Week | Date | Reading | Topic | Exercises |
1 | 6/22 | Introduction and Cayley tables | ||
Homework 1 and TeX File | ||||
2 | 6/25 | Ch 2,3 | Operations and Definition of Groups | |
6/27 | Ch 4, 10 | Group Properties, Order of elements | ||
6/28 | Proof Techniques | |||
6/29 | Ch 5 | Subgroups | ||
Homework 2 and TeX File | ||||
3 | 7/2 | Ch 11 | Cyclic Groups | |
7/4 | No class (Happy 4th of July!) | |||
7/5 | Ch 6,7,8 | Functions, Permutations | ||
7/6 | Ch 7,8 | Permutations | ||
Homework 3 and TeX File | ||||
4 | 7/9 | Ch 9 | Isomorphisms, Homomorphisms | |
7/11 | Ch 12 | Partitions and Equivalence Relations | ||
7/12 | LaTeX workshop | |||
7/13 | Ch 13 | Cosets and Lagrange's Theorem | ||
Homework 4 and TeX File | ||||
5 | 7/16 | Ch 14 | Normal Subgroups | |
7/18 | In-class Midterm | |||
7/19 | Ch 15 | Quotient Groups | ||
7/20 | Ch 14,16 | Homomorphisms | ||
Take Home Midterm and TeX File | ||||
6 | 7/23 | Ch 16 | No Class | |
7/25 | Ch 16 | Homomorphisms | ||
7/27 | Fundamental Theorem of Finite Abelian Groups | |||
Homework 5 and TeX File | ||||
7 | 7/30 | Ch 17 | Introduction to Rings | |
8/1 | Ch 18 | Ideals | ||
8/2 | Work on Projects | |||
8/3 | Ch 19 | Quotient Rings | ||
Homework 6 and TeX File | ||||
8 | 8/6 | Ch 20 | Integral Domains | |
8/8 | Ch 18 | Ring Homomorphisms | ||
8/9 | Work on Projects | |||
8/10 | Ch 24 | Polynomial Rings | ||
Homework 7 and TeX File | ||||
9 | 8/13 | Ch 24 | Polynomial Rings | |
8/15 | Ch 25 | Factoring Polynomials | ||
8/16 | Work on Projects | |||
8/17 | Ch 25 | Factoring Polynomials | ||
Final and TeX File | ||||
10 | 8/20 | Presentations | ||
8/22 | Presentations | |||
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