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MATH 3010: Abstract Algebra I

Credits: 3. Contact Hours: Lecture 3.

Prereq: MATH 1660 or MATH 1660H, MATH 3170, and grade of C- or better in MATH 2010
Basic properties of integers, divisibility and unique factorization. Polynomial rings over a field. Congruence. Introduction to abstract rings, homomorphisms, ideals. Roots and irreducibility of polynomials. Introduction to groups. Emphasis on proofs. (Typically Offered: Fall, Spring)