ABSTRACT
The convenient animate, animatecurve, and animate3d procedures of Chapter 4 are designed for animating a function of one or two variables. Not all animations fall into that category. In this chapter, we will meet the built-in procedure seq, which generates sequences, and use it in conjunction with the display procedure to create animations. The method we will develop is more generally applicable. It can be used when the object we want to animate is generated by another Maple procedure. We will also encounter the student and Student[Calculus1] packages, and create some more demonstrations for classroom use. One shows rectangles that approximate an area under a curve becoming more region-filling as their number increases. Another demonstrates the concept of level surfaces, extending to four dimensions the demonstration of level curves in Section 4.10. Two more show the paths of projectiles, and another shows a cycloid being generated by a chosen point on a rolling circle.
