Global Certificate in Calculus Differentiation for STEM
-- ViewingNowThe Global Certificate in Calculus Differentiation for STEM is a comprehensive course that focuses on one of the most essential topics in mathematics. This certificate program highlights the importance of differentiation in calculus and its application in the fields of Science, Technology, Engineering, and Mathematics (STEM).
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โข Limits and Continuity: Concepts of limits, one-sided limits, infinity, and limits at infinity, continuity of functions, and the Intermediate Value Theorem.
โข Differentiation Basics: Derivative as a rate of change, differentiation rules (power, product, quotient, and chain rules), and implicit differentiation.
โข Higher Order Derivatives: Concepts of higher order derivatives, higher order differentiation rules, and concavity of functions.
โข Applications of Differentiation: Tangents, normals, and local extrema, mean value theorem, Taylor polynomials, and L'Hopital's rule.
โข Optimization Problems: Solving optimization problems using differentiation, absolute and local extrema, and optimization under constraints.
โข Related Rates: Solving related rates problems, linear and angular motion, and fluid pressure.
โข Curve Sketching: Analyzing and sketching graphs, asymptotes, inflection points, concavity, and maximum/minimum points.
โข Partial Derivatives: Concepts of partial derivatives, partial differentiation rules, and higher order partial derivatives.
โข Directional Derivatives and Gradients: Directional derivatives, gradient vectors, and applications.
Note: This list focuses on essential units for a Global Certificate in Calculus Differentiation for STEM students. The actual course outline may include additional topics and units based on the specific course requirements.
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