Padelford C-554

Dept. of Mathematics, Box 354350

University of Washington

Seattle WA 98195

devinatz@math.washington.edu

(206)685-4777 - office phone number

General Information

HW1: Read Chapter 2 in the text and do problems 2-1, 2-3, 2-10, 2-12, 2-13, 2-15. This assignment is due Friday, October 5.

HW2: Read Chapter 3 in the text and do problems 3-1, 3-6, 3-14, 3-16, 3-22, 3-23 (prove what you need from 3-5). This assignment is due Monday, October 15.

HW3: Read Chapter 4 in the text and do problems 4-1, 4-13, 4-23, 4-24, 4-26, 4-27. This assignment is due Monday, October 22.

HW4: See handout. This assignment is due Monday, October 29.

HW5: Read Chapter 7 in the text and do problems 7-1, 7-2, 7-5, 7-13, 7-14, 7-15. (In 7-14 and 7-15, it's ok to use pictures to indicate some of the spaces and homotopies involved as long as they are clear. You should be aware that Problem 5-4 is incorrect as stated, but you may use obvious special cases without proof.) This assignment is due Friday, November 9.

HW6: Read Chapter 8 and Chapter 11 up to page 283. You will also need to be familiar with Chapter 9 for HW7, so you might want to review it now. Do problems 8-1, 8-2, 8-5, 8-6, and 8-7. (You may use problem 8-4 without proof but you should know how to prove it.) This assignment is due Wednesday, November 21.

HW7: Read Chapter 10 --- you may skip the section on graphs --- and Chapter 9 as needed. Do problems 10-2, 10-6, 10-9, and 10-15. This assignment is due Wednesday, November 28.

HW8: Read Chapter 11 and Chapter 12 up to page 311. Do problems 11-4 (clear pictures are ok), 11-11, 11-12, 11-14, and 11-21 (prove what you need from 11-20.) This assignment is due Wednesday, December 5.

General Information

HW1: Read Chapter 12 (of Introduction to Topological Manifolds) up to page 322 and do problems 12-1, 12-2, 12-6, 12-14, and 12-15. (In problem 12-2, you need not show that q is a covering map.) This assignment is due Monday, January 14.

HW2: See this page. This assignment is due Wednesday, January 23.

HW3: Read Chapter 3 (of Introduction to Smooth Manifolds) and do problems 3-1, 3-2, and 3-4. This assignment is due Wednesday, February 6.

HW4: Read Chapter 4 and do problems 4-5a, 4-6, 4-8, and 4-12. This assignment is due Friday, February 15.

HW5: Read Chapter 5 and pages 143-5 of Chapter 6. Do problems 5-1, 5-4, 5-17, and 6-15. This assignment is due Monday, February 25.

HW6: Read Chapter 7 and do problems 7-2, 7-3, 7-4, 7-13. This assignment is due Monday, March 4.

HW7: Read Chapter 8 and do problems 8-10, 8-16ac, 8-18, 8-25, and 8-30. In addition, read problems 8-26 -- 8-29 but do not turn them in. This assignment is due Wednesday, March 13.

General Information

HW1: Read Chapter 9 --- you may skip the section on first-order partial differential equations --- and Appendix D. Do problems 9-1, 9-3 ad, 9-5, and 9-6. This assignment is due Wednesday, April 10.

HW2: Read Chapter 10, Chapter 11 to p.287, and Chapter 12 to p.316. Read Problem 11-4 (use germs instead of C^{infty}(M)). Do Problems 11-6, 11-7ab, 11-11, and 12-3. This assignment is due Wednesday, April 17.

HW3: See here . This assignment is due Friday, April 26.

HW4: Read Chapter 14. Do problems 14-5 and 14-6acd. This assignment is due Friday, May 3.

HW5: Read Chapter 15. Do problems 15-3, 15-4, 15-12, 15-13, and 15-15. (You may use Theorem 15.42.) This assignment is due Monday, May 13.

HW6: See here. (In this course, unless otherwise stated, "Supplementary Exercises" are mandatory.) This assignment is due Wednesday, May 22.

HW7: Read Chapter 19. Do problems 19-3, 19-5, 19-6, and 19-12. This assignment is due Friday, May 31.

HW8: See here. This assignment is due Friday, June 7.

Take home Final

General Information

Homework 1

Solutions to Homework 1

Homework 2

Solutions to Homework 2

Homework 3

Solutions to Homework 3

Solutions to Midterm

HW4: Read Section 2.3 in do Carmo and do exercises 2 and 14 from that section. This assignment is due Monday, February 25.

Solutions to Homework 4

Homework 5

Solutions to Homework 5

Homework 6

Solutions to Homework 6

UW Math Department Homepage.