| 1 | Divisibility | |
| 2 | Greatest Common Divisor | |
| 3 | More on Greatest Common Divisor and Division Algorithm | |
| 4 | Prime Factorization and Binomial | |
| 5 | Binomial Theorem and Congruences | Problem set 1 due |
| 6 | Congruences | |
| 7 | Residue Systems, Fermat's Little Theorem, Euler's Theorem, and Wilson's Theorem | |
| 8 | Review for Midterm | Problem set 2 due |
| 9 | Midterm 1 | |
| 10 | More on Factorization | |
| 11 | Chinese Remainder Theorem | Problem set 3 due |
| 12 | RSA Cryptography | |
| 13 | Hensel's Lemma | |
| 14 | Solving Equations Modulo Primes | |
| 15 | More on Solving Equations Modulo Primes | |
| 16 | Quadratic Residue Symbol | |
| 17 | More on Quadratic Residues | Problem set 4 due |
| 18 | More on Quadratic Residues (cont.) | |
| 19 | Quadratic Reciprocity | |
| 20 | More on Quadratic Reciprocity | Problem set 5 due |
| 21 | Continued Fractions | |
| 22 | More on Continued Fractions | |
| 23 | More on Continued Fractions (cont.) | Problem set 6 due |
| 24 | More on Continued Fractions (cont.) | |
| 25 | More on Continued Fractions (cont.) | |
| 26 | More on Continued Fractions (cont.) | Problem set 7 due |
| 27 | More on Continued Fractions (cont.) and Solving Equations | |
| 28 | Midterm 2 | |
| 29 | Curves in Projective Space | |
| 30 | More on Curves in Projective Space and Statement of Falting's Theorem (Mordell Conjecture) | |
| 31 | Singular Points and Smoothness | |
| 32 | Elliptic Curves | |
| 33 | More on Elliptic Curves | |
| 34 | Abelian Groops, Torsion Points and Finite Generation of Group of Torsion Points | Problem set 8 due |
| 35 | Mazur's Theorem and Calculating the Torsion Subgroup | |
| 36 | More Calculations | |
| 37 | Advanced Topics | Problem set 9 due |
