MATH 417

Credit: 3 OR 4 hours.

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.

4 hours of credit requires approval of the instructor and department with completion of additional work of substance. 3 or 4 undergraduate hours. 3 or 4 graduate hours. Prerequisite: MATH 314 or MATH 347 or CS 374.