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MATH 111: Calculus I Honors - Bukiet - Podcasts

by Bruce Bukiet

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Some of the topics that are covered include: A Brief Review of Functions. Introduction To and Definition of Limits, Calculation of Limits Using Limit Laws, Asymptotes, Velocities and Tangents. Definition of Derivative, Calculation of Derivatives of Common Functions, Rules for Differentiation, Implicit Differentiation. Application of Derivatives: Related Rates, Linear Approximation, Finding Extrema, Curve Sketching, Mean Value Theorem, Evaluating Limits of Indeterminant Forms/L'Hospital's Rule, Optimization, Rootfinding. Antiderivatives, Integration, Fundamental Theorem of Calculus, Substitution Rule