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
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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
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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
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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
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