Department of Mathematics
Duke University : Graduate School : Dept of Math : Math Graduate program
Graduate Mathematics Course sequences

Typical graduate course sequences for different focus areas in mathematics


For Fall of first year 3 courses are recommended and Math 771, and 4 courses in the spring semester.


Applied Mathematics/
Numerical Analysis

  • First year
    Fall
    • Math 561 Scientific Computing I
    • Math 555 ODE
    • Math 631 Real Analysis
    Spring
    • Math 563 Scientific Computing II
    • Math 557 Intro to PDE
    • Math 575 Mathematical Fluid Dynamics
    • Math 553 Asymptotics and Perturbation Methods
    • Math 577 Mathematical Modeling
    • Math 641 Probability Theory

  • Second year
    Fall
    • Math 541 Applied Stochastic Processes
    • Math 661 Numerical PDE I
    • Math 553 Asymptotics and Perturbation Methods
    • Math 653 Elliptic PDE
    • Math 690-40 Topics in Probability
    Spring
    • Math 663 Numerical PDE II
    • Math 575 Mathematical Fluid Dynamics
    • Math 577 Mathematical Modeling
    • Math 651 Hyperbolic PDE
    • Math 641 Probability Theory

Analysis/Probability

  • First year
    Fall
    • Math 581 Mathematical Finance
    • Math 541 Applied Stochastic Processes
    • Math 555 ODE
    • Math 631 Real Analysis
    Spring
    • Math 545 Stochastic Calculus
    • Math 557 Intro to PDE
    • Math 633 Complex Analysis
    • Math 641 Probability Theory

  • Second year
    Fall
    • Math 581 Mathematical Finance
    • Math 541 Applied Stochastic Processes
    • Math 635 Functional Analysis
    • Math 653 Elliptic PDE
    • Math 690-40 Topics in Probability theory
    Spring
    • Math 545 Stochastic Calculus
    • Math 651 Hyperbolic PDE
    • Math 641 Probability Theory
    • Math 553 Asymptotics and Perturbation Methods

Algebra/Geometry/Topology

  • First year
    Fall
    • Math 555 ODE
    • Math 631 Real Analysis
    • Math 601 Groups, Rings and Fields
    Spring
    • Math 633 Complex Analysis
    • Math 602 Commutative Algebra
    • Math 611 Algebraic Topology I
    • Math 621 Differential Geometry

  • Second year
    Fall
    • Math 603 Representation Theory
    • Math 612 Algebraic Topology II
    • Math 625 Riemann Surfaces
    • Math 653 Elliptic PDE
    Spring
    • Math 690-20 Topics in Differential Geometry
    • Math 627 Algebraic Geometry
    • Math 605 Number Theory
    • Math 527 General Relativity

Geometry/
Mathematical Physics

  • First year
    Fall
    • Math 555 ODE
    • Math 631 Real Analysis
    • Math 601 Groups, Rings and Fields
    Spring
    • Math 633 Complex Analysis
    • Math 602 Commutative Algebra
    • Math 611 Algebraic Topology I
    • Math 621 Differential Geometry

  • Second year
    Fall
    • Math 603 Representation Theory
    • Math 612 Algebraic Topology II
    • Math 625 Riemann Surfaces
    • Math 653 Elliptic PDE
    • Ph 341 Quantum Field Theory
    Spring
    • Math 527 General Relativity
    • Math 690-20 Topics in Differential Geometry
    • Math 627 Algebraic Geometry
    • Math 605 Number Theory
Duke University : Graduate School : Dept of Math : Math Graduate program