Math 545: Topology and Geometry of Manifolds

Homework Assignments


All assigned reading, exercises, and problems are from [ISM] unless otherwise noted.

Assignments with white background are from the preliminary chapters handed out in class.
 
Those with yellow background are from the version of the book available for purchase at Professional Copy, 4200 University Way NE.


Assignment Reading Reading 
Report Due
Practice 
Problems
 Required 
Problems 
Optional 
Problems
Written 
Assignment Due
1 Appendix and Chapter 1
1/8/02 
(Ch. 1 only)
   Ex. A.29, A.36, A.47, A.48, A.49, A.50, A.53, A.58, A.59, A.60(Prop.A.63(b,d,f) only)  
1/14/02 
2
 Chapter 2
1/15/02
 1-10 1-3, 1-4, 1-5, 1-6, 1-9 1-7, 1-8
1/23/02
3
 Chapter 3
1/24/02
 2-1, 2-2, 2-8, 2-9, 2-11 2-4, 2-5, 2-6, 2-7, 2-10 2-3, 2-12
1/28/02
4
 Chapter 4
1/29/02
 3-1, 3-2, 3-3 3-4, 3-6, 3-7, 3-8 3-5
2/4/02
5
 Chapter 5
2/5/02
 4-1, 4-4, 4-10, 4-11, 4-13 4-2, 4-6, 4-9, 4-14, 4-16* 4-3, 4-5, 4-8, 4-12
2/11/02
6
 Chapter 6
2/12/02
 5-1, 5-3, 5-6, 5-7, 6-2, 6-4, 6-13  5-2, 5-4, 5-5, 6-1, 6-5, 6-6 5-8, 5-9, 5-10
2/20/02
7
 Chapter 7
2/21/02
 6-3, 6-7, 7-3 6-9, 6-11, 6-12, 6-14, 7-6 6-8, 6-10, 7-2
2/25/02
8
 Chapter 8
2/26/02
 7-1, 7-6, 8-1 7-2, 7-5, 7-9, 8-2, 8-24  7-8, 7-10
3/4/02
9
 [ITM] Ch.12 and [ISM] pp.43-49
3/5/02
 8-5, 8-7, 8-10, 8-19, 8-23 8-9, 8-12, 8-14, 8-18, 8-20 8-21, 8-22
3/11/02
10
 [ISM] pp.224-237 and 249-253
3/12/02
 [ITM] 12-2, 12-6 and [ISM] 10-6, 10-21  Final exam due Friday, 3/22 at noon  
3/22/02

*For Problem 4-16: Add the following to the hint:  Prove that i* X = - X for all X in TeG.
Outside reading reports: Due Friday, March 8, by 5:00 pm.
Final exam: Will be handed out Monday, March 11, and due Friday, March 22, by noon.

Math 545