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MATH 424 Real Analysis 2

Developing a Conceptual Foundation for Calculus

Analysis is the mathematically rigorous development of calculus based on the theory of infinite sets. The analysis sequence begins with the application of the infinitary methods of set theory to construct the uncountable continuum of real numbers and unfold its topological structure, and then shows how the basic principles of calculus can be logically unfolded from this set-theoretic understanding of the continuum. Topics: properties of continuous functions, differentiation, mean value theorem, Riemann integral. (4 credits) Prerequisite: MATH 423


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