Functions of Two Variables: Graphs, Level Curves, Continuity

Description: Examples of some simple graphs of functions of two variables ( animation ), contour plots and level curves ( animation ), examples of surfaces with and without discontinuities ( animation ).

Plots

Some Simple Graphs

> display([para_cyl,ellip_para,saddle,monkey_saddle,wave], insequence=true);

>

Contour Plots and Level Curves

Contour Plots for the Saddle

> display([intersections,contourcurves], orientation=[40,70], insequence=true);

>

>

Contour Plots Animation

> plot_with_underlay;

> contour_animation;

Discontinuities

> display([example1,example2,example3,example4a,example4b,example5], insequence=true,orientation=[-90,0]);

>

>