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MATH 417 F3M - Intro to Abstract Algebra

Campus: Urbana-Champaign

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 ASRM 406, MATH 415 together with one of MATH 347, MATH 348, CS 374; or consent of instructor.

Special Instructions:

This section is reserved for students who were in a C2M (Merit) section of Math 347; for secondary education students; and for Math majors who were previous participants in the Merit Workshop program. Please contact mathadvising@illinois.edu with name, netid, and UIN if you are in one of these groups and wish to register. This section only has Math 347 as a prerequisite, not Math 416. Students considering graduate school in Mathematics should strongly consider a different section.

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 3

Term(s): Fall


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