| TOPICS | ASSIGNMENTS | SOLUTIONS |
|---|---|---|
| Binomial Theorem |
Problem Set 1 Prove Theorem 1.1 in Book Do Exercises: 1.2: 2, 13, 30, 35, 44, 47, 50 1.3: 4, 8, 9, 11, 36, 37 Note: Problems 1.3: 36 and 37 may be handed in with Problem Set 2. | (PDF) |
| More on Congruences |
Problem Set 2 1.3: 36, 37 (again) 1.4: 4, 8 2.1: 5, 6, 10, 12 | (PDF) |
| More on Euler's Little Theorem |
Problem Set 3 2.1: 17, 23, 45, 46 2.2: 3, 5abc, 14, 17 | (PDF) |
| Hensel's Lemma |
Problem Set 4 2.3: 3, 12, 15, 21, 44 2.4: 6, 16 2.5: 4, 5 | (PDF) |
| Finite Fields |
Problem Set 5 2.6: 8, 10 2.7: 3, 10 2.8: 13, 14, 22 3.1: 3, 5, 7 | (PDF) |
| More on Quadratic Reciprocity |
Problem Set 6 3.1: 13, 15, 18, 23, 3.2: 4, 8, 13, 18, 22 | (PDF) |
| More on Continued Fractions |
Problem Set 7 3.3: 3, 7, 14, 20 7.1: 1, 5 7.2: 1 7.3: 3, 6 | (PDF) |
| Elliptic Curves | Problem Set 8 (PDF) | |
| Finite Generation of Group of Torsion Points | Problem Set 9 (PDF) |
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