| Week | Monday | Wednesday | Thursday |
|---|---|---|---|
| 1 (January 4-8) | Preliminaries (1.1) | Divisibility (1.2) | Euclid's Algorithm, gcd (1.3) |
| 2 (January 11-15) | Diophantine Equations (1.5) | Primes, Unique Factorization (1.4) | Student Activity 1 |
| 3 (January 18-22) | Holiday | Euler phi-function (1.7) | Theorems of Euler and Fermat (1.7) |
| 4 (January 25-29) | Congruences (2.1) | Solutions to Linear Congruences (2.1, up to Theorem 5) | Inverses, Chinese Remainder Theorem (2.1) Student Activity 2 (Section 2.2) |
| 5 (February 1-5) | The Ring Z_m (2.4) | Rings (2.5) | Rings, Integral Domains, Fields (2.5) |
| 6 (February 8-12) | The Field of Complex Numbers (2.6) | The Field of Complex Numbers (2.6) | Student Activity 3 (Handout) |
| 7 (February 15-19) | Polynomial Arithmetic (3.1) | Euclidean Algorithm for Polynomials (3.2) | midterm test |
| 8 (February 22-26) | Polynomials defined over a field, Unique Factorization (3.2) | Factoring in Z[x] and Q[x] (3.4) | Student Activity 4 (Section 3.3) |
| 9 (February 29-March 4) | Fundamental Theorem of Algebra (3.5) | Polynomial Congruences (3.7) | Polynomial Congruences, Extension Field (3.7) |
| 10 (March 7-11) | Introduction to Groups (4.1) | Symmetric Group (4.2) | Student Activity 5 |
| 11 (March 14) | Review | no class | no class |