Global Certificate in Calculus: Differentiation in Action
-- ViewingNowThe Global Certificate in Calculus: Differentiation in Action is a comprehensive course that focuses on one of the most essential mathematical concepts for various industries. This certificate program highlights the importance of differentiation and its applications in real-world scenarios, making it an ideal course for professionals seeking to enhance their mathematical skills.
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โข Unit 1: Introduction to Calculus โ fundamental concepts, history and importance of calculus, basic mathematical operations
โข Unit 2: Limits and Continuity โ limit laws, one-sided limits, limit definitions of functions, continuity
โข Unit 3: Differentiation Basics โ differentiation rules, higher order derivatives, implicit differentiation
โข Unit 4: Applications of Differentiation โ related rates, optimization problems, motion and growth
โข Unit 5: Curve Sketching โ concavity, inflection points, local and absolute extrema
โข Unit 6: L'Hopital's Rule and Indeterminate Forms โ evaluating limits using L'Hopital's rule, types of indeterminate forms
โข Unit 7: Taylor and Maclaurin Series โ Taylor polynomials, Taylor and Maclaurin series, error estimation
โข Unit 8: Partial Differentiation โ functions of multiple variables, partial derivatives, higher order partial derivatives
โข Unit 9: Multivariable Optimization โ constrained optimization, Lagrange multipliers, optimization problems in multiple variables
โข Unit 10: Directional Derivatives and the Gradient โ directional derivatives, normal lines, gradient as a vector
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