Global Certificate in Calculus: Differentiation for Impact
-- ViewingNowThe Global Certificate in Calculus: Differentiation for Impact is a comprehensive course that focuses on one of the most crucial concepts in mathematics. This certificate program emphasizes differentiation, a fundamental skill used across various industries, including engineering, physics, economics, and computer science.
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โข Unit 1: Introduction to Calculus โ Foundational concepts, history, and importance of calculus, primary derivatives.
โข Unit 2: Basic Differentiation Rules โ Sum, difference, product, and quotient rules, chain rule, and their applications.
โข Unit 3: Limits and Continuity โ Limit concepts, continuity, and their relationship with differentiation.
โข Unit 4: Higher Order Derivatives โ Concepts and calculations, applications in optimization and curve analysis.
โข Unit 5: Applications of Differentiation โ Real-world problems, related rates, motion, and business applications.
โข Unit 6: Implicit Differentiation โ Techniques, calculations, and applications to Cartesian equations and curves.
โข Unit 7: Logarithmic and Exponential Differentiation โ Calculating derivatives and applying them to real-world growth and decay scenarios.
โข Unit 8: Inverse Trigonometric Functions โ Derivatives, applications, and advanced techniques.
โข Unit 9: Review of Differentiation Techniques โ Comprehensive review, practice problems, and performance assessments.
โข Unit 10: Introduction to Integration โ Preview of upcoming topics, relationship between differentiation and integration.
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