Math 545: Topology and Geometry of Manifolds

Homework Assignments


All assigned reading, exercises, and problems are from the draft second edition of Introduction to Topological Manifolds [ITM] or Introduction to Smooth Manifolds [ISM], as indicated.
 
Assignment Reading Reading 
Report Due
Written 
Problems & Exercises
Optional 
Problems
Written 
Assignment Due
1 Appendix  to [ISM] (just skim the Topology section, A-1 to A-20, and read the rest thoroughly)
1/9/07
Ex. A.38, A.39, A.46, A.56, A.58, A.59, A.61, A.64, A.67, A.68, A.69  
1/13/07
2 [ITM] Chapter 11
1/16/07
 Problem 11-3, 11-6, 11-9, 11-10, 11-11, 11-12, 11-14 11-13, 11-17
1/20/07
3 [ITM] Chapter 12
1/23/07
 Problem 12-1, 12-2, 12-4, 12-5, 12-9, 12-18, 12-19 12-7, 12-8
1/27/07
4 [ISM] Chapters 1 and 2
1/30/07
 Problem 1-3, 1-4, 1-5(c,d), 1-6, 2-1, 2-3, 2-4 2-5
2/2/07
5 [ISM] Chapters 2 (revised) and 3
2/7/07
 Problem 2-10, 2-11, 2-14, 3-1, 3-2, 3-3 2-13
2/9/07
6 [ISM] Chapters 4 and first half of 5
2/13/07
 Problem 3-6, 4-1, 4-2, 4-3, 4-4, 4-5, 4-6, 4-7, 4-11 3-7, 3-8, 4-9
2/16/07
7 [ISM] rest of Chapter 5
2/20/07
 Problem 5-2, 5-3, 5-6, 5-7, 5-8, 5-10, 5-11, 5-13, 5-14  
2/23/07
8 [ISM] Chapter 6
2/27/07
 Problem 6-4, 6-5, 6-7, 6-8, 6-11, 6-16, 6-17.  
3/2/07
9 [ISM] Chapter 7 & Supplement to Chapter 5
3/6/07
 Problem 7-8, 7-9, 7-10, 7-13, 7-14, 7-15, 5-21 7-16, 7-17
3/9/07
Math 545