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 email@example.com.