MATH 27400
Introduction to Differentiable Manifolds and Integration on Manifolds
Topics include exterior algebra; differentiable manifolds and their basic properties; differential forms; integration on manifolds; and the theorems of Stokes, DeRham, and Sard. With MATH 26200, this course forms a foundation for all advanced courses in analysis, geometry, and topology.
Topics
- exterior algebra
- differentiable manifolds and their basic properties
- differential forms
- integration on manifolds
- and the theorems of Stokes
- DeRham
- and Sard
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027