# Major in Mathematics

#### Major Requirements

The listed requirements for the BA degree in mathematics are in addition to the university’s** **general requirements for departmental majors. Courses used to meet requirements must be completed with a grade of C- or better.

**Calculus:**Calculus I, II, and III. Majors are encouraged but not required to take honors variants.**Linear Algebra:**110.201 Linear Algebra OR 110.212 Honors Linear Algebra**Analysis:**110.405 Real Analysis I OR 110.415 Honors Analysis I AND one of- 110.311 Complex Analysis
- 110.406 Analysis II
- 110.407 Honors Complex Analysis
- 110.413 Introduction to Topology
- 110.416 Honors Analysis II
- 110.417 Partial Differential Equations
- 110.421 Dynamical Systems
- 110.427 Introduction to the Calculus of Variations
- 110.439 Introduction to Differential Geometry
- 110.441 Calculus on Manifolds
- 110.443 Fourier Analysis

**Algebra:**110.401 Advanced Algebra I OR 110.411 Honors Algebra I AND one of- 110.304 Introduction to Number Theory
- 110.412 Honors Algebra II
- 110.413 Introduction to Topology
- 110.422 Representation Theory
- 110.423 Lie Groups for Undergraduates
- 110.435 Introduction to Algebraic Geometry

(Note: Students may take both 110.401 and 110.411 for credit, but only one will be used for the major requirements.)

**Elective:**One more course at the 300-level or above.**Outside course requirement:**Two terms in any one of the following areas of applications of mathematics. (Note: Other appropriate, advanced, quantitative-based courses may be chosen from these or other department with the approval of the director of undergraduate studies in mathematics.)**Physics:**171.204 Classical Mechanics, 171.301 Introduction to Electromagnetic Theory, 171.302 Topics in Advanced Electromagnetic Theory, 171.303-4 Introduction to Quantum Mechanics, 171.312 Statistical Physics and Thermodynamics, 171.405 Condensed Matter Physics**Chemistry:**030.345 Chemical Applications of Group Theory, 030.453 Intermediate Quantum Chemistry, 030.302 Physical Chemistry II**Applied Mathematics & Statistics:**550.391 Dynamical Systems, 550.420 Introduction to Probability, 550.426 Introduction to Stochastic Processes, 550.430 Introduction to Statistics, 550.453 Mathematical Game Theory, 550.471 Combinatorial Analysis, 550.472 Graph Theory**Economics:**180.301 Microeconomic Theory, 180.302 Macroeconomic Theory OR 180.402 Advanced Microeconomic Theory, 180.334 Econometrics OR 180.434 Advanced Econometrics**Philosophy:**150.420 Mathematical Logic I, 150.421 Mathematical Logic II, 150.422 Axiomatic Set Theory**Computer Science:**601.271 Automata and Computational Theory, 601.464 Artificial Intelligence, 601.442 Modern Cryptography, 601.433 Introduction to Algorithms, 600.438 Computational Genomics, 601.488 Foundations of Computational Biology, 601.461 Computer Vision, 601.457 Computer Graphics, 601.475-6 Machine Learning

#### Department Honors

Department Honors are awarded to all recipients of the Bachelor of Arts degree who have also completed the following 6 courses at the combined minimum GPA of 3.6.

- 110.415-416 Honors Analysis
- 110.411-412 Honors Algebra
- 110.407 Honors Complex Analysis OR 110.607 Complex Analysis
- One more 400-level or above course

Advice:

- It is best for honors students to take the above courses in the order presented.
- Students considering graduate school in mathematics are strongly encouraged to take a course from the Topology/Geometry category.