Global Certificate in Calculus Differentiation for Engineers
-- ViewingNowThe Global Certificate in Calculus Differentiation for Engineers is a comprehensive course designed to equip learners with essential mathematical skills necessary for success in engineering careers. This program focuses on differentiation, a crucial calculus concept, and its applications in engineering contexts.
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โข Limits and Continuity: Concepts of limits, one-sided limits, infinite limits, and limit laws
โข Differentiation Rules: Sum, difference, product, and quotient rules, chain rule, and implicit differentiation
โข Derivatives of Basic Functions: Algebraic, trigonometric, exponential, and logarithmic functions
โข Applications of Differentiation: Tangents, normals, and rates of change, optimizations, and related rates problems
โข Higher Order Derivatives: Second and higher order derivatives, concavity, and inflection points
โข Curve Sketching: Identifying local maxima, minima, and points of inflection using derivatives
โข Mean Value Theorem: Statement and proof, applications, and consequences
โข Taylor and Maclaurin Series: Expansions, remainder estimates, and applications
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