201-Unit 3-Summer - ENGR 201 Summer Unit 3 Study Guide Unit...

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ENGR 201 – Summer Unit 3 Study Guide Unit Content : Section Pages Content 14.6 1018-1024 Linearization, Differentials, Absolute, Relative and Percentage Change 14.5 1005-1014 Directional Derivatives, Gradient Vectors, Tangent Planes, and Normal Lines 14.6 1015-1018 14.7 1027-1038 Extreme Values and Saddle Points, Absolute Maxima and Minima on Closed Regions, Optimization, Least Squares and Regression Lines Learning Objectives : 1. Find the linear approximation for a given function of two or more independent variables at a given point, g G , and use this to approximate ±²g ³ ´ at a given g ³ . 2. Find the differential µ± for a given ± and use it to approximate absolute, relative, and percentage change for a given ±, g G , ∆¶, ∆·, etc. 3. Find the gradient of a given function ± at a given point g G , then find the directional derivative at g G in the direction of a given vector ¸ ¹ .
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This note was uploaded on 06/03/2010 for the course ENGR 201 taught by Professor Staff during the Summer '08 term at University of Louisville.

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201-Unit 3-Summer - ENGR 201 Summer Unit 3 Study Guide Unit...

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