Title: Topology, Geometry II

Description: Foundations of differentiable manifolds: differentiable maps, vector fields and flows, and differential forms and integration on manifolds. Stokes' theorem. Froebenius theorem. Lie derivatives. Immersions and submersions. DeRham chomology, cochain complexes, degree of a map, Mayer-Vietoris Theorem.

Offered: Spring

Credits: 3

Textbook:

• Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218) (2nd edition) by John Lee

   Note: Subject to change - do not buy before confirming with the course instructor

Graduate Bulletin Course Information

Course Webpages: