Epicycloids are formed by tracing the path of a fixed point on a circle as it rolls aroung the outside of a larger circle. Examines several possibilities related to epicycloids (and hypocycloids), presenting more mathematical patterns and artistic shapes that result from using several computer programs. Program listings are included. (JN)

Discusses properties of epicycloids. (The easiest way to picture them is to think of a piece of radioactive bubble gum attached to a wheel which is rolling around the outside of a larger wheel.) Includes a computer program (TRS-80 color computer) that will graph any epicycloid with integer values for the radii. (JN)

A program for drawing a line segment is developed. (MNS)

Computational science is defined as science done on a computer. A computer can serve as a laboratory for researchers who cannot experiment with their subjects, and as a calculator for those who otherwise might need centuries to solve some problems mathematically. The National Science Foundation's support of supercomputers is discussed. (MLW)

Describes a computer program which allows students to specify rather arbitrary sets of poles and zeros for the transfer function of a linear system. The computer evaluates/plots the systems impulse and step responses individually and displays them in reduced form along with the pole-zero plot. (JN)

This document describes a system that has been developed to use a digital computer graphics terminal for interactive analysis of piecewise continuous systems of nonlinear differential equations. This program allows even a novice user to freely investigate the behavior of control systems and solutions of differential equations by changing initial…

Shows a series of Euclidean equations using the Euclidean algorithm to get the greatest common divisor of two integers. Describes the use of the equations to generate a series of circles. Discusses computer generation of Euclidean circles and provides a BASIC program. (YP)

Inability to see the relevance of mathematics to understanding the time course of drugs in the body may discourage interest in pharmacokinetics. A UNC-developed computer graphics simulation program helps visualize the nature of pharmacokinetic-patient interactions, generates classroom handouts, and is used in the pharmaceuticals industry to…

Computer graphics was selected as the means of teaching students to use the computer as a tool to enhance their comprehension of scientific and technical principles. Discusses strategies used and provides examples of student-generated graphics in mathematics, chemistry, physics, and engineering mechanics. (JN)