Instructor  Phone  Office Hours  

Blake Thornton  blake@math.wustl.edu  9356301  Cupples I 108A 12PM MWF Or By Appintment (Feel free to stop in) 
Course Description
Polynomials, binomial expansions, factoring, rings (integers and polynomials),
unique factorization, and other topics relevant to the high school curriculum.
Designed for future secondary school teachers and other students.
Textbook and Materials
A Concrete Approach to Abstract Algebra by Jeffrey Bergen
We plan to cover a subset of chapters 19 (and possibly other topics too).
Prerequisite
Math 310.
Homework
There will be weekly homework, see below.
Grades and Exams
15%  Class Participation  
35%  Homework  
15%  Exam 1  Wed Oct 2 
15%  Exam 2  Wed Nov 12 
20%  Final  Dec 13, 13PM (Location TBA) 
Tentative Schedule  
Week  Dates  Notes  Homework 
1  Aug 2830 
Chapter 1, 2.13 Well Ordering, Contradiction, Induction 
Due Sept 4 (Finalized) Ch 1: 4, 9, 10, 11 2.1: 1, 5, 8, 9, 33, 37 
2  Sept 26  No Class on Monday
Functions and binary operations Integers and Primes: Prime Handout 
Due Sept 11 (Finalized) 2.4: 46, 710, 1920, 39,40,41,42, 72 3.3: 9, 12, 22, 24 
3  Sept 913  GCD  Due Sept 18 (Finalized) 3.4: 2, 3, 25, 33, 47, 48 4.1: 11, 13, 16, 17 4.3: 1,2,3, 9,10, 25, 27 
4  Sept 1620  Fields and Polynomials  Due Sept 25 (Finalized) 5.1: 9, 24, 28, 36, 44 5.4: 13, 16, 21 
5  Sept 2327  Due Oct 2 (Finalized) 5.4: 29, 30, 43, 44, 48 5.5: 313 

6  Sept 30Oct 4  Exam 1 Wednesday Gaussian Integers 
Due Oct 9 (Finalized) 5.5: 1326 
7  Oct 711  Complex Numbers and Fund Thm of Algebra  Due Oct 16 (Finalized) 6.1: 43,47,51 6.4: 13, 27, 35, 39, 58 
8  Oct 1418  No Class Friday
Modular Arithmetic 
Due Oct 23 (Finalized) 7.2: 712, 16, 17, 20, 25, 26, 28, 54, 55, 56 
9  Oct 2125  Modular Arithmetic  Due Oct 30 (Finalized) 7.2: 60, 61, 67, 69, 70 7.3: 4, 7, 9, 16, 24, 3740, 46, 54, 55 
10  Oct 28Nov 1  Polynomial Rings  Due Nov 6 (Finalized) 9.1: 2733, 34, 47, 48, 49, 50 9.2: 14, 15, 2126 
11  Nov 48  Irreducible Polynomials  Due Nov 13 (Finalized and shortened) 9.3: 4, 9, 15, 24, 28 9.4: 3,9,15,21,27,34, 36, 38, 40,41,42 
12  Nov 1115  Exam 2 Wednesday: Exam2.pdf  Due Nov 20 (Finalized) No HW Due! 
13  Nov 1822  Due Nov 27 (Finalized) No HW Due! 

14  Nov 2529  No Class Wed/Fri  Due Dec 4 (Finalized) 11.1: 18 13.1: 810, 12, 18, 35 
15  Dec 26  Last Day of Class Wednesday
NO CLASS FRIDAY 
Due Dec 11 (Finalized) None! 
Fri Dec 13 
Final, 13PM Cupples 1 Room 6 