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 2024-2025

The following is a list of proposed courses for 2024-2025. For descriptions of the courses, see links to pdfs below and/or the Course Catalog.

Spring 2025

Spring 2025 Course descriptions (PDF)

  • MATH 5103 Mathematical Models
  • MATH 5163 Partial Differential Equations
  • MATH 5263 Issues and Problems in Math Pedagogy
  • MATH 5333 Topics in Number Theory
  • MATH 5363 Abstract Algebra II
  • MATH 5373 Abstract Linear Algebra
  • MATH 5383 Applied Modern Algebra
  • MATH 5443 Introduction to Analysis II
  • MATH 5463 Real Analysis II
  • MATH 5693 Topics in Geometry/Combinatorics
  • MATH 5743 Intro to Math Statistics
  • MATH 5793 Advanced Applied Statistics
  • MATH 5803 Mathematics of Data
  • MATH 5863 Topology II
  • MATH 5920 Algebra/Rep. Theory Seminar
  • MATH 5930 Geometry/Topology Seminar
  • MATH 6383 Algebraic Geometry
  • MATH 6483 Functional Analysis II
  • MATH 6493 Topics in Analysis
  • MATH 6803 Literacy in Topology
  • MATH 6823 Algebraic Topology II
  • MATH 6910 Analysis Seminar

Fall 2025

Fall 2025 Course descriptions (PDF)

  • MATH 5123 Fourier Transforms
  • MATH 5173 Advanced Numerical Analysis I
  • MATH 5353 Abstract Algebra I
  • MATH 5373 Abstract Linear Algebra
  • MATH 5403 Calculus of Variations
  • MATH 5423 Complex Analysis I
  • MATH 5453 Real Analysis I
  • MATH 5653 Intro-Differential Geometry I
  • MATH 5693 Topics in Geometry and Combinatorics I
  • MATH 5673 Graph Theory I
  • MATH 5853 Topology I
  • MATH 5920 Seminar on Algebra and Number Theory
  • MATH 6333 Lie Theory I
  • MATH 6393 Topics in Algebra
  • MATH 6673 Differential Geometry I
  • MATH 6833 Topics in Topology
  • MATH 6910 Analysis Seminar

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.