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Math Beyond School
math beyond school

The following is a listing of all the articles available:


PIMS article
Knowledgeable Gambling: Independent vs Dependent Events
Math allows players to make knowledgeable bets when playing games of dependent events, such as Poker or Blackjack. Independent events remind gamblers that there is no guarantee of winning.
Leonardo DaVinci and the Golden Section
Leonardo DaVinci created many masterpieces that depicted the golden ratio and other elements of mathematics.
Linear Programming
Linear Programming is using linear equations and inequations to maximize profits and minimize costs. Linear Programming is an important part of operations research.
Lithotripsy - A Medical Application of the Ellipse
Lithotripsy is the process of fragmenting painful kidney stones. The lithotripter is successful because of the reflective property of an ellipsoid.
Long Range Navigation System
Three stations, located along the coast, use hyperbolics branches to locate ships at sea. This system is known as Long Range Navigation (Loran).
Making Enough: Working with Recipes
Working with recipes and fractions to produce just the right amount of food.
Making Money with Benjamin Franklin
Benjamin Franklin relied on compound interest to leave a hefty donation to the cities of Boston and Philadelphia in 1790. Compound interest is what makes people (and banks) money.
The Manufacturing Industry
The manufacturing industry relies heavily on advanced mathematics and linear programming. This is a small listing of the many industries that use linear programming in their operations research.
The Mathematics of Art
The link between mathematics and art can be realized by considering artists like Leonardo DaVinci and M. C. Escher, as well as through the golden ratio and the Fibonacci sequence.
Math in the Kitchen
The mathematics involved in cooking is very broad and includes making conversions, working with numbers in recipes, operations with fractions, and estimating time and cost, among other things.
Math in the Squad Car
While on patrol, police officers need to apply their math skills for a variety of tasks.
M. C. Escher - Impossible Mathematical Art
Playing with impossible spaces, Escher became an artist famous for abstract pieces that mystify the mind and play with our perception. Using his naked eye and basic art tools, he was mathematically correct, to the millimeter.
Medicine and Math
Doctors and nurses use math every day, doing routine tasks such as writing prescriptions or administering medication to patients. Math can also be seen in more advanced medical procedures such as CAT scans and the treatment of kidney stones.
Moored Ships
Mooring large ships both in open water and at port is an issue of safety. The problem finds how to safely constrain a ship at dock, minimizing itís movement to ensure that it can safely be loaded and unloaded.
Music, Math, and Patterns
We use math to read music, to describe and define music, and to create beauty witin music. Math and music relate through patterns.
Two successful navigation systems known as Loran (Long Range Navigation) and GPS (Global Positioning System) are based on the principles of the hyperbola and the circle, as well as the idea of trilateration.
Piped Water Cooling of a Concrete Slab
Concrete is the most widely used building material in the world. Through a process called mineral hydration, the cement bonds the other components together and forms a rock like structure known as concrete. The reaction between cement and water is highly exothermic so if the hydration process occurs too quickly the concrete will not form strong bonds. It is desirable to slow down the reaction by cooling so the structure of the concrete will not be compromised.
Piped Water Cooling of a Concrete Slab
Water cooling of a concrete slab
The Police
Officers in the Royal Canadian Mounted Police (RCMP) use a variety of math concepts everyday in their line of work. They use math while on patrol and more specifically in accident reconstruction and crime scene investigation.




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