
Ordinary Differential Equations
Mathematica Laboratory


Select where you would like to start from the following list of options.



Mathematica Basics
 Mathematica Overview
 The Environment
 Arithmetic
 Using Variables
 Working with Lists
 Vectors & Matrices
 Algebraic Operations I
 Algebraic Operations II
 Functions
 Calculus Operations I
 Calculus Operations II
 Graphics I
 Graphics II
 Graphics III
Differential Equations
 Creating Slope Fields
 Solving Differential Equations Analytically
 Solving Initial Value Problems
 Solving Differential Equations Numerically
 Solving Systems

Initial Value Problem Applications
 A Suspended Wire
 The Simple Pendulum
 Population Dynamics
 Electric Circuits
 Compartmental Analysis
Systems Applications
 PredatorPrey Problems
 Epidemiology Problems
 Combat Models
Numerical Methods
 Euler's Method
 Heun's Method
 The RungeKutta Method




These labs were written for use with Mathematica, version 7. If you are using a different version you should find that most of the exercises will work with little or no change needed. Command inputs will usually be the same, while Mathematica's output may be different due to the fact that Wolfram Research continues to improve the software with each new release.
 
ODE Laboratories: A Sabbatical Project by Christopher A. Barker
©2009 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207,
USA
email:
cbarker@deltacollege.edu
