PhD Distribution Requirements

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

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.