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MATH 213A

Introduction to Smooth Manifolds

Description
Smooth manifolds and maps. Tangent bundle. Sard's theorem, transversality, Whitney embedding theorem. Vector fields and flows on manifolds, Lie derivative, Lie groups and Lie algebras. Frobenius theorem, differential forms, Stokes' theorem. Basic Morse theory. Additional topics chosen by the instructor. Prerequisites: MATH 113 or MATH 175 or MATH 132; or instructor consent. Notes: Alternate years.

Grading
Normal Grade Rules

Units
3