ABSTRACT
We will make our first animations in this chapter, using three built-in procedures. These convenient procedures are useful when the object you want to animate is a function of one or two variables. We will adopt a general outline for animation worksheets and use it to create many animated classroom demonstrations. One animation illustrates the idea of a tangent line to a curve at a point by showing various secant lines passing through a common point and approaching, or not approaching, a limiting line. Another one demonstrates the squeeze theorem. It draws a curve as it is being forced toward a limit by two bounding functions. Four more are useful for investigating the shapes of hyperboloids and paraboloids by passing a plane through them and studying the cross-sections. Another demonstrates the concepts of level curves and contour plots.
