## MAT 514-01 (Theory of Numbers independent study)

An introductory course to both multiplicative and additive number theory. Divisibility, prime numbers, congruencies, linear and nonlinear Diophantine equations (including Pell's equation), quadratic residues, number-theoretic functions, and other topics.

- Pr. grade of at least C in MAT 311 and permission of instructor

### Documents (pdf)

### Useful links

- The textbook for the course is Elementary Number Theory: Primes, Congruences, and Secrets by William Stein.
- Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.