More Than a Process Two days after stepping into my role as Executive Director of COMAP, I found myself in a classroom at Pui Kiu College in Hong Kong, sitting with five secondary school modeling teams and their advisors. These students had recently...
A number of basic measurements are used in describing populations and populated communities. Among these are population density, abundance of particular species, distribution of species, population size, and population age structures. Ecologists call a...
When two water (or other solvent) volumes are separated by a semi-permeable membrane, water will flow from the side of low solute concentration to the side of high solute concentration. This is known as osmosis. The flow of solvent across the membrane...
Cars, trucks, motorcycles, and buses emit significant quantities of carbon monoxide (CO), hydrocarbons (HC), nitrogen oxides (NOx), and fine particles (PM). These chemical compounds play dominant roles in air pollution problems. In the densely...
This remark highlights the remarkable resemblance of Fourier series to Ptolemy representation of the motion of a planet. We may say that Ptolemy anticipated Fourier analysis some sixteen centuries ago [Zebrowski 2000]. Perhaps Lagrangewas the first to...
Contents 1. Setting the Scene 2. Background 3. Mission 3.1 Track Facts 3.2 Tire Performance 4. Requirements References Sample Solution Notes for the Instructor Acknowledgment About the Authors
This article describes a coordinate transformation problem that arose while I was working in the summer of 1978 a t Raytheon on the computer software for an airtraffic control radar system for West Germany. The key to solving the problem was a 3x3...
Telemetry is the process of gathering data from an isolated location and sending it to a central location where it can be analyzed. We first outline how a telemetry system might work and then use a Fourier sine series to solve a mathematical problem...
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. Various other items get bolted t o these, such as the carburetor, pan, exhaust manifolds, rods, pistons, crankshaft, and the...
This is the second paper in a series on the conic sections. The series is intended to be a dazzling potpourri of realworld applications and examples. The conic sections should nwer be called the chronic sections.
Diane Carswell is reluctant to learn about auto mechanics for the purpose of repairing her own vehicle, but she wants to know enough about cars to ask the right questions, to ensure that her vehicle will be serviced properly.
This is the third papr in a series on the conic sections. This series contains 'real-world applications of these beautiful and fascinating curves. May we all become conicsseurs.
Putting messages or data into coded form usually calls to mind the cloak and dagger world of spies and secret communications. But there are reasons besides secrecy for using codes. Sometimes the technology we choose to use forces coding upon us. Morse...
The birthday paradox is well known and appears in many popular books on mathematics. In the form in which it is most commonly stated, it says that if 23 (or more) randomly chosen guests attend a party, then the probability of two of them sharing the...
This paper surveys the landscape of courses outside the track leading to calculus, describes an offering of a Finite Mathematics course that featured environmental modeling, discusses what such a course requires from an instructor and from students,...
Ah, the conic sections! Everyone knows (beware of statements that begin with the phrase Everyone knows . . . !) that these beauties, discovered so long ago by the ancient Greeks, are ubiquitous throughout mathematics. They show up in geometry and...
We use a single example to explain: *the Likelihood Principle *Bayesian statistics, and *why classical statistics cannot be used to compare hypotheses. Table of Contents: INTRODUCTION THE SLATER SCHOOL THE LIKELIHOOD A BAYESIAN ANALYSIS A NON-BAYESIAN...
A computer program that produces realistic pictures of opaque objects was implemented in the Lisp language. This type of program is called a hidden line remover. I explain what a hidden line remover does, how features of Lisp made it easier to develop,...
Many problems that the world faces today, such as hunger, pollution, resource scarcity, poverty and violence, are related to rapid population growth. Hence it is essential that students be aware of population-related issues and concepts.