Fall 2025 Graduate Catalog
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MAT 549 - Geometry and Topology II
Vector fields and flows, applications. Differential forms, Lie derivatives, Frobenius theorem. Integration on manifolds, Stokes’ theorem. Singular and cellular homology, calculations and applications. DeRham cohomology, ring structure. Degree of a map. Introduction to Poincare duality.
Note: This course was previously known as MAT 531 and is not to be repeated for additional credit.
3 credits
Prerequisite(s): MAT PhD students permitted to enroll without permission. MAT Masters students or any others require department consent.
Grading Letter graded (A, A-, B+, etc.)
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