Differentiable Manifolds

3 credits · Graduate School

(Also listed as MATH 4220) Manifolds in n-dimensional Euclidean space, smooth maps; inverse and implicit function theorems. Regular value theorem, immersions and submersions, Sard's theorem, and transversality. Degree of a map; winding numbers and the Fundamental Theorem of Algebra; intersection theory modulo 2. No credit for students who have earned credit for 4220. [3]