Delta College
Differential Equations
Mathematica Laboratory

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

  1. Mathematica Basics

    1. Mathematica Overview
    2. The Environment
    3. Arithmetic
    4. Using Variables
    5. Working with Lists
    6. Vectors & Matrices
    7. Algebraic Operations I
    8. Algebraic Operations II
    9. Functions I
    10. Functions II
    11. Calculus Operations I
    12. Calculus Operations II
    13. Graphics I
    14. Graphics II
    15. Graphics III

  2. Differential Equations With Mathematica

    1. Creating Slope Fields
    2. Solving Differential Equations Analytically
    3. Solving Initial Value Problems
    4. Solving Differential Equations Numerically
    5. Solving Systems

  3. Initial Value Problem Applications

    1. A Suspended Wire
    2. The Simple Pendulum
    3. Population Dynamics
    4. Electric Circuits
    5. Compartmental Analysis

  4. Systems Applications

    1. Predator-Prey Problems
    2. Epidemiology Problems
    3. Combat Models

  5. Numerical Methods

    1. Euler's Method
    2. Heun's Method
    3. The Runge-Kutta Method
 

These labs were written to be used with the computer algebra system Mathematica, version 4.1. If you are using an earlier or later version of the Mathematica software you should find that almost all of the exercises will still work with little or no change needed. Command inputs will be the same, while Mathematica's output may be different in certain exercises due to the fact that Wolfram Research continues to improve the software's internal algorithms with each new release.

ODE Laboratories: A Sabbatical Project by Christopher A. Barker
©2002 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA
e-mail: cbarker@deltacollege.edu; WWW: http://mac205.sjdccd.cc.ca.us/ODE/ODE-h.html