MAEN 5140 Topics in Number Theory

This is an introductory course in Number Theory. The course begins with the basic notions of integers and sequences, divisibility, and mathematical induction. It also covers standard topics such as Prime Numbers; the Fundamental Theorem of Arithmetic; Euclidean Algorithm; the Diophantine equations; Congruence Equations and their Applicaitons (e.g. Fermat’s Little Theorem); Multiplicative Functions (e.g. Euler’s Phi Function); Application to Encryption and Decryption of Text. Prerequisite(s): MAEN 5100
Credits: 3.0