Differentiable Manifolds

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( MATH 354 or MATH 355 ) and ( MATH 321 or MATH 331 ) and MATH 443 Description: This is a course on differentiable manifolds. Topics include: Differential of a smooth map. Transversality. Implicit function theorem, submersions, and immersions. Tangent and Cotangent bundles. Vector fields, flows. Lie derivatives. Lie groups. Differential forms, Integration on manifolds, Stokes theorem. DeRham theory. Additional topics may include distributions and foliations, including the Frobenius Theorem. Graduate/Undergraduate Equivalency: MATH 551 . Recommended Prerequisite(s): MATH 444 or MATH 463 or MATH 370 or MATH 401→MATH 451→unlocks 2 courses

2 mapped courses list MATH 451 as a prerequisite. See on the map →

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