Math 465: Number Theory

Spring 2021


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

Date Lecture Assigned Reading Discussion Questions
Week 1
1/26-1/28 Introduction and Basic Definitions, Euclid's Lemma Chapter 1, Section 2-1 Week 1 (TEX)
Week 2
2/2-2/4 The Fundamental Theorem of Arithmetic Chapter 2 Week 2 (TEX)
Week 3
2/9-2/11 Congruences Chapter 4 Week 3 (TEX)
Week 4
2/16-2/18 Congruences Chapter 3
Week 5
2/23-2/25 Arithmetic Functions Chapter 5 Week 5 (TEX)
Mobius (TEX)
Week 6
3/2-3/4 Arithmetic Functions Chapter 6 Mobius (TEX)
Mobius (TEX)
Week 7
3/9-3/11 Multiplicative Functions Chapter 6
Mobius (TEX)
Week 8
3/23-3/25 Primitive Roots Chapter 6 Week 8 (TEX)
Week 9
3/30-4/1 Midterm Chapter 7
Week 10
4/6-4/8 Quadratic Residues Chapter 8 Week 10 (TEX)
Week 11
4/13-4/15 Quadratic Residues Chapter 9
Week 12
4/20-4/22 Quadratic Reciprocity Chapter 9 Week 12 (TEX)
Week 13
4/27-4/29 Patterns in Quadratic Residues Chapter 10-1
Week 14
5/4-5/6 Sums of Squares Chapter 11-1 and 15-1
Week 15
5/11 Presentations
Week 16
5/18 Final Exam (3:00-5:00)