| Week | Class | Section covered | Remarks |
| 1 | W Aug 25 | Introduction to the course; well-ordering principle | |
| F Aug 27 | Divisibility and prime | hw1 assigned | |
| 2 | M Aug 30 | primes; division theorem | |
| W Sep 1 | division theorem and gcd | ||
| F Sept 3 | gcd and euclidean algorithm | hw1 due, hw2 assigned | |
| 3 | M Sept 6 | fundamental theorem of arithmetics | |
| W Sept 8 | Fundamental theorem of arithmetic | ||
| F Sept 10 | Factoring integers | hw2 due, hw3 assigned | |
| 4 | M Sept 13 | Property of congruence | |
| W Sept 15 | properties of congruence | ||
| F Sept 17 | (no class) | hw3 due, hw4 assigned | |
| 5 | M Sept 20 | Euler phi-function | |
| W Sept 22 | Euler Theorem | ||
| F Sept 24 | Wilson's Theorem | hw4 due, hw5 assigned | |
| 6 | M Sept 27 | Applications of Wilson't Theorem | |
| W Sep 29 | Order of an integer modulo m | ||
| F Oct 1 | Order of integer modulo m and primitive roots | hw5 due | |
| 7 | M Oct 4 | Primitive roots | |
| W Oct 6 | Exam 1 |
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| F Oct 8 | Reviw o Exam 1 | ||
| 8 | M Oct 11 | Fall break | |
| W Oct 13 | Public key cryptosystem | ||
| F Oct 15 | Public key cryptosystem | extra credit problems due | |
| 9 | M Oct 18 | Review for extra credit problems | hw6 assigned |
| W Oct 20 | Linear Congruence | ||
| F Oct 22 | Chinese Remainder Theorem | hw6 due | |
| 10 | M Oct 25 | Quadratic congruences | |
| w Oct 27 | Quadratic residue/nonresidue modulo p and Legendre symbol | hw6 due, hw7 assigned | |
| F Oct 29 | Legendre symbol | no class | |
| 11 | M Nov 1 | Gauss Law of Quadratic reciprocity | |
| W Nov 3 | Applications of Law of Quadratic reciprocity | ||
| F Nov 5 | Solution to quadratic congruences | hw7 due | |
| 12 | M Nov 8 | Pythagorean triples | hw8 assigned |
| W Nov 10 | |||
| F Nov 12 | hw8 due | ||
| 13 | M Nov 15 | ||
| W Nov 17 | |||
| F Nov 19 | |||
| 14 | M Nov 22 | Exam 2 |
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| W Nov 24 | Thanksgiving break | ||
| F Nov 26 | Thanksgiving break | ||
| 15 | M Nov 29 | hw 11 due | |
| W Dec 1 | Final review | ||
| F Dec 3 | Final review | ||
| Exam | W Dec 8 | Final exam |