MATH 453 M16 - Elementary Theory of Numbers
Basic introduction to the theory of numbers. Core topics include divisibility, primes and factorization, congruences, arithmetic functions, quadratic residues and quadratic reciprocity, primitive roots and orders. Additional topics covered at the discretion of the instructor include sums of squares, Diophantine equations, continued fractions, Farey fractions, recurrences, and applications to primality testing and cryptopgraphy. Course Information: 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241 or equivalent.
Up to two 1-month extensions allowed; extensions cost $300 each. Center for Innovation in Teaching & Learning (CITL) restrictions and assessments apply, see https://online.illinois.edu.
Option 1Number of Required Visit(s): 0
Course Level: Graduate
Online Tuition: $416 (OCE Undergrad)
Online Tuition: $490 (OCE Grad)