MATH 4000/6000

Modern Algebra and Geometry I

An introduction to abstract algebra. The course begins with arithmetic and congruence in the integers, and introduces modular arithmetic. The course then moves to the more general setting of rings and extends concepts from the integers to polynomial rings and other rings. The concepts of ideals and quotient rings are introduced. Groups are introduced, and normal subgroups and quotient groups appear as the analogues of ring-theoretic concepts.

Credit Hours:
3
Prerequisites:
(MATH 3000 or MATH 3500 or MATH 3500H) and (MATH 3200 or CSCI 2610)