Modern Algebra and Geometry I

Credit Hours: 
3

Abstract algebra, emphasizing geometric motivation and applications. Beginning with a careful study of integers, modular arithmetic, and the Euclidean algorithm, the course moves on to fields, isometries of the complex plane, polynomials, splitting fields, rings, homomorphisms, field extensions, and compass and straightedge constructions.

Prerequisites: 
MATH 3000 or MATH 3500 or MATH 3500H and MATH 3200 or MATH 3610