# Math 147

**Differential Topology **(undergrad level)

(MWF 11:30-12:20 @ 240-110)

Office hours: Tu, 3-5pm

TA: Daniel Kim (OH: Th, 2:30-4:30pm)

Canvas: https://canvas.stanford.edu/courses/104163

**Grades and homework:**

%40 homework, %20 in class midterm, %40 final during finals week

Midterm: Nov 15 (in class)

Final: Dec 13, 830-1130 @ 240-110

Weekly homeworks will be posted here.

No homework due Nov 15, but you are responsible from Section 2.5 in the midterm.

- Helpful for Final prep.

Exercise 6 from Section 3.5

Exercise 3 from Section 3.7

Exercises 8,10 and 11 from Section 4.9

**Plan for the course:**

- We will follow "Differential Topology", by Guillemin-Pollack, very closely

**Schedule**

Week 1: Sections 1.1 and 1.2 of GP

Week 2: 1.2 (ctd.) and 1.3

Week 3: 1.3 (ctd.) and 1.4

Week 4: 1.7, proof of Sard's theorem

Week 5: 1.5, 2.3 (no boundary)

Week 6: Overview of mod 2 intersection theory, 2.1

Week 7: 2.2, 2.3, 2.4, tangent bundle

Week 8: 3.2, midterm

Week 9: 3.3, 3.5 (we will deviate from the book's presentation here)

Week 10: Surfaces, 3.7, Gauss-Bonnet theorem

Last modified Tue, 10 Dec, 2019 at 17:30