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Comprehensive Exams Course Directory
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Comprehensive Exams Course Directory
Group I
MATH 521 General Topology
MATH 531 Real Analysis
MATH 533 Complex Analysis
MATH 550 Linear Algebra
MATH 551 Abstract Algebra
Group II
MATH 525: Graph Theory
or
MATH 645: Combinatorics
MATH 565: Advanced ODE I
or
MATH 568: Advanced PDE I
MATH 571: Numerical analysis of ODE
or
MATH 572 :Numerical Analysis of PDE
MATH 580:Convex Analysis
or
MATH 581 Advanced Linear Programming
MATH 527: Differential Geometry
or
MATH 556:Algebraic Geometry
MATH 563: Probability Theory
or
MATH 601: Stochastic differential equations and Applications
MATH 535 Functional Analysis