MATH3310 · Mathematics

Introduction to Abstract Algebra

Morrissey College of Arts & Sciences

Students may not take both MATH3310 and MATH3311. This course studies four fundamental algebraic structures: groups, including subgroups, cyclic groups, permutation groups, symmetry groups and Lagrange's Theorem; rings, including sub-rings, integral domains, and unique factorization domains; polynomials, including a discussion of unique factorization and methods for finding roots; and fields, introducing the basic ideas of field extensions and ruler and compass constructions.