Smooth manifolds, tangent and cotangent bundles, vector bundles, inverse and implicit function theorems, Sard's theorem, the Whitney embedding theorem, vector fields and flows, transversality and intersection theory, Frobenius? theorem, differential forms, integration and Stokes theorem, de Rham cohomology, the de Rham theorem, degree of a map, Morse theory (time permitting).
Gopher Grades is maintained by Social Coding with data from Summer 2017 to Fall 2025 provided by the University in response to a public records request