MATH 444 - Introduction to Abstract Algebra

(3 units)

Prerequisites: MATH 233 and MATH 247 and a grade of “C” or better in at least one of MATH 341 or MATH 347.
Groups, subgroups, cyclic groups, symmetric groups, Lagrange’s theorem, quotient groups. Homomorphisms and isomorphisms of groups. Rings, integral domains, ideals, quotient rings, homomorphisms of rings. Fields. Writing proofs.

(Lecture 3 hrs.)