Lecture 16 Gradient in Cartesian Coordinates

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Presentation transcript:

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

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).

16.360 Lecture 16 Gradient operator in cylindrical Coordinates

16.360 Lecture 16 Gradient operator in cylindrical Coordinates z x y

16.360 Lecture 16 Gradient operator in Spherical Coordinates

16.360 Lecture 16 Properties of the Gradient operator

16.360 Lecture 18 Laplacian Operator of a scalar

16.360 Lecture 18 Laplacian Operator of a vector