The PhD distribution requirements are (a) extent passing 36 credits of 6000+ courses; (b) breadth completing sequences in two of the following four categories, two semesters in a third, and a semester in the fourth.
Algebra, Combinatorics and Number Theory
- MAS 6331-2 Algebra
- MAS 7396-7 Advanced Topics in Algebra
- MAD 6206-7 Combinatorics
- MAS 7215-6 Theory of Numbers
Analysis
- MAA 6616-7 Analysis
- MAA 6406-7 Complex Analysis
- MAA 7526-7 Functional Analysis
Applied Mathematics
- MAD 6406-7 Numerical Analysis
- MAP 6327-8 Applied Differential Equations
- MAP 6356-7 Partial Differential Equations
- MAP 6467-8 Stochastic Differential Equations and Filtering
- MAP 6472-3 Probability
- MAP 6487-8 Biomathematics Seminar
- MAT6932 Calculus of Variations/Optimal Control (Fall)+ MAP6208 Numerical Optimization (Spring)
Topology and Foundations
- MTG 6256-7 Differential Geometry
- MTG 6346-7 Topology
- MTG 6401-2 Ergodic Theory and Dynamical Systems
- MTG 7396-7 Advanced Topics in Topology
- MHF 6306-7 Logic
Additional courses may be offered which fulfill these requirements. Such courses will be approved by the Graduate Committee at the time they are offered.