Math 109c: Differential Topology, Spring 2012

This class meets MWF 10-11am in 257 Sloan.

Office hours: Thursdays 3-5pm in 374 Sloan

Course Description: This course will follow Guillemin and Pollack's book Differential Topology. We will study properties of smooth maps (including Sard's theorem and Whitney's "easy" embedding theorem), transversality and intersection theory (including the hairy ball theorem and more generally the Poincare-Hopf theorem), and differential forms (including de Rham cohomology if time permits).

Errata in G&P: [1]

Exercises

There will be a problem set due every Friday at 4pm. You must submit your own solutions, but you are welcome to discuss the problems with others.

Due date	Homework	Description
Apr. 6	HW1	Read 1.1 and 1.2 of G&P. Do problems 3, 4, 6, 18 in 1.1 and 2, 4 (use chain rule), 6, 9 in 1.2.