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MATH 417 C13 - 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:

During early registration, this class is restricted to majors specifically requiring the course. Restrictions will be removed during business hours on December 10, 2020. Students not already in those majors are welcome to register as soon as the restrictions have been removed. Some seats are reserved for off-campus transfer students in majors requiring this course. Any remaining seats would be released on the Friday before spring classes begin. Note: Attendance may be required at the scheduled meeting times.

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 3

Term(s): Spring


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