MATH-M 311 Study Guide - Final Guide: Differential Calculus, Scalar Multiplication, Dot Product

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20 Jul 2016
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Curves (1-dimensional in 2 dimensions: specific curves: circles, ellipses, cycloids, spirals, lines, parabolas, defining curves parametrically (given by graph of some function , implicitly defined (level) curves, ie. solution set of for , Surfaces (2-dimensional in 3 dimensions: specific surfaces: spheres, ellipsoids, elliptic paraboloids, planes, graphs of functions where, level surfaces: solution sets of. Overview of final exam free response (10 given, pick 5) Roughly half and half pre- and post-midterm 2 material. New material: given a region, express it as a given type (ie. convert type i type ii, surface area calculation, volume calculation, volume or surface area easier with polar coordinates, bonus (15 pts): volumes of tetrahedral.

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