Units:3 Rings and fields. Quotient rings, ideals and ring homomorphisms. Polynomial rings and roots of polynomials. Field extensions and finite fields.
Prerequisites: MATH 320 with grade C- or better. Possible Instructional Methods:On-ground. Grading: A-F or CR/NC (student choice). Course Typically Offered: Spring ONLY
Student Learning Outcomes - Upon successful completion of this course students will be able to:
Apply the definitions, techniques and theorems of abstract algebra.
Creatively conjecture and rigorously write, analyze and critique proofs in abstract algebra.
Communicate mathematics related to abstract algebra effectively.
Explain the connections between abstract algebra and the high school curriculum.
