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INTRODUCTION TO MANIFOLDS

MATH 621
Course Description

Integration in Euclidean spaces, change of variables, multilinear algebra, vector fields and differential forms, manifolds and tangent spaces, integration on manifolds, Stokes theorem. Classical vector analysis. Cauchy integral theorem.

Prerequisites

MATH 522 , (MATH 521 and MATH 561 ), graduate/professional standing, or declared in Mathematics VISP

Satisfies

This course does not satisfy any prerequisites.

Credits

Not Reported

Offered

Not Reported

Grade Point Average
3.82

8.48% from Historical

Completion Rate
100%

No change from Historical

A Rate
78.57%

44.05% from Historical

Class Size
14

27.27% from Historical

Cumulative Grade Distribution

Instructors (2026 Summr)

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