Divergence and Curl

Uses selected flow curve segments in a vector field F (x,y)= <f (x,y),g (x,y)> to demonstrate the effects of the divergence and curl of the vector field.
How to use   ||   Examples   ||   Other Notes

How to Use
The text input fields marked "f(x,y)=", "g(x,y)=", "div F=", and "curl F=" can accept a wide variety of expressions to represent functions, and the buttons under the graph allow various manipulations of the graph coordinates.
Positive Divergence:   
F (x,y)=<x,y>
Positive Curl:
F (x,y)=<-y,x>

Other Notes
The starting square and the resulting quadrilateral (both drawn in blue) give the basis for the geometric interpretations of divergence and curl: The flow curve segments are graphed by determining numerical approximations using the classical (order four) Runge-Kutta Method.