

Lesson # 
Date(s) 
Chapter(s) 
Topic 
Homework Assignment 

1 
Aug. 29 
1, 2 
Course Admin. Pythagorean Triples 
Read: Chapters 1 and 2 Chapter 1 Exercises: Chapter 2 Exercises: 

2 
Sept. 1 
3, 4 
Student Presentations Pythagorean Triples and the Unit Circle Sums of Higher Powers and Fermat's Last Theorem 
Read: Chapters 3 and 4 Chapter 3 Exercises: 

3 
Sept. 6 
5 
Divisibility and the Greatest Common Divisor  Read: Chapter 5 Chapter 5 Exercises: 

4 
Sept. 8 
5 
The 3n+1 Conjecture 

5 
Sept. 13 
6 
Student Presentations Linear Equations and the Greatest Common Divisor 
Read: Chapter 6 Chapter 6 Exercises: 

6 
Sept. 15 
7 
Factorization and the Fundamental Theorem of Arithmetic 
Read: Chapter 7 Chapter 7 Exercises: If you have had Abstract Algebra II, then you might be interested in
reading this article about Unique Factorization: http://www.ams.org/featurecolumn/archive/factorization.html 

7 
Sept. 20 
8 
Congruences  Read: Chapter 8 Work through the exercises from the handout. I will ask volunteers to present these at the board on Thurs (Sept 22.) I will collect any that we do not present in class (on Tues, Sept. 27.) Chapter 8 Exercises: 

8 
Sept. 22 
8 
Student Presentations Linear Congruences 

9 
Sept. 27 
9, 10 
Fermat's Little Theorem and Euler's Generalization 
Read: Chapters 9 and 10 Work through the Euler Phi function exercises from the handout. I will ask volunteers to present these at the board next lesson. Chapter 9 Exercises: 9.1, 9.4 

10 
Sept. 29 
11 
Euler's Phi Function (Student Presentations) The Chinese Remainder Theorem 
Read: Chapter 11 Chapter 10 Exercises: 10.1a), 10.2, 10.3 Chapter 11 Exercises: 11.2. 11.3, 11.5, 11.7, 11.12a) 

11 
Oct. 4 
9  11 
Problem Solving  Study Study Study!!!  
12 
Oct. 6 
1  11 
Exam 1 (inclass)  The takehome portion of the exam is due at the beginning of class on Thursday, October 13. Choose any 48hour period between now and then to complete the exam.  
~ ~ ~ OCTOBER
1011 ~ ~ READING DAYS ~ ~ ~
