Fall 2012: Math 575, Introduction to the theory of numbers

Outline: This course will give an introduction to number theory from a modern viewpoint. The text to be used is Kenneth Ireland and Michael Rosen, A Classical Introduction to Modern Number Theory, Springer GTM 84, 1990.

Grade: 60 % of the grade will be based on homework, 20 % on class participation and 20 % based on the final exam. Homework is generally due every Friday. You are welcome to discuss the homework problems with other students, but please write up your homework on your own.

Homework Assignments:

HW 1. Due Wed, 12 Sep. Chapter 1 (all exercises).

HW 2. Due Wed 19 Sep. Chapter 2 (all exercises) and Chapter 3, Ex. 1-15.

HW 3. Due Wed 26 Sep. Chapter 3, Ex. 16-26 and Chapter 4 (all exercises)

HW 4. Due Fri 5 Oct. Chapter 5 Ex. 1-25.

HW 5. Due Fri 12 Oct. Chapter 6, Ex. 1-20, 23.

HW 6. Due Fri 19 Oct. Chapter 7, Ex. 1-20.

HW 7. Due Fri 26 Oct. Chapter 8, Ex. 1-15.

HW 8. Due Fri 9 Nov. Chapter 9, Ex. 2-5,7,8,10,14,16,23-26.

HW 9. Due Fri 16 Nov. Click on this Link

HW 10. Due Mon 26 Nov. Chapter 12, Ex. 1-16.

HW 11. Due Mon 3 Dec. Chapter 13, Ex. 1,2,3,5,6,8,10,11,14,15.

HW 12. Due Wed 12 Dec. (But you can turn it in any time during the week of 10-14 Dec) Click on this Link