This page contains links to two "lectures" dealing with Euler's Method. Leonhard Euler was a most prolific mathematician who lived from 1707 to 1783. You may find out more about his life by going to  Euler . The information about Euler is part of an extensive site dealing with the history of mathematics. You may well find it of interest to browse History of Mathematics .
 

The first lecture deals with the Simple Euler Method .

The second lecture deals with an improvement of this method and is Improved Euler Method .

You may download the Scientific Notebook file from which these lectures were made from  SNB Euler .