Math 321 - Foundations of Abstract Algebra - Schedule

Class Date Sections Brief Description
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