1. 16.360 Lecture 16 Today Gradient of a scalar field
Gradient in Cartesian Coordinates
Gradient in Cylindrical Coordinates
Gradient in Spherical Coordinates
Properties of Gradient operator

2. 16.360 Lecture 16 Gradient in Cartesian Coordinates
Gradient: differential change of a scalar
The direction of
is along the maximum increase of T.

3. 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).

4. Lecture 16
Gradient operator in cylindrical Coordinates

5. Lecture 16
Gradient operator in cylindrical Coordinates z x y

6. Lecture 16
Gradient operator in Spherical Coordinates

7. Lecture 16
Properties of the Gradient operator