Lecture11_Independence_of_line_int_9-9

# Lecture11_Independen - Line Integral and Its Independence of the Path This unit is based on Sections 9.8 9.9 Chapter 9 All assigned readings and

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1 Line Integral and Its Independence of the Path ± ± All assigned readings and exercises are from the textbook ± Objectives : Make certain that you can define, and use in context, the terms, concepts and formulas listed below: 1. integrate a 2D or 3D vector field over a path. 2. calculate the work done by a 2D or 3D force operating over a path. 3. dependence and independence of a line integral of the path 4. conservative field and potential functions ± Reading : ± Exercises : Complete problems ± Prerequisites : Before starting this Section you should . . . 9 be familiar with the concept of integration 9 be familiar with vector algebra and partial derivatives 9 be familiar with 3D coordinate system

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7 Dependence and Independence on the Path Example : P9.9-21 x Q y P = [] + = = B A dy y x Q dx y x P r d y x F I C ) , ( ) , ( ) , ( r r The line integral depends in general on the integrand function,
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## This note was uploaded on 05/09/2010 for the course ENGR 233 taught by Professor S.samuelli during the Winter '10 term at Concordia Canada.

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Lecture11_Independen - Line Integral and Its Independence of the Path This unit is based on Sections 9.8 9.9 Chapter 9 All assigned readings and

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