**Course Description**: Study of relations, functions and binary operations. Introduction to the theory of rings, integral domains and fields through a study of integers, rational numbers, real numbers, complex numbers and polynomials, and elementary group theory

**Course Goals**: This is a proof-based course on groups, rings and fields. One of the main objectives of this course is to teach you proofs and the art of proof-writing. **Will this course be hard**? Unlike calculus, you will not have to memorize any formulas in this course. The emphasis will be on concepts. It is not unusual to experience some difficulty in the beginning of a course such as Abstract Algebra. However, once you adjust to a new way of thinking everything will be okay provided you apply yourself and that you work hard. Remember, mathematics only reveals itself to the ones who are persistent.

**Prerequisite**: Math 202

**Required Text**: Contemporary Abstract Algebra Edition: 8^{th}. *Author*: Gallian ISBN: 9781133599708. *Copyright Year*: 2013 * Publisher*: Cengage Learning

Handouts

- First day
- Syllabus 301-001
- Syllabus 301-002
- Rotations of the square
- Worksheet on Centers and Centralizers
- Worksheet

Homework, Quizzes and Exams

- Homework set 0 Solution Homework set 0

- Homework set 1 Homework set 1 solution
- Quiz 1 Solutions
- Homework set 2 Homework set 2 solutions
- Homework set 3 Solution Homework set 3
- exam-1-solutions
- Homework set 4 Homework set 4 solutions

- Homework set 5 Homework set 5 solutions
- Study Guide Exam 2
- Homework Set 6 Solutions Homework set 6
- Study Guide Exam 3

Lecture Notes

- Lecture 1
- Lecture on Modular Arithmetic
- Equivalence relations
- Chapter 1 Introduction to groups
- Chapter 2 Groups Lecture on Groups
- Chapter 3 Finite Groups and Subgroups subgroups
- Lecture notes on centers and centralizers of groups
- Chapter 6 Isomorphisms
- Lecture 9 and 10