Math 509: Abstract Algebra for Teachers (3)
(Prerequisite: Bachelor’s degree plus eligibility for licensure in mathematics or science, or senior status
as a mathematics major, or permission of department) SU.
Review of real and complex numbers, sets, functions, induction, and well ordering. Introduction to semi-groups, groups, rings, homomorphism, and isomorphism. Elementary theory of groups, elementary theory of
rings. As time permits, topics will include factor groups, quotient rings, cyclic groups, finite groups, abelian groups, polynomial rings, division rings, and fields. With written departmental approval, seniors may take
courses numbered 500-599 for either undergraduate or graduate credit. Designation of credit as undergraduate or graduate must be made at registration. Freshmen, sophomores, and juniors may not take 500-level courses.