Math 465: Theory of Numbers

Fall 2019


Preparing a course schedule is typically an exercise in fiction-writing. However, we hope to roughly follow this schedule:

Date Lecture Notes Assigned Reading
Week 1
8/26-8/28 Introduction and Basic Definitions, Euclid's Lemma Notes Chapter 1
Week 2
9/4 The Fundamental Theorem of Arithmetic Chapter 2
Week 3
9/9-9/11 Combinatorial Number Theory Chapter 3
Week 4
9/16-9/18 Congruences Notes Chapter 4-5
Week 5
9/23-9/25 Solving Congruence Equations Chapter 5
Week 6
9/30-10/2 Arithmetic Functions Notes Chapter 6
Week 7
10/7-10/9 Midterm
Week 8
10/14-10-16 Multiplicative Functions Notes Chapter 6
Week 9
10/21-10/23 Primitive Roots Notes Chapter 7
Week 10
10/28-10/30 Counting Primes Notes Chapter 8
Week 11
11/4-11/6 Quadratic Residues Chapter 9
Week 12
11/11-11/13 Quadratic Reciprocity Notes Chapter 9
Week 13
11/18-11/20 Patterns in Quadratic Residues Notes Chapter 10-1
Week 14
11/25 Midterm and Thanksgiving
Week 15
12/2-12/4 Sums of Squares Chapter 11-1 and 15-1
Week 16
12/9 Presentations
12/13 Final Exam (3:30-5:30)