MTH 331/431 Abstract Algebra I (Fall 2021):
 What is Abstract (or Modern) Algebra?
Algebra is defined to be the study of algebraic structures. Mathematicians study algebraic structures from a general point of view, compare different structures, and find relationships between them. In this course we will study elementary number theory, groups, rings, and fields.
Find more information about the course here:
MTH 331 syllabus
MTH 331&H syllabus (honors)
MTH 431 syllabus (graduate)  Instructor: Dr. Sofya Chepushtanova, office SLC 408, email: sofya.chepushtanova@wilkes.edu.
 Meeting Times: MWF 11:0011:50 am and T 03:0003:50 pm, SLC 359.
 Office Hours: TF 10:0010:50 am, MWF 12:0012:50 PM, or by appointment.
 Textbook: Tom Judson's Abstract Algebra: Theory and Applications.
An electronic version of the book is freely available here.  Sage: an opensource program for doing mathematics and is the ideal companion to Tom Judson's textbook. Sage includes many mature and powerful opensource tools for mathematics, such as GAP, a system for computational discrete algebra (used for group theory). With a strength in number theory, Sage also has excellent support for rings and fields. We will be using Sage sometimes for exercises and assignments. More information about Sage is here and here.
 Reading:
 LaTeX: a markup language to typeset documents. It excels at making math and the overall layout beautiful.
You can use it to type your homework solutions. Read the tutorial here. You may find the following LaTeX cheatsheet useful.
Consider the following LaTeX template to start: download (it is the template of document On Proofs).
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 WellOrdering 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 