### Course Description :

This course is an introduction to number theory, the brunch of mathematics which deals with the properties of numbers in general and integers in particular. It is also one of the oldest branches of mathematics, and one of the largest. The prerequisite is "Math 347", or another course on proof techniques and proof writing, such as CS 173; in particular, you should know how to properly write up a mathematical argument, and be familiar with standard proof techniques, such as induction and proof by contradiction.

**Syllabus**: We will cover the first four chapters of the Strayer text essentially in full: Divisibility, Congruences, Arithmetic functions and Quadratic residues. Then, we shall select topics from the remainder of the text, depending on the time available and student interest.