Date 
Topics 
Assignments 
Jan 20

1.1 An Introduction to Number Theory


Jan 27

1.2 Some Elementary Properties of Divisibility


Feb 3

2.1 The Euclidean Algorithm


Feb 10

2.2 The Fundamental Theorem of Arithmetic


Feb 17

2.3 Applications of the Fundamental Theorem
2.4 Multiplicative Functions


Feb 24

2.5 Linear Diophantine Equations
3.1 Introduction to Congruences


March 2

3.2 Fundamental Properties of Congruences
Exam I, Thursday March 6th


March 9

Spring break


March 16

Extended spring break


March 23

3.3 Linear Congruence Equations
3.4 Reduced Residue Systems and Euler's ϕ Function
3.5 More on Euler's ϕ Function


March 30

3.6 Polynomial Congruences
5.1 Introduction to Diophantine Equations
5.2 Using Congruences to Solve Diophantine Equations


April 6

5.3 Phytagorean Triples
5.4 Fermat's Method of Descent


April 13

8.1 Introduction to Quadratic Fields
8.2 Quadratic Fields and Quadratic Integers


April 20

8.3 Divisibility and Factorization into Primes
8.4 Unique Factorization and Euclidean Domains


April 27

8.5 Applications of Quadratic Fields to Diophantine Equations
Review
Last Day of Classes Tuesday April 28th
Final Exam

Tuesday May 5th 8:00  11:00 AM
