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Lecture 16 Gradient in Cartesian Coordinates

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Presentation on theme: "Lecture 16 Gradient in Cartesian Coordinates"— Presentation transcript:

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 Lecture 16 Gradient operator in cylindrical Coordinates

4 Lecture 16 Gradient operator in cylindrical Coordinates z x y

5 Lecture 16 Gradient operator in Spherical Coordinates

6 Lecture 16 Properties of the Gradient operator

7 Lecture 18 Laplacian Operator of a scalar

8 Lecture 18 Laplacian Operator of a vector


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