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 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. 

Math in the Squad Car 

While on patrol, police officers need to apply their math skills for a variety of tasks. 

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 it’s 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. 

Navigation 

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. 

Ratios and Proportions Used in Medicine 

Nurses particularly use proportions on a regular basis when following doctor's orders. 

Reading Notes in Musical Pieces 

Time and fractions are important elements to understand when reading music notes. 

The Richter Scale  Measuring Earthquake Magnitude 

Earthquake scientists use logarithms when they measure the strength of an earthquake on "Richter Scale." That means that a magnitude 9 earthquake, like the big 2004 Indian Ocean Earthquake, is ten times as powerful as a magnitude 8 earthquake. 

Spelunking 

Spelunking is a recreational sport in which "spelunkers" explore systems of caves, either on land or underwater. This problem deals with the idea of finding a spelunker who has become lost in a system of caves. The general idea is that the spelunker is lost in a cave system that has been mapped out on previous expeditions, so that when a search party is sent in, they know all the corridors and paths that they can take within the system. 

Suspension Bridges 

Suspension Bridges encompass many mathematical concepts including its parabolic shape, the length and measurements of the bridge, the forces acting on the bridge, and elements of weather. 

Symmetry in Design 

Symmetry includes more than just basic line symmetry and can be seen in frieze patterns, chaos, and more complex forms of symmetry including rotational, spiral, cylindrical, chiral, similarity, and translational. Finding these different patterns requires mathematical transformations. 

Understanding Prescriptions and Medicine 

When writing prescriptions and ordering medication for patients, doctors must know how to complete accurate conversions, understand percentages and geometric sequences, and work with ratios. 

Using Math to Find Your Body Mass Index (BMI) 

Although there are advanced machines that digitally find a person's BMI, you can also find it manually using an equation. 
