Although the origins of gambling are not recorded, there is evidence of it in the histories of most peoples. Dice were invented by the Ancient Egyptians, sports betting was common throughout the Greek and Roman empires, and carnival games were popular...
Power lines are constructed by stringing the conductors from support to support in a continuous manner and then adjusting the tension in the wire in each span (gap between poles or towers) consecutively. This tension is maintained by tying the...
Increasingly, students of biology, natural resources, health sciences and other applied life sciences are taking calculus. Such students appreciate biological applications, especially since most textbooks rely on a standard set of examples common to...
When the mathematics department of the University of Toledo revised its multi-track masters degree programs in applied mathematics in 1978 into a single track program, two courses in mathematical modeling were introduced. One was a course in continuous...
The central question I pose in Superior Beings (Brams, 1983) is: If the reexisted a superior being who possessed the supernatural qualities of omniscience, omnipotence, immortality, and incomprehensibility, how would he/she act differently from us, and...
In September, 1982, we mailed questionnaires to fortyfive departments of mathematics in Ohio, Kentucky, and Indiana to discover where and how mathematical modeling is taught to undergraduates. Of ten replies, seven came from departments offering...
Even the best and most applications-oriented calculus textbooks, e.g. [I], do not provide any real world applications of L'Hopita11s Rule. In our view, the reason for this state of affairs is that most of the rule's applications occur later in the...
The study of combinations and permutations has fascinated scholars of all disciplines since ancient times. Within the seventeenth and eighteenth centuries, many music theorists used combinational and permutational techniques to arrange notes in to...
This presentation, centered on Fibonacci number theory and its applications. aims at instilling in beginners' minds the best and perhaps the only enduring motive to read mathematics, which is the aesthetic motive, by showing to them an anthology of...
An industry involved in defense systems can produce a detector that behaves as if it were a circle and knows when an object passes through that circle. The engineer who related this development to us indicated that the cost of production for such a...
The Office of Publications of Local College makes the following statement: Although our College is large, its individual departments are small enough to promote close working relationships among the academic staff. Our average department size is only...
In this paper we develop a model for the response of a diabetic patient to medical therapy. The main tools for the model development come from elementary concepts of statistical theory. calculus. and differential equations. Using a simple step function...
From early experiences of dropping sticks into a river and watching their passage downstream, or later it becomes evident that the speed at which the water flows may vary considerably across its width. For a straight stretch of river the flow will...
Following corneal transplants and cataract surgery patients are often left with considerable astigmatism. There are a variety of surgical techniques for correcting this problem. but only recently have mathematical models been dweloped to predict how...
Each year, North Lake College (Irving, Texas) offers a Mini-College at which time seniors from nearby high schools visit the college for part of a day. During their visit, the students select and attend two half-hour Mini- College courses and...
In recent years there has been renewed interest in finding alternative sources of energy to those provided by fossil fuels and nuclear power. To anyone living near the sea, the interest has centered on the energy in the waves and the tides, but to...
It is a well-known fact that mathematics, particularly in the last century, has shown a definite tendency to separate from the physical world and to create its own subjects of study. This tendency has been reflected intensively in the field of...
In 1968-72 all books published throughout the world began to receive coded ten-digit numerical labels called International Standard Book Numbers (ISBN's). For example, the ISBN of the text Multivariable Mathematics by Williamson and Trotter is...
The moon, viewed from the earth, always presents the same face; but this face is perceived as tilted at different angles to different observers at different times. Given a few (oversimplified) astronomical facts, it becomes a purely mathematical...
Until relatively recently, the development of mathematics was inextricably intertwined with the development of physics, and many fundamental developments in mathematics can be seen as answers to questions arising in physics. This unreasonable...