Curriculum

Student Learning Outcomes

Each BS Engineering Physics graduate will have: Physics field session

  • an ability to apply knowledge of mathematics, science, and engineering;
  • an ability to design and conduct experiments, and analyze and interpret data;
  • an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability;
  • an ability to function on multi-disciplinary teams;
  • an ability to identify, formulate and solve engineering problems;
  • an understanding of professional and ethical responsibility;
  • an ability to communicate effectively;
  • the broad education necessary to understand the impact of engineering solutions in a global and societal context;
  • a recognition of the need for, and an ability to engage in lifelong learning;
  • a knowledge of contemporary issues;
  • an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.

Physics Program Educational Objectives

The BS Engineering Physics program prepares graduates who, based on factual knowledge and other skills necessary to construct an appropriate understanding of physical phenomena in applied contexts, will:

  • obtain a range of positions in industry or positions in government facilities or pursue graduate education in engineering, science, or related fields;
  • communicate and perform effectively within the criteria of their chosen careers;
  • engage in appropriate professional societies and continuing education activities;
  • participate ethically as professional members of the global society.

Undergraduate

Undergraduate

Bachelor of Science in Engineering Physics
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Principles of Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125*.MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.

*Nuclear Engineering Combined students should take CHGN122.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√. INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL15.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.
√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.
√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies.Prerequisite:PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0
H&SS Elective I3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.
√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.
√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0
Free Elective I3.0
Free Elective II3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5
Engineering Topics Elective3.0
H&SS Elective III3.0
Free Elective III3.0
Free Elective IV3.0
TOTAL15.0
GRAND TOTAL130.5
Note: H&SS is Humanities and Social Sciences, and it includes HASS & EBGN courses

PDF version

Combined BS/MS Programs

BS Engineering Physics / MS Applied Math and Statistics
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN125 Molecular Engineering and Materials Chemistry

CHGN125. MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√. INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

MATH300 Foundations of Advanced Mathematics

MATH300. FOUNDATIONS OF ADVANCED MATHEMATICS. 3.0 SEMESTER HRS. (I) (WI) This course is an introduction to communication in mathematics. This writing intensive course provides a transition from the Calculus sequence to theoretical mathematics curriculum in CSM. Topics include logic and recursion, techniques of mathematical proofs, reading and writing proofs. Prerequisites: MATH112 or MATH122. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL15.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies.Prerequisite:PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0

HASS200 Global Studies

HASS200.HASS200. GLOBAL STUDIES. 3.0 SEMESTER HRS. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326 √. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

MATH301 Introduction to Analysis

MATH301. INTRODUCTION TO ANALYSIS. 3.0 SEMESTER HRS. Equivalent with MATH401, (II) This course is a first course in real analysis that lays out the context and motivation of analysis in terms of the transition from power series to those less predictable series. The course is taught from a historical perspective. It covers an introduction to the real numbers, sequences and series and their convergence, real-valued functions and their continuity and differentiability, sequences of functions and their pointwise and uniform convergence, and Riemann-Stieltjes integration theory. Prerequisite: MATH300. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0

MATH455 Partial Differential Equations

MATH455. PARTIAL DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. (I, II) Linear partial differential equations, with emphasis on the classical second-order equations: wave equation, heat equation, Laplace's equation. Separation of variables, Fourier methods, Sturm-Liouville problems. Prerequisites: MATH225 or MATH235 and MATH213 or MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

MATH500 Linear Vector Spaces

MATH500^. LINEAR VECTOR SPACES. 3.0 SEMESTER HRS. (I) Finite dimensional vector spaces and subspaces: dimension, dual bases, annihilators. Linear transformations, matrices, projections, change of basis, similarity. Determinants, eigenvalues, multiplicity. Jordan form. Inner products and inner product spaces with orthogonality and completeness. Prerequisite: MATH301, MATH332. 3 hours lecture; 3 semester hours.

^ two 500-level courses can double-count towards grad. Degree
3.0

H&SS Elective I

3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

MATH551 Computational Linear Algebra or any 500 elective

MATH551 ^. COMPUTATIONAL LINEAR ALGEBRA. 3.0 SEMESTER HRS. (II) Numerical analysis of algorithms for solving linear systems of equations, least squares methods, the symmetric eigenproblem, singular value decomposition, conjugate gradient iteration. Modification of algorithms to fit the architecture. Error analysis, existing software packages. 3 hours lecture; 3 semester hours. Prerequisite: MATH332, MATH 307.

^ two 500-level courses can double-count towards grad. Degree
3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0
H&SS Elective III3.0
TOTAL15.0
GRAND TOTAL130.5
Note: H&SS is Humanities and Social Sciences, and it includes HASS & EBGN courses.
Any additional courses beyond the 130.5 credit limit may be counted toward MS degree; consult advisor.
For details of fifth (graduate year) courses, contact Prof. Karin Leiderman

PDF version

 
BS Engineering Physics / MS Chemical & Biological Engineering
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125. MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√ INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

CBEN210 Introduction to Thermodynamics

CBEN210. INTRO TO THERMODYNAMICS. 3.0 SEMESTER HRS. (I, II) Introduction to the fundamental principles of classical engineering thermodynamics. Application of mass and energy balances to closed and open systems including systems undergoing transient processes. Entropy generation and the second law of thermodynamics for closed and open systems. Introduction to phase equilibrium and chemical reaction equilibria. Ideal solution behavior. May not also receive credit for CHGN209, MEGN361, or GEGN330. Prerequisites: CHGN121, CHGN122, MATH111. Co-requisites: MATH112, PHGN100. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL18.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CBEN201 Material and Energy Balances

CBEN201. MATERIAL AND ENERGY BALANCES. 3.0 SEMESTER HRS. Equivalent with CHEN201, (II) Introduction to the formulation and solution of material and energy balances on chemical processes. Establishes the engineering approach to problem solving, the relations between known and unknown process variables, and appropriate computational methods. Prerequisites: CHGN122. Co-requisites: CBEN210, CBEN200, MATH213, MATH225. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

CBEN357 Chemical Engineering Thermodynamics

CBEN357. CHEMICAL ENGINEERING THERMODYNAMICS. 3.0 SEMESTER HRS. (I) Introduction to non-ideal behavior in thermodynamic systems and their applications. Phase and reaction equilibria are emphasized. Relevant aspects of computer-aided process simulation are incorporated. Prerequisites: CBEN210 (or equivalent), MATH225, grade of C- or better in CBEN201. 3 hours lecture; 3 semester hours.
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies.Prerequisite:PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0
H&SS Elective I3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

CBEN308 Heat Transfer

CBEN308. HEAT TRANSFER. 3.0 SEMESTER HRS. (II) This course covers theory and applications of energy transfer: conduction, convection, and radiation. Fundamentals of microscopic phenomena and their application to macroscopic systems are addressed. Course work also includes application of relevant numerical methods to solve heat transfer problems. Prerequisites: MATH225, grade of C- or better in CBEN307. 3 hours lecture; 3 semester hours.
4.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0
TOTAL16.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

CBEN430 Transport Phenomena

CBEN430. TRANSPORT PHENOMENA. 3.0 SEMESTER HRS. (I) This course covers theory and applications of momentum, energy, and mass transfer based on microscopic control volumes. Analytical and numerical solution methods are employed in this course. 3 hours lecture; 3 semester hours. Prerequisite: CBEN307, CBEN308 or CBEN314, CBEN357, CBEN375, MATH225.
3.0

CBEN418 Kinetics Reaction Engineering

CBEN418. KINETICS AND REACTION ENGINEERING. 3.0 SEMESTER HRS.This course emphasizes applications of the fundamentals of thermodynamics, physical chemistry, organic chemistry, and material and energy balances to the engineering of reactive processes. Key topics include reactor design, acquisition and analysis of rate data, and heterogeneous catalysis. Computational methods as related to reactor and reaction modeling are incorporated. Prerequisite: CBEN308 or CBEN314, CBEN357, MATH225, CHGN221. Co-requisite: CHGN351.
3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective III3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
TOTAL12.0
GRAND TOTAL131.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG. YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.

PDF version

BS Engineering Physics / MS Computer Science
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Principles of Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125*.MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.

* Recommended, but not strictly required
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√. INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

CSCI261 Programming Concepts #

CSCI261 *. PROGRAMMING CONCEPTS. 3.0 SEMESTER HRS. Equivalent with MACS261, (I, II) This course introduces fundamental computer programming concepts using a high-level language and a modern development environment. Programming skills include sequential, selection, and repetition control structures, functions, input and output, primitive data types, basic data structures including arrays and pointers, objects, and classes. Software engineering skills include problem solving, program design, and debugging practices. Prerequisite: none. 3 hours lecture; 3 semester hours.

* Recommended, but not strictly required
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL15.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG CIRCUITS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI262 Data Structures #

CSCI262. DATA STRUCTURES. 3.0 SEMESTER HRS. (I, II, S) Defining and using data structures such as linked lists, stacks, queues, binary trees, binary heap, and hash tables. Introduction to algorithm analysis, with emphasis on sorting and search routines. Language skills: abstract data types, templates, and inheritance. 3 hours lecture; 3 semester hours. Prerequisite: CSCI261 with a grade of C- or higher.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384 √. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies.Prerequisite:PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0

CSCI358 Discrete Mathematics #

CSCI358. DISCRETE MATHEMATICS. 3.0 SEMESTER HRS. (I, II) This course is an introductory course in discrete mathematics and algebraic structures. Topics include: formal logic; proofs, recursion, analysis of algorithms; sets and combinatorics; relations, functions, and matrices; Boolean algebra and computer logic; trees, graphs, finite-state machines, and regular languages. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

HASS200 Global Studies

HASS200. GLOBAL STUDIES. 3.0 SEMESTER HRS. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0
TOTAL18.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

CSCI341 Computer Organization

CSCI341. COMPUTER ORGANIZATION. 3.0 SEMESTER HRS. (I, II) Covers the basic concepts of computer architecture and organization. Topics include machine level instructions and operating system calls used to write programs in assembly language, computer arithmetics, performance, processor design, and pipelining techniques. This course provides insight into the way computers operate at the machine level. Prerequisite: CSCI261. Co-requisites: CSCI262. 3 hours lecture; 3 semester hours.
3.0
Engineering Topics Elective3.0
TOTAL18.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0

CSCI306 Software Engineering #

CSCI306. SOFTWARE ENGINEERING. 3.0 SEMESTER HRS. (I, II) Introduction to software engineering processes and object-oriented design principles. Topics include the Agile development methodology, test-driven development, UML diagrams, use cases and several object-oriented design patterns. Course work emphasizes good programming practices via version control and code reviews. Prerequisite: CSCI262 with grade of C- or higher. 3 hours lecture; 3 semester hours.
3.0

CSCI406 Algorithms #^

CSCI406^. ALGORITHMS. 3.0 SEMESTER HRS. Equivalent with MATH406, (I, II) Reasoning about algorithm correctness (proofs, counterexamples). Analysis of algorithms: asymptotic and practical complexity. Review of dictionary data structures (including balanced search trees). Priority queues. Advanced sorting algorithms (heapsort, radix sort). Advanced algorithmic concepts illustrated through sorting (randomized algorithms, lower bounds, divide and conquer). Dynamic programming. Backtracking. Algorithms on unweighted graphs (traversals) and weighted graphs (minimum spanning trees, shortest paths, network flows and bipartite matching); NP-completeness and its consequences. Prerequisite: CSCI262 with a grade of C- or higher, (MATH213 or MATH223 or MATH224), and (MATH300 or MATH358 or CSCI358). 3 hours lecture; 3 semester hours.
^ Double count
3.0
H&SS Elective I3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

CSCI442 Operating Systems #^

CSCI442^. OPERATING SYSTEMS. 3.0 SEMESTER HRS. (I, II) Introduces the essential concepts in the design and implementation of operating systems: what they can do, what they contain, and how they are implemented. Despite rapid OS growth and development, the fundamental concepts learned in this course will endure. We will cover the following high-level OS topics, roughly in this order: computer systems, processes, processor scheduling, memory management, virtual memory, threads, and process/thread synchronization. This course provides insight into the internal structure of operating systems; emphasis is on concepts and techniques that are valid for all computers. Prerequisite: CSCI262 with a grade of C- or higher, CSCI274, CSCI341. 3 hours lecture; 3 semester hours.
^ Double count
3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0
H&SS Elective III3.0
TOTAL15.0
GRAND TOTAL136.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
# Taking this set of courses fulfills the requirements for a CS undergraduate minor.
^ Double count towards MS in Computer Science.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG. YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.

PDF version

BS Engineering Physics / MS Data Science
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125. MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√ INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

MATH201 Probability and Statistics for Engineers

MATH201. PROBABILITY AND STATISTICS FOR ENGINEERS. 3.0 SEMESTER HRS. Equivalent with MATH323, (I,II,S) This course is an introduction to Probability and Statistics, including fundamentals of experimental design and data collection, the summary and display of data, elementary probability, propagation of error, discrete and continuous probability models, interval estimation, hypothesis testing, and linear regression with emphasis on applications to science and engineering. Prerequisites: MATH112, MATH122 or concurrent enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL15.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI261 Programming Concepts

CSCI261*. PROGRAMMING CONCEPTS. 3.0 SEMESTER HRS. (I, II, S) This course introduces fundamental computer programming concepts using a high-level language and a modern development environment. Programming skills include sequential, selection, and repetition control structures, functions, input and output, primitive data types, basic data structures including arrays and pointers, objects, and classes. Software engineering skills include problem solving, program design, and debugging practices. 3 hours lecture; 3 semester hours.

* Use CSCI261 instead of CSCI250 as pre-requisite.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies.Prerequisite:PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0

HASS200 Global Studies

HASS200. GLOBAL STUDIES. 3.0 SEMESTER HRS. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

MATH334 Introduction to Probability

MATH334. INTRODUCTION TO PROBABILITY. 3.0 SEMESTER HRS. (I) An introduction to the theory of probability essential for problems in science and engineering. Topics include axioms of probability, combinatorics, conditional probability and independence, discrete and continuous probability density functions, expectation, jointly distributed random variables, Central Limit Theorem, laws of large numbers. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture, 3 semester hours.
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0

CSCI262 Data Structures

CSCI262. DATA STRUCTURES. 3.0 SEMESTER HRS. (I, II, S) Defining and using data structures such as linked lists, stacks, queues, binary trees, binary heap, and hash tables. Introduction to algorithm analysis, with emphasis on sorting and search routines. Language skills: abstract data types, templates, and inheritance. 3 hours lecture; 3 semester hours. Prerequisite: CSCI261 with a grade of C- or higher.
3.0

MATH530 Statistical Methods I

MATH530. STATISTICAL METHODS I. 3.0 SEMESTER HRS. (I) Introduction to probability, random variables, and discrete and continuous probability models. Elementary simulation. Data summarization and analysis. Confidence intervals and hypothesis testing for means and variances. Chi square tests. Distribution-free techniques and regression analysis. Prerequisite: MATH213 or equivalent.
3.0
H&SS Elective I3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

MATH560 Introduction to Key Statistical Learning Methods

MATH560^$. INTRODUCTION TO KEY STATISTICAL LEARNING METHODS I. 3.0 SEMESTER HRS. Part one of a two-course series introducing statistical learning methods with a focus on conceptual understanding and practical applications. Methods covered will include Introduction to Statistical Learning, Linear Regression, Classification, Resampling Methods, Basis Expansions, Regularization, Model Assessment and Selection.

^ Double-count
$ Substitute for Engineering Topics Elective
3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0
H&SS Elective III3.0
TOTAL15.0
GRAND TOTAL130.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG. YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.

PDF version

BS Engineering Physics / MS Electrical Engineering, Energy Systems Power Electronics
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Principles of Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125*.MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.

* Recommended, but not strictly required
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√. INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

CSCI261 Computer Programming

CSCI261 *. PROGRAMMING CONCEPTS. 3.0 SEMESTER HRS. Equivalent with MACS261, (I, II) This course introduces fundamental computer programming concepts using a high-level language and a modern development environment. Programming skills include sequential, selection, and repetition control structures, functions, input and output, primitive data types, basic data structures including arrays and pointers, objects, and classes. Software engineering skills include problem solving, program design, and debugging practices. Prerequisite: none. 3 hours lecture; 3 semester hours.

* Recommended, but not strictly required
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL18.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

EENG282 Circuits

EENG282. ELECTRICAL CIRCUITS. 4.0 SEMESTER HRS. (I,II) This course provides an engineering science analysis of electrical circuits. DC and AC (single-phase and three-phase) networks are presented. Transient analysis of RC and RL circuits is studied as is the analysis of circuits in sinusoidal steady-state using phasor concepts. The following topics are included: DC and AC circuit analysis, current and charge relationships. Ohm's Law, resistors, inductors, capacitors, equivalent resistance and impedance, Kirchhoff's Laws, Thevenin and Norton equivalent circuits, superposition and source transformation, power and energy, maximum power transfer, first order transient response, algebra of complex numbers, phasor representation, time domain and frequency domain concepts, and steady-state analysis of single-phase and three-phase ac power circuits. May not also receive credit for EENG281. Prerequisites: PHGN200. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384 √. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies.Prerequisite:PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0
H&SS Elective I3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

EENG389 Fundamentals of Electric Machinery

EENG389√. FUNDAMENTALS OF ELECTRIC MACHINERY. 4.0 SEMESTER HRS. Equivalent with EGGN389, (I, II) This course provides an engineering analysis of electrical machines. The following topics are included: review of three-phase AC circuit analysis, magnetic circuit concepts and materials, transformer analysis and operation, modelling, steady-state analysis of rotating machines, synchronous and poly-phase induction motors, and DC machines and laboratory study of external characteristics of machines and transformers. Prerequisite: EENG281 (C- or better) or EENG282 (C- or better). 3 hours lecture, 3 hours lab; 4 semester hours.

√ Significant design
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0

EENG480 Power Systems Analysis

EENG480√. POWER SYSTEMS ANALYSIS. 3.0 SEMESTER HRS. Equivalent with EGGN484, (I) 3-phase power systems, per-unit calculations, modeling and equivalent circuits of major components, voltage drop, fault calculations, symmetrical components and unsymmetrical faults, system grounding, power-flow, selection of major equipment, design of electric power distribution systems. Prerequisite: EENG389. 3 hours lecture; 3 semester hours.

√ Significant design
3.0

EENG Optional Courses

Optional courses for the fall semester are

EENG390. ENERGY, ELECTRICITY, RENEWABLE ENERGY, AND ELECTRIC POWER GRID. 3.0 SEMESTER HRS. (I) (WI) Fundamentals and primary sources of energy; Energy conversion; Comprehensive energy picture in USA and the world; Generation of electric power today; Understanding of the electric power grid and how it works; Renewable energy resources and distributed generation; Wind and PV power generation; Future trend in electricity delivery; Energy sustainability. Prerequisites: EENG281 or EENG282 or PHGN215. 3 hours lecture; 3 semester hours.--Energy, Electricity, Renewable Energy and Electric Power Grid

and

EENG470EENG470. INTRODUCTION TO HIGH POWER ELECTRONICS. 3.0 SEMESTER HRS. Equivalent with EGGN485, (I) Power electronics are used in a broad range of applications from control of power flow on major transmission lines to control of motor speeds in industrial facilities and electric vehicles, to computer power supplies. This course introduces the basic principles of analysis and design of circuits utilizing power electronics, including AC/DC, AC/AC, DC/DC, and DC/AC conversions in their many configurations. Prerequisite: EENG282. 3 hours lecture; 3 semester hours.
3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
TOTAL18.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

EENG481 Analysis and Design of Advanced Energy Systems

EENG481√. ANALYSIS AND DESIGN OF ADVANCED ENERGY SYSTEMS. 3.0 SEMESTER HRS. Equivalent with EGGN487, (II) The course investigates the design, operation and analysis of complex interconnected electric power grids, the basis of our electric power infrastructure. Evaluating the system operation, planning for the future expansion under deregulation and restructuring, ensuring system reliability, maintaining security, and developing systems that are safe to operate has become increasingly more difficult. Because of the complexity of the problems encountered, analysis and design procedures rely on the use of sophisticated power system simulation computer programs. The course features some commonly used commercial software packages. Prerequisites: EENG480. 2 Lecture Hours, 3 Laboratory Hours, 3 Semester Hours.

√ Significant design
3.0
H&SS Elective III3.0

EENG Optional Course

Optional course for the spring semester is

EENG489. COMPUTATIONAL METHODS IN ENERGY SYSTEMS AND POWER ELECTRONICS. 3.0 SEMESTER HRS. (II) The course presents a unified approach for understanding and applying computational methods, computer-aided analysis and design of electric power systems. Applications will range from power electronics to power systems, power quality, and renewable energy. Focus will be on how these seemingly diverse applications all fit within the smart-grid paradigm. This course builds on background knowledge of electric circuits, control of dc/dc converters and inverters, energy conversion and power electronics by preparing students in applying the computational methods for multi-domain simulation of energy systems and power electronics engineering problems. Prerequisites: EENG282 or EENG382. 1 hour lecture, 2 lab hours, 3 semester hours.--Comp. Methods in Energy Systems and Power Electronics.
3.0

EENG307 Introduction to Feedback Control Systems

EENG307√. INTRODUCTION TO FEEDBACK CONTROL SYSTEMS. 3.0 SEMESTER HRS. Equivalent with EGGN307,EGGN407, (I, II) System modeling through an energy flow approach is presented, with examples from linear electrical, mechanical, fluid and/or thermal systems. Analysis of system response in both the time domain and frequency domain is discussed in detail. Feedback control design techniques, including PID, are analyzed using both analytical and computational methods. Prerequisites: EENG281 or EENG282 or PHGN215, and MATH225. 3 hours lecture; 3 semester hours.

√ Significant design
3.0
TOTAL15.0
GRAND TOTAL136.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG. YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.

PDF version

BS Engineering Physics / MS Electrical Engineering, Information and Systems Sciences
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN101 Earth and Environmental Systems or CBEN110 Fundamentals of Biology I or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 SEMESTER HRS. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125. MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√. INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

CSCI261 Computer Programming

CSCI261*. PROGRAMMING CONCEPTS. 3.0 SEMESTER HRS. Equivalent with MACS261, (I, II) This course introduces fundamental computer programming concepts using a high-level language and a modern development environment. Programming skills include sequential, selection, and repetition control structures, functions, input and output, primitive data types, basic data structures including arrays and pointers, objects, and classes. Software engineering skills include problem solving, program design, and debugging practices. Prerequisite: none. 3 hours lecture; 3 semester hours.

* Recommended, but not strictly required
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL18.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies.Prerequisite:PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0

EENG307 Introduction to Feedback Control Systems

EENG307√. INTRODUCTION TO FEEDBACK CONTROL SYSTEMS. 3.0 SEMESTER HRS. Equivalent with EGGN307,EGGN407, (I, II) System modeling through an energy flow approach is presented, with examples from linear electrical, mechanical, fluid and/or thermal systems. Analysis of system response in both the time domain and frequency domain is discussed in detail. Feedback control design techniques, including PID, are analyzed using both analytical and computational methods. Prerequisites: EENG281 or EENG282 or PHGN215, and MATH225. 3 hours lecture; 3 semester hours.

√ Significant design
3.0

EENG310 Information Systems Science

EENG310. INFORMATION SYSTEMS SCIENCE I. 4.0 SEMESTER HRS. Equivalent with EENG388,EGGN388, (I, II) The interpretation, representation and analysis of time-varying phenomena as signals which convey information and noise; applications are drawn from filtering, audio and image processing, and communications. Topics include convolution, Fourier series and transforms, sampling and discrete-time processing of continuous-time signals, modulation, and z-transforms. Prerequisites: (EENG281 or EENG282 or PHGN215) and MATH225. 3 hours lecture; 1 hour recitation, 4 semester hours.
4.0
TOTAL19.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

EENG311 Information Systems Science II

EENG311 √. INFORMATION SYSTEMS SCIENCE II. 3.0 SEMESTER HRS. (I,II) This course covers signals and noise in electrical systems. Topics covered include information theory, signal to noise ratio, random variables, probability density functions, statistics, noise, matched filters, coding and entropy, power spectral density, and bit error rate. Applications are taken from radar, communications systems, and signal processing. Prerequisite: EENG310. 3 hours lecture; 3 semester hours.

√ Significant design
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0

EENG417 Modern Control Design

EENG417√ %. MODERN CONTROL DESIGN. 3.0 SEMESTER HRS. Equivalent with EGGN417, (I) Control system design with an emphasis on observer-based methods, from initial open-loop experiments to final implementation. The course begins with an overview of feedback control design technique from the frequency domain perspective, including sensitivity and fundamental limitations. State space realization theory is introduced, and system identification methods for parameter estimation are introduced. Computerbased methods for control system design are presented. Prerequisite: EENG307. 3 lecture hours, 3 semester hours.

√ Significant design
%EENG417 can apply to graduate degree, but not double-count. See advisor.
3.0

MEGN441 Introduction to Robotics

MEGN441√. INTRODUCTION TO ROBOTICS. 3.0 SEMESTER HRS. Equivalent with EGGN400, (I, II) Overview and introduction to the science and engineering of intelligent mobile robotics and robotic manipulators. Covers guidance and force sensing, perception of the environment around a mobile vehicle, reasoning about the environment to identify obstacles and guidance path features and adaptively controlling and monitoring the vehicle health. A lesser emphasis is placed on robot manipulator kinematics, dynamics, and force and tactile sensing. Surveys manipulator and intelligent mobile robotics research and development. Introduces principles and concepts of guidance, position, and force sensing; vision data processing; basic path and trajectory planning algorithms; and force and position control. EENG307 is recommended to be completed before this course. Prerequisites: CSCI261 and EENG281 or EENG282 or PHGN215. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0
H&SS Elective I3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0

EENG411 Digital Signal Processing

EENG411√%. DIGITAL SIGNAL PROCESSING. 3.0 SEMESTER HRS. Equivalent with EGGN481, (II) This course introduces the mathematical and engineering aspects of digital signal processing (DSP). An emphasis is placed on the various possible representations for discrete-time signals and systems (in the time, z-, and frequency domains) and how those representations can facilitate the identification of signal properties, the design of digital filters, and the sampling of continuous-time signals. Advanced topics include sigma-delta conversion techniques, multi-rate signal processing, and spectral analysis. The course will be useful to all students who are concerned with information bearing signals and signal processing in a wide variety of application settings, including sensing, instrumentation, control, communications, signal interpretation and diagnostics, and imaging. Prerequisite: EENG310. 3 hours lecture; 3 semester hours.

% EENG411 can apply to graduate degree. See advisor.
√ Significant design
3.0
H&SS Elective II3.0
H&SS Elective III3.0
TOTAL15.0
GRAND TOTAL137.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG. YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.

PDF version

BS Engineering Physics / MS Engineering and Technology Management (ETM)
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125. MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√ INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL15.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies. Prerequisite: PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0
H&SS Elective I3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0
Free Elective I3.0

ETM Graduate Course 1

Two graduate courses will be double-counted.

EBGN525. BUSINESS ANALYTICS. 3.0 SEMESTER HRS. (I) This introductory course provides an analytic approach to problems that arise in business. Evaluating alternative courses of action in today's competitive business environment requires the extensive use of data based analytic methods. This course covers deterministic optimization models such as linear programming, non-linear programming, integer programming, and network modeling and an introduction to probability models and linear regression. Applications of the models are covered using spreadsheets. The intent of the course is to enhance analytic modeling abilities and to develop quantitative managerial and spreadsheet skills to support and improve decision making. The models cover applications in the areas of earth, energy, production, logistics, work force scheduling, marketing and finance. 3 hours lecture; 3 semester hours.

EBGN553. PROJECT MANAGEMENT. 3.0 SEMESTER HRS. (I, II) Project management has evolved into a business process broadly used in organizations to accomplish goals and objectives through teams. This course covers the essential principles of traditional project management consistent with professional certification requirements (the Project Management Institute?s PMP certification) as well as an introduction to current agile project management methodologies. The traditional project management phases of project initiation, planning, execution, monitoring and control, and project closure are covered including related scheduling, estimating, risk assessment and other analytical tools. Students will gain experience using Microsoft Project. Organizational structure and culture issues are analyzed to understand how they can impact project management success, and the concepts of project portfolios and project programs are applied from the organizational perspective. Agile project management methodologies are introduced, including adaptive and iterative processes, scrum, lean and other agile tools and techniques. By the end of the course, students will understand how traditional and agile project. Prerequisites: Enrollment in the M.S. in Engineering and Technology Management (ETM) Program. 3 hours lecture; 3 semester hours.

EBGN563. MANAGEMENT OF TECHNOLOGY. 3.0 SEMESTER HRS. Case studies and reading assignments explore strategies for profiting from technology assets and technological innovation. The roles of strategy, core competencies, product and process development, manufacturing, R&D, marketing, strategic partnerships, alliances, intellectual property, organizational architectures, leadership and politics are explored in the context of technological innovation. The critical role of organizational knowledge and learning in a firm?s ability to leverage technological innovation to gain competitive advantage is explored. The relationships between an innovation, the competencies of the innovating firm, the ease of duplication of the innovation by outsiders, the nature of complementary assets needed to successfully commercialize an innovation and the appropriate strategy for commercializing the innovation are developed. Students explore the role of network effects in commercialization strategies, particularly with respect to standards wars aimed at establishing new dominant designs. Prerequisite: EBGN5043 recommended.

EBGN560. DECISION ANALYSIS. 3.0 SEMESTER HRS. (I) Introduction to the science of decision making and risk theory. Application of decision analysis and utility theory to the analysis of strategic decision problems. Focuses on the application of quantitative methods to business problems characterized by risk and uncertainty. Choice problems such as decisions concerning major capital investments, corporate acquisitions, new product introductions, and choices among alternative technologies are conceptualized and structured using the concepts introduced in this course. 3 hours lecture; 3 semester hours.

or other approved EBGN course.
3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5
Engineering Topics Elective3.0
H&SS III3.0

ETM Graduate Course 2

Two graduate courses will be double-counted.

EBGN525. BUSINESS ANALYTICS. 3.0 SEMESTER HRS. (I) This introductory course provides an analytic approach to problems that arise in business. Evaluating alternative courses of action in today's competitive business environment requires the extensive use of data based analytic methods. This course covers deterministic optimization models such as linear programming, non-linear programming, integer programming, and network modeling and an introduction to probability models and linear regression. Applications of the models are covered using spreadsheets. The intent of the course is to enhance analytic modeling abilities and to develop quantitative managerial and spreadsheet skills to support and improve decision making. The models cover applications in the areas of earth, energy, production, logistics, work force scheduling, marketing and finance. 3 hours lecture; 3 semester hours.

EBGN553. PROJECT MANAGEMENT. 3.0 SEMESTER HRS. (I, II) Project management has evolved into a business process broadly used in organizations to accomplish goals and objectives through teams. This course covers the essential principles of traditional project management consistent with professional certification requirements (the Project Management Institute?s PMP certification) as well as an introduction to current agile project management methodologies. The traditional project management phases of project initiation, planning, execution, monitoring and control, and project closure are covered including related scheduling, estimating, risk assessment and other analytical tools. Students will gain experience using Microsoft Project. Organizational structure and culture issues are analyzed to understand how they can impact project management success, and the concepts of project portfolios and project programs are applied from the organizational perspective. Agile project management methodologies are introduced, including adaptive and iterative processes, scrum, lean and other agile tools and techniques. By the end of the course, students will understand how traditional and agile project. Prerequisites: Enrollment in the M.S. in Engineering and Technology Management (ETM) Program. 3 hours lecture; 3 semester hours.

EBGN563. MANAGEMENT OF TECHNOLOGY. 3.0 SEMESTER HRS. Case studies and reading assignments explore strategies for profiting from technology assets and technological innovation. The roles of strategy, core competencies, product and process development, manufacturing, R&D, marketing, strategic partnerships, alliances, intellectual property, organizational architectures, leadership and politics are explored in the context of technological innovation. The critical role of organizational knowledge and learning in a firm?s ability to leverage technological innovation to gain competitive advantage is explored. The relationships between an innovation, the competencies of the innovating firm, the ease of duplication of the innovation by outsiders, the nature of complementary assets needed to successfully commercialize an innovation and the appropriate strategy for commercializing the innovation are developed. Students explore the role of network effects in commercialization strategies, particularly with respect to standards wars aimed at establishing new dominant designs. Prerequisite: EBGN5043 recommended.

EBGN560. DECISION ANALYSIS. 3.0 SEMESTER HRS. (I) Introduction to the science of decision making and risk theory. Application of decision analysis and utility theory to the analysis of strategic decision problems. Focuses on the application of quantitative methods to business problems characterized by risk and uncertainty. Choice problems such as decisions concerning major capital investments, corporate acquisitions, new product introductions, and choices among alternative technologies are conceptualized and structured using the concepts introduced in this course. 3 hours lecture; 3 semester hours.

or other approved EBGN course.
3.0

EBGN321 Engineering Economics

EBGN321. ENGINEERING ECONOMICS. 3.0 SEMESTER HRS. Equivalent with CHEN421, (II) Time value of money concepts of present worth, future worth, annual worth, rate of return and break-even analysis applied to after-tax economic analysis of mineral, petroleum and general investments. Related topics on proper handling of (1) inflation and escalation, (2) leverage (borrowed money), (3) risk adjustment of analysis using expected value concepts, (4) mutually exclusive alternative analysis and service producing alternatives. Prerequisite: EBGN201. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
GRAND TOTAL130.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG.

PDFversion 

BS Engineering Physics / MS Materials Science
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125. MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√. INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL15.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies. Prerequisite: PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0
H&SS Elective I3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0

MLGN Elective, e,g. PHGN440 Solid State Physics

PHGN440◆. SOLID STATE PHYSICS. 3.0 SEMESTER HRS. An elementary study of the properties of solids including crystalline structure and its determination, lattice vibrations, electrons in metals, and semiconductors. (Graduate students in physics may register only for PHGN440.) Prerequisite: PHGN320. 3 hours lecture; 3 semester hours.

◆ Electronic Materials Physics electives. For other Materials Science options, consult advisor.
3.0

MLGN593 Bonding/Structure/Crystallography

MLGN593●. BONDING, STRUCTURE, AND CRYSTALLOGRAPHY. 3.0 SEMESTER HRS.(I) This course will be an overview of condensed matter structure from the atomic scale to the mesoscale. Students will gain a perspective on electronic structure as it relates to bonding, long range order as it relates to crystallography and amorphous structures, and extend these ideas to nanostructure and microstructure. Examples relating to each hierarchy of structure will be stressed, especially as they relate to reactivity, mechanical properties, and electronic and optical properties. Prerequisites: A 300 level or higher course in thermodynamics. 3 semester hours.

● Required graduate classes apply toward undergraduate degree.
3.0
H&SS Elective II3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

MLGN Elective

PHGN419◆. Electronic Materials Physics electives. For other Materials Science options, consult advisor.
3.0

MLGN592 Advanced Materials Kinetics and Transport

MLGN592●. ADVANCED MATERIALS KINETICS AND TRANSPORT. 3.0 SEMESTER HRS. (I) A broad treatment of homogenous and heterogeneous kinetic transport and reaction processes in the gas, liquid, and solid states, with a specific emphasis on heterogeneous kinetic processes involving gas/solid, liquid/solid, and solid/solid systems. Reaction rate theory, nucleation and growth, and phase transformations will be discussed. A detailed overview of mass, heat, and charge transport in condensed phases is provided including a description of fundamental transport mechanisms, the development of general transport equations, and their application to a number of example systems. Prerequisites: A 300 level or higher course in thermodynamics, introductory college chemistry, electricity and magnetism, differential equations. 3 semester hours.

● Required graduate classes apply toward undergraduate degree.
3.0

MLGN Elective, e.g. PHGN535 Microelectronics Processing Lab

PHGN535◆. INTERDISCIPLINARY MICROELECTRONICS PROCESSING LABORATORY. 3.0 SEMESTER HRS. Equivalent with CBEN435, CBEN535, CHEN435, CHEN535, MLGN535, PHGN435, (II) Explores the application of science and engineering principles to the fabrication and testing of microelectronic devices with emphasis on specific unit operations and interrelation among processing steps. Teams work together to fabricate, test, and optimize simple devices. Prerequisite: none. 1 hour lecture, 4 hours lab; 3 semester hours..

◆ Electronic Materials Physics electives. For other Materials Science options, consult advisor.
3.0
H&SS Elective III3.0
TOTAL15.0
GRAND TOTAL130.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG:
https://materials.mines.edu/graduate-programs/ and
https://catalog.mines.edu/graduate/programs/interdisciplinaryprograms/materialsscience/#majortext.
YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.

PDF version

BS Engineering Physics / MS Mechanical Engineering
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN101 Earth and Environmental Systems or CBEN110 Fundamentals of Biology or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 SEMESTER HRS. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

+

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.

*** Biomechanics Track Combined students should take CBEN110.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Principles of Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125*.MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√. INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

MEGN200 Introduction to Mechanical Engineering: Programming and Hardware Interface

MEGN200√. INTRODUCTION TO MECHANICAL ENGINEERING: PROGRAMMING AND HARDWARE INTERFACE. 3.0 SEMESTER HRS. (I, II, S) This course introduces programming skills using Matlab as a means to collect and analyze data and utilizes Arduinos as a platform for prototyping simple circuits and designs. Additionally, the course introduces basic probability and statistics through data sets and real time data collection. For design topics this course reinforces problem definition and identifying constraints and criteria, encourages multiple solutions, and introduces analysis in design through prototyping. Prerequisite: EDNS151 or EDNS155 or HNRS105 or HNRS115. 3 hours lecture; 3 semester hours.

√ Significant design
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

CEEN241 Statics

CEEN241. STATICS. 3.0 SEMESTER HRS. Equivalent with DCGN241, (I, II, S) Forces, moments, couples, equilibrium, centroids and second moments of areas, volumes and masses, hydrostatics, friction, virtual work. Applications of vector algebra to structures. Prerequisite: PHGN100 and credit or concurrent enrollment in MATH112 or MATH113. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL18.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies. Prerequisite: PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0
H&SS Elective I3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

MEGN212 Introduction to Solid Mechanics

MEGN212. INTRODUCTION TO SOLID MECHANICS. 3.0 SEMESTER HRS.Equivalent with MEGN312, This course introduces students to the principles of Solid Mechanics. Upon completion, students will be able to apply Solid Mechanics theories to analyze and design machine elements and structures using isotropic materials. The skills and knowledge learned in this course form the required foundation for Intro to Finite Element Analysis, Advanced Mechanics of Material, Machine Design and other advanced topics in engineering curricula. Practically, it enables students to solve real-world mechanical behavior problems that involve structural materials. This courses places an early focus on ensuring students have mastered the creation of free body diagrams given a mechanical system, then moves on to introduce and reinforce learning of stress and strain transformations, and failure theories. In practicing this knowledge, students will be able to analyze and design machine elements and structures of homogenous and heterogeneous geometries under axial, torsional, bending, transverse shear, internal pressure loads, and non-uniform loads. Students will be able to quantitatively communicate the outcomes. May not also receive credit for CEEN311. Prerequisite: CEEN241 (C- or better).
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0
MEGN Course 1*3.0
MEGN Course 2*3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5
MEGN Course 3*3.0
H&SS Elective III3.0
MEGN Course 4*3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
GRAND TOTAL133.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
* See the attached sheet listing the appropriate courses for each of 4 different Mechanical Engineering graduate degree tracks.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG. YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.
BS Engineering Physics / MS Nuclear Engineering
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Principles of Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125*.MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.

* Nuclear Engineering Combined students should take the CHGN122/CHGN209 sequence.

CHGN209. INTRODUCTION TO CHEMICAL THERMODYNAMICS. 3.0 SEMESTER HRS. Equivalent with DCGN209, (I, II, S) Introduction to the fundamental principles of classical thermodynamics, with particular emphasis on chemical and phase equilibria. Volume-temperature-pressure relationships for solids, liquids, and gases; ideal and non-ideal gases. Introduction to kineticmolecular theory of ideal gases and the Maxwell-Boltzmann distributions. Work, heat, and application of the First Law to closed systems, including chemical reactions. Entropy and the Second and Third Laws; Gibbs Free Energy. Chemical equilibrium and the equilibrium constant; introduction to activities & fugacities. One- and two-component phase diagrams; Gibbs Phase Rule. May not also receive credit for CBEN210 or GEGN330. Prerequisites: CHGN121, CHGN122 or CHGN125, MATH111, MATH112, PHGN100. 3 hours lecture; 3 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√. INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL15.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies. Prerequisite: PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0
H&SS Mid-Level Elective I3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

MEGN361 Thermodynamics I

MEGN361***. THERMODYNAMICS I. 3.0 SEMESTER HRS. This course is a comprehensive treatment of thermodynamics from a mechanical engineering point of view. Topics include: Thermodynamic properties of substances inclusive of phase diagrams, equations of state, internal energy, enthalpy, entropy, and ideal gases; principles of conservation of mass and energy for steady-state and transient analyses; First and Second Law of thermodynamics, heat engines, and thermodynamic efficiencies; Application of fundamental principles with an emphasis on refrigeration and power cycles. May not also receive credit for CBEN210. Prerequisite: MATH213 (C- or better).

***CHGN209 or CBEN210 are also acceptable
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0

PHGN422 Nuclear Physics

PHGN422. NUCLEAR PHYSICS. 3.0 SEMESTER HRS. Introduction to subatomic (particle and nuclear) phenomena. Characterization and systematics of particle and nuclear states; symmetries; introduction and systematics of the electromagnetic, weak, and strong interactions; systematics of radioactivity; liquid drop and shell models; nuclear technology. Prerequisite: PHGN300/310. 3 hours lecture; 3 semester hours.
3.0

MEGN498C Introduction to Nuclear Engineering

MEGN498. SPECIAL TOPICS IN MECHANICAL ENGINEERING. 1-6 SEMESTER HR. (I, II) Pilot course or special topics course. Topics chosen from special interests of instructor(s) and student(s). Usually the course is offered only once. Prerequisite: none. Variable credit; 1 to 6 credit hours. Repeatable for credit under different titles.
3.0
H&SS Mid-Level Elective II3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

NUGN510 Introduction to Nuclear Reactor Physics

NUGN510. INTRODUCTION TO NUCLEAR REACTOR PHYSICS. 3.0 SEMESTER HRS. (II) Bridges the gap between courses in fundamental nuclear physics and the neutronic design and analysis of nuclear reactors. Review of neutron energetics and reactions; nuclear cross sections; neutron induced fission; neutron life cycle, multiplication, and criticality; nuclear reactor kinetics and control; the diffusion approximation for neutron transport; simple reactor geometries and compositions; modeling and simulation of reactors. Prerequisite: MEGN498C. 3 hours lecture; 3 semester hours.
3.0

NUGN520 Introduction to Nuclear Reactor Thermal Hydraulics

NUGN520. INTRODUCTION TO NUCLEAR REACTOR THERMAL-HYDRAULICS. 3.0 SEMESTER HRS. (II) Bridges the gap between fundamental courses in thermodynamics, fluid flow, and heat transer and the thermal-hydraulic design and analysis of nuclear reactors. Provides a comprehensive introduction to the thermal-hydraulics of each of the major classes of nuclear reactors. Introduces the major thermal-hydraulic computational tools, passively safe reactor design, thermal-hydraulic transient analysis, and severe nuclear reactor accident analysis. Prerequisite: MEGN498C.
3.0
H&SS 400-Level Elective I3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
GRAND TOTAL130.5
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG. YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.

PDFversion 

BS Engineering Physics / MS Physics
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125. MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√ INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written communications techniques introduced in Design I. 2 hours lecture, 3 hours lab; 3 semester hours. Prerequisite: EDNS151, EDNS155, EDNS192, or HNRS115.

■ Physics allows any flavor of Practice of Design. EDNS69 is offered only in the Fall.
√ Significant design
3.0

HASS200 Human Systems

HASS200. GLOBAL STUDIES. 3.0 Semester Hrs. Equivalent with LAIS200,SYGN200, (I, II, S) Part of the Mines core curriculum, following the first-year requirement of HASS 100 (Nature and Human Values). Modern scientists and engineers operate in an increasingly interconnected world. This course is designed to enhance student capacity to understand, appreciate, and critically analyze the global contexts in which they will live and work. Course material examines the modern world through specific thematic lenses, with an emphasis on the major patterns of cultural, political, and/or environmental change. Students will develop original analysis through comparative empirical research on diverse societies and regions, and will communicate this analysis orally and in writing. Prerequisite: HASS100. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL15.0
SOPHOMORE YEAR, SPRING SEMESTER

MATH225/235 Differential Equations

MATH225. DIFFERENTIAL EQUATIONS. 3.0 SEMESTER HRS. Equivalent with MACS225,MACS315, (I, II, S) Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase-plane and stability analysis of non-linear equations and systems. Applications from physics, mechanics, electrical engineering, and environmental sciences. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.

MATH235. DIFFERENTIAL EQUATIONS HONORS. 3.0 SEMESTER HRS. Equivalent with MACS325, (II) Same topics as those covered in MATH225 but with additional material and problems. Prerequisite: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 3 hours lecture; 3 semester hours.
3.0

MATH332/342 Linear Algebra

MATH332. LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS332, (I, II) Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.

MATH342. HONORS LINEAR ALGEBRA. 3.0 SEMESTER HRS. Equivalent with MACS342, (II) Same topics as those covered in MATH332 but with additional material and problems as well as a more rigorous presentation. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
3.0

PHGN215 Analog Circuits

PHGN215. ANALOG ELECTRONICS. 4.0 SEMESTER HRS. (II) Introduction to analog devices used in modern electronics and basic topics in electrical engineering. Introduction to methods of electronics measurements, particularly the application of oscilloscopes and computer based data acquisition. Topics covered include circuit analysis, electrical power, diodes, transistors (FET and BJT), operational amplifiers, filters, transducers, and integrated circuits. Laboratory experiments in the use of basic electronics for physical measurements. Emphasis is on practical knowledge gained in the laboratory, including prototyping, troubleshooting, and laboratory notebook style. Prerequisite: PHGN200. 3 hours lecture, 3 hours lab; 4 semester hours.
4.0

PHGN300/310 Modern Physics I

PHGN300. PHYSICS III-MODERN PHYSICS I. 3.0 SEMESTER HRS. Equivalent with PHGN310, (I) Our technical world is filled with countless examples of modern physics. This course will discuss some historic experiments that led to the key discoveries, and the basic concepts, theories, and models behind some of our present day technologies. Topics may include special relativity, quantum physics, atomic and molecular physics, solid-state physics, semiconductor theory and devices, nuclear physics, particle physics and cosmology. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

PHGN310 **. HONORS PHYSICS III-MODERN PHYSICS. 3.0 SEMESTER HRS. Equivalent with PHGN300, (II) The third course in introductory physics with in depth discussion on special relativity, wave-particle duality, the Schroedinger equation, electrons in solids, quantum tunneling, nuclear structure and transmutations. Registration is strongly recommended for declared physics majors and those considering majoring or minoring in physics. Prerequisite: PHGN200; Concurrent enrollment in MATH225. 3 hours lecture; 3 semester hours.

** The Physics Department recommends taking PHGN310.
3.0

CSCI250 Python-Based Computing

CSCI250. PYTHON-BASED COMPUTING: BUILDING A SENSOR SYSTEM. 3.0 SEMESTER HRS. (I, II, S) This course will teach students the skills needed for data collection, analysis, and visualization on a small embedded device (e.g., Raspberry Pi). Students will learn basic Linux, Python, and the programming skills needed to control the hardware and associated sensors. This hands-on course includes a baseline project, four introductory projects (e.g., acoustic, acceleration, magnetic field, optical), and a final Capstone project. The Capstone project will have students create their own application using the techniques learned during the first half of the semester; students will then present their Capstone project through a formal presentation, write-up, and demonstration. We suggest the student take "Introduction to Computer Science" before this course. Co-requisites: MATH213, PHGN200. 3 hours lecture; 3 semester hours.
3.0

PAGN20X Physical Education

PAGN20X. Variable.
0.5
TOTAL16.5
SUMMER FIELD SESSION

PHGN384 Summer Field Session

PHGN384√. FIELD SESSION TECHNIQUES IN PHYSICS. 1-6 SEMESTER HR. (S) Introduction to the design and fabrication of engineering physics apparatus. Intensive individual participation in the design of machined system components, vacuum systems, electronics, optics, and application of computer interfacing systems and computational tools. Supplementary lectures on safety, laboratory techniques and professional development. Visits to regional research facilities and industrial plants. Prerequisites: PHGN300 or PHGN310, PHGN215, CSCI250. 6 semester hours.

√ Significant design
6.0
TOTAL6.0
JUNIOR YEAR, FALL SEMESTER

PHGN311 Introduction to Mathematical Physics

PHGN311. INTRODUCTION TO MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Demonstration of the unity of diverse topics such as mechanics, quantum mechanics, optics, and electricity and magnetism via the techniques of linear algebra, complex variables, Fourier transforms, and vector calculus. Prerequisites: PHGN300 or PHGN310, MATH225, MATH332, and CSCI250. 3 hours lecture; 3 semester hours.
3.0

PHGN315 Advanced Lab I

PHGN315√. ADVANCED PHYSICS LAB I. 2.0 SEMESTER HRS. (I) (WI) Introduction to laboratory measurement techniques as applied to modern physics experiments. Experiments from optics and atomic physics. A writing-intensive course with laboratory and computer design projects based on applications of modern physics. Prerequisite: PHGN300/310, PHGN384. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN317 Digital Circuits

PHGN317√. SEMICONDUCTOR CIRCUITS- DIGITAL. 3.0 SEMESTER HRS. (I) Introduction to digital devices used in modern electronics. Topics covered include logic gates, flip-flops, timers, counters, multiplexing, analog-to-digital and digital-to-analog devices. Emphasis is on practical circuit design and assembly. Prerequisite: PHGN215 and CSCI250. 2 hours lecture; 3 hours lab; 3 semester hours.

√ Significant design
3.0

PHGN350 Intermediate Mechanics

PHGN350. INTERMEDIATE MECHANICS. 4.0 SEMESTER HRS. (I) Begins with an intermediate treatment of Newtonian mechanics and continues through an introduction to Hamilton's principle and Hamiltonian and Lagrangian dynamics. Includes systems of particles, linear and driven oscillators, motion under a central force, two-particle collisions and scattering, motion in non-inertial reference frames and dynamics of rigid bodies.Prerequisite:PHGN200. Corequisite: PHGN311. 4 hours lecture; 4 semester hours.
4.0
H&SS Elective I3.0
TOTAL15.0
JUNIOR YEAR, SPRING SEMESTER

PHGN320 Modern Physics II

PHGN320. MODERN PHYSICS II: BASICS OF QUANTUM MECHANICS. 4.0 SEMESTER HRS. (II) Introduction to the Schroedinger theory of quantum mechanics. Topics include Schroedinger's equation, quantum theory of measurement, the uncertainty principle, eigenfunctions and energy spectra, anular momentum, perturbation theory, and the treatment of identical particles. Example applications taken from atomic, molecular, solid state or nuclear systems. Prerequisites: PHGN300 or PHGN310 and PHGN311. 4 hours lecture; 4 semester hours.
4.0

PHGN326 Advanced Lab II

PHGN326√. ADVANCED PHYSICS LAB II. 2.0 SEMESTER HRS. (II) (WI) Continuation of PHGN315. A writing-intensive course which expands laboratory experiments to include nuclear and solid state physics. Prerequisite: PHGN315. 1 hour lecture, 3 hours lab; 2 semester hours.

√ Significant design
2.0

PHGN341 Thermal Physics

PHGN341. THERMAL PHYSICS. 3.0 SEMESTER HRS. (II) An introduction to statistical physics from the quantum mechanical point of view. The microcanonical and canonical ensembles. Heat, work and the laws of thermodynamics. Thermodynamic potentials; Maxwell relations; phase transformations. Elementary kinetic theory. An introduction to quantum statistics. Prerequisite: CHGN122 or CHGN125 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

PHGN361 Intermediate Electromagnetism

PHGN361. INTERMEDIATE ELECTROMAGNETISM. 3.0 SEMESTER HRS. (II) Theory and application of the following: static electric and magnetic fields in free space, dielectric materials, and magnetic materials; steady currents; scalar and vector potentials; Gauss' law and Laplace's equation applied to boundary value problems; Ampere's and Faraday's laws. Prerequisite: PHGN200 and PHGN311. 3 hours lecture; 3 semester hours.
3.0

EBGN201 Principles of Economics

EBGN201. PRINCIPLES OF ECONOMICS. 3.0 SEMESTER HRS. (I,II,S) Introduction to microeconomics and macroeconomics. This course focuses on applying the economic way of thinking and basic tools of economic analysis. Economic effects of public policies. Analysis of markets for goods, services and resources. Tools of cost-benefit analysis. Measures of overall economic activity. Determinants of economic growth. Monetary and fiscal policy. Prerequisites: None. 3 hours lecture; 3 semester hours.
3.0
TOTAL15.0
SENIOR YEAR, FALL SEMESTER

PHGN471 Senior Design Principles

PHGN471√. SENIOR DESIGN PRINCIPLES I. 0.5 SEMESTER HRS. (I) (WI) The first of a two semester sequence covering the principles of project design. Class sessions cover effective team organization, project planning, time management, literature research methods, record keeping, fundamentals of technical writing, professional ethics, project funding and intellectual property. Prerequisites: PHGN384 and PHGN326. Co-requisites: PHGN481 or PHGN491. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN481 Senior Design Practice

PHGN481△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (I) (WI) The first of a two semester program covering the full spectrum of project design, drawing on all of the student's previous course work. At the beginning of the first semester, the student selects a research project in consultation with the Senior Design Oversight Committee (SDOC) and the Project Mentor. The objectives of the project are given to the student in broad outline form. The student then designs the entire project, including any or all of the following elements as appropriate: literature search, specialized apparatus or algorithms, block-diagram electronics, computer data acquisition and/or analysis, sample materials, and measurement and/or analysis sequences. The course culminates in a formal interim written report. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN471. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5

PHGN462 Electromagnetic Waves and Optical Physics

PHGN462. ELECTROMAGNETIC WAVES AND OPTICAL PHYSICS. 3.0 SEMESTER HRS. (I) Solutions to the electromagnetic wave equation are studied, including plane waves, guided waves, refraction, interference, diffraction and polarization; applications in optics; imaging, lasers, resonators and wave guides. Prerequisite: PHGN361. 3 hours lecture; 3 semester hours.
3.0
H&SS Elective II3.0

PHGN511 Mathematical Physics

PHGN511. MATHEMATICAL PHYSICS. 3.0 SEMESTER HRS. (I) Review of complex variable and finite and infinite-dimensional linear vector spaces. Sturm-Liouville problem, integral equations, computer algebra. Prerequisite: PHGN311 or equivalent. 3 hours lecture; 3 semester hours.
3.0
Applied Physics elective/core ♦3.0
TOTAL15.0
SENIOR YEAR, SPRING SEMESTER

PHGN472 Senior Design Principles

PHGN472√. SENIOR DESIGN PRINCIPLES II. 0.5 SEMESTER HRS. (II) (WI) Continuation of PHGN471. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN482 or PHGN492. 1 hour lecture in 7 class sessions; 0.5 semester hours.

√ Significant design
0.5

PHGN482 Senior Design Practice

PHGN482△√. SENIOR DESIGN PRACTICE. 2.5 SEMESTER HRS. (II) (WI) Continuation of PHGN481. The course culminates in a formal written report and poster. Prerequisite: PHGN384 and PHGN326. Co-requisite: PHGN472. 6 hour lab; 2.5 semester hours.

△ Honors courses PHGN 491/492 may be substituted with the instructor's consent.
√ Significant design
2.5
Engineering Topics Elective3.0
H&SS Elective III3.0

PHGN520 Quantum Mechanics I

PHGN520. QUANTUM MECHANICS I. 3.0 SEMESTER HRS. (II) Schroedinger equation, uncertainty, change of representation, one-dimensonal problems, axioms for state vectors and operators, matrix mechanics, uncertainty relations, time-independent perturbation theory, time-dependent perturbations, harmonic oscillator, angular momentum; semiclassical methods, variational methods, two-level system, sudden and adiabatic changes, applications. Prerequisite: PHGN511 and PHGN320 or equivalent. 3 hours lecture; 3 semester hours.
3.0
Applied Physics elective/core ♦3.0
TOTAL15.0
GRAND TOTAL130.5
Any additional courses beyond the 130.5 credit limit may be counted toward MS degree; consult advisor.
Note: H&SS is Humanities and Social Sciences, and it include HASS & EBGN courses.
FOR DETAILS ABOUT THE GRADUATE YEAR, PLEASE REFER TO THE GRADUATE CATALOG. YOU MAY ALSO REQUEST OUR UNOFFICIAL SUMMARY SHEET.

PDF version

BS Engineering Physics / MS Quantum Engineering - Hardware
CourseHours
FRESHMAN YEAR, FALL SEMESTER

MATH111 Calculus for Scientists and Engineers I

MATH111. CALCULUS FOR SCIENTISTS AND ENGINEERS I. 4.0 SEMESTER HRS. Equivalent with MACS111, (I, II, S) First course in the calculus sequence, including elements of plane geometry. Functions, limits, continuity, derivatives and their application. Definite and indefinite integrals; Prerequisite: precalculus. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN121 Principles of Chemistry I

CHGN121. PRINCIPLES OF CHEMISTRY I. 4.0 SEMESTER HRS. (I, II) Study of matter and energy based on atomic structure, correlation of properties of elements with position in periodic chart, chemical bonding, geometry of molecules, phase changes, stoichiometry, solution chemistry, gas laws, and thermochemistry. 3 hours lecture, 3 hours lab; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.0

HASS100 Nature and Human Values

HASS100. NATURE AND HUMAN VALUES. 4.0 Semester Hrs. Equivalent with LAIS100, Nature and Human Values will focus on diverse views and critical questions concerning traditional and contemporary issues linking the quality of human life and Nature, and their interdependence. The course will examine various disciplinary and interdisciplinary approaches regarding two major questions: 1) How has Nature affected the quality of human life and the formulation of human values and ethics? (2) How have human actions, values, and ethics affected Nature? These issues will use cases and examples taken from across time and cultures. Themes will include but are not limited to population, natural resources, stewardship of the Earth, and the future of human society. This is a writing-intensive course that will provide instruction and practice in expository writing, using the disciplines and perspectives of the Humanities and Social Sciences. 4 hours lecture/seminar; 4 semester hours.
4.0

GEGN 101 Earth and Environmental Systems, CBEN110 Fundamentals of Biology I, or CSCI101 and CSCI102, Introduction to Computer Science I and II

GEGN101. EARTH AND ENVIRONMENTAL SYSTEMS. 4.0 Semester Hrs. Equivalent with SYGN101, (I, II, S) Fundamental concepts concerning the nature, composition and evolution of the lithosphere, hydrosphere, atmosphere and biosphere of the earth integrating the basic sciences of chemistry, physics, biology and mathematics. Understanding of anthropological interactions with the natural systems, and related discussions on cycling of energy and mass, global warming, natural hazards, land use, mitigation of environmental problems such as toxic waste disposal, exploitation and conservation of energy, mineral and agricultural resources, proper use of water resources, biodiversity and construction. 3 hours lecture, 3 hours lab; 4 semester hours.

or

CBEN110 ***. FUNDAMENTALS OF BIOLOGY I. 4.0 SEMESTER HRS. Equivalent with BELS311,BIOL110, (I, II) Fundamentals of Biology with Laboratory I. This course will emphasize the fundamental concepts of biology and use illustrative examples and laboratory investigations that highlight the interface of biology with engineering. The focus will be on (1) the scientific method; (2) structural, molecular, and energetic basis of cellular activities; (3) mechanisms of storage and transfer of genetic information in biological organisms; (4) a laboratory 'toolbox' that will carry them forward in their laboratory-based courses. This core course in biology will be interdisciplinary in nature and will incorporate the major themes and mission of this school - earth, energy, and the environment. Lecture Hours: 3; Lab Hours: 3; Semester Hours: 4.
*** Biomechanics Track Combined students should take CBEN110

or

CSCI101. INTRODUCTION TO COMPUTER SCIENCE. 3.0 SEMESTER HRS. (I, II) An introductory course to the building blocks of Computer Science. Topics include conventional computer hardware, data representation, the role of operating systems and networks in modern computing, algorithm design, privacy and information security, data science, artificial intelligence, and computer ethics. A popular procedural programming language will be learned by students and programming assignments will explore ideas in algorithm development, optimization, and data manipulation. 3 hours lecture; 3 semester hours.

If a student chooses to complete CSCI101 (3 credits) for the Distributed Science requirement, they must also take CSCI102 (1 credit) lab course to meet the 4 total hours required.

and

CSCI102. INTRODUCTION TO COMPUTER SCIENCE - LAB. 1.0 SEMESTER HR. (I, II) This course is a 1-credit hour optional lab course for CSCI 101 that offers an opportunity for new programmers to learn the Python programming language. Python is a powerful interpreted programming language with a simple syntax and a large set of libraries. While Python is an easy language for beginner programmers to learn, it is a language that is widely used in many scientific areas (e.g., data science). This lab course will introduce students to basic programming concepts: conditionals, loops, lists, strings, file input/output, functions, and objects. Take this course with CSCI 101 to either create a 4-credit hour distributed science elective or gain more experience with algorithmic design/programming in Python. 1 hour lecture; 1 semester hour.
4.0

CSM101 Success Seminar

CSM101. FRESHMAN SUCCESS SEMINAR. 0.5 SEMESTER HRS. FIRST-YEAR ADVISING AND MENTORING PROGRAM is a "college transition" course, taught in small groups. Emphasis is placed on fostering connectedness to CSM, developing an appreciation of the value of a Mines education, and learning the techniques and University resources that will allow freshmen to develop to their fullest potential at CSM. Course Objectives: Become an integrated member of the CSM community; explore, select and connect with an academic major; and develop as a person and a student. 9 meetings during semester; 0.5 semester hours.
0.5

PAGN101 Physical Education

PAGN101. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (I) A general overview of life fitness basics which includes exposure to educational units of Nutrition, Stress Management, Drug and Alcohol Awareness. Instruction in Fitness units provides the student an opportunity for learning and the beginning basics for a healthy life style. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL17.0
FRESHMAN YEAR, SPRING SEMESTER

MATH112 Calculus for Scientists and Engineers II

MATH112. CALCULUS FOR SCIENTISTS AND ENGINEERS II. 4.0 SEMESTER HRS. Equivalent with MACS112,MATH122, (I, II, S) Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces. Prerequisite: Grade of C- or better in MATH111. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

CHGN122 Chemistry II or CHGN125 Molecular Engineering and Materials Chemistry

CHGN122. CHGN122. PRINCIPLES OF CHEMISTRY II (SC1). 4.0 SEMESTER HRS. (I, II, S) Continuation of CHGN121 concentrating on chemical kinetics, gas laws, thermodynamics, electrochemistry and chemical equilibrium (acid- base, solubility, complexation, and redox). Laboratory experiments emphasizing quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab, 4 semester hours.

or

CHGN125. MOLECULAR ENGINEERING & MATERIALS CHEMISTRY. 4.0 SEMESTER HRS. (I,II) Studies of the interactions of matter and energy in chemical reactions and physical processes. Building on principles from CHGN121, the course systematically explores the relationships between processes, structures and properties, starting from the atomic and molecular level. It provides a framework to apply knowledge of chemical bonding and material properties to engineering design, with an emphasis on the Engineering Grand Challenges and the discovery of new process-structure-property relationships. There is a strong focus on the underlying principles of kinetics and equilibrium, and their general applicability, strongly rooted in the first and second law of thermodynamics. Examples of these principles come primarily from solid-state systems. Laboratory experiments emphasize conceptual understanding of structure-property relationships through both hands-on and computational analysis, reinforced by quantitative chemical measurements. Prerequisite: Grade of C- or better in CHGN121. 3 hours lecture; 3 hours lab; 4 semester hours.
4.0

PHGN100 Physics I Mechanics

PHGN100. PHYSICS I - MECHANICS. 4.5 SEMESTER HRS. (I,II,S) A first course in physics covering the basic principles of mechanics using vectors and calculus. The course consists of a fundamental treatment of the concepts and applications of kinematics and dynamics of particles and systems of particles, including Newton's laws, energy and momentum, rotation, oscillations, and waves. Prerequisite: MATH111. Co-requisites: MATH112 or MATH113 or MATH122. 2 hours lecture; 4 hours studio; 4.5 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-SC1.
4.5

EDNS151 Introduction to Design

EDNS151√ INTRODUCTION TO DESIGN. 3.0 Semester Hrs. Equivalent with EPIC151, (I, II, S) Introduction to Design teaches students how to solve open-ended problems in a hands-on manner using critical thinking and workplace skills. Students work in multidisciplinary teams to learn through doing, with emphasis on defining and diagnosing the problem through a holistic lens of technology, people and culture. Students follow a user-centered design methodology throughout the process, seeking to understand a problem from multiple perspectives before attempting to solve it. Students learn and apply specific skills throughout the semester, including: communication (written, oral, graphical), project management, concept visualization, critical thinking, effective teamwork, as well as building and iterating solutions. 2 hours lecture, 3 hours lab; 3 semester hours.

√ Significant design
3.0

PAGN102 Physical Education

PAGN102. PHYSICAL EDUCATION. 0.5 SEMESTER HRS. (II) Sections in physical fitness and team sports, relating to personal health and wellness activities. 2 hours lab; 0.5 semester hours. Repeatable for credit.
0.5
TOTAL16.0
SOPHOMORE YEAR, FALL SEMESTER

MATH213 Calculus for Scientists and Engineers III

MATH213. CALCULUS FOR SCIENTISTS AND ENGINEERS III. 4.0 SEMESTER HRS. (I, II, S) Multivariable calculus, including partial derivatives, multiple integrals, and vector calculus. Prerequisites: Grade of C- or better in MATH112 or MATH122 or Concurrent Enrollment in MATH113. 4 hours lecture; 4 semester hours. Approved for Colorado Guaranteed General Education transfer. Equivalency for GT-MA1.
4.0

PHGN200 Physics II Electromagnetism and Optics

PHGN200. PHYSICS II-ELECTROMAGNETISM AND OPTICS. 4.5 SEMESTER HRS. (I, II, S) Continuation of PHGN100. Introduction to the fundamental laws and concepts of electricity and magnetism, electromagnetic devices, electromagnetic behavior of materials, applications to simple circuits, electromagnetic radiation, and an introduction to optical phenomena. Prerequisite: Grade of C- or higher in PHGN100, concurrent enrollment in MATH213 or MATH214 or MATH223. 2 hours lecture; 4 hours studio; 4.5 semester hours.
4.5

EDNS251 Design II

EDNS251■√. DESIGN II. 3.0 SEMESTER HRS. Equivalent with EPIC251, (I, II, S) Design II builds on the design process introduced in Design I, which focuses on open-ended problem solving in which students integrate teamwork and communications with the use of computer software as tools to solve engineering problems. Computer applications emphasize information acquisition and processing based on knowing what new information is necessary to solve a problem and where to find the information efficiently. Teams analyze team dynamics through weekly team meetings and progress reports. The course emphasizes oral presentations and builds on written c