Math 356, Theory of Numbers
Textbook and Syllabus
The text, starting in the Summer Semester 2000, is: Kenneth H. Rosen; Elementary Number Theory and Its Applications (sixth edition); Addison Wesley, 2011 (768 pp.); (ISBN: 0-321-50031-8; ISBN13: 9780321500311)
A suggested syllabus follows. However, anything posted on a page for the current semester supersedes this syllabus.
| Lecture Number | Section in Text | Suggested Exercises |
|---|---|---|
| 1 | 1.2 | 8, 12, 20, 30. |
| 1.3 | 6, 8. | |
| 2 | 1.4 | 4, 8, 20, 22. |
| 3 | 2.1 | 2, 6, 12, 28. |
| 4 | 2.2 | 4, 6, 12. |
| 2.3 | 2, 4, 14, 18. | |
| 5 | 3.1 | 2, 4, 6, 8, 12, 14, 16, 20. |
| 6 | 3.2 | 4, 6, 8, 14, 22. |
| 3.3 | 2, 8, 9, 10, 14, 15. | |
| 7 | 3.4 | 2, 4, 8, 10, 14, 15, 16. |
| 8 | 3.6 | 2, 4, 8, 14. |
| 9 | 4.1 | 4, 5, 10, 12, 14, 16, 22, 28. |
| 10 | 4.2: | 2, 6, 8, 10, 16, 18. |
| 11 | 4.3 | 2, 4, 6, 8, 34. |
| 12 | 4.4 | 2, 4, 6, 8, 10. |
| 4.6 | 2. | |
| 13 | exam | |
| optional | 5.1 | 2, 4, 12, 24. |
| 5.2 | 2, 6. | |
| 5.5 | 2, 6, 8, 12, 14, 16. | |
| 14 | 6.1 | 2, 6, 8, 10, 14, 20. |
| 6.2 | 8, 12, 16d. | |
| 15 | 6.3 | 1(all), 2, 4, 16, 18. |
| 16 | 7.1 | 2(all), 4(all), 6, 8, 12, 14, 34. |
| 17 | 7.2 | 2(all), 4, 6c, 8, 10, 12. |
| 18 | 7.3 | 4, 8, 10, 14. |
| 7.4 | 2 (all), 6, 8, 10, 13, 14. | |
| 19 | 11.1 | 2, 4, 5, 11, 12, 14. |
| 20 | 11.2 | 1(all), 2, 4. |
| 21 | 11.3 | 1(all), 2, 5, 6. |
| 22 | 9.1 | 2(all), 4(all), 6, 8, 14. |
| 9.2 | 1(all), 2(all), 4, 6, 8, 12. | |
| 23 | 9.3 | 2, 4(all), 6(all), 8(all), 10. |
| 24 | 12.1 | 1(all), 6(all), 8, 9, 12. |
One midterm exam and a final exam seem appropriate for this course. A selection of the optional topics in the middle of the table may be inserted if the earlier material is completed before an exam can be given. Topics listed for lecture 14 should not be introduced before the midterm exam. This syllabus allows two weeks at the end of the course for additional topics. Such topics should be dictated by the interest of the class.
Page started by RTB. Mail to: bumby@math.rutgers.edu
Last updated: September 03, 2000