MATH 561 Home

Welcome to MATH 561

This will all make sense when I am older.

We're older now, so it's time things make sense. This wiki is an attempt move at least one step in that direction, by collecting together all of the information we'll be discovering on our journey this quarter through module theory and category theory. Everything should be treated as a work-in-progress, with notes changing and updating frequently.[1] Feel free to peruse at your leisure.

Recent class summaries

Did you miss a class, or maybe just need a reminder about what we covered on a specific day? Check out our daily class summaries. Below you can find the four most recent classes. The full collection of summaries is available here.

Class Date Topics Covered
2024-11-19
  • Rational canonical form
  • Smith normal form
  • Invariant factors
2024-11-18
  • Rational canonical form
  • Minimal polynomial
  • Invariant factors
  • Characteristic polynomial
2024-11-15
  • The Fundamental Theorem for Modules over a PID
  • Invariant factors
  • Elementary divisors
  • Free rank
2024-11-14
  • Free modules over a PID

Homework assignments

Although the weekly assignments should be submitted digitally in Canvas, the assignments themselves are posted here. You can also see when the assignments were last updated, whether it were to correct mistakes, add hints, or post solutions.

Assignment Due Date Last Updated
Homework 8 November 24, 2024 12:10 PM - November 18, 2024
Homework 7 November 17, 2024 11:43 AM - November 18, 2024
Homework 6 November 11, 2024 3:26 PM - November 11, 2024
Homework 5 November 03, 2024 12:55 PM - November 20, 2024
Homework 4 October 20, 2024 12:33 PM - October 21, 2024
Homework 3 October 13, 2024 11:57 AM - October 14, 2024
Homework 2 October 06, 2024 11:12 AM - October 09, 2024
Homework 1 September 29, 2024 12:43 PM - October 07, 2024

  1. At the top of each page you should see a timestamp indicating the last time that page was updated. ↩︎