Math 131

Introduction to logic, methods of proof, mathematical induction. Sets, operations, on sets, cartesian product, binary relation, partition of a set, equivalence relation, equivalence classes, mappings, equivalence of sets, finite sets, countable sets, cardinal numbers, Binary operations, morphisms, Definition and examples of groups, definition and examples of rings and fields.

Required Text Book: A Transition to Advanced Mathematics by D. Smith, M. Eggen, and R St. Andre 5th edition.