16.360 Lecture 16 - PowerPoint PPT Presentation

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16.360 Lecture 16

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16.360 Lecture 16 Gradient in Cartesian Coordinates Gradient: differential change of a scalar The direction of is along the maximum increase of T. – PowerPoint PPT presentation

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Title: 16.360 Lecture 16


1
16.360 Lecture 16
Gradient in Cartesian Coordinates
Gradient differential change of a scalar

The direction of
is along the maximum increase of T.
2
16.360 Lecture 16
Example of Gradient in Cartesian Coordinates
Find the directional derivative of
along the direction
and evaluate it at (1, -1,2).
3
16.360 Lecture 16
Gradient operator in cylindrical Coordinates
4
16.360 Lecture 16
Gradient operator in cylindrical Coordinates
5
16.360 Lecture 16
Gradient operator in Spherical Coordinates
6
16.360 Lecture 16
Properties of the Gradient operator
7
16.360 Lecture 18
Laplacian Operator of a scalar
8
16.360 Lecture 18
Laplacian Operator of a vector
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