Catalogue 2012 - 2013

MAMT 554 Number Theory


3 cr.


MAMT 550 or permission of the department.

Course Description

This course explores patterns and relationships between numbers, beginning with basic properties of the integers first encountered in elementary school: even and odd numbers, clock arithmetic, and divisibility tests. Generalizations of these topics, such as modular arithmetic and congruences, will be covered, along with such topics as the Euclidean algorithm, prime factorization, the greatest common divisor, linear Diophantine equations, the Chinese Remainder Theorem, and Euler's phi-function.