Review of functions. Limits and continuity of functions. Composite functions. Definition of the derivative. Derivatives of algebraic and trigonometric function. Rules for differentiation; sum rule, difference rule, product rule, quotient rule, chain rule. Rolle's Theorem and the Mean Value Theorem. Applications of the derivative; equations of motion, linear approximation of functions, error analysis, topics from geometry, maxima and minima of functions, curve sketching, related rates. Antidifferentiation and the indefinite integral. Fundamental Theorem of Calculus. Definite integrals. Integration by substitution. Applications of integration. Areas and volumes. Introduction to Derive? symbolic manipulation software. Prerequisite: "C" or better inMathematics 109 or Mathematics Placement Exam. 4 semester hours
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