MTH 331/431 Abstract Algebra I (Fall 2017):
 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 in the syllabus.  Instructor: Sofya Chepushtanova, office SLC 410, email: sofya.chepushtanova@wilkes.edu.
 Class meetings: MWRF 10:0010:50am, room SLC 405.
 Office Hours: MWF 11:00amnoon, T 9:0011:00am, room SLC 410.
 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 our document On Proofs.)
Schedule:
Week of  Class Topics  Remarks, Materials, Assignments 
8/28  Introduction. Preliminaries (Ch.1). Integers (Ch.2). 

9/4  Continued: Preliminaries (Ch.1). Integers (Ch.2). No class on 9/4 
Homework 1 due 9/8: All students: Ch. 1, Sect. 1.3 "Exercises" (online text), exer. 7, 9, 18(b), 19, 20(b), 21, 22(c), 25(d). Graduate (MTH 431) students: in addition, do exer. 26 and 29. (MTH 331 students are welcome to do these problems for extra credit.) 
9/11  Continued: Integers (Ch.2). Groups (Ch.3)  (Baby) Homework 2 due 9/15: All students: Ch. 2, Sect. 2.3 "Exercises" (online text), exer. 2, 5, 15(d), 18. Graduate (MTH 431) students: in addition, do exer. 23. (MTH 331 students are welcome to do this problem for extra credit.) Everyone: extra credit problem is exer. 12. 
9/18  Groups (Ch.3). Study for Exam I (9/22): study guide 
Homework 3 due 9/25: All students: Section 2.3 "Exercises": exer. 28, 31, Section 3.4 "Exercises": exer. 1 (b,d), 2 (d), 7, 8, 13, 24. Graduate (MTH 431) students: in addition, do exer. 10 and 15 in Section 3.4. (MTH 331 students are welcome to do these problems for extra credit.) 
9/25  
10/2  
Homework 4 
10/9  Fall Recess 10/1210/15  Homework 5 
10/16  Exam II 10/20  Homework 6 
10/23  

10/30  Homework 7  
11/6  Homework 8  
11/13  Exam III 11/17 
Homework 9 
11/20  Thanksgiving Recess 11/2211/26 (Tuesday follows Thursday schedule) 

11/27  Homework 10  
12/4  Homework 11  
12/11  Final Exam and Graduate Student Presentations (Monday follows Friday schedule) 
Homework 12 (optional) 