Tentative schedule of topics and problem sets:
| Class | Date | Topics | Problem Sets/Afternoon Activities |
| 1 | Tuesday July 13 |
Introduction to Number Theory Ch. 1: The Four Numbers Problem Ch. 2: Primes and Divisibility |
Ch. 1, 2 Problem Sets Supplemental Problem Set on elementary properties of divisibility (challenge problems) |
| 2 | Wednesday July 14 |
Ch. 3: Proof by Contradiction Ch. 4: Mathematical Induction Ch. 5: The Greatest Common Divisor and the Euclidean Algorithm |
Ch. 3, 4, 5 Problem Sets Supplemental Problem Set on proof by contradiction (review problems) |
| 3 | Thursday July 15 |
Ch. 6: Prime Factorization and the Fundamental Theorem of Arithmetic Ch. 34: Conway's Rational Tangles |
Ch. 6, 34 Problem Sets (If time allows) Introduce modular arithmetic (Ch. 7) and prove the basic properties (1-3) in Theorem 7.1. |
| 4 | Friday July 16 |
Ch. 7: Introduction to Congruences and Modular Arithmetic Ch. 33: The 5 Card Trick of Fetch Cheney |
Ch. 7 Problem Set Ch. 8 Problem Set 1 Ch. 22 Problem Set Work on choosing a final presentation topic |
| 5 | Monday July 19 |
Final Presentation Topic Due Ch. 8: Applications of Modular Artithmetic Problem-Solving with Congruences and Modular Arithmetic |
Ch. 8 Problem Set 2 |
| 6 | Tuesday July 20 |
Ch. 10: Fermat's Little Theorem Wilson's Theorem |
Ch. 10 Problem Set |
| 7 | Wednesday July 21 |
Ch. 11: Euler's Phi Function and the Euler-Fermat Theorem | Ch. 11 Problem Set |
| 8 | Thursday July 22 |
Ch. 13: Squares Modulo p and Quadratic Residues Ch. 28: Pick's Theorem |
Ch. 13 Problem Set Ch. 28 Problem Set |
| 9 | Friday July 23 |
Ch. 14: Introduction to Quadratic Reciprocity Ch. 29: Farey Sequences and Ford Circles Ch. 30: The Card Game SET |
Ch. 14 Problem Set Ch. 29 Problem Set Ch. 32: Mathematical Games Movie: N is a Number Ch. 30 Problem Set |
| 10 | Monday July 26 |
Ch. 15: Quadratic Reciprocity Ch. 29: Farey Sequences and Ford Circles Ch. 26: Geometric Numbers |
Ch. 15, 26, 29 Problem Sets |
| 11 | Tuesday July 27 |
Ch. 25: Continued Fractions Ch. 17: Fibonacci Numbers |
Ch. 25, 17 Problem Sets |
| 12 | Wednesday July 28 |
Ch. 27: Square-Triangular Numbers and Pell's Equation Ch. 16: Diophantine Equations Final Presentations |
Ch. 27, 16 Problem Sets |
| 13 | Thursday July 29 |
Final Presentations Ch. 31: Magic Squares Ch. 35: Problem-Solving Using Invariants and Monovariants |
Ch. 35 Problem Set Ch. 36, 37 Problem Sets |
| 14 | Friday July 30 |
Final Presentations Number Theory Contest--The Dash |
SET Tournament Movie: Hard Problems |