Instructor: Alan Weinstein

office: 825 Evans Hall

phone: (64)2-3518

email: alanw@math.berkeley.edu

website: www.math.berkeley.edu/~alanw

Office Hours: Tuesdays from 11:15 to 12:30 and 2:15 to 3:30.

READING AND HOMEWORK ASSIGNMENTS

from Lee,

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.

**Weeks 11-15**:

Lectures on principal bundles and connections

There is no reading assignment or problems: work on your term
paper--the first draft is due on 11/13 (not 11/11, which is a holiday).

**Week 10**:

10/28: pp. 193-199

10/30: pp. 199-208

Homework (due November 6th): Chapter 11: problems
1*, 2*, 3*.

**Week 9**:

10/21: pp. 173-181 (**Paper topic must be approved by
today.)**

10/23: pp. 182-191

Homework (due October 30th): Chapter 10:
problems 1*, 2*, 3*.

**Week 8**:

10/14: *Meet in room 450C Moffitt Library for presentation
by Ann Jensen,*

** math
librarian **Click here for
more information.

10/16: Catch up (no reading assignment)

Homework (due October 23rd): No homework assignment
this week.

**Week 7**:

10/7: pp. 155-156

10/9: pp. 167-172

Homework (due October 16th): Chapter 9: problems
1, 2*, 3, 4*, 5, 6*.

**Week 6**:

9/30: pp. 131-138

10/2: pp. 139-153 (**Initial term paper proposal due
today. Please try to cite at least one reference in your proposal.)**

Homework (due October 9th): Chapter 8: problems
1, 2, 3*, 4, 5*, 6, 10, 11, 12(b,c,d)*.

**Week 5**:

9/23: pp. 102-113

9/30: pp. 115-129

Homework (due October 2nd): Chapter 6: problems
5*, 7*, 11; Chapter 7: problems 1, 2, 4, 5*.

**Week 4**:

The term paper assigment
can be found via this link or on the course web page.

9/16: pp. 81-90

9/11: pp. 91-101

Homework (due September 25th): Chapter 5: problem
3*; Chapter 6: problems 2, 9*, 10*.

**Week 3**:

9/9: pp. 58-71

9/11: pp. 72-80

Homework (due September 18th): Chapter 4: problem
5; Chapter 5: problems 1, 2, 4, 5*, 7*, 10, 11*.

**Week 2**:

9/2: finish chapter 3

9/4: pp. 47-58 of Chapter 4

Homework (due September 11th): Chapter 3: problems
4, 5*, 7, 8, 9; Chapter 4: problems 1*, 2, 3*.

**Week 1**:

8/26: (first class, no reading assignment)

8/28: Chapters 1 and 2 and pages 23-30 of Chapter 3.

Homework (due September 4th): Chapter 3: exercises
1, 4*, 6, problems 1,*, 10, 11*, 12.

An electronic mailing list has been established for this course. You should use it for any questions and comments about the course which might be of interest to other students, not just yourself. (Messages about personal issues should be sent to alanw@math.berkeley.edu .) You should sign up for the list by sending an email message to majordomo@listlink.berkeley.edu with the line

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.