Bachelors and graduate students are offered in the course of teaching computational informatics, the ability to solve nonstandard mathematical problems, which, as a rule, are not included in the content of teaching computational informatics. The article aimed to analyze the application effectiveness of non-standard mathematical problems in the…

Two kinds of secret writing, codes and ciphers, are discussed. The weakness of a ciphering system mentioned in the March 1981 issue is pointed out, and an alternate method is presented. Programs written in BASIC are presented which can be used to encipher messages and help break ciphers. (MP)

This paper discusses the role of reduction in computer science and describes a study on undergraduate students' perception of the concept of reduction. Specifically, based on an analysis of students answers to questions addressing different computer science topics, we present several findings regarding the ways in which undergraduate students…

Mathematical modeling problems encountered in many disciplines are discussed in terms of the modeling process and applications of models. The models are classified according to three types of abstraction: continuous-space-continuous-time, discrete-space-continuous-time, and discrete-space-discrete-time. Limitations in different kinds of modeling…

This material contains two units which view applications of computer science. The first of these examines Horner's scheme; and is designed to instruct the user on how to apply both this scheme and related algorithms. The second unit aims for student understanding of standard bisection, secant, and Newton methods of root finding and appreciation of…

This document explains A Programming Language (APL) and describes the experiment that the Information Processing Division has undertaken to introduce APL to the Goddard Scientific Community. A brief historical sketch of steps taken to date is included and appendices giving illustrative examples of how APL actually has been used at the Goddard…

It is noted that there are some integrals which cannot be evaluated by determining an antiderivative, and these integrals must be subjected to other techniques. Numerical integration is one such method; it provides a sum that is an approximate value for some integral types. This module's purpose is to introduce methods of numerical integration and…

Outlines an articulation program between college and industry. Describes three seminar courses using the college's computer system. Considers the benefits of the program. (Author/YP)

Useful programming tricks are suggested to allow the reduction of many equations and non-polynomial-like expressions and the subsequent application of the mathematical algorithms. (Author)

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)

Competence is defined as the knowledge of a mature speaker of a language, irrespective of questions about acquisition. It is questioned whether there can be a procedure for generating sentences as a model of this competence; it is concluded that there cannot be a precise, non-random model for competence. (CHK)

Part of the report by the Committee on Support of Research in the Mathematical Sciences is presented. It deals with an overview of the mathematical sciences from past to present. (JG)

A program written for the 16K Level II TRS-80 computer that prints a star map, using various mathematical formulas to compute positions of the stars and the moon and displays them on terminals, is discussed. Some relevant astronomical background and terminology are covered in order to aid understanding. (MP)

Surveys the development of mathematical and computer-oriented tools for historical scholarship in the Soviet Union. (MB)