This article gives an overview of the new field of complexity theory which links computer science to mathematics, and ultimately to the solution of theoretical as well as practical problems in society and technology. (Author/MK)

This article describes a one-semester junior and senior level course in applied mathematical optimization for undergraduates which provides the opportunity to test models by doing numerical experiments and to learn to use computer subroutines for solving optimization problems. (MN)

Describes the algorithm used to select a simple random sample of certain size without having to list all possible samples and a justification based on Pascal's triangle. Provides testing results by various computers. (YP)

Mathematical techniques used to solve geological problems are briefly discussed (including comments on use of geostatistics). Highlights of conferences/meetings and conference papers in mathematical geology are also provided. (JN)

A case study in mathematics designed to illustrate how the computer may be instructed to solve complicated problems. The problem is to find the volume of a right truncated cone given the altitude and a half angle or the base radius. (RP)

One aim of this report is to show and emphasize that in the computational approaches to most of today's pressing and challenging scientific and technological problems, the mathematical aspects cannot and should not be considered in isolation. Following an introductory chapter, chapter 2 discusses a number of typical problems leading to…

Discusses the changing nature of mathematics. Describes how computers, applications, and cross-fertilization have produced new methods, theories, and models in the mathematical sciences transforming it into a powerful collection of tools for science. (RT)

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)

Presents several examples of the iteration method using computer spreadsheets. Examples included are simple iterative sequences and the solution of equations using the Newton-Raphson formula, linear interpolation, and interval bisection. (YP)

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)

Discusses the use of the symbolic manipulator which helps students solve equations one step at a time. Recommends features to look for in algebra tools. Compares 14 programs on general, graphic, numeric, and symbolic manipulation and provides short reviews of each. (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)

Notes the computer has progressed from being a fast calculating machine to becoming an important tool for the whole academic spectrum. Discusses the development of new courses being offered to develop skills and knowledge in computational physics. (Author/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)