Education Technology

# Activities

• ##### Subject Area

• Math: Calculus: Applications of the Derivative

9-12

60 Minutes

• ##### Device
• TI-89 / TI-89 Titanium
• TI-92 Plus / Voyage™ 200

## Approximate Solutions: Differential Equations

#### Activity Overview

The base of the natural logarithm function, e, is called Euler's number, in honor of Leonhard Euler, a great Swiss mathematician. (Continued. See "before the activity.")

#### Before the Activity

While studying calculus, Euler wondered about graphical and numeric solutions to differential equations that cannot be solved symbolically through elementary methods such as separation of variables.

See the attached Activity PDF file(s) for detailed instructions for this activity.

#### During the Activity

Follow the procedures outlined in the activity.

Students will:

• Learn how to user Euler's method to solve differential equations that cannot be solved symbolically.
• #### After the Activity

• Review student results
• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary