The materials have been organized to support independent study. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space. It is the second semester in the freshman calculus sequence. » Session 3: Derivative as Rate of Change. This course covers vector and multi-variable calculus. » Session 1: Introduction to Derivatives. We recommend using a computer with the downloaded course package. There is also an online Instructor’s Manual and a student Study Guide. Note: The downloaded course may not work on mobile devices. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. Strang on OCW: RES.18-001 Calculus Online Textbook RES. For help downloading and using course materials, read our FAQs. 18.086 Mathematical Models for Engineers II 18.327 Wavelets, Filter Banks and Applications 2.087 Engineering Math: Differential Equations and Linear Algebra Supplemental resources by Prof. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics. This section explains what differentiation is and gives rules for differentiating familiar functions. This package contains the same content as the online version of the course, except for the audio/video materials. Given a value – the price of gas, the pressure in a tank, or your distance from Boston – how can we describe changes in that value? Differentiation is a valuable technique for answering questions like this. This course covers differential, integral and vector calculus for functions of more than one variable.
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