| Date | Title | Notes | Reading |
| 1 Sep 10 | Course Overview, Induction | Notes #1 | Gallian Ch. 0 |
| Problem Set 0 (due 9/10) | PS #0 | ||
| 8 Sep 10 | The Integers | Notes #2 | Gallian Ch. 0 |
| Problem Set 1 (due 9/17) | PS #1 | ||
| 13 Sep 10 | Relations, Algorithms | Notes #3 | |
| 15 Sep 10 | More on Algorithms | Notes #4 | |
| 20 Sep 10 | Intro to Groups | Notes #5 | Gallian Ch. 2 |
| Problem Set 2 (due 9/24) | PS #2 | ||
| 22 Sep 10 | S_n, D_n, Subgroups | Notes #6 | Gallian Ch. 1,3 |
| 27 Sep 10 | Cyclic Groups & Cryptography | Notes #7 | Gallian Ch. 4 |
| Problem Set 3 (due 10/1) | PS #3 | ||
| 29 Sep 10 | Permutation Groups | Notes #8 | Gallian Ch. 5 |
| 4 Oct 10 | Isomorphisms | Notes #9 | Gallian Ch. 6 |
| 6 Oct 10 | Quiz I | up to 9/27, PS3, Ch. 4 | |
| Midterm Feedback | Feedback | ||
| Problem Set 4 (due 10/15) | PS #4 | ||
| 11 Oct 10 | Columbus Day - no class | ||
| 13 Oct 10 | Cosets | Notes #10 | Gallian Ch. 7 |
| 18 Oct 10 | Direct Products | Notes #11 | Gallian Chs. 8, 11 |
| Problem Set 5 (due 10/22) | PS #5 | ||
| 20-25 Oct 10 | Normal Subgroups, Factor Groups, and Homomorphisms | Notes #12 | Gallian Ch. 9, 10 |
| 25 Oct 10 | Intro to Rings | Notes #13 | Gallian Ch. 12, 13 |
| Problem Set 6 (due 10/29) | PS #6 | ||
27 Oct 10 |
Symmetry Groups & Crystallography | Notes #14 +Handouts |
Gallian Chs.27-28 |
| 1 Nov 10 | More on Rings | Notes #15 | Gallian Chs. 12, 13 |
| Problem Set 7 (due 11/5) | PS #7+ Si(111) |
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| 2 Nov 10 | AM206 Essay I due | ||
| 3-8 Nov 10 | Ideals, Factor Rings, and Ring Homomorphisms | Notes #16 | Gallian Ch. 14-15 |
| 8 Nov 10 | Polynomial Rings | Notes #17 | Gallian Chs. 16 |
| 10-15 Nov 10 | Factorization and Ideals in Polynomial Rings | Notes #18 | Gallian Chs. 16-17 |
| 15 Nov 10 | Quiz II | up to 11/1, PS7, Ch. 13 | |
| Problem Set 8 (due 11/19) | PS #8 | ||
| 17 Nov 10 | Extension Fields | Notes #19 | Gallian Ch. 20-21 |
| 22 Nov 10 | Vector Spaces & Algebraic Extensions | Notes #20 | Gallian Ch. 19, 21 |
| 24 Nov 10 | Class cancelled | ||
| Problem Set 9 (due 12/3) | PS #9 | ||
| 30 Nov 10 | Finite Fields | Notes #21 | Gallian Ch. 22 |
| 1 Nov 10 | Error-Correcting Codes | Notes #22 | |
| Problem Set 10 (due 12/10) | PS #10 | ||
| 7 Dec 10 | AM 206 Essay II due | ||
| 9 Dec 10 | AM 206 Presentations | ||
| 17 Dec 10 | Final Exam |