Math 112 or equivalent . Topics selected from graph theory, enumeration, recursion, partially ordered sets, and design and coding theory. Applications are chosen from computer science, optimization, and the social and life sciences. Math 215 or 208 . Spring 2002 Spring 2003 Futher development of the skills of abstract mathematical reasoning and writing proofs.
Course is grounded in a particular subjet area chosen by the instructor.
Possible areas include topology, number theory, and combinatorics. Spring 2002 Rigorous treatment of concepts studied in elementary calculus and an introduction to more advanced topics in analysis. Topics include elements of logic and set theory, properties of real numbers, elements of metric space topology, continuity, the derivative, the Riemann integral, sequences and series, and uniform convergence. Math 315 or permission of the instructor . Spring 2003 Study of basic structures of modern abstract algebra, including groups, rings, fields, and vector spaces.