MTH 331/431 Abstract Algebra I (Fall 2021):


Schedule:

Week of
Class Topics Remarks, Materials, Assignments

8/30 Introduction
Preliminaries (Ch. 1)
Introduction slides

Sets and Equivalence Relations

9/6 No class on 9/6
(Labor Day)

Integers (Ch. 2)
Induction and Well-Ordering Principle

Division Algorith, Euclidean Algorithm, Prime Numbers

Homework 1 due 9/10:
All students: Ch. 1, §1.4 "Exercises" (online text),
exer. 7, 9, 18(b,c), 19, 20(b), 21, 22(c,e), 25(d).
Honors (MTH 331&H) and graduate (MTH 431) students:
in addition, do exer. 26, 28, and 29.

Latex template for Homework 1: here.
Homework 1 Solutions

9/13 Groups (Ch. 3) Integer Equivalence Classes and Symmetries

Homework 2 due 9/17:
All students: Ch. 2, §2.4 "Exercises" (online text),
exer. 2, 5, 12, 15(d, f), 18.
Honors (MTH 331&H) and graduate (MTH 431) students:
in addition, do exer. 16 and 23.

Latex template for Homework 2: here.

9/20 Groups Continued

9/27 Exam I on 9/27 (Monday) Study for Exam I: study guide