Number Theory – Mathematics 420 – Homework Problems
Brown University – Spring 2010
Professor Joseph Silverman
| # | Assigned | Due | Exercises | Additional Information |
|---|---|---|---|---|
| 1 | W 1/27 | W 2/3 | Ch. 1: #1.1, 1.2, 1.3, 1.4 |
Read Chapter 1. No Class on Friday, Jan 29 |
| 2 | W 2/3 | W 2/10 |
Ch. 2: # 2.1, 2.5, 2.7 Ch. 3: # 3.2 |
Read Chapters 2 and 3 |
| 3 | W 2/10 | W 2/17 |
Ch. 5: # 5.1(b), 5.4 Ch. 6: # 6.1(b), 6.2(c), 6.6(a,b) Ch. 7: # 7.2, 7.3(d), 7.4, 7.5 |
Read Chapters 4, 5, 6, 7 |
| 4 | W 2/17 | W 2/24 | Ch. 8: # 8.2, 8.3(c,d), 8.5(a,b), 8.6(a,b), 8.8 |
Read Chapter 8 (and start 9). Be sure to download the addendum to Chapter 8. |
| Monday, Feb 22 | University Holiday | |||
| 5 | W 2/24 | W 3/3 |
Ch. 9: # 9.1(a,b), 9.2, 9.4 Ch. 10: # 10.1, 10.2 |
Read Chapters 9 and 10. |
| Friday, February 26 | First Hour Exam — Solutions | |||
| 6 | W 3/3 | W 3/10 |
Ch. 11: # 11.1, 11.2, 11.3, 11.5(b), 11.10 Ch. 12: # 12.1, 12.2 |
Read Chapters 11, 12, 16, 17, 18 |
| 7 | W 3/10 | F 3/19 |
Ch. 16: # 16.1, 16.5 (show all details) Ch. 17: # 17.1, 17,3, 17.5(a,b) Ch. 18: # 18.1 For Ch. 17 and 18, you may use a computer to calculate powers and inverses modulo m. Click here for an online mod m calculator. |
No Class on Wednesday, March 17 Read Chapters 23 and 24 (revised versions, click to download) and Chapter 25. |
| 8 | F 3/19 | W 3/24 |
Ch. 23: # 23.1 Ch. 24: # 24.1, 24.3, 24.4, 24.5 |
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| Mon Mar 29 - Fri Apr 2 | University Holiday | |||
| Wednesday, April 7 | Second Hour Exam — Solutions | |||
| 9 | W 3/24 | F 4/9 | Ch. 25: # 25.1(a,b), 25.2, 25.4, 25.6, 25.7 | Read Chapter 29 |
| 10 | F 4/9 | W 4/14 |
Ch. 29: # 29.1, 29.3(a), 29.4 Ch. 30: # 30.1, 30.4(a) Ch. 31: # 31.3(a,b,e) |
Read Chapters 29, 30, 31 |
| 11 | W 4/14 | W 4/21 |
Ch. 32: # 32.1(a,b,c) Ch. 36: # 36.1(a,d), 36.3, 36.4(a), 36.7(a) Ch. 37: # 37.1(a,b), 37.4, 37.15(a,c) Click to download solutions to HW #11 |
Read Chapters 32, 36, 37 |
| 12 | W 4/21 | F 4/30 |
Ch. 39: # 39.1(a,b), 39.5, 39.6, 39.7 Ch. 40: # 40.1(a,b), 40.4(a,b), 40.5(c) Click to download solutions to HW #12 (Available starting Friday afternoon.) |
Read Chapters 39, 40 |
| 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 11:00-11:50am,
Wilson 101 Office Hours 2:30-3:30pm, Kassar 202 |
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| Thursday, May 13 | Office Hours 1:00-2:00pm Kassar 202 | |||
| Saturday, May 15
2:00-5:00pm |
Final Exam, Barus-Holley 168
Exam Group 17 |
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