Lecture10_line_integral9.8

Lecture10_line_integ - 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 ± This unit is based on Sections 9.8 & 9.9 , Chapter 9. ± 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 : Read Section 9.8 & 9.9, pages . ± 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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2 Why line integrals? ± The work W done by a force F in the displacement of a particle along a curve C (given by r (t)) a small distance d is: r F r r F d F W r r r r r r r = = = ) ( 1 2 ±
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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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Lecture10_line_integ - 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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