Fall 2015
Algebraic Structures
MWF 3-4PM
TBA

Instructor Email Phone Office Hours
Blake Thornton blake@math.wustl.edu 935-6301 Cupples I 108A
3-4PM 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. More below.

Textbook and Materials
Learning Modern Algebra by Cuoco and Rotman
We plan to cover chapters 1-9 (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 Takehome Due in Class Oct 2
15% Exam 2 Takehome Due in Class Nov 6
20% Final Dec 10, 6-8PM (Location TBA)


Links
Tentative Schedule
Week Dates Notes Suggested HW Turn In HW
1 Aug 24-28 1.1-1.2
Number Theory
Watch the BBC Film below
Chapter 1: 2,9,14,15,
Finalized
Due: Fri 8/28
Chapter 1: 7,11,20,27
2 Aug 31 - Sept 4 1.3-1.4 Chapter 1: 37, 38, 43 Finalized
Due: Fri 9/4
Chapter 1: 30, 34, 39, 48, 51
3 Sept 7-11 2.1-2.3 Finalized
Due: Fri 9/11
GCD: Page 5, Recording Triangle
4 Sept 14-18 3.1-3.2: Solving Polynomials, Complex Numbers Chapter 2: 5,6,10,13,52 Finalized
Due: Fri 9/18
Induction: 2,16,18, One "Project"
Chapter 2: 24, 25, 43
Project A: Induction: 3-6
Project B: Induction: 11-14
Project C: Induction: 30-33
5 Sept 21-25 3.2-3.3: Complex Numbers
Holden Lee's Lectures
Hotel Infinity 1
Hotel Infinity 2
From Lee: everything!! Finalized
Due: Fri 9/25
Chapter 3: 2,3,13,25
From Lee Set 1: 4, 5
From Lee Set 2: 1, 10
From Lee Set 3: 1
6 Sept 28 - Oct 2 Exam 1 Due Friday
4.1-4.3: Congruence
Modular Arithmetic
Finalized
Due: Fri 10/2
Hotel Infinity 1: 5
Hotel Infinity 2: 1, 2
7 Oct 5-9 4.2-4.3: Public Key and Polynomials Chapter 4: 11, 16, 36, 37 Finalized
Due: Fri 10/9
Chapter 4: 9,10, 17, 18, 38, 39
8 Oct 12-16 Chapter 4: 41, 44, 46,47 Finalized
Due: Mon 10/19
Chapter 4: 25,43,48
Public Key: 1-4
9 Oct 19-23 Repeating Decimals Chapter 4: 86 Finalized
Due: Fri 10/23
Chapter 4: 85,92,93,94
10 Oct 26-30 Polynomials Finalized
Due: Fri 10/30
Chapter 5: 4, 13,20,21
11 Nov 2-6 Exam 2 Due Friday
Polynomials
Finalized
Due: Fri 11/6
Chapter 5: 33,34,35,37, 43, 50i, 51i
12 Nov 9-13 Finalized
Due: Fri 11/13
Chapter 6: 2,3,6,7
13 Nov 16-20 Finalized
Due: Fri 11/20
Chapter 6: 13, 15, 18i, 29, 30, 35, 36, 43
14 Nov 23-27 Not Finalized
Due: Mon 11/30
15 Nov 30 - Dec 4 Last Day of Class Wednesday
NO CLASS FRIDAY
Not Finalized
Due: Fri 12/4
  Thurs
Dec 10
Final, 6-8PM

BBC Horizon - Fermat's Last Theorem on Vimeo


Homer's Last Theorem at Slate (from the Simpsons)