Certificate in Calculus: Differentiation for Analysts
-- ViewingNowThe Certificate in Calculus: Differentiation for Analysts is a comprehensive course designed to equip learners with a solid understanding of differentiation, a fundamental concept in calculus. This course emphasizes the importance of differentiation in various fields, including physics, engineering, economics, and data science, making it highly relevant in today's data-driven world.
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โข Basic Functions: Constants, identities, polynomials, rational, exponential, logarithmic, and trigonometric functions
โข Limits: One-sided limits, infinity, infinity limits, and L'Hopital's rule
โข Continuity: Continuous functions, limit definition of continuity, and properties of continuous functions
โข Differentiation Rules: Power rule, product rule, quotient rule, chain rule, and implicit differentiation
โข Higher Order Derivatives: Second order derivatives, higher order derivatives, and Taylor series
โข Applications of Differentiation: Linear approximation, optimization problems, related rates, and motion problems
โข Curve Sketching: Concavity, inflection points, and asymptotes
โข Mean Value Theorem: Mean value theorem, Rolle's theorem, and intermediate value theorem
โข L'Hopital's Rule: Extended L'Hopital's rule and indeterminate forms
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