Applied Math 106/206: Applied Algebra
Lecture Notes, Handouts and Assignments
| Date | Title | Notes | Reading |
|---|---|---|---|
1 Sep 10 | Course Overview, Induction | Gallian Ch. 0 | |
Problem Set 0 (due 9/10) | |||
8 Sep 10 | The Integers | Gallian Ch. 0 | |
Problem Set 1 (due 9/17) | |||
13 Sep 10 | Relations, Algorithms | ||
15 Sep 10 | More on Algorithms | ||
20 Sep 10 | Intro to Groups | Gallian Ch. 2 | |
Problem Set 2 (due 9/24) | |||
22 Sep 10 | S_n, D_n, Subgroups | Gallian Ch. 1,3 | |
27 Sep 10 | Cyclic Groups & Cryptography | Gallian Ch. 4 | |
Problem Set 3 (due 10/1) | |||
29 Sep 10 | Permutation Groups | Gallian Ch. 5 | |
4 Oct 10 | Isomorphisms | Gallian Ch. 6 | |
6 Oct 10 | Quiz I | up to 9/27, PS3, Ch. 4 | |
Midterm Feedback | |||
Problem Set 4 (due 10/15) | |||
11 Oct 10 | Columbus Day - no class | ||
13 Oct 10 | Cosets | Gallian Ch. 7 | |
18 Oct 10 | Direct Products | Gallian Chs. 8, 11 | |
Problem Set 5 (due 10/22) | |||
20-25 Oct 10 | Normal Subgroups, Factor Groups, and Homomorphisms | Gallian Ch. 9, 10 | |
25 Oct 10 | Intro to Rings | Gallian Ch. 12, 13 | |
Problem Set 6 (due 10/29) | |||
27 Oct 10 - 1 Nov 10 | Symmetry Groups & Crystallography | Gallian Chs.27-28 | |
1 Nov 10 | More on Rings | Gallian Chs. 12, 13 | |
Problem Set 7 (due 11/5) | |||
2 Nov 10 | AM206 Essay I due | ||
3-8 Nov 10 | Ideals, Factor Rings, and Ring Homomorphisms | Gallian Ch. 14-15 | |
8 Nov 10 | Polynomial Rings | Gallian Chs. 16 | |
10-15 Nov 10 | Factorization and Ideals in Polynomial Rings | Gallian Chs. 16-17 | |
15 Nov 10 | Quiz II | up to 11/1, PS7, Ch. 13 | |
Problem Set 8 (due 11/19) | |||
17 Nov 10 | Extension Fields | Gallian Ch. 20-21 | |
22 Nov 10 | Vector Spaces & Algebraic Extensions | Gallian Ch. 19, 21 | |
24 Nov 10 | Class cancelled | ||
Problem Set 9 (due 12/3) | |||
30 Nov 10 | Finite Fields | Gallian Ch. 22 | |
1 Nov 10 | Error-Correcting Codes | ||
Problem Set 10 (due 12/10) | |||
7 Dec 10 | AM 206 Essay II due | ||
9 Dec 10 | AM 206 Presentations | ||
17 Dec 10 | Final Exam |