Seven computer assignments for undergraduate economics students that concentrate on building a foundation for programming higher level mathematical calculations are described. The purpose of each assignment, the computer program for it, and the correct answers are provided. "Introduction to Text Editing" acquaints the student with some…

Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)

Evaluates MUSICSHAPES, a graphic music construction software program which manipulates sound in terms of pitch, rhythm, timbre, and sequence to help students create complex synthesizer compositions. Intended for ages eight to adult, the program utilizes Apple II computers and additional hardware. Discusses how MUSICSHAPES can be used effectively…

Describes the use of simulation to introduce the bootstrapping technique of creating confidence intervals for the mean, median, and variance. These bootstrap confidence intervals are compared to the traditional confidence intervals for the purpose of analyzing accuracy of the technique. A Minitab program to produce confidence intervals is…

Presented is a way to provide students with a review and an appreciation of the versatility of pointers in data structures by improvising with binary trees. Examples are described using the Pascal programing language. (KR)

This document combines a students' manual and a manual for teachers. The students' manual is a self-teaching guided discovery manual for junior high, high school, and college students that provides self-paced explorations into recursion. It includes a disk with lessons that are to be used with the written material. There are eight lessons…

Lists a BASIC program which computes the equilibrium constant as a function of temperature. Suggests use by undergraduates taking a one-year calculus-based physical chemistry course. Notes the program provides for up to four species, typically two reactants and two products. (MVL)

This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)

The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)

Examines the use of the computer to approximate the value of the definite integral normally calculated by mathematical means. Presents four examples using BASIC programs to approximate single and double integrals by numerical integration and the Monte Carlo method. Programs are provided. (MDH)

Provides a program listing in True BASIC which constructs several kinds of matrices: (1) matrices with integral entries that have inverses that have integral entries; (2) matrices with integral entries that have inverses that are rational numbers with reasonable denominators; and (3) matrices with integral entries and prescribed integer…

Background information, data input, data analysis, and advantages of using this method with this software are discussed. A flowchart of the event-trapping program structure and a printout of the program are included. (CW)

Describes how computer graphic methods can be used in teaching structural geology. Describes the design of a graphics workstation for the Apple microcomputer. Includes a listing of commands used with software to plot structures in a digitized form. Argues for the establishment of computer laboratories for structural geology classes. (TW)

This article presents a vector-analysis approach to the classical three-point problem in hydrogeology. Problem sets involving strike and dip, and ground water flow including computer programs (in BASIC) for their solution are given. (CW)

Presented are exercises that demonstrate the application of standard concepts in the design of algorithms for plotting certain fractals. The exercises can be used in any course that explains the concepts of bounded or unbounded planar sets and may serve as an application in a course on complex analysis. (KR)