Real-World Math Tutorials
Teachers and parents are always looking for
real-world examples of mathematics. We've prepared several tutorials
that demonstrate how math is really used. The tutorials are aimed
primarily at older kids (high school, and even
college), ranging from simple logic problems to using calculus to model
complicated systems. All of these tutorials are provided free of
charge for your use.
 Problem Solving for Kids
This paper covers some key points in solving problems - stressing
solution of real, not textbook, problems. Example software is included.
Grades 4 and up.
A Look at Real-World Problem Solving
A rigorous, mathematical approach to the trajectory
problem used in Problem Solving for Kids.
Requires algebra and trigonometry.
Grades 10 and up.
Another
Look at Real-World Problem Solving
A numerical approach to the problem
studied in A Look at Real-World Problem Solving. Requires pre-calculus and
trigonometry. Grades 10 and up.
Mathematics
of Robot Arms
A study of the mathematics behind the
modes of robot arm operation. Studies trajectory planning. Requires algebra
and trigonometry skills. Grades 10 and up.
Home Heating Mathematics
The math behind thermostats
and furnace operation. Examples illustrate computing temperature changes
within a home. Grades 6 and up.
Satellite Orbit Problems
The dynamics behind satellite
motion illustrating typical orbits, orbit transfers and rendezvous problems.
Grades 6 and up.
Pendulums and Complex Numbers
How complex numbers are used
in a real problem - pendulum motion. Need familiarity with quadratic
equations. Grades 9 and up.
Solving Problems Numerically
Discussion of numerical
methods for solving "unsolvable" problems. Illustrated with rocket
engine example and coordinate conversions. Grades 10 and up.
Fractals from Polynomial Solutions
An illustration of the beauty
of math - how solving for the roots of a polynomial can generate beautiful
fractal graphics. Requires some algebra. Grades 10 and up.
Chaos in a Real System
How something as simple as a water
wheel can exhibit chaotic, strange behavior. Has detailed dynamics equations
to build a simulation. Grades 11 and up.
Computing Airplane Stopping Distance
How derivatives can be applied
to real-world problems. We discuss curve fitting and braking requirements
for a jetliner. Requires basic calculus skills. Grades 11 and up.
Computing Airplane Takeoff Speeds
Ever wonder how a pilot knows
how fast the airplane needs to be going prior to takeoff? This
tutorial teaches the basics. Requires knowledge of polynomials. Grades 9 and
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