Fall 2017/Math366

Textbook: Contemporary Abstract Algebra by Joseph A. Gallian. (Ninth edition)

Click here for the syllabus.

Click here for the solutions to Midterm 1.

Click here for the solutions to Midterm 2.

Assignments:

Homework 1 (due August 30)

Homework 2 (due September 8)

Solutions (Lange Simmons)

Homework 3 (due September 15)

Solutions (Lange Simmons)

Homework 4 (due September 27)

Solutions

Homework 5 (due October 4)

Solutions (Michelle Moran)

Homework 6 (due October 23)

Solutions

Homework 7 (due November 3)

Solutions

Homework 8 (due December 1)

Solutions

Extra Problems to study: (Gallian, Joseph. (9th edition))

Subgroups (Chapter 3,pg 69-74)#1,2,4,5,6,10,12,13,14,18,19,38,42,60,66,71,73(Midterm problem)

Cyclic Groups (Chapter 4, pg 85-90): #1,3,4,14,16,17,19,21,30,50,53,61,70

Permutation Groups(Chapter 5,pg 112-116):#1,2,2,4,5,6,7,8,9,10,11,16,22,28,39(Midterm problem),40,41,48,54.

Isomorphisms(Chapter 6,pg132-136): #1,6,12,38,39,40.

Langrange's Theorem, Cosets (Chapter 7): #1, 3,5,6,7,8,9,11,12,21,19,26,27,28,40,46,50,65.

Normal Subgroups/Quotient Groups: #12,13,14,32,27,37,43,50,52,58,69,70.

Homomorphisms (Chapter 10): #19,20,21,22,27,25,29,31,33,34,47,48,63,62,64.

Rings: #1,2,3,28,34,49,54,52.

Integral Domains:#3,12,14,32,44,36,56,64,57.

Ideals and Factor Rings: #1,4,5,8,10,11,13,17,30,35,41,60.

Ring Homomorphisms:#5,8,10,12,14,16,25,29,39,49,56,69.

Polynomial Rings: #1,3,9,15,34,46,56,57,50,37.