Number Theory – Mathematics 156 – Homework Problems
Brown University – Spring 2010
Professor Joseph Silverman
| # | Assigned | Due | Exercises | Additional Information |
|---|---|---|---|---|
| 1 | W 1/27 | W 2/3 |
Online A1, A2, A3, A4.
Chapter 1: # 9, 16, 21, 24, 25, 26, 30. |
A1–A4 are review of Math 153. Just briefly sketch the solutions. Read Chapter 1. No Class on Friday, Jan 29 |
| 2 | W 2/3 | W 2/10 | Chapter 2: # 6, 9, 10, 11, 16, 20, 25, 26(a) | Read Chapter 2 |
| 3 | W 2/10 | W 2/17 |
Chapter 3: # 5, 8, 9, 16, 23 Chapter 4: # 1, 8, 10, 11, 22 |
Read Chapters 3 and 4. |
| 4 | W 2/17 | W 2/24 |
Chapter 4: # 6, 7. (Hint: Use quadratic reciprocity.) Chapter 5: # 1 (only (5|7)), 2, 4, 10, 14, 16 |
Read Chapter 5, Sections 1 and 2. Start reading Chapter 7. |
| Monday, Feb 22 | University Holiday | |||
| 5 | W 2/24 | W 3/3 | Chapter 7: # 6, 7, 10 (#F=q), 15, 16, 18, 21, 24 | Read Chapter 7. |
| 6 | W 3/3 | F 3/12 | Online: B.1, B.2, B.3, B.4, B.5, B.6, B.7 | --- |
| Wednesday, March 10 | Mid-Term Exam (in class) Click to download solutions. | |||
| * | F 3/12 | F 3/19 | Research Project (click to download) | No Class on Wednesday March 17 |
| 7 | F 3/12 | W 3/24 |
Chapter 17: # 1, 2, 13, 14, 15 Online: C.1, C.2, C.3 |
No Class on Wednesday March 17 Read Chapter 17, Sections 1, 2, 4, and 5 |
| 8 | W 3/24 | W 4/7 | Online: D.1, D.2, D.3, D.4 | --- |
| Mon Mar 29 - Fri Apr 2 | University Holiday | |||
| 9 | W 4/7 | W 4/14 |
Online: E.1, E.2, E.3, E.4, E.5, E.6
Online: F.1, F.2, F.3 |
Read chapter on p-adic Numbers.
(click to download) |
| 10 | W 4/14 | W 4/21 |
Online: F.1
Chapter on p-adic Numbers: # 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 1.9, 1.10 |
Read chapter on p-adic Numbers.
(click to download) |
| 11 | W 4/21 | F 4/30 | Chapter 10: # 1, 2, 6, 7, 8, 12, 13 | Read Chapter 10, Sections 1 and 2 |
| Friday, April 30 | Last Day of Regular Class | |||
| Mon, May 3 – Fri, May 7 | Reading Period – No class and no office hours | |||
| Monday, May 10 | Review Session 10:00-10:50am,
Wilson 103 Office Hours 1:30-2:30pm, Kassar 202 |
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| Thursday, May 13 | Office Hours 11:00-noon, Kassar 202 | |||
| Monday, May 17
9:00am-noon |
Final Exam, Barus-Holley 159
Exam Group 3 |
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