DIFFERENTIABLE MANIFOLDS
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
Prerequisites & course information
Short Title: DIFFERENTIABLE MANIFOLDS Department: Mathematics Grade Mode: Standard Letter Course Type: Lecture Credit Hours: 3 Restrictions: Enrollment is limited to Undergraduate, Undergraduate Professional or Visiting Undergraduate level students. Course Level: Undergraduate Upper-Level Prerequisite(s): ( MATH 354 or MATH 355 ) and ( MATH 321 or MATH 331 ) and MATH 443
Sources
- Course catalogue ↗2026–2027