You should read the indicated pages of the book in time for each lecture. I recommend that you read all the problems and do at least the ones which are listed below. The ones marked with * should be handed in for grading at the beginning of class on the indicated date. Over the course of the semester, I hope to go through almost the entire book. Note that the Appendix contains a review of prerequisite material; you should consult relevant sections as necessary through the semester.
The (take-home) final exam will be distributed in class on Thursday, December 4th (the last class) and will be due in 825 Evans Hall by 11:15 AM on Friday, December 12th.
Week 15: Week 14: Week 13: Week 12: Week 11: Week 10: Week 9: Week 8: Week 7: Week 6: Week 5: Week 4: Week 3: Week 2: Week 1: The course also has its own website. It can be found
at www.math.berkeley.edu/~alanw;
the link on that page will take you to another site, which you may wish to
bookmark in your web browser.
12/2: pp. 529-539
12/4: no reading assignment, distribution of final exams
11/25: pp. 510-529
11/27: Holiday
Problems (due December 4): Chapter 18: 1*, 2; Chaper 19: 1, 4*;
Chapter 20: 4, 7*
11/18: pp. 464-493
11/20: pp. 494-510
No homework assignment, since next Thursday is a holiday
11/11: Holiday
11/13: pp. 434-463 (you may skip the proof of the ODE theorem)
Problems (due November 20th): Chapter 17: 1, 3(b,d)*, 4, 5, 7*, 11*, 12
11/4: pp. 388-409
11/6: pp. 410-433 (we will not go through the proof of de Rham's theorem
in detail)
Problems (due November 13th): Chapter 15: 1*, 3, 6*, 7, 12, 14*, 15
10/28: pp. 334-358
10/30: pp. 359-387
Problems (due November 6th): Chapter 13: 9, 12, 13, 14; Chapter 14:
1*, 3*, 6, 21, 22*
10/21: pp. 291-313
10/23: pp. 314-334
Problems (due October 30th): Chapter 12: 2, 3, 4, 6*, 7, 17*; Chapter
13: 1*, 3, 6.
10/14: pp. 260-273
10/16: pp. 273-290
Problems (due October 23rd): Chapter 11: 1, 2, 3*, 4, 7*, 8*, 9.
10/7: pp. 228-246
10/9: pp. 246-259
Problems (due October 16th): Chapter 9: 16*, 18, 19, 22, 28*; Chapter
10: 1, 4*, 5.
9/30: pp. 187-205
10/2: pp. 206-228
Problems (due October 9th): Chapter 8: 10, 16*, 17, 19, 20, 21*, 22,
23; Chapter 9: 2*, 4, 6, 8, 10.
9/23: pp. 143-166
9/25: pp. 166-186
Problems (due October 2nd): Chapter 7: 1, 2*, 4, 5, 6, 7, 8*; Chapter
8: 1, 3, 6*.
9/16: pp. 103-123.
9/18: pp. 124-142
Problems (due September 25th): Chapter 5: 3, 4, 5, 6*, 10, 13; Chapter
6: 1, 3, 5, 6, 9*, 11*.
9/9: pp. 65-79.
9/11: pp. 80-102.
Problems (due September 18th): Chapter 3: 1, 4*, 6, 8; Chapter 4: 4,
5, 6*, 11, 13, 19*.
9/2: pp. 30-49.
9/4: pp. 49-65.
Problems (due September 11th): Chapter 2: 4*, 6*, 10, 11, 12*, 14,
17.
8/26: (first class, no reading assignment)
8/28: Chapter 1. (You may skip the material on fundamental groups if you
haven't studied them before.)
Problems (due September 4th): Chapter 1: 1, 4*, 5, 7*, 8, 9*.
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