Foundations of Modern Mathematics

3 credits · Undergraduate

This course develops the essential components of Zermelo- Fraenkel set theory and from these ideas constructs the standard number systems. Topics include basic logic and methods of proof, axioms of set theory, mathematical induction, the natural numbers, the integers, and the rational, real, and complex number systems, epsilon-delta arguments, and rigorous development of the theorems of elementary calculus. Prerequisite(s): MATH 100-3 or MATH 105-3 Recommendation(s): MATH 101-3