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Nov 21, 2024
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MAC2312 Calculus with Analytic Geometry II5 credit hour(s) Prerequisite(s): grade of C or better in MAC2311 . This course affords students a mastery of foundational mathematical and computation models and methods by applying such models and methods in problem solving. Topics include review of functions, limits and continuity, the derivative, differentiation of algebraic functions, differentiation of transcendental functions, mean-value theorem and intermediate value theorem, extrema and graph sketching, area and the definite integral, antidifferentiation, fundamental theorem, inverse functions, arc length, techniques of integration, parametric equations and polar coordinates, Taylor’s formula, infinite sequences and series, vectors in the plane and 3-space, topics from plane and solid analytic geometry, directional derivatives and curvature, differential calculus of functions of several variables. Lecture: 5 hours. A graphing calculator is required; check with instructor for the most appropriate one.
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