Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained on Canvas will always be accurate. (Last update: 10/5)

Lectures Sections in Judson Sections in Dos Reis2 Brief Description
9/12 (none) (none) Why Abstract Algebra?
9/14 1.1, 1.2, 2.1 Ch 1, 2, 4 Sets and Proofs
9/16 1.2 Ch 6 Relations and Functions
9/19 2.2 Ch 10 Integers
9/21 1.2, 3.1 Ch 11, 12 Equivalence Relations, Congruences
9/23 (none) Ch 7 Binary Operations
9/26 3.1, 3.2 Ch 8 Introduction to Groups
9/28 3.3 Ch 14 Subgroups
9/30 4.1 Ch 16 Cyclic groups
10/3 4.1 Ch 16 Cyclic groups (catch-up)
10/5 5.1 Ch 13 Symmetric groups
10/7 5.2 Ch 13 Dihedral groups
10/10 Review for the midterm
10/11 Midterm Exam
10/12 6.1, 6.2 Ch 17 Cosets and Lagrange's Theorem
10/14 6.2, 10.1 Ch 17, Ch 18 Lagrange's Theorem and Normal Subgroups
10/17 10.1 Ch 18 Normal Subgroups and Quotient Groups
10/19 9.1, 11.1 Ch 15, 19 Homomorphisms and Isomorphisms
10/21 Day of Caring (no class)
10/24 11.2 Ch 19 Fundamental Homomorphism Theorems
10/26 11.2 Ch 19 Fundamental Homomorphism Theorems
10/28 14.1 (none) Group Actions
10/31 16.1, 16.2 Ch 21, 24 Rings
11/2 16.1, 16.3 Ch 22 Subrings and Ideals
11/4 16.3 Ch 22 Ring Homomorphisms and Quotient Rings
11/7 16.4 Ch 24 Prime Ideals and Maximal Ideals
11/9 17.1 Ch 25-26 Polynomial Rings and their Ideals
11/11 (none) (none) Rings and Ideals: Summary
11/14 Review