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…

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)

Examples of computer applications to solving real-world problems as generated by students at the Asian Institute of Technology (AIT) are featured. (MP)

The conception, objectives, contents, and limitations of a degree program in the mathematical sciences at Pennsylvania State University, Capitol Campus, are discussed. Career goals that may be pursued include: managerial, science, education, actuarial, and computer. (MP)

The introduction of an instructional computing strategy at Duke University that led to identification of three levels of user subsets and establishment of equipment clusters is described. Uses of the system in establishing computer literacy and special applications in chemistry, computer science, and the social sciences are reviewed. (MP)

Describes an approach to teaching interactive computing for physics students beginning with the use of BASIC and video terminals during the first year of study (includes writing solution programs for practical problems). Second year students learn FORTRAN and apply it to interpolation, numerical integration, and differential equations. (JM)

This article considers the sum of a finite geometric series as applied to numeric data storage in the memory of an electronic digital computer. The presentation is viewed as relevant to programing in several languages and removes some of the mystique associated with syntax constraints that any language imposes. (MP)

Outlined are the extensive provisions that have been made for the past sixteen years, degree-level studies in mathematical sciences under the auspices of the National Council for Technological Awards and the Council for National Academic Awards. (JP)

The critical role of computers in scientific advancement is described in this panel report. With the growing range and complexity of problems that must be solved and with demands of new generations of computers and computer architecture, the importance of computational mathematics is increasing. Multidisciplinary teams are needed; these are found…

These modules view aspects of computer use in the problem-solving process, and introduce techniques and ideas that are applicable to other modes of problem solving. The first unit looks at algorithms, flowchart language, and problem-solving steps that apply this knowledge. The second unit describes ways in which computer iteration may be used…

This SMSG study guide is designed to aid the teacher in acquiring familiarity with digital computer concepts or to further his/her knowledge of the field. Suitable references for important topics are categorized as central, peripheral, or advanced. Topics covered include: (1) nature and organization of computers; (2) problem analysis; (3)…

Describes the approach used in a doctoral seminar on designing instructional software for problem solving in mathematics. Explains how a five stage software development model was followed for producing materials. Includes student evaluations of the course. (ML)

Describes the nature and use of computer algebra and its applications to various physical sciences. Includes diagrams illustrating, among others, a computer algebra system and flow chart of operation of the Euclidean algorithm. (SK)