Meeting Time

TH 11:00-12:15am

Location

Cabell 225

Office Hours

M: 3-4pm, T: 4-5pm, W: 4-5pm, Kerchof 213

Class Notes

Lecture File
Lecture 1: Set Theory PDF
Lecture 2: Category Theory & Groups PDF
Lecture 3: Subgroups, Quotients, & Homomorphisms PDF
Lecture 4: Isomorphism Theorems PDF
Lecture 5: Free Groups & Functors PDF
Lecture 6: Permutation Representations PDF
Lecture 7: Sylow Theorems PDF
Lecture 8: Products and Examples PDF
Lecture 9: Symmetric Groups I PDF
Lecture 10: Symmetric Groups II & Rings PDF
Lecture 11: Isomorphism Theorems II PDF
Lecture 12: Localization of Commutative Rings PDF
Lecture 13: Polynomial Rings and Examples PDF
Lecture 14: PIDs
Lecture 15: Modules PDF
Lecture 16: Isomorphism Theorems III PDF
Lecture 17: Torsion & Hom PDF
Lecture 18: Projectives & Frees PDF
Lecture 19: Free Modules over a PID (Part the First) PDF
Lecture 20: Free Modules over a PID (Part the Second) PDF
Lecture 21: Structure Theorem I PDF
Lecture 22: Structure Theorem II PDF
Lecture 23: Jordan Form PDF

Homework Assigments

  1. Homework #1, Due February 7th & Solutions
  2. Homework #2, Due February 28th: 30, 32, 34a,b, 35, 40a, 47, 49, 50, 52 & Solutions
  3. Homework #3, Due April 1st
  4. Homework #4, Due April 22nd: 2, 6, 47, 57-61, 63

Toolkit Stuff