# Calculus and Differential Equations:

Everyday Examples in Engineering

## Lesson Plans

This section contains lesson plans and solutions, most of which have been prepared using the principle of the 5Es: Engage, Explore, Explain, Elaborate and Evaluate (1).

### Differential Equations

### Fourier Series Expansions

## Ideas for Lesson Plans

This section lists potential ideas that could be used to illustrate engineering concepts. Consider these ideas as you create your own lesson plans.

### Differential Equations

- Braking*
- Drum Vibration, Violin Strings*

**Source: Ilene Busch-Vishniac, Tom Kibler, Patricia B. Campbell, Eann Patterson, Darrell Guillaume, Jeffrey Jarosz, **Constantine Chassapis, Ashley Emery, Glenn Ellis. Horace Whitworth, Susan Metz, Suzanne Brainard & Pradosh Ray*

(1) Atkin, J.M. and Karplus, R. (1962). Discovery or Invention? *Science Teacher,* 29(5):45.