Introduction to Analysis

Provides the theoretical underpinnings of calculus and the advanced study of functions needed for teaching AB or BC advanced placement calculus. Emphasizes precise definitions and rigorous proofs. Offers students an opportunity to understand a rigorous proof of the Fundamental Theorem of Calculus and to learn how to write careful, logical, and understandable mathematical proofs. Topics include the construction of real numbers from rational numbers, completeness, continuity, uniform continuity, and differentiability of functions in the inverse function theorem and the Riemann integral.

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