This video will explain the process of linearization and linear approximations. It will demonstrate how to create a linear representation of non-linear data.
How do pilots fly a plane when the autopilot isn't working? How do they quickly make the calculations necessary to stay on course and arrive safely at their destinations? By using linearization, a pilot turns a difficult calculation into a simple one and corrects his flight path.
This informational material will apply a mathematical modeling concept--linearization of a non-linear function--to the real-world problem of pilots creating flight paths. There is a video and links to additional information included.
Suppose you absolutely needed to know the value of the square root of 19 but all you had was pencil and paper, no calculator. Could you calculate it? With your current understanding of the derivative as the slope of a tangent line, you should be able to. Try computing √19 without a calculator; then compare your result with this concept's method of linearization and a calculator.
This informational material will explain how to create a linear representation of non-linear data, using technology and by-hand calculations. There is a corresponding video available. Practice questions with a PDF answer key are provided.
