Abstract Algebra

This highly abstract course will be directed toward the axiomatic development of basic algebraic systems. Both mathematical and nonmathematical models will be used to illustrate these systems. Topics will be chosen from the theories of groups, rings, fields, and matrices. Although there are no prerequisites and no prior experience with the material is necessary, some mathematical sophistication is essential. Individual weekly conferences will be used to reinforce the class work when necessary and for independent study projects otherwise.