Mathematics 356: Theory of Numbers
Rutgers University, Fall 2005
Anders Buch (asbuch at math dot rutgers period edu)
TTh 1:40 - 3:00 in SEC 217
Text:
Kenneth H. Rosen, Elementary Number Theory and Its Application
(5th edition), Addison Wesley, ISBN 0-321-23707-2.
Office Hours:
Tuesday 3:00 - 4:00 and Wednesday 4:00 - 5:00 in Hill Center 234.
Grading:
- Midterm 1, September 27, 20%
- Midterm 2, October 27, 20%
- Final exam, Tuesday, December 20, 8-11 am, in SEC 217, 40%
- Weekly Homeworks, 20% total. The lowest two homework scores will be
dropped.
Homework Policy:
1) Late homework is not accepted.
2) It is fine to discuss the problems with others, but writeups must
be individual. If you have received help for solving a problem, then
cite your source(s).
Assigned homework sets:
Homework set 1 due September 15 in class
(pdf, ps).
4th edition problem numbers.
Homework set 2 due September 22 in class
(pdf, ps).
Homework set 3 due October 6 in class
(pdf, ps).
Homework set 4 due October 13 in class
(pdf, ps).
Homework set 5 due October 20 in class
(pdf, ps).
Homework set 6 due November 3 in class
(pdf, ps).
Homework set 7 due November 10 in class
(pdf, ps).
Homework set 8 due November 17 in class
(pdf, ps).
Homework set 9 due December 1 in class
(pdf, ps).
Homework set 10 due December 8 in class
(pdf, ps).
Syllabus:
Chapter 1: all
Chapter 2: all
Chapter 3: 3.1-3.6
Chapter 4: 4.1-4.4, 4.6, and the matrix-free part of 4.5.
Chapter 5: 5.1 and 5.3.
Chapter 6: all
Chapter 7: all
Chapter 8: 8.1 and 8.4.
Chapter 11: 11.1 - 11.3. We did not cover Pepin's test in 11.2.
In addition we skipped the proofs of 11.2 and 11.3.
Homework: The assigned homework problems and their solutions
are also part of the syllabus.