A discussion of differential equations is accompanied by an analysis of two situations whose solutions require differential equations. A computer program is given that will solve these equations. (MP)

Discusses personal experiences in using microcomputers to teach differential equations and calculus, including programs written for and activities in a year-long calculus sequence called Calculus and Computers. Suggests that computers and their graphics capabilities be used to provide a mathematical environment in which students can interact and…

Described are computer program packages requiring little or no knowledge of computer programing for college algebra, calculus, and abstract algebra. Widely available computer algebra systems are listed. (MNS)

A computer-managed exercise to enhance the meaning of the first and second derivatives of a function at a point is explained. A copy of the program written in BASIC PLUS is included. (DT)

One lesson from a group of six computer-assisted lessons is described. The BASIC program is given along with a sample run. (MP)

An experiment in which a minicomputer was used as an instructional aid in a calculus classroom and as a laboratory device for students is described. (SD)

An experimental program in Calculus I at the University of Southern California (USC) is described. It is concluded that it is possible to give a meaningful program in which computer use is incorporated. The intent is to set up all USC calculus courses with some use of microcomputers. (MP)

Discusses four computer-assisted-instruction programs used in a college-level mathematics course to introduce computer literacy and improve mathematical skills. The BASIC programs include polynomial functions, trigonometric functions, matrix algebra, and differential calculus. Each program discusses mathematics theory and introduces programming…

An easy way to construct a dodecahedron, interesting connections between conic sections in the Cartesian system and limacons in the polar coordinate system, and the use of u-substitutions in simplifying the integration of certain functions are all explored. A BASIC program is provided with the limacon-conic section discussion. (MP)

A course that incorporates a computer program as a tool to take a more detailed look at differential equations is described. (MP)

This document explores two methods of obtaining numbers that are approximations of certain definite integrals. The methods covered are the Trapezoidal Rule and Romberg's method. Since the formulas used involve considerable calculation, a computer is normally used. Some of the problems and pitfalls of computer implementation, such as roundoff…

The author states that this book was written for anyone who wants to know what calculus is all about, and that those with knowledge of some algebra and geometry should be able to understand it. That calculus should be called "slope finding" is discussed, and this term is used extensively. The book is divided into three chapters: (1) the…

This module is part of a series designed to be used by life science students for instruction in the application of physical theory to ecosystem operation. Most modules contain computer programs which are built around a particular application of a physical process. This module is used to introduce the biology student to differential calculus, a…