Last Updated 10/28/2022

Sage Essentials
Section 9: Vector Calculus

Plotting: Vector Fields

Example 2

The following SageMath codes plot the vector field $F\left(x,y\right)=\left(\sin y\right)i+\left(x\cos y\right)j$ on $\left[-3,3\right]\times \left[-3,3\right]$ .

Try this!

  $\nabla f\left(x,y\right)$ is called the gradient vector field of the function $f\left(x,y\right)$ .

Plot the gradient vector field of the function $f\left(x,y\right)=x^2-y^2$  on $\left[-3,3\right]\times \left[-3,3\right]$ .