MATH 131: Exploration in Number Theory
Fall 2013 Course Information Sheet
Professor: Lauren Rose, Albee 305, firstname.lastname@example.org
Class schedule: T/Th 8:30 - 9:50 am, Hegeman 204
Textbook: A Friendly Introduction to Number Theory, by Joseph Silverman, 4th Edition. The first 6 Chapters are online at http://www.math.brown.edu/~jhs/frint.html
Exams: There will be a midterm and a final exam. Your grade will be determined roughly by homework(30%), midterm(30%), final exam(30%), and attendance and class participation(10%).
Assignments: Homework will be assigned and graded weekly. Tentative Homework Assignments are below. (assignments in grey are subject to change)
PART I: Up until the Midterm
PART II: Homework After the Midterm
9. HW 8. 9.1, 9.4
10. HW 9. 10.2, 11.1
11. HW 10. 1. 11.5
2. The odometer in a car starts over when it reaches 100,000. As an odometer check, a special counter measures the miles a car travels modulo 7. When the odometer reads 49335, and the mod 7 counter reads 3, how many miles has the car gone?
3. Chinese Generals counted troops remaining after battle by lining them up in rows of equal length and counting the number left over each time. The general started with 1200 soldiers and reassembled them after the battle. When they lined up in rows of 5, there were 3 left over. When in rows of 6, there were also 3 left over. When in rows of 7, there was 1 left over, and when they lined up in rows of 11, there were none left over. How many soldiers remained after the battle?
12. HW 11: 16.1,, 16.5
13. HW 12: 17.1, 17.2a
14. HW 13: 18.1 RSA Handout
15. HW 14: 18.4, code response
16. Final exam and Final Exploration