Math 3003 (Theory of Numbers) – Spring 2017


Instructor: Brian Rider, Wachman 608, E-mail:

Class meets Tuesdays and Thursdays 9:30 - 10:50. in Wachman 406.

Office Hours are Mondays 12:00-1:00 and Thursdays 11:00 - 1:00.

TA: Khanh Le (Wachman 519) will hold an office hour on Tuesdays 11:00-12:00.

The book is "Elementary Number Theory: Primes, Congruences, and Secrets", by William Stein. This is available as a free download!

Rough description: An introduction to Number Theory: properties of prime numbers, ring of integers modulo n, continued fractions, quadratic reciprocity, and applications to cryptography. Hopefully we'll cover the majority of the book.

The book's subtitle is "a computational approach", and we will make use (on problem sets, etc.) of the open source mathematical software Sage. See this site from which you can either download Sage or access it directly online.

Schedule of topis (i.e., where we are in the text) which I'll update as we go can be found here here.

Your grade will be comprised of (more or less) weekly problem sets (20%), two in-class tests (25%, tentaively scheduled for February 21 and April 11), and a final (30%, 8:00-10:00 on May 4th).

News flashes

***Due to the snow that wasn't: Test 1 moved to 2/23***

***Test 2 moved up to April 6***

Problem sets will be posted below this line, due Thursdays.

PS1 due 1/26.

PS2 due 2/2.

PS3 due 2/9 (extended to 2/16).

PS4 due 2/16. (extended to 2/21)

PS5 due 3/2.

PS6 due 3/9.

PS7 due 3/23.

PS8 due 3/30.

PS9 due 4/6.

PS10 due 4/20.

PS11 due 4/27.