Calculus: An Infinitesimal Model for Teaching
It is a well-known fact that mathematics, particularly in the last century, has shown a definite tendency to separate f…
Implementation of A Hidden Line Remover
A computer program that produces realistic pictures of opaque objects was implemented in the Lisp language. This type o…
Population Growth, Tree Diagrams and Infinite Series
Many problems that the world faces today, such as hunger, pollution, resource scarcity, poverty and violence, are relat…
International Standard Book Numbers
In 1968-72 all books published throughout the world began to receive coded ten-digit numerical labels called Internatio…
What's Up , Moonface?
The moon, viewed from the earth, always presents the same face; but this face is perceived as tilted at different angle…
Case Studies in Lower-Division Mathematics: A Bibliography and Related Teaching Issues
Recent articles in mathematical journals have reported the integration of industrial case studies within academic mathe…
Dynamics: Throwing Javelin, Putting the Shot
Mathematical models from mechanics offer a number of advantages: they are usually easy to interpret in physical terms…
Models for Social Networks: Mathematics in Anthropology and Sociology
Until relatively recently, the development of mathematics was inextricably intertwined with the development of physics…
The Karmarkar Algorithm: New Issues in the Computational Complexity of Linear Programming
There is a great deal of excitement in the mathematical air concerning a new algorithm for linear programming. Big city…
A Combinatorial Application of Linear Algebra
The purpose of this paper is to present an application that I have used many times while teaching an introductory cours…
Personal Decisions / Medical Decisions: Consider the Analytic Hierarchy Process
This article describes the analytic hierarchy method for personal decision making and discusses the values and pitfalls…
Teaching Medical Students to Make Rational Decisions
For several years the Department of Biophysical Sciences at the State University of New York at Buffalo has given a cou…
The Secret Marriage
In the manner of a large rock dropped into a tranquil pool the intellectual stir created in the 1870's by Stanley Jevon…
Measuring Cardiac Output: The Refinement of a Mathematical Model
The process of building a mathematical model is normally an iterative one: the model is refined successively by making…
Stability of Membership in Congress, 1789 Onwards
The American constitutional experience began as a great experiment. The United States was the first nation to launch re…
A UMAP Course Report
This is a report on a graduate course I taught during the summer of 1980 in which UMAP modules were the sole text. Alth…
Calculator Demonstration of Numerical Stability
The proliferation of hand-held calculators gives new relevance and urgency to the plea of the late G.E. Forsythe that u…
Gradient Problems in Biology
Improvement and optimization are consistent themes throughout science. Entropy increases, an object falls to earth to m…
Polynomial Models of Biological Growth
Courses in calculus have routinely covered applications not only for their own sake but also in response to the student…
A Coordinate Transformation Problem in Air Traffic Control
This article describes a coordinate transformation problem that arose while I was working in the summer of 1978 a t Ray…
Case Studies in Mathematics
The readers of this journal do not need to be persuaded that today's undergraduates not only must assimilate the beauti…
Technical Text Editing
To the typical scientist or mathematician, the computer is a marvelous device for calculating and sorting: it can crunc…
A Model for Atmospheric Temperature
A mathematical model can be a valuable tool in creating structure for a physical phenomenon, provided it capture sessen…
The Instructional Microcomputer Laboratory at the UCSB Algebra Institute
The term microcomputer can reasonably apply to the small integrated circuits or chips, based on solid-state physics, us…
Flow System Integrals
One of the most important biological applications of integration is the determination of proper ties of flow systems. A…
Industrial Microbiology
This article was inspired by the September 1981 issue of Scientific American, which describes the applications of micro…
Math Applications: A Case Study of the Soviet-American Arms Race
The use of mathematics as a research language in the social sciences is only now coming into its own, despite the power…
Conditional Probability and Medical Tests: An Exercise in Conditional Probability
The intuitive appeal of the definition is demonstrated routinely by means of simple examples involving card drawing, di…
Introducing the Computer into the Undergraduate Mathematics Curriculum
Suffolk Community College has just completed a major, three-year project to incorporate the use of computers into almos…
Milling Heads on a V-2N Engine
The four major parts of a V-6 or V-8 engine are the block, the intake manifold, an3 the two heads, as shown in Figure 1…
There Are Infinitely Many Primes
When one asks the question, What do mathematicians do? the immediate answer given by most is that they prove theorems…
Mathematical System Analysis - A Course
This paper deals with the philosophy and content of a one semester senior level course entitled Mathematical Systems An…
Stocks vs Flows : How Long Do Students Remain in School?
The question in the title is intentionally ambiguous. Whom are we interested in--entering students or those already enr…
The Calculus of Leaves: A Modeling Project for a Calculus Class
When I taught a calculus class composed mostly of biology students, I looked for a project wherein the students could c…