Completion of the core is required of all students enrolled in the Master of Science in Mathematics program, regardless of emphasis. The content of these courses makes up the majority of the comprehensive exam required of all students prior to graduation. This course continues exploring the topics introduced in Math 312.
Topics covered include inner product spaces and the structure of linear operators.
MATH 617 Sets and Logic. Topics covered include symbolic logic, proof techniques, sets, relations, functions, graphs, cardinality, and the Axiom of Choice. Applications of these topics to results in algebra and anaylsis will be included as time permits. MATH 619 Analysis I. Three credits. Topics covered include fundamental concepts of elementary real anaylsis, including rigorous treatment of single-variable limits, continuity, differentiation, and integration.