Department of Mathematics
Duke University : Graduate School : Dept of Math : Math Graduate program
Basic Courses

Basic Graduate Courses

In the first semester, students are required to take Math 771 (Teaching College Mathematics) are suggested to take 3 others. Often students take the Math 555 (ODE) and Math 631 (Real Analysis).

After the first semester students take 3 or 4 courses based on their interests and availability of suitable courses. 10 courses must be taken in order to graduate, but that is not difficult requirement to fulfill.

Some examples of how to combine these courses.

  • Math 541 Applied Stochastic Processes (Fall)
  • Math 545 Stochastic Calculus (Spring every other year)
  • Math 553 Asymptotics and Perturbation (Fall)
  • Math 555 Ordinary Differential Equations (Fall)
  • Math 557 Introduction to PDE (Spring)
  • Math 561 Scientific Computing I (Fall)
  • Math 563 Scientific Computing II (Spring)
  • Math 565 Numerical Analysis
  • Math 575 Mathematical Fluid Dynamics (Spring)
  • Math 577 Mathematical Modeling (Spring)
  • Math 581 Mathematical Finance (Fall)
  • Math 601 Groups, Rings, and Fields (Fall)
  • Math 602 Commutative Algebra (Spring)
  • Math 603 Representation Theory (Fall)
  • Math 611 Algebraic Topology I (Spring)
  • Math 612 Algebraic Topology II (Fall)
  • Math 621 Differential Geometry (Spring)
  • Math 625 Riemann Surfaces (Fall)
  • Math 627 Algebraic Geometry (Spring)
  • Math 631 Real Analysis (Fall)
  • Math 633 Complex Analysis (Spring)
  • Math 635 Functional Analysis (Fall)
  • Math 641 Probability Theory (Spring) 1
  • Math 651 Hyperbolic PDE (Spring)
  • Math 653 Elliptic PDE (Fall)
  • Math 661 Numerical Hyperbolic PDE
  • Math 663 Numerical Elliptic and Parabolic PDE
1. Students who intend to work in probability should take Statistics 711 in the Fall followed by Math 641 in the Spring.
Duke University : Graduate School : Dept of Math : Math Graduate program