Topological spaces, products, quotients, subspaces, connectedness, compactness, local compactness, separation axioms, convergence.

Algebraic structures, quotient structures, substructures, product structures, groups, permutation groups, groups with operators, and the Jordan-Holder theorem.

Review of finite dimensional linear algebra, the rank of a matrix, systems of linear equations, determinants, characteristic and minimal polynomials of a matrix, canonical forms for matrices, the simplicity of the ring of linear mappings of a finite dimensional vector space, the decomposition of a vector space relative to a group of linear mappings and selected topics of a more advanced nature.

Real and complex numbers, sequences and series, continuity, differentiation, integration, and uniform convergence.

A seminar for teaching assistants on the basics of teaching mathematics at the college level as well as use of appropriate technology. Includes topics such as syllabus construction, lesson planning, grading assignments, web pages, typesetting mathematics with LaTeX. Required of all new graduate teaching assistants in mathematics.

Reading course for graduate students in mathematics. May be repeated to a maximum of nine credits.

Reading course for graduate students in mathematics. May be repeated to a maximum of nine credits.

Reading course for graduate students in mathematics. May be repeated to a maximum of nine credits.

Reading course for graduate students in mathematics. May be repeated to a maximum of nine credits.

Reading course for graduate students in mathematics. May be repeated to a maximum of nine credits.