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1
Line Integral and Its Independence of the Path
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All assigned readings and exercises are from the textbook
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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
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Reading
:
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Exercises
:
Complete problems
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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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Dependence and Independence on the Path
Example
:
P9.921
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.
 Winter '10
 S.SamuelLi

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