The Vibrating String as the sum of travelling waves

[Mr.] Lynn C. Kurtz, Ph.D.

Department of Mathematics and Statistics, Retired
Arizona State University
Tempe, AZ 85287

Introducing complex numbers

Confused about complex numbers or how to teach the topic? Click on Complex Numbers to read about a natural approach to complex numbers. If you want to print that article, click on pdf version for a pdf document to print.

Impedance in AC circuits

Using same ideas and notation as in the complex numbers article above, the article Alternating Current Impedance gives a tutorial about why impedance can be modeled with complex numbers. You will need to have some familiarity with Calculus to get the full benefit from that article.

Flying in the wind

Here's a nice extra credit problem or project for a Calculus III student. The problem is to show that it takes more time to fly an airplane over a closed course in a steady wind than if there were no wind. If you want to see if you can show it yourself, do so before looking at the solution for Flying in the Wind.

Click here to see how it all ends.

Send e-mail to