This applet is designed to build intuition about line integrals.
- The applet has a control window and 4 graphics
- The first graphical window is the domain window.
contains a movable hot spot that focuses on a point in the graph.
- There are windows for an x-slice and a y-slice, the two
sections of the 3-D graph obtained by holding y and x, respectively,
constant at the hot spot. On the control panel there are
boxes to add the appropriate tangent line to each of these graphs.
- The fourth window gives a graph of the surface.
tangent lines are made visible on the slices, they will also be visible
here. An additional checkbox makes the tangent plane
visible. It should be noted that the tangent plane, if it
is the plane that contains the two tangent lines for the slice curves.