INSTRUCTOR: Charles Conley, GAB 419, (940) 565-3326

OFFICE HOURS: Monday and Wednesday, 12-1, Tuesday and Thursday, 11-12

CLASS MEETS: Monday, Wednesday, and Friday, 11:00-11:50, GAB 206

EXAMS, HOMEWORK, AND GRADING: There will be two 100 point midterms, on Wednesday, Sept. 25 and Wednesday, Oct. 30, and a comprehensive 180 point final, on Monday, Dec.9, 10:30-12:30.  There will also be twelve 10 point homeworks, due Fridays at the beginning of class.  There will be no make-up exams except for emergencies, and late homework will be worth half-credit.

TEXT, PREREQUISITES, AND OTHER REFERENCES: The text is A first course in Abstract Algebra, 6th edition, by J. Fraleigh.  The prerequisite is Math 2510-20, the analysis sequence.

TOPICS:   We will cover two main topics, groups and rings.  The section of the course on groups will be an introduction to their structure, with an emphasis on examples such as the cyclic and dihedral groups, the groups of symmetries of the Platonic solids, and the symmetric groups.  The section on rings will begin with arithmetic in the integers, the unique factorization theorem, and modular arithmetic.  Then we will discuss more general rings, emphasizing the particular case of polynomial rings and their quotients, which lead to field theory.  Prior experience with analytic proofs will be assumed; here you will be introduced to algebraic proofs.

FINAL EXAM: Monday, Dec.9, 10:30-12:30

HOMEWORK 12, due Friday, Dec. 6:

   Section 5.3: 3-10, 27, 28
 

HOMEWORK 11, due Friday, Nov. 22:

   Section 5.1: 32, 39, 40, 43, 49, 52, 55
   Section 5.2: 1, 2, 4, 8-10, 12, 27
 

HOMEWORK 10, due Friday, Nov. 15:

   Section 5.1: 2, 4, 6, 8, 10, 12, 14, 15, 16, 19, 28, 38
 

HOMEWORK 9, due Monday, Nov. 11 (note the change in the due date):

   Section 2.4: 1, 2, 4
   Section 3.1: 4, 5, 16, 18, 44, 45, 47
   Five handwritten problems (see your copy of Exam II)
 

EXAM 2:   Wednesday, October 30
 

HOMEWORK 8, due Friday, Oct. 25:

   Section 2.2: 24a, 31
   Section 2.3: 1-4, 6-11, 15, 26, 27
 

HOMEWORK 7, due Friday, Oct. 18:

   Section 2.1: 11-13, 16, 18-20, 23-26, 42, 43
   Section 2.2: 1-3, 7-14, 16, 17
 

HOMEWORK 6, due Friday, Oct. 11:

   Section 1.5: 13, 20, 21, 31, 33, 34, 36-38, 52-54, 64, 65a
   Section 2.1: 1-9
 

HOMEWORK 5, due Friday, Oct. 4:

   Section 1.4: 4, 5, 6, 7 for 4-6, 20, 27, 28, 41, 42, 43, 46, 51, 55
   Section 1.5: 14, 15, 18, 19, 22, 26, 27, 28, 32
 

EXAM 1:   Wednesday, September 25
 

HOMEWORK 4, due Friday, September 20:

   Section 1.3: 1, 3, 7, 10, 20, 26, 27, 29, 30, 33, 40, 5, 6, 7, 20, 27
 

HOMEWORK 3, due Friday, September 13:

   Section 1.1: 1-11, 23
   Section 1.2: 2-8, 10, 16, 17
 

HOMEWORK 2, due Monday, September 9:

   Section 0.2: 1, 2, 9, 10, 11, 12, 16, 18, 19, 25, 26, 31, 32, 33, 34, 35b
 

HOMEWORK 1, due Friday, August 30:

   Section 0.1: 9, 10, 13, 18, 19, 26, 28, 29, 30
   Section 0.3: 1, 3, 4, 5, 8b