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) |