Math Classes
All physics students are required to take an introductory sequence of math courses along with either the AEP mathematical physics sequence or MATH department courses that cover similar topics. On this page, we list the introductory math sequence along with some commonly taken upper-level math courses.
For students debating between the AEP mathematical physics sequence (AEP 3200 - AEP 4200) and MATH department courses, please refer to the Mathematical Physics vs. Math Courses page.
Intro sequence
The below math sequence is required for physics majors. Usually, many physics students have high school credit for MATH 1910, and these students begin their first semester with MATH 1920. It is extremely important to start this sequence in the first semester because all of the intro physics courses have one or more of these courses as a prerequisite.
- MATH 1910 - Calculus for Engineers
- MATH 1920 - Multivariable Calculus for Engineers
- MATH 2930 - Differential Equations for Engineers
- MATH 2940 - Linear Algebra for Engineers
Upper-level courses
As math is the language of physics, many physics students find it useful and interesting to also take upper-level math courses. To paint a picture of just how ubiquitous math is in physics, we have listed various subfields of math alongside some of their many (!) applications in physics.
Math subfield | Physics applications |
---|---|
Analysis | Classical mechanics, E&M, fluid mechanics, biophysics, quantum mechanics |
Algebra | Quantum mechanics, quantum computing, condensed matter physics |
Geometry and topology | General relativity, quantum field theory |
Probability and statistics | Experimental physics, statistical mechanics, quantum mechanics |
For more guidance on selecting math courses, you can consult the math department’s Life After Calculus and Upper-Level Courses pages. These pages provide more details on what each of these subfields of math study.
Analysis
- MATH 3110 - Introduction to Analysis
- MATH 3230 - Introduction to Differential Equations
- MATH 3210 - Manifolds and Differential Forms
- MATH 3270 - Introduction to Ordinary Differential Equations
- MATH 4130 - Honors Introduction to Analysis I
- MATH 4140 - Honors Introduction to Analysis II
- MATH 4180 - Complex Analysis
- MATH 4220 - Applied Complex Analysis
- MATH 4200 - Differential Equations and Dynamical Systems
- MATH 4210 - Nonlinear Dynamics and Chaos
- MATH 4250 - Numerical Analysis and Differential Equations
- MATH 4260 - Numerical Analysis: Linear and Nonlinear Problems
- MATH 4280 - Introduction to Partial Differential Equations
Algebra
- MATH 3320 - Introduction to Number Theory
- MATH 3340 - Abstract Algebra
- MATH 3360 - Applicable Algebra
- MATH 4330 - Honors Linear Algebra
- MATH 4340 - Honors Introduction to Algebra
- MATH 4370 - Computational Algebra
Geometry and Topology
- MATH 3610 - Mathematical Modeling
- MATH 4500 - Matrix Groups
- MATH 4530 - Introduction to Topology
- MATH 4540 - Introduction to Differential Geometry
Probability and Statistics
- MATH 4710 - Basic Probability
- MATH 4720 - Statistics
- MATH 4740 - Stochastic Processes