| Date | Title | Notes | Reading |
| 2,9,14 Sep 09 | Introduction, the Integers, and Algorithms | Notes #1 | Gallian Ch. 0 |
| 16 Sep 09 | Primes & Factorization, Group Theory: Def & Examples | Notes #2 | Gallian Ch. 0,2 |
| Problem Set 1 (due 9/23) | PS #1 | ||
| 21 Sep 09 | More Groups | Notes #3 | Gallian Ch. 1,2 |
| 23 Sep 09 | Subgroups and Cyclic Groups | Notes #4 | Gallian Ch. 3,4 |
| Problem Set 2 (due 9/30) | PS #2 | ||
| 28 Sep 09 | Cyclic Groups and Cryptographic Applications | Notes #5 | Gallian Ch. 4 |
| 30 Sep 09 | Permutation Groups | Notes #6 | Gallian Ch. 5 |
| 5-7 Oct 09 | Isomorphisms | Notes #7 | Gallian Ch. 6 |
| 7 Oct 09 | Quiz I | Until Notes #5, Gallian Ch. 4. |
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| Problem Set 3 (due 10/21) | PS #3 | ||
| 12 Oct 09 | No class: Columbus Day | ||
| 14 Oct 09 | Automorphisms & Cosets | Notes #8 | Gallian Chs. 6-7 |
| Midterm Feedback Responses | Feedback | ||
| 19 Oct 09 | Orbits & Stabilizers, External Direct Products | Notes #9 | Gallian Chs. 7-8 |
| 21 Oct 09 | Normal Subgroups and Factor Groups | Notes #10 | Gallian Ch. 9 |
| Problem Set 4 (due 10/28) | PS #4 | ||
| 26 Oct 09 | Homomorphisms | Notes #11 | Gallian Ch. 10 |
| 28 Oct 09 | Computational Group Theory | Notes #12 | Gallian Ch. 11 |
| Problem Set 5 (due 11/4) | PS #5 | ||
| 2 Nov 09 | Rings | Notes #13 | Gallian Chs. 12-13 |
| 4 Nov 09 | Ideals | Notes #14 | Gallian Ch. 14 |
| Problem Set 6 (due THU 11/12) | PS #6 | ||
| 9 Nov 09 | Homomorphisms | Notes #15 | Gallian Ch. 15 |
| 11 Nov 09 | No class: Veteran's Day | ||
| 16 Nov 09 | Polynomial Rings | Notes #16 | Gallian Chs. 16-17 |
| 18 Nov 09 | Quiz II | Until Notes #14, Ch. 14 | |
| Problem Set 7 (due Wed 12/2) | PS #7 | ||
| 23 Nov 09 | Ideals and Factors of Polynomial Rings | Notes #17 | Gallian Chs. 14,16,17 |
| 25 Nov 09 | Vector Spaces | Notes #18 | Gallian Chs. 19,21 |
| 30 Nov 09 | Extension Fields | Notes #19 | Gallian Chs. 20-21 |
| 2 Dec 09 | Finite Fields, Error-Correcting Codes | Notes #20 | Gallian Ch. 22 |
| Problem Set 8 (due Wed 12/9) | PS #8 |