Introduction to number theory and its applications. Topics: Euclid’s algorithm, divisibility, prime numbers, congruence of numbers, theorems of Fermat, Euler, Wilson, Lagrange; residues of power, quadratic residues, introduction to binary quadratic forms.
Course Number
UM152
Level
University
Semester
Spring
Credit Hours
5.00
Subject
Prerequisites
Precalculus with Trigonometry (OM013) and Advanced Problem Solving & Proof Techniques (OM050), or AP Calc AB (OM4AB) or AP Calc BC (OM4BC), or Single-Variable Calculus (OM045), or consent of instructor.
Additional Information
Prior experience reading and writing mathematical proofs and higher level coursework such as Calculus or Advanced Problem Solving and Proof Techniques (OM050)