| 1 |
Monday, 1/23 |
1.1 - 1.3, 2.1 - 2.2 |
Introduction, Ideas and Goals of Abstract Algebra, Divisibility in the Integers |
| 2 |
Wednesday, 1/25 |
2.2 - 2.4 |
Divisibility in the Integers, Division with Remainder, GCDs, Euclidean Algorithm |
| 3 |
Friday, 1/27 |
2.4 - 2.5 |
Primes, The Fundamental Theorem of Arithmetic |
| 4 |
Monday, 1/30 |
3.1 - 3.3 |
Equivalence Relations, Functions, Composition |
| 5 |
Wednesday, 2/1 |
3.4 - 3.6 |
Left and Right Inverses of Functions, Defining Functions on Equivalence Classes, Modular Arithmetic |
| 6 |
Friday, 2/3 |
4.1 - 4.3 |
The Group Axioms, Examples |
| 7 |
Monday, 2/6 |
4.4 - 4.5 |
The Groups Z/nZ, U(Z/nZ), and S_n |
| 8 |
Wednesday, 2/8 |
4.6 - 4.7 |
Orders of Elements, Direct Products |