Applied Math 106/206: Applied Algebra
Lecture Notes, Handouts and Assignments
| Date | Title | Notes | Reading |
|---|---|---|---|
2,9,14 Sep 09 | Introduction, the Integers, and Algorithms | Gallian Ch. 0 | |
16 Sep 09 | Primes & Factorization, Group Theory: Def & Examples | Gallian Ch. 0,2 | |
Problem Set 1 (due 9/23) | |||
21 Sep 09 | More Groups | Gallian Ch. 1,2 | |
23 Sep 09 | Subgroups and Cyclic Groups | Gallian Ch. 3,4 | |
Problem Set 2 (due 9/30) | |||
28 Sep 09 | Cyclic Groups and Cryptographic Applications | Gallian Ch. 4 | |
30 Sep 09 | Permutation Groups | Gallian Ch. 5 | |
5-7 Oct 09 | Isomorphisms | Gallian Ch. 6 | |
7 Oct 09 | Quiz I | Until Notes #5, Gallian Ch. 4. | |
Problem Set 3 (due 10/21) | |||
12 Oct 09 | No class: Columbus Day | ||
14 Oct 09 | Automorphisms & Cosets | Gallian Chs. 6-7 | |
Midterm Feedback Responses | |||
19 Oct 09 | Orbits & Stabilizers, External Direct Products | Gallian Chs. 7-8 | |
21 Oct 09 | Normal Subgroups and Factor Groups | Gallian Ch. 9 | |
Problem Set 4 (due 10/28) | |||
26 Oct 09 | Homomorphisms | Gallian Ch. 10 | |
28 Oct 09 | Computational Group Theory | Gallian Ch. 11 | |
Problem Set 5 (due 11/4) | |||
2 Nov 09 | Rings | Gallian Chs. 12-13 | |
4 Nov 09 | Ideals | Gallian Ch. 14 | |
Problem Set 6 (due THU 11/12) | |||
9 Nov 09 | Homomorphisms | Gallian Ch. 15 | |
11 Nov 09 | No class: Veteran's Day | ||
16 Nov 09 | Polynomial Rings | Gallian Chs. 16-17 | |
18 Nov 09 | Quiz II | Until Notes #14, Ch. 14 | |
Problem Set 7 (due Wed 12/2) | |||
23 Nov 09 | Ideals and Factors of Polynomial Rings | Gallian Chs. 14,16,17 | |
25 Nov 09 | Vector Spaces | Gallian Chs. 19,21 | |
30 Nov 09 | Extension Fields | Gallian Chs. 20-21 | |
2 Dec 09 | Finite Fields, Error-Correcting Codes | Gallian Ch. 22 | |
Problem Set 8 (due Wed 12/9) |