Introduces a model of differential equations for students--a very real overpopulation problem is occurring in the Ndumu Game Reserve in KwaZulu-Natal, South Africa, where one species of antelope, the Nyala, is crowding out another species, the Bushbuck. Constructs a competing species model to mathematically describe what is occurring in Ndumu.…

Adds a cropping or harvesting term to the animal overpopulation model developed in Part I of this article. Investigates various harvesting strategies that might suggest a solution to the overpopulation problem without actually culling any animals. (ASK)

Describes a rich, investigative approach to multivariable calculus. Introduces a project in which students construct physical models of surfaces that represent real-life applications of their choice. The models, along with student-selected datasets, serve as vehicles to study most of the concepts of the course from both continuous and discrete…

A research project is being conducted to construct a mathematical model of the operations of an academic library to be used in making managerial decisions. As part of this project, this report examines Bradford's Law of Scattering and the fall-off of use of documents as they age. A series of mathematical analyses indicate how these two laws can be…

The multivariate general linear hypothesis (MGLH) has received relatively little utilization in educational research and evaluation. This is surprising in view of the fact that recent publications have made the MGLH tractable by practitioners. This paper seeks to stimulate interest in the MGLH by reviewing recent applications, emphasizing the…

Statistical methods that can be applied in the sequential analysis of multivariate empirical data are provided. Twenty-three specific formulas for use under varying conditions are discussed. A historical sketch of sequential analysis since World War II and a bibliography are included. (AE)

The primary objectives of this paper are pedagogical: to provide a reliable semi-subjective transformation procedure that might be used without difficulty by beginning students in factor analysis; to clarify and extend the existing knowledge of oblique transformations in general; and to provide a brief but meaningful explication of the general…

The author calls for teachers to seek changes in the content of school mathematics curriculum which will reflect the growing diversity of mathematical application. Two examples of such application which can be described by simple mathematics and involving easy manipulation are given. (MN)

Summarizes the Ising model of ligand binding as it applies to cooperative binding to long chain molecules. Also presents some illustrations which help to visualize the connection between the interaction parameters and the shape of the binding isotherm. (Author/MR)

A precise method of determining absorption maxima where Gaussian functions occur is described. The method is based on a logarithmic transformation of the Gaussian equation and is suited for a mini-computer. (MR)

Described are various common misconceptions about the nature of mathematics and suggests that courses or activities based on model building might help change these. Two examples are offered. (SD)

Shows how, with little or no electrical background, students can apply Boolean algebra concepts to design and build integrated electrical circuits in the classroom that will reinforce important ideas in mathematics. (PK)

Two models are presented that can be understood by students who have completed second-year algebra, as well as by calculus students. The predator-prey population model and the arms race model are included, with a computer program given for each. (MNS)

Ways are suggested in which economists and applied mathematicians construct and use models to study the economy. Several models are developed, each accompanied by a BASIC computer program to test its assumptions. (DT)

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…