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
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e-mail:
cbarker@deltacollege.edu