MATH 131: Exploration in Number Theory

Fall 2013 Course Information Sheet

Professor:  Lauren Rose, Albee 305, rose@bard.edu

Class schedule:  T/Th 8:30 - 9:50 am, Hegeman 204

 My office hours: T/Th 10-11:30,  W: 2-3pm, and by appointmentTutor: Galen Dorpalen-Barry, gd0480@bard.eduTutor Office hour: M: 4:30-5:30pm, Albee 3rd floor, and by appt.Math Study Room: Sun-Thurs, 7-10pm in RKC 111.

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

1. HW 1.  Handout, Film response
2. HW 2.  1.3, 1.4
3. HW 3.  (2.6 - in class), 2.3
4. HW 4.  5.1, 5.4
5. HW 5.  6.1, 6.2
6. HW 6.  7.5
7. HW 7.  8.3 due Tuesday, 8.5, 8.6 due Monday noon
8. Review Tuesday, Midterm Thursday Ch 1-8.

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