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MATH 224 - Foundations of Modern Mathematics |

This course develops the essential components of Zermelo-Fraenkel set theory and from these ideas constructs the standard number osystems. 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 rigourous development of the theorems of elementary calculus.
Credits: 3.000 Levels: Undergraduate Schedule Types: Lecture, Final Exam |