| Reading | Topics | Homework | Annoucements | |
|---|---|---|---|---|
| Week 1 | Chap 1.1, 1.2. | The set of all integers; mathematical induction. |
Homework 1 | |
| Week 2 | Chap 1.3, 1.4. | Division algorithm and divisibility; basis representation theorem; greatest common divisor. |
Homework 2 | Quiz 1 |
| Week 3 | Chap 1.6, 2.1-2.3. | Bézout's lemma; The Euclidean algorithm. |
Homework 3 | Quiz 2 |
| Week 4 & 5 | Chap 2.3, 2.4. | Prime numbers; Fundamental Theorem of Arithmetic. |
Homework 4 | Quiz 3 |
| Week 6 | Chap 2.5. | Least common multiple; Solving linear Diophantine equations. | Homework 5 | Quiz 4, Quiz 5 |
| Week 7 | Chap 3.1, 3.2, 3.3. | Fundamental of congruences; Linear congruence; Reduced residue set; |
Homework 6 | Quiz 6 |
| Week 8 | Chap 3 | Mid-Exam; modulo inverses; |
Mid-exam (Monday) | |
| Week 9 | Spring break | |||
| Week 10 | Chap 4 | Theorems of Fermat, Euler, and Wilson. | Homework 7 | Quiz 7 |
| Week 11 | Chap 4. | Chinese Remainder Theorem. | Homework 8 | Quiz 8 |
| Week 12 | Chap 4. | Multiplicative arithmetic functions: Euler's totient, number of divisors, sum of divisors. |
Homework 9 | Quiz 9 |
| Week 13 | Chap 5. | Order of integers modulo n. | Homework 10 | Quiz 10 |
| Week 14 | Chap 5. | Primitive roots. | Homework 11 | Quiz 11 |
| Week 15 | Chap 5. | Quadratic residues. Legendre and Jacobi symbols. | Quiz 12 | |
| April 22 (Mon) | Project presentation. | |||
| May 1 (Wed) | Final exam: May 1, Wed, 10:00 - 12:00. |