Masterclass Certificate in Calculus: High-Performance Math
-- ViewingNowThe Masterclass Certificate in Calculus: High-Performance Math is a comprehensive course designed to provide learners with a solid understanding of calculus, a fundamental branch of mathematics. This certification is crucial in today's data-driven world, where calculus skills are highly sought after in various industries such as technology, engineering, finance, and physics.
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โข Unit 1: Limits and Derivatives – An in-depth exploration of the fundamental concepts of calculus, focusing on limits, derivatives, and their properties.
โข Unit 2: Single Variable Integration – Mastering the techniques of integration, including substitution, integration by parts, and partial fractions.
โข Unit 3: The Fundamental Theorem of Calculus – Understanding the connection between differentiation and integration, and applying it to solve various calculus problems.
โข Unit 4: Multivariable Calculus: Vector Calculus – Learning about vectors, vector fields, and their applications in advanced calculus.
โข Unit 5: Multivariable Calculus: Partial Derivatives – Delving into the concept of partial derivatives, their properties, and applications in optimization problems.
โข Unit 6: Multivariable Calculus: Multiple Integration – Mastering the techniques of multiple integration, including change of variables and Jacobians.
โข Unit 7: Infinite Series – Analyzing and evaluating infinite series, with a focus on their convergence and divergence properties.
โข Unit 8: Taylor Series – Understanding the concept of Taylor series, their representation, and applications in approximation problems.
โข Unit 9: Applications of Calculus in Physics – Applying calculus concepts to solve physics problems, including motion, energy, and forces.
โข Unit 10: Applications of Calculus in Engineering – Exploring the use of calculus in engineering, including optimization, stability analysis, and system modeling.
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