MATH 417 M16 - Intro to Abstract Algebra
Fundamental theorem of arithmetic, congruences. Permutations. Groups and subgroups, homomorphisms. Group actions with applications. Polynomials. Rings, subrings, and ideals. Integral domains and fields. Roots of polynomials. Maximal ideals, construction of fields. 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: Either MATH 416 or one of ASRM 406, MATH 415 together with one of MATH 347, MATH 348, CS 374; or consent of instructor.
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)