Certificate in Core Calculus: Differentiation Simplified
-- ViewingNowThe Certificate in Core Calculus: Differentiation Simplified is a comprehensive course designed to help learners build a solid foundation in calculus, with a particular focus on differentiation. This certification is vital for professionals in various industries, including engineering, physics, economics, and computer science, where calculus is an essential tool for problem-solving and data analysis.
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โข Unit 1: Introduction to Calculus: History, importance, and basic concepts
โข Unit 2: Real Numbers and Functions: Number systems, functions, and their properties
โข Unit 3: Limits and Continuity: Limit definition of derivative, one-sided limits, and continuous functions
โข Unit 4: Differentiation Fundamentals: Power rule, product rule, quotient rule, and chain rule
โข Unit 5: Higher Order Derivatives: Second and third derivatives, higher order derivatives' applications
โข Unit 6: Implicit Differentiation: Implicitly defined functions and related techniques
โข Unit 7: Derivatives of Inverse Functions: Inverse functions, differentiation of logarithmic and exponential functions
โข Unit 8: Applications of Differentiation: Related rates, optimization problems, and motion along a curve
โข Unit 9: Curve Sketching: First and second derivatives, concavity, and inflection points
โข Unit 10: Mean Value Theorem and Taylor Series: Mean Value Theorem, Taylor polynomials, and Maclaurin series
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