Instructor(s): Tristan Phillips
Course on canvas.dartmouth.edu.⇗
Syllabus
| Week | Class Day | Topics | Textbook Chapters |
| Week 1 | 9/15 (M) |
What is number theory? Pythagorean Triples |
1, 2 |
| 9/17 (W) | Pythagorean Triples and the Unit Circle | 2, 3 | |
| 9/19 (F) | Divisibility, Greatest Common Divisor, and Linear Equations | 5,6 | |
| Week 2 | 9/22 (M) | Factorization, the Fundamental Theorem of Arithmetic, and Congruences | 7,8 |
| 9/24 (W) | Congruences, Powers, and Fermat's Little Theorem | 8,9 | |
| 9/26 (F) | Fermat's Little Theorem and Euler's Formula | 9,10 | |
| Week 3 | 9/29 (M) | Euler's Phi Function and Primes | 11, 12 |
| 10/1 (W) | Primes and Counting Primes | 12, 13 | |
| 10/3 (F) | Prime Conjectures and Mersene Primes | 13, 14 | |
| Week 4 | 10/6 (M) | Mersenne Primes and Perfect Numbers | 15 |
| 10/8 (W) | Successive Squaring and k-th Roots Modulo m | 16, 17 | |
| 10/10 (F) | Exam I | ||
| Week 5 | 10/13 (M) | "Unbreakable" Codes | 18 |
| 10/15 (W) | Primality Testing and Carmichael Numbers | 19 | |
| 10/17 (F) | Square-Triangular Numbers | 31 | |
| Week 6 | 10/20 (M) | Pell Equations and Diophantine Approximation | 32, 33 |
| 10/22 (W) | Diophantine Approximation and Pell Equations | 33, 34 | |
| 10/24 (F) | Continued Fractions | 34, 47 (online Links to an external site.) | |
| Week 7 | 10/27 (M) | Continued Fractions | 47 (online Links to an external site.) |
| 10/29 (W) | Continued Fractions and Pell Equations | 48 (online Links to an external site.) | |
| 10/31 (F) | Exam II | ||
| Week 8 | 11/3 (M) | ||
| 11/5 (W) | |||
| 11/7 (F) | |||
| Week 9 | 11/10 (M) | Project Presentations | |
| 11/12 (W) | Project Presentations | ||
| 11/14 (F) | Project Presentations | ||
| Week 10 | 11/17 (M) | Project Presentations |