There will be weekly homework assignments typically due on Wednesday at the beginning of class. You may study in teams, but it's a good idea to try the problems on your own first. Then discuss them and work together with classmates, friends, pets, favorite oracle, etc. In the end, I expect you to write up your own solutions to the problems.
These homework assignments will probably have a large overlap with the homework that I assigned last fall. For that reason, I have taken down the homework solutions from last year's class web page. They'll go back up in mid-December, in time to help you study for prelims. I hope to post solutions to this year's problems each week, shortly after they are due.
Most students will write out their solutions by hand (legibly, please!), but some may prefer to TeX things. Either way is fine.
Homework # 1 (due September 1):
Posted here.
TeX file here.
Solutions here.
Homework # 2 (due September 8):
Posted here.
TeX file here.
Solutions here.
Homework #3: (due September 15)
Posted here.
TeX file here.
Note the caveat on problem 2!
Also, this is slightly changed from an earlier version. The
correct version has 7 problems, not 8. If you're getting 8, clear your cache
and try again.
Solutions here.
Homework #4: (due September 22)
Posted here.
TeX file here.
Solutions here.
Homework #5 (due FRIDAY, October 1)
Posted here.
TeX file here.
This was updated on Sept 22.
Solutions here.
Homework #6: (due Friday, October 8)
Posted here.
TeX file here. Updated on October 1.
Solutions here.
Homework #7: (due WEDNESDAY, October 20)
Posted here.
TeX file here.
Updated October 18. Do NOT do problems 5
and 6, which we haven't covered yet. They will be on next week's set.
Solutions here.
Homework #8: (due October 27)
Posted here.
TeX file here.
Updated October 22. Compared to the earlier
version, there are two more problems at the top (last week's deleted problems)
and three fewer problems at the bottom. Also more explicit definitions in the
middle. Solutions here.
Homework #9: (due November 3)
Posted here.
TeX file here.
Updated October 28. Solutions here.
Homework #10: (due November 10)
Posted here. Updated November 3.
TeX file here. Solutions here.
Homework #11: (due November 17) Posted here. Updated November 10. TeX file here. Solutions here.
Homework #12: (due November 24) Posted here. Updated November 17. TeX file here. Solutions here.
Homework #13: (due FRIDAY, December 3) Posted here. Updated on Monday Nov 29. TeX file here. (Slight correction -- the cartesian products in the definition of direct limit should be direct sums (or disjoint union -- either way works). Solutions here.