Math 240: Riemannian Geometry, Fall 2003 
Instructor: Alan Weinstein
office: 825 Evans Hall
phone: (64)2-3518
Office Hours: Tuesdays from 11:15 to 12:30 and 2:15 to 3:30.

from Lee, Riemannian Manifolds, An Introduction to Curvature .

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 .)  You should sign up for the list by sending an email message to with the line subscribe math240list in the BODY of the message (not in the subject line).  You should then follow the instructions in the email messages which you will receive in reply to this subscription request.  Once you have subscribed, you may send messages to the list by addressing them to  A copy of your message will go to everyone on the list, including the instructor and the GSI.  When it is appropriate, the instructor or the GSI will reply, but we encourage students to reply to one another's messages.  Be sure to put an informative subject line on your message.  If you are replying to a previous message, be sure that the subject of the previous message is in the subject line of your message, so that your reply will appear in the appropriate place in the archive which may be found at .

The course also has its own website. It can be found at; the link on that page will take you to another site, which you may wish to bookmark in your web browser.