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. 

Problem Set 1 (due Oct 4)

Problem Set 2 (due Oct 11)

Problem Set 3 (due Oct 18)

Problem Set 4 (due Oct 25)

Problem Set 5 (due Nov 1)

Problem Set 6 (due Nov 8)

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

Problem Set 7 (due Dec 1)

- 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