Education Technology

Euler's Method Introduction

Published on 08/29/2011

Activity Overview

Visualize the graph of an approximate solution to a differential equation and estimate a specific value of a solution.

Objectives

  • Use Euler’s method to create a graphical approximation to the solution to a differential equation
  • Use Euler’s method to find an approximate numerical function value of the solution to a differential equation
  • Describe how various factors affect the accuracy of Euler's method, including initial condition and step size

Vocabulary

  • Euler’s method
  • differential equation
  • initial condition
  • step size
  • local linearity
  • concavity

About the Lesson

This lesson involves using Euler’s method to visualize the graph of an approximate solution to a differential equation and to estimate a specific value of a solution. Students visualize and make sense out of an important numerical technique in the study of elementary differential equations.