Applied Math 106: Applied Algebra
Lecture Notes, Handouts, and Assignments
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| Date | Title | Notes | Reading |
|---|---|---|---|
Tue 9/4 | Course Overview, Induction | Gallian Ch. 0 | |
Thu 9/6 | The Integers | Gallian Ch. 0 | |
Problem Set 0 (due 9/14) | |||
Tue 9/11 | Modular Arithmetic, Relations, Algorithms | ||
Thu 9/13 | Measuring Complexity, The Euclidean Algorithm | ||
Problem Set 1 (due 9/21) | |||
Tue 9/18 | Extended Euclid, Primality & Factoring, Intro to Groups | Gallian Ch. 2 | |
Thu 9/20 | More Groups and Basic Properties | Gallian Ch. 1,2 | |
Problem Set 2 (due 9/28) | |||
Tue 9/25 | Subgroups, Cyclic Groups | Gallian Ch. 3,4 | |
Thu 9/27 | Cyclic Groups & Cryptography | Gallian Ch. 4 | |
Practice Quiz I | |||
Tue 10/2 | Permutation Groups | Gallian Ch. 5 | |
Thu 10/4 | Quiz I | ||
Problem Set 3 (due 10/12) | |||
Tue 10/9 | Isomorphisms and Cosets | Gallian Ch. 6-7 | |
Thu 10/11 | Cosets | Gallian Ch. 7 | |
Problem Set 4 (due 10/19) | |||
Tue 10/16 | Direct Products | Gallian Ch. 8, 11 | |
Thu 10/18 | Normal Subgroups & Factor Groups | Gallian Ch. 9 | |
Problem Set 5 (due 10/26) | |||
Tue 10/23 | Homomorphisms, Isometries | Gallian Chs. 10, 27 | |
Thu 10/25 | Group Theory & Crystallography | Gallian Ch. 28 | |
Problem Set 6 (due 11/2) | |||
Tue 10/30 | Rings | Gallian Chs. 12, 13 | |
Thu 11/1 | Properties of Rings | ||
Problem Set 7 (due 11/10) | |||
Tue 11/6 | EthiCS Module led by Kate Vredenburgh: Basic vs. Applied Research | ||
Thu 11/8 | Ideals and Factor Rings | Gallian Ch. 14 | |
Practice Quiz II | |||
Tue 11/13 | Ring Homomorphisms | Gallian Ch. 15 | |
Thu 11/15 | Quiz II | ||
Problem Set 8 (due 11/30) | |||
Tue 11/20 | Polynomial Rings | Gallian Ch. 16 | |
Thu 11/22 | No Class - Thanksgiving | ||
Tue 11/27 | Factorization & Ideals in Polynomial Rings, Field Extensions | Gallian Chs. 16-17 | |
Thu 11/29 | Vector Spaces | Gallian Ch. 19 | |
Problem Set 9 (due Monday 12/10) | |||
Tue 12/4 | Error-Correcting Codes | ||
Thu 12/6 | Conclusions | ||
Final Exam Practice | |||
Thu 12/13 | Review Session I (7-9pm, MD 223) | ||
Sun 12/16 | Review Session II (7-9pm, MD 223) | ||
Wed 12/19 | Final Exam (9am-12pm, Harvard Hall 102) |