Math 04 - Ordinary Differential Equations Mathematica Laboratory

                                                          Let's pass through the quantum barrier

                                              Math Animation

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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
  10. Calculus Operations I
  11. Calculus Operations II
  12. Graphics I
  13. Graphics II
  14. Graphics III

Dynamical Features 

  1. Dynamic Modules
  2. Manipulate
  3. Locators

Differential Equations

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

Initial Value Problem Applications

  1. A Suspended Wire
  2. The Simple Pendulum
  3. Population Dynamics
  4. Electric Circuits
  5. Compartmental Analysis
  6. Motion under Gravity, Motion in a Medium

Systems Applications

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

Periodic Solutions

  1. Soft and Hard Springs
  2. Rayleigh’s Equation
  3. Van der Pol’s Equation

Interactive Dynamical Features in Differential Equations

  1. Varying Initial Conditions
  2. Varying Parameters
  3. Advanced Examples

Numerical Methods

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

These labs were updated, expanded and revised in January 2024 for use with Mathematica, version 13Wolfram Technology at Howard University | Howard University ...

ODE Laboratories: A Sabbatical Project by Christopher A. Barker, 2013      e-mail: cbarker@deltacollege.edu

ODE Laboratories: A Sabbatical Project by Nick Bykov, 2023                      e-mail: nick.bykov@deltacollege.edu