# 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 2019-2020 academic year

In addition to the qual courses which run every year, the following is a list of proposed courses for 2019-2020. For descriptions, see the Course Catalog.

### Fall 2020

- 3 Qualifying Courses
- MATH 5123 Fourier Transformations
- MATH 5253 Intro-Math Pedagogy Research
- MATH 5333 Topics in Number Theory
- MATH 5373 Abstract Linear Algebra
- MATH 5423 Complex Analysis I
- MATH 5653 Intro to Differential Geometry 1
- MATH 5773 Applied Regression Analysis
- MATH 5803 Introduction to Representation Theory I
- MATH 6383 Algebraic Geometry
- MATH 6473 Functional Analysis I
- MATH 6493 Topics in Analysis
- MATH 6813 Algebraic Topology I
- MATH 6833 Topics in Topology

### Spring 2021

- 3 Qualifying Courses
- MATH 5093 Applied Numerical Methods
- MATH 5163 Partial Differential Equations
- MATH 5373 Abstract Linear Algebra
- MATH 5383 Applied Modern Algebra
- MATH 5743 Intro to Math Statistics
- MATH 5793 Advanced Applied Statistics
- MATH 5803 Quantum Computing
- MATH 6393 Representation Theory
- MATH 6393 Literacy in Algebra
- MATH 6483 Functional Analysis II
- MATH 6823 Algebraic Topology II
- MATH 6833 Literacy in Geometry/Topology

## 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.