Assignments

Here are the problem sets for the course so far. I will post each problem set at least a week before it is due. When I post more than a week in advance, I may make edits based on how class or office hours go; starting a week in advance, I will only correct errors or, conceivably, remove material.

See policies regarding collaboration and related issues for relevant policies.

All assignments are now posted in the Assignments Area of Canvas as well. (This is necessary to make Gradescope and the Canvas Gradebook work well together.) I'll keep both pages updated for the next few weeks; maybe at some point I'll switch to just using the Assignments Area.

• Problem Set 1 Download Problem Set 1 (LaTeX Download LaTeX), due Wednesday, September 4th.
• Problem Set 2 Download Problem Set 2 (LaTeX Download LaTeX), due Wednesday, September 11th. In case anyone looked at this prior to the afternoon of Sept 3, I have swapped out the previous problem 6 for a more straightforward one. The previous problem 6 will return on a future problem set, so if any of you worked on it, your work will not be wasted.
• Problem Set 3 Download Problem Set 3 (LaTeX Download LaTeX), due Wednesday, September 25. Due to many great discussions, we are further behind in class than I expected to be, so I am extending this to Wed. Sept 25.
  • Problem 2 is edited based on a conversation with a student about which tools we have. If you have solved the old version, you can still turn that in (it is true!), but there is a weaker new version offered as well.
• Problem Set 4 Download Problem Set 4 (LaTeX Download LaTeX), due Wednesday, October 2nd. Note: The last problem is edited to make clear that f(x) is assumed irreducible over Q. Once we have proved Gauss's lemma Links to an external site., we'll know that it doesn't matter whether we say "over Q" or "over Z", but a student pointed out to me that we don't know this yet, so the problem was ambiguous.
• Problem Set 5 Download Problem Set 5 (LaTeX Download LaTeX), due Wednesday, October 9th. The last problem gives an example to show that the Krull-Schmidt theorem needs the hypothesis of finite length. Minor errors corrected in the last problem.
• There is no assignment due Wednesday, October 16. Enjoy your Fall Break!
• Problem Set 6 Download Problem Set 6 (LaTeX Download LaTeX) due Friday, October 25.
• Problem Set 7 Download Problem Set 7 (LaTeX Download LaTeX) due Friday, November 1. Note: One of the class problems has been removed, because we are behind where I thought we would be.
• Problem Set 8 Download Problem Set 8 (LaTeX Download LaTeX) due Friday, November 8. Minor edits in problems 3 and 5 (to say what p means, in each case).
• Problem Set 9 Download Problem Set 9 (LaTeX Download LaTeX) due Tuesday, November 19 (extended). The early problems are basic applications of the classification of modules over a PID and of Jordan form; the late problems build on Friday's lecture.
• Problem Set 10 Download Problem Set 10 (LaTeX Download LaTeX) due Monday, November 25, because I didn't get it posted on time.
• Problem Set 11 Download Problem Set 11 (LaTeX Download LaTeX) due Monday, December 9. Last problem set! Enjoy!