The College of Engineering and Applied Science has numerous minor and certificate options for engineering students. You can find out about all of your options by visiting the College of Engineering & Applied Science Minor Programs website.

You may also be interested in minors and certificates offered outside of the College of Engineering and Applied Science such as Applied Math, Astrophysics, Economics, World Languages, and more. You can find information about all available minors at CU Boulder through our University Catalog

How to Structure Your Classes

Considering a minor or certificate but wondering how it might impact your course schedule? Most minor and certificate classes can also be used to fulfill requirements of your mechanical engineering degree. The charts below outline how to best structure your classes to overlap with your major for the most common minor, certificate, and option programs. Use the web links above each chart to view the official, current requirements for each program.

Please note: some minor programs require an application/ prerequisites/ minimum GPA. Please contact your academic advisor with questions regarding minors/certificates and their potential impact on your degree plan. 

Minors

Visit the Applied Math Minor website 

Applied Math Minor Requirements ME Equivalent

APPM 2350: Calculus 3 for Engineers
or MATH 2400 Calculus 3

Calculus 3

APPM 2360: Diff Eq w/Linear Algebra

APPM 2360

APPM 3310: Matrix Methods

Math/Science Foundations

One area of emphasis (see below)

Choose One Emphasis:

General Emphasis

Choose two of the following three courses

APPM 4600: Numerical Methods and Scientific Computing MCEN 3030
APPM 4350: Fourier Series & Boundary Value Problems General Technical Elective
APPM 4360: Complex Variable and Applications  General Technical Elective

and 

One upper-division APPM or STAT Course (3000/4000 Level) General Technical Elective

Scientific Computation Emphasis

APPM 3050: Scientific Computing Matlab
or APPM 3650: Algorithms and Data Structures in Python

General Technical Elective
APPM 4600: Numerical Methods and Scientific Computing MCEN 3030
APPM 4610: Numerical Differential Equations General Technical Elective

Probability & Statistics Emphasis

APPM 3570: Applied Probability General Technical Elective

and one of the following sequences

STAT 4000: Statistical Methods and Applications I
& STAT 4010: Statistical Methods and Applications II

General Technical Elective
General Technical Elective

APPM 4560: Markov Processes, Queues, and Monte Carlo Simulations
& STAT 4520: Intro to Mathematical Statistics

General Technical Elective
General Technical Elective

Visit the Astrophysics Minor website 

Astrophysics Minor Requirements ME Equivalent

Lower-division ASTR course

Recommended: 

ASTR 2000: Ancient Astronomies

 

 

LD HSS Elective

Advanced ASTR course

Free Elective

One upper level course sequence

(see below)

One of the following sequences:

Planetary Sequence 

ASTR 3720: Planets and Their Atmospheres  Math/Science Foundations
ASTR 3750: Planets, Moons, & Rings General Technical Elective

Astrophysics Sequence

ASTR 3730: Stellar & Interstellar General Technical Elective
ASTR 3830: Galactic & Extragalactic General Technical Elective

Visit the Biomedical Minor website

Biomedical Minor Requirements ME Equivalent

BMEN 2000: Biomed Gateway

Not Applicable to BS*

Biomed Elective

Math/Science Foundations

Biomed Elective

General Technical Elective

Biomed Elective

General Technical Elective

Biomed Elective

ME Technical Elective

Biomed Elective

ME Technical Elective

*The Biomed Minor requires that three credits of coursework for the minor not be applied to any BS degree requirements.

Visit the Business Minor website

Business Minor Requirements ME Equivalent

BUSM 2010 & 2011: Marketing & Management

Free Elective

BUSM 2020 & 2021: Finance & Accounting

Free Elective

Track Elective

General Technical Elective

BUSM 4010: Business Plan Development

General Technical Elective

Visit the Computer Science Minor website

Computer Science Minor Requirements

ME Equivalent

CSCI 1300/ ECEN 1310/ ASEN 1320: Computer Science 1

CSCI 1300

CSCI 2270: Data Structures

Free Elective

CSCI 2824: Discrete Structures
(Optional but recommended) 

Free Elective

CSCI 2400: Computer Systems
or CSCI/ECEN 4593

Free Elective
or General Technical Elective

Core option: CSCI 3104 or CSCI 3155 or CSCI 3753) 

General Technical Elective

Computer Science Elective (MCEN 3030 or CSCI 3656)

MCEN 3030

Computer Science Elective

General Technical Elective or ME Technical Elective*

Please note that while CSCI 2824 (Discrete Structures) or ECEN 2703 (Discrete Math for Computer Engineers) are no longer required courses for the CSCI minor as of Fall 2019, both CSCI 3104 (Algorithms) and CSCI 3155 (Principles of Programming Languages) require a discrete mathematics course as a prerequisite. Students who want to take either of these courses as their Core option will need to plan to take an approved discrete mathematics prerequisite course in addition to the course requirements for the minor. 

At least one of the two ME Technical Electives must be completed as an MCEN class in the Mechanical Engineering curriculum, and undergraduate students may choose to apply one of the following CSCI courses toward an ME Technical Elective: CSCI 3302: Intro to Robotics and CSCI 3308: Software Development Methods and Tools. 

Visit the Creative Technology and Design Minor website

CDT Minor Requirements ME Equivalent

ATLS 2000: Meaning of Information Technology

LD H&SS Elective

ATLS 2100: Image

Free Elective

ATLS 2200: Web

Free Elective

ATLS 2300: Text

Free Elective

ATLS 3000: Code

General Technical Elective

Upper-Division Critical Perspectives Elective

General Technical Elective (ATLS or CSCI) or Free Elective

MCEN 4026: Manufacturing 
(Upper-Division Focus Elective)

MCEN 4026

Visit the Electrical Engineering Minor website

Electrical Engineering Minor Requirements ME Equivalent

MCEN 3017 (Substitution for ECEN2250)

MCEN 3017

ECEN 2260*: Circuits as Systems 

Free Elective

ECEN 2270*: Electronics Design Lab 

Free Elective

Electrical Engineering Elective

General Technical Elective

Electrical Engineering Elective

General Technical Elective

Electrical Engineering Elective

Free Elective

* ECEN 2260 and ECEN 2270 combined will satisfy ME's Math/Science Foundation requirement. 

Visit the Energy Engineering Minor Website 

Energy Engineering Minor Requirements ME Equivalent

Fundamentals-based course:
MCEN 3032 Thermodynamics 2

MCEN 3032

Energy policy/environment-based course:
ENVS 3621 Energy Policy and Society, or
ENVS/PHYS 3070 Energy and the Environment, or
MCEN 4032 Sustainable Energy

Humanities/Social Science, or
General Technical Elective, or
ME Technical Elective
 

Energy Elective 

ME Technical Elective*, or
General Technical Elective, or
Math/Science Foundations

Energy Elective

ME Technical Elective*, or
General Technical Elective, or
Math/Science Foundations

Energy Elective - MCEN 3022 Heat Transfer

MCEN 3022

Energy Elective - MCEN 3017 Circuits and Electronics

MCEN 3017

*Student must choose an elective that is also approved as an ME Tech Elective. 

 

Visit the Engineering Management Minor website

Engineering Management Minor Requirements ME Equivalent

EMEN 4030: Project Management

General Technical Elective

EMEN 4100: Engineering Economics

General Technical Elective

MCEN 3047: Data/Measurements

MCEN 3047

EMEN Elective

Free Elective

EMEN Elective

Free Elective

Vist the Engineering Entrepreneurship Minor website

Engineering Entrepeneurship Minor Requirements ME Equivalent

EMEN 4820: Entrepreneurial Product Development

General Technical Elective

EMEN 4800: Technology Ventures and Marketing

General Technical Elective

Engineering Entrepreneurship Elective

MCEN 4045 (if ESI section)*, or 
ME Technical Elective (MCEN 4238)** 

Engineering Entrepreneurship Elective

UD HSS***/ Free Elective

Engineering Entrepreneurship Elective

Free Elective

* A student may count 3 credit hours from an Entrepreneurship Capstone offered within their major as an elective.

** MCEN 4228: Special Topics in Mechanical Engineering (Design for Community) and MCEN 5830: Designing for Defense are approved elective substitution. 

*** EMEN 4055: Designing for Diversity, Equity & Inclusion in Engineering counts towards H&SS credit

Visit the Global Engineering Minor website

Global Engineering Minor Requirements ME Equivalent

HUEN 2843: Global State of Mind

LD HSS Elective

Language Course

LD HSS Elective

Global Perspectives Course

HSS or Free Elective*

Global Perspectives Course

HSS or Free Elective*

Regional/Local Perspectives Course

HSS or Free Elective*

Technical Elective

General Technical Elective (CVEN, EMEN, GEOL) or Free Elective

Global Experience

 

*There are a lot of options for each elective, that could count for a variety of requirements. Please check with your Advisor for details.

Visit the Leadership Minor website

Leadership Minor Requirements ME Equivalent

LEAD 1000: Become a Leader

Free elective

Leadership Minor Elective

HSS or Free Elective*

Leadership Minor Elective

HSS or Free Elective*

Leadership Minor Elective

HSS or Free Elective*

LEAD 4000: Capstone

Free Elective

*There are a lot of options for each elective, that could count for a variety of requirements. Please check with your Advisor for details.

Visit the Music Minor website

Music Minor Requirements ME Equivalent

MUEL 1081: Basic Music Theory*

Free Elective

EMUS 1XX7: Music Ensembles**

Free Elective or LD HSS (Concert Band/ Symphonic Band)

Creating Music Electives

Free Elective

Creating Music Electives

Free Elective

Thinking Music Electives 

HSS or Free Elective***

Thinking Music Electives 

HSS or Free Elective***

Creative/Thinking Music Electives

HSS or Free Elective***

* Students with appropriate background and instructor approval may substitute MUSC 1101 and MUSC 1121 for MUEL 1081.  

** Ensembles requiring no audition include Golden Buffalo Marching Band (auditions for drumline and color guard only), Concert Band, Festival Chorus, Japanese Ensemble, Latin American Ensemble, African Ensemble, Gamelan Ensemble, and World Vocal Ensemble. Ensembles requiring an audition include Wind Symphony, Symphonic Band, University Singers, University Choir, Women’s Chorus, Jazz ensembles (Big Bands 1-3 and combos 1-7), Symphony Orchestra, and Campus Orchestra.   

***There are a lot of options for each elective, that could count for a variety of requirements. Please check with your Advisor for details.

Visit the Physics Minor website

Physics Minor Requirements ME Equivalent

PHYS 1110: Physics 1

PHYS 1110

PHYS 1120: Physics 2

PHYS 1120

PHYS 1140: Experimental Physics 1

PHYS 1140

PHYS 2150: Experimental Physics 2

Free Elective

PHYS 2210: Classical Mechanics

Free Elective

PHYS 2130 or PHYS 2170

Math/Science Foundations

Physics Elective

General Technical Elective

Physics Elective

General Technical Elective

Physics Elective

Free Elective

Visit the Space Minor website

Space Minor Requirements ME Equivalent

ASEN 1969: Pathway to Space

Free Elective

Space Elective

Gen Tech, HSS, or Free Elective*

Space Elective

Gen Tech, HSS, or Free Elective*

Space Elective

Gen Tech, HSS, or Free Elective*

Space Elective

Gen Tech, HSS, or Free Elective*

*There are a lot of options for each elective, that could count for a variety of requirements. Please check with your Advisor for details.

 

Certificates

Visit the Engineering, Ethics, & Society Certificate website

Engineering, Ethics, & Society Certificate Requirements ME Equivalent

Great Books Seminar course

HSS Elective

STEM & H&SS Intersection course

HSS Elective

Additional Herbst or EHON (Engineering Honors) course

HSS Elective or Free Elective

Course in Humanities or Social Science from the College of Arts & Sciences linked to EES (Engineering, Ethics & Society) themes*

HSS Elective or Free Elective

*Students must confer with the EES Certificate Director to determine the suitability of a particular course.  

Visit the Social Innovation Certificate website

Social Innovation Certificate Requirements ME Equivalent

SOCY 4160: Designing Social Innovations

UD HSS Elective

SOCY 4161: Executing Social Innovations*

UD HSS Elective

Social Innovation Elective 

HSS or General Technical Elective** 

Social Innovation Elective 

HSS or General Technical Elective**

Social Innovation Elective  ESI Section of MCEN 4045
Social Innovation Elective  ESI Section of MCEN 4085

*With the Director’s permission, SOCY 4932 (Internship in Social Innovation) can be substituted for SOCY 4161

**Must be on approved list to count for designated requirement. This varies depending on the course you select.