# Graduate Courses

All students planning to pursue a Ph.D. degree in the Department of Mathematics must pass Qualifying Examinations in each of three areas: Algebra, Analysis, and Topology. These exams are based on material from core sequences in these areas: MATH 5353 / 5363 (Abstract Algebra I and II); MATH 5453 / 5463 (Real Analysis I and II); and MATH 5853 / 5863 (Topology I and II). These three core sequences also form the basis of the M.A. degree offered by the Department.

## Courses running in 2022-2023 academic year

In addition to the qual courses which run every year, the following is a list of proposed courses for 2022-2023. For descriptions, see this pdf file and/or the Course Catalog.

### Fall 2022

- 3 Qualifying Courses
- MATH 5123 Fourier Transforms
- MATH 5253 Intro-Math Pedagogy Research
- MATH 5373 Abstract Linear Algebra
- MATH 5423 Complex Analysis I
- MATH 5653 Intro-Differential Geometry I
- MATH 5673 Graph Theory I
- MATH 5773 Applied Regression Analysis
- MATH 6373 Commutative Algebra I
- MATH 6393 Topics in Algebra
- MATH 6473 Functional Analysis I
- MATH 6493 Literacy in Analysis
- MATH 6813 Algebraic Topology I
- MATH 6833 Topics In Topology I

### Spring 2023

- 3 Qualifying Courses
- MATH 5093 Applied Numerical Methods
- MATH 5103 Mathematical Models
- MATH 5163 Partial Differential Equations
- MATH 5263 Issues and Problems in Mathematics Pedagogy
- MATH 5333 Elliptic Curves (Topics in Number Theory)
- MATH 5373 Abstract Linear Algebra
- MATH 5383 Applied Modern Algebra
- MATH 5443 Intro to Analysis II
- MATH 5743 Intro to Mathematical Statistics
- MATH 5763 Intro to Stochastic Processes
- MATH 6383 Algebraic Geometry
- MATH 6393 Topics in Algebra (Literacy)
- MATH 6483 Functional Analysis II
- MATH 6823 Algebraic Topology II
- MATH 6833 Topics in Topology (Literacy)

## Full list of courses that are available

Depending on student interest each semester, the department draws from the course catalog to determine which courses will be offered. For the complete list of courses, see the Catalog. Note, you will need to scroll down to the 5000- and 6000-level courses. However, there are some 4000-level courses which can count as graduate credit for Master's students.