![]() Proof of Product Rule and Quotient Rule.Proof of the Power Rule and Other Derivative Rules.Power Rule and Other Rules for Derivatives.Proof that Differentiable Functions are Continuous.Derivatives as Functions and Graphs of Derivatives.Computing Derivatives from the Definition.Unit Circle Definition of Sine and Cosine.Limits at Infinity and Algebraic Tricks.The sections from the Corequisite course are identified. Green.īelow are all the Calculus concepts you will learn about in this course. In this video, the lectures from the Corquisite course, which review important Algebra and Trigonometry concepts, have been interspersed with the Calculus 1 lectures at the places suggested by Dr. She teaches both Calculus 1 and a Calculus 1 Corequisite course, designed to be taken at the same time. This course actually combines two courses taught by Dr. She has years of experience teaching Calculus to undergraduate students. Linda Green who teaches at the University of North Carolina at Chapel Hill. We have posted a 12-hour college Calculus course on the YouTube channel. Calculus is also used in the field of machine learning. It is also used in graphics and physics simulations, which are key parts to many video games. Applied Calculus (Calaway, Hoffman, and Lippman) Page notifications On picture_as_pdf Readability Cite this page An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.Calculus concepts are important to understand for many types of software development.Ĭalculus is often used when developing algorithms for modeling real-word phenomena.Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most o The text is aimed primarily at readers who already have some familiarity with calculus. Just as most beginning calculus books provide no logical justification for the real number system, none are provided for the hyperreals. Yet Another Calculus Text - A Short Introduction with Infinitesimals (Sloughter) This text is an introduction to calculus based on the hyperreal number system and uses infinitesimal and infinite numbers freely.12: Vector-Valued Functions and Motion in Space.10: Parametric Equations and Polar Coordinates.7: Integrals and Transcendental Functions.10: Parametric Equations And Polar Coordinates.Map: Calculus - Early Transcendentals (Stewart).10: Polar Coordinates and Parametric Equations.2: Instantaneous Rate of Change- The Derivative.Calculus (Guichard) This general calculus book covers a fairly standard course sequence: single variable calculus, infinite series, and multivariable calculus.17: Second-Order Differential Equations. ![]() 14: Differentiation of Functions of Several Variables.11: Parametric Equations and Polar Coordinates. ![]()
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