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PMATH 665Smooth Manifolds

Units
0.50
Level
Graduate
Faculty
Mathematics
Subject
Pure Mathematics

PMATH 665 as listed in the Winter 2026 Graduate Calendar. The main page has the current version, when it runs, and seats.

Smooth manifolds, smooth maps, and tangent vectors; the tangent and cotangent bundles; vector fields, tensor fields, and differential forms; Stokes' theorem; integral curves, Lie derivatives, the Frobenius theorem; de Rham cohomology.

Prerequisites

None listed.

Antirequisites

  • Not completed nor concurrently enrolled in:

Leads to

Check it elsewhere for Winter 2026

Calendar versions

Graduate Calendar

Older Graduate Calendars

In 42 terms, Fall 2006 to Winter 2024