General Information (Catalog Description)
Priorities of the natural numbers, congruences, disophantine equations, and elementary arithmetical functions.
Prerequisite: CALC3 and Math 300 or permission of the department.
Math 300 (Mathematical Reasoning) or a very good background in mathematical proof is required. Students with a strong record in their mathematics courses who have not taken Math 300, but wish to take Number Theory, should request a prerequisite override from the Head Advisor (advisor@math.rutgers.edu).
Suggested Textbook
Instructors in 356 sometimes use a different text and follow a different syllabus than the one shown.
Textbook: For current textbook please refer to our Master Textbook List page
Suggested Syllabus
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.
Schedule of Sections:
Previous Semesters
- Fall 2016 : Prof. Tunnell
- Fall 2013 : Doron Zeilberger
- Summer 2011 : Jerrold Tunnell
- Fall 2010 : Anders Buch
- Summer 2010 : Thom Tyrrell
- Fall 2009 : Prof. Weibel
- Summer 2009 : L. Medina
- Fall 2008 : Prof. Munshi
- Summer 2008 : Michael Weingart
- Fall 2007 : Prof. Sahi
- Fall 2006 : Prof. Sills (T Th 1:40-3 PM, SEC-217)
- Fall 2001 : Prof. Miller
- Summer 2000 : One section taught by David Nacin. A lecture schedule is available.
- Fall 1998 : Prof. Bumby (One section.)
