MATH 330 - Number Systems

Careful discussion of the real numbers, the rational numbers and the integers, including a thorough study of induction and recursion. Countable and uncountable sets. The methodology of mathematics: basic logic, the use of quantifiers, equivalence relations, sets and functions. Methods of proof in mathematics. Training in how to discover and write proofs. Prerequisites: C or better in MATH 227 or MATH 230, or consent of instructor. Every semester. 4 credits.