For the student wondering why anyone would want to know anything about complex numbers, here's a real-world application. Electrical reactance and resistance combine as impedance, and this lesson shows how these quantities can be combined using polar coordinates, Cartesian coordinates, complex numbers, and the Pythagorean Theorem.
The underlying electrical concepts are explained, so this lesson can be used with no background other than the mathematics involved. It will also be helpful for physics teachers presenting AC theory.
Includes discussion of the concepts, an example, and six problems for the student to solve.