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 cou...
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 pitfal...
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 c...
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 Jev...
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 makin...
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 ...
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. Al...
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...
Gradient Problems in Biology
Improvement and optimization are consistent themes throughout science. Entropy increases, an object falls to earth to...
Polynomial Models of Biological Growth
Courses in calculus have routinely covered applications not only for their own sake but also in response to the stude...
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 R...
Case Studies in Mathematics
The readers of this journal do not need to be persuaded that today's undergraduates not only must assimilate the beau...
Technical Text Editing
To the typical scientist or mathematician, the computer is a marvelous device for calculating and sorting: it can cru...
A Model for Atmospheric Temperature
A mathematical model can be a valuable tool in creating structure for a physical phenomenon, provided it capture sess...
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, ...
Flow System Integrals
One of the most important biological applications of integration is the determination of proper ties of flow systems....
Industrial Microbiology
This article was inspired by the September 1981 issue of Scientific American, which describes the applications of mic...
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 pow...
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, ...
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 alm...
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...
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 ...
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 e...
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...
The Mathematics Clinic: A Review of Its First Decade
Anyone who has attempted to teach realistic applied mathematics in a course has no doubt been impressed with the diff...
Tennis , Golf , and Loose Gravel: Insight from Easy Mathematical Models
Wimbledon watchers and tennis players cannot fail to be aware of the importance of the service. Players like Tanner a...
The Principal Axis Theorem
This article seeks to trace the historical development of the Principal Axis Theorem. It begins with the work of Rene...
Odds , Wagers , and the Horses
Although the origins of gambling are not recorded, there is evidence of it in the histories of most peoples. Dice wer...
The Standup Conic Presents: The Ellipse and Applications
This is the second paper in a series on the conic sections. The series is intended to be a dazzling potpourri of real...
Constructing Power Lines
Power lines are constructed by stringing the conductors from support to support in a continuous manner and then adjus...
A One Year Course in Mathematical Model Building
When the mathematics department of the University of Toledo revised its multi-track masters degree programs in applie...
Superior Beings , Their Powers , and the Problem of Evil: Can this be Mathematics?
The central question I pose in Superior Beings (Brams, 1983) is: If the reexisted a superior being who possessed the ...
A Case for Mathematical Modeling
In September, 1982, we mailed questionnaires to fortyfive departments of mathematics in Ohio, Kentucky, and Indiana t...