Three lecture and two laboratory hours each week. MAT 275 . An introductory treatment of logic and methods of proof. Elementary set theory, relations, functions, cardinality, the real number system and topics from axiomatic systems. Emphasis on precision in the language of mathematics and rigor in proofs.
Students gain experience in communicating mathematics through presentations.
MAT 311 . Thorough treatment of the topology of the real line, functions and limits, convergence, continuity, differentiation and integration of functions of a real variable. Infinite series, uniform convergence. MAT 321 . Introduction to the theory of numbers motivated by applications.