## Math 240A - Differential Geometry Fall 2008

Instructor: Brian Osserman

Lectures: MWF 11:00-11:50am, Bainer 1128

CRN: 69613

Office: MSB 3218, e-mail:

Office Hours: Tu 11:00-12:00, W 4:00-5:00

Prerequisites: Math 239, Math 201A. Math 250AB recommended.

Textbook: do Carmo, Riemannian Geometry

Syllabus: We will cover the basics of the geometry that one encounters when one has a metric or connection on a differentiable manifold. See also the department syllabus.

Grading: 75% homework, 25% takehome final exam

Homework: Homework will be assigned roughly weekly

### Welcome to Math 240A: Differential Geometry

Homework assignments will be posted here as the course progresses. The takehome final exam is now posted below.

### Problem sets

Problem sets will be posted here on Fridays, due the following Friday in class. You are encouraged to collaborate with other students, as long as you do not simply copy their answers.

• Problem set #1, due 10/8: Read Chapter 0. Then do exercises 1, 2, 4, 5, 11.
• Problem set #2, due 10/15: Exercises 1, 2 of Chapter 1, and exercises 2 (is this true for any affine connection on a differentiable manifold?), 3, 4, 8 of Chapter 2.
• Problem set #3, due 10/24: Exercise 7 of Chapter 2, and exercises 1 and 2 of Chapter 3.
• Problem set #4, due 10/31: Exercises 4, 5, 6 and 7 of Chapter 3.
• Problem set #5, due 11/7: Exercises 5 and 6 of Chapter 3, and exercises 2 and 3 of Chapter 4.
• Problem set #6, due 11/14: Exercises 4, 6, 7, 8 and 10 of Chapter 4.
• Problem set #7, due 11/21: Exercises 1, 3 and 5 of Chapter 5.
• Problem set #8, due 12/1: Exercises 1, 2, 5, and 12 of Chapter 6.

### Exam

The takehome final exam is due Tuesday, December 9 by 1:00. Obviously, you are not allowed to discuss it with any of your classmates or anyone else until after you have handed it in. You may email me with questions or concerns, but I will not give out any hints individually; if I determine that a hint is appropriate, I will email it to everyone.