## Tutoring on Euler’s Method

Learning Objectives:

#### Understand and apply Euler's Method

Math Tutoring on Euler’s Method

Euler’s Method is a method used to approximate a solution to an Initial Value Problem. The method starts at a point in a Slope Field and takes small steps of  . The Slope is updated at every new x-value. The size of  determines the accuracy.

Steps to approximate a solution using Euler’s Method –

Given  and with step size:

1.    Find.

2.    Use  to find the slope.

3.    Find the next point  using,

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Hook Questions:

1.    What is the utility of Euler’s Method?

2.   Which determines the Accuracy of Euler’s Method?

3.   What are the steps to approximate a solution using Euler’s Method?

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