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 2019
3 Qualifying Courses
MATH 5123 Fourier Transformations
MATH 5373 Abstract Linear Algebra
MATH 5403 Calculus of Variations
MATH 5423 Complex Analysis I
MATH 5673 Graph Theory
MATH 5773 Applied Regression Analysis
MATH 6333 Lie Theory
MATH 6373 Commutative Algebra
MATH 6673 Differential Geometry
Spring 2020
3 Qualifying Courses
MATH 5163 Partial Differential Equations
MATH 5263 Issues/Problems-Math Pedagogy
MATH 5433 Complex Analysis II
MATH 5693 Topics in Geometry and Combinatorics
MATH 5793 Advanced Applied Statistics
MATH 6343 Lie Theory II
MATH 6683 Differential Geometry II
MATH 6970 Literacy in Analysis Special Topics
MATH 6833 Topics 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.