MATH 530 Abstract Algebra (Graduate)

This course is an in-depth study of topics from group, ring, and field theory, including properties of polynomials.  This provides the foundation for exploration of advanced topics such as Sylow Theory, field extensions, Galois Theory, and geometric constructions.  Connections will be made to topics covered in high school math classrooms.

Prerequisite:  An introductory course (or experience) in writing mathematical proofs (some frequently used proof techniques will be reviewed at the beginning of the course).