Mathematics & Science Learning Center Computer Laboratory
	Numerical Methods—Euler's Method CONTENT GUIDE for EULER'S METHOD LABORATORY Theoretical Introduction to Numerical Solutions The Nature of Numerical Solutions An Example of a Numerical Solution Using Numerical Solutions The Pitfalls of Numerical Solutions Developing & Using Euler's Method Developing Euler's Method Graphically Deriving the Euler's Method Formulas Summary of Euler's Method A Preliminary Example by "Hand" An Example Mathematica Program The Program Results of Running the Program Designing an Euler's Method Program Designing the Output Designing the Input Getting from Input to Output The Program Itself Analyzing the Program Entering the Program into Mathematica Using the Program on the Preliminary Example A First Attempt The Results & Redisplaying with MatrixForm The Results of MatrixForm & Increasing the Accuracy More Accurate Results & Using Even More Steps Results of Using Even More Steps Exercises for the Student Solution to Exercise 1 Solution to Exercise 2 Solution to Exercise 3 Solution to Exercise 4 Solution to Exercise 5 Main Table of Contents for All ODE Laboratories
ODE Laboratories: A Sabbatical Project by Christopher A. Barker ©2009 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu