Described are several programs that enable the user to evaluate derivatives to order n of any elementary function by using the combination of automatic differentiation method and A Programming Language (APL). Programs calculating first- and higher-order derivatives are presented. Selected APL symbols are appended. (YP)

Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

This is a collection of Pascal programs that were developed for a 1986 National Science Foundation-sponsored high school teachers' summer workshop. The programs can be used as a means of extending or enriching textbook material in either high school mathematics or Pascal courses. Some suggested uses are: (1) teacher demonstrations in mathematics…

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Provides a short BASIC program, RANVAR, which generates random variates for various theoretical probability distributions. The seven variates include: uniform, exponential, normal, binomial, Poisson, Pascal, and triangular. (MVL)

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

Provides a listing of a software graphics program that investigates the law of reflection and Snell's law of refraction. Written in BASIC for the Apple II personal computer. (MVL)

Discusses dimensionality in Euclidean geometry. Presents methods to produce fractals using LOGO. Uses the idea of self-similarity. Included are program listings and suggested extension activities. (MVL)

Considers activities that use LOGO to slide, turn, and flip the "turtle." Uses non-LOGO tools such as cutouts, pattern blocks, and tangrams to enhance the motion work. Provides examples and programs with explanations. (MVL)

Discusses the use of computers in chemistry courses at the United States Military Academy. Provides two examples of computer projects: (1) equations of state, and (2) solving for molar volume. Presents BASIC and PASCAL listings for the second project. Lists 10 applications for physical chemistry. (MVL)

Presents a program for the Apple II computer that teachers can use for exam questions and homework assignments. Prints out all cubic polynomials whose roots, maximum and minimum points, and points of inflection are all integers. (MVL)

Uses a LOGO program and probability to solve systems of equations. Provides a physical model and a LOGO model. Lists programs and explains the methodology used. (MVL)

Provides a method to use superscripts and subscripts on the screen by using graphics screen modes. Gives two methods and provides a listing of a sample BASIC program. (MVL)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)

Provides several examples of the use of Logo in working with fractions and manipulating vectors. Includes an exercise which deals with the relationship between the two and several exercises which address various problems using different kinds of fractions. (TW)