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DIFFERENTIABLE MANIFOLDS

MATH 761
Course Description

Differentiable manifolds, vector bundles, implicit function theorem, submersions and immersions, vector fields and flows, foliations and Frobenius theorem, differential forms and exterior calculus, integration and Stokes' theorem, De Rham theory, Riemannian metrics. Familiarity with basic undergraduate analysis coursesMATH 521and522orMATH 621) is strongly recommended.

Prerequisites

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

Not Reported

Offered

Not Reported

Grade Point Average
3.71

-0.77% from Historical

Completion Rate
100%

1.61% from Historical

A Rate
57.14%

-28.78% from Historical

Class Size
14

-0.4% from Historical

Cumulative Grade Distribution

Instructors (2026 Summr)

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