This course in abstract algebra (modern algebra) introduces the abstract concepts of mapping, operation, equivalence, congruence, and divisibility. Rings and integral domains will be discussed briefly, and the fundamental concept of groups will be developed thoroughly. Examples (such as permutation and symmetry groups) will be used to illustrate abstract notions (such as subgroup, coset, and isomorphism) as these are developed. The study of abstract ideas of number theory will be enhanced by analyzing concrete examples of abstract ideas. Learning Outcome: Self-knowledge. Prerequisite: MATH 104. Offered every other year.
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