MATH 417 ON2 - Intro to Abstract Algebra

Description:

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 MATH 410, MATH 415 together with one of MATH 347, MATH 348, CS 374; or consent of instructor.

Special Instructions:

This 4-hour section is restricted to graduate students only. Additional work of substance is required for this section, as assigned by the instructor. To request approval to register, please email rmccrthy@illinois.edu with "Summer Math 417 4-hour request" in the subject line, and include name, netid, UIN, and reason for needing to take the class for 4 hours.

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 4

Term(s): Summer