Math 441 Homework (subject to change)

Assignment Due Date Reading Assigment Practice Problems Required Problems
1 9/30 Munkres, §§1-4
(except pp. 15-16);
Functions handout by John Lee
§1: #2
§2: #6 
§1: #9
§2: #1, 2, 4, 5
§3: #4
2 10/7 Munkres, §§5-7;
Metric Spaces handout by John Lee;
Munkres, §§12-13
Metric Spaces handout:
All non-required exercises;
§13: #1, 2
Metric Spaces handout:
Ex. 3.7, 3.9, 3.11, 3.14, 3.17;
§13: #3, 4
3 10/14 Munkres §15, §16(pp. 88-90 down to the end of the proof); §17(pp. 92-94) §13: #7 (except T_2);
§16: #3;
§17: #3;
§16: #1,6;
§17: #1,2.
4 10/21 Munkres, rest of §17, all of §18 §17: #6, 7, 14, 20
§18: #2, 7(b)
§17: #11, 12, 13;
§18: #4, 7(a).
5 10/28 Munkres, §19, §20 (pp. 119-123), §21 (Lemma 21.2 only), §22. §18: #10
§19: #4
§22: #5
§19: #3(finite products only)
§20: #3(a)
§21: #1
§22: #2, 3, 4
6 11/4 Munkres, §23, §24 §23: #1, 4
§24: #3, 11
§23: #3, 5*, 9
*For the converse of #5, either prove it or give a counterexample. 
§24: #1, 2, 10
7 11/18 Munkres, §26, §27 §26: #1, 2. §26: #3, 4, 5;
8 11/25 Munkres, §28  
9 12/6 Simply Connected Spaces handout by John Lee Simply Connected Spaces handout:
Ex. 10
Simply Connected Spaces handout:
Ex. 1, 2, 3, 4, 7, 8, 9