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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 390,
and 4 courses in the spring semester.
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Applied Mathematics/
Numerical
Analysis
- First year
Fall
- Math 224 Scientific Computing I
- Math 231 ODE
- Math 241 Real Analysis
Spring
- Math 225 Scientific Computing II
- Math 232 Intro to PDE
- Math 228 Mathematical Fluid Dynamics
- Math 233 Asymptotics and Perturbation Methods
- Math 229 Mathematical Modeling
- Math 287 Probability Theory
- Second year
Fall
- Math 216 Applied Stochastic Processes
- Math 226 Numerical PDE I
- Math 233 Asymptotics and Perturbation Methods
- Math 282 Elliptic PDE
- Math 288 Topics in Probability
Spring
- Math 227 Numerical PDE II
- Math 228 Mathematical Fluid Dynamics
- Math 229 Mathematical Modeling
- Math 281 Hyperbolic PDE
- Math 287 Probability Theory
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Analysis/Probability
- First year
Fall
- Math 215 Mathematical Finance
- Math 216 Applied Stochastic Processes
- Math 231 ODE
- Math 241 Real Analysis
Spring
- Math 219 Stochastic Calculus
- Math 232 Intro to PDE
- Math 245 Complex Analysis
- Math 287 Probability Theory
- Second year
Fall
- Math 215 Mathematical Finance
- Math 216 Applied Stochastic Processes
- Math 242 Functional Analysis
- Math 282 Elliptic PDE
- Math 288 Topics in Probability theory
Spring
- Math 219 Stochastic Calculus
- Math 249 Topics in Functional Analysis
- Math 287 Probability Theory
- Math 233 Asymptotics and Perturbation Methods
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Algebra/Geometry/Topology
- First year
Fall
- Math 231 ODE
- Math 241 Real Analysis
- Math 251 Groups, Rings and Fields
Spring
- Math 245 Complex Analysis
- Math 252 Commutative Algebra
- Math 261 Algebraic Topology I
- Math 267 Differential Geometry
- Second year
Fall
- Math 253 Representation Theory
- Math 262 Algebraic Topology II
- Math 272 Riemann Surfaces
- Math 282 Elliptic PDE
Spring
- Math 268 Topics in Differential Geometry
- Math 273 Algebraic Geometry
- Math 274 Number Theory
- Math 236 General Relativity
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Geometry/
Mathematical Physics
- First year
Fall
- Math 231 ODE
- Math 241 Real Analysis
- Math 251 Groups, Rings and Fields
Spring
- Math 245 Complex Analysis
- Math 252 Commutative Algebra
- Math 261 Algebraic Topology I
- Math 267 Differential Geometry
- Second year
Fall
- Math 253 Representation Theory
- Math 262 Algebraic Topology II
- Math 272 Riemann Surfaces
- Math 282 Elliptic PDE
- Ph 341 Quantum Field Theory
Spring
- Math 236 General Relativity
- Math 268 Topics in Differential Geometry
- Math 273 Algebraic Geometry
- Math 274 Number Theory
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