These laboratory projects are suitable for the junior-senior level undergraduate ordinary differential equations course. The labs are written in Mathematica 3, but I plan to upgrade them to Mathematica 4 in the near future.
Topics:
First Order Linear Differential Equations
Solution of Exact Differential Equations
The Logistic Equation
The Population Model with Harvesting
Projectile Motion and Air Resistance
Numerical Approximation Methods for Differential Equations
Linear Differential Equations with Constant Coefficients
The Method of Undetermined Coefficients
The Method of Variation of Parameters
Mechanical Vibrations
Systems of Differential Equations
Spring - Mass Systems
The Compartment Model
Earthquake Induced Vibrations on Buildings
The Eigenvalue Method for Solving Differential Equations
The Matrix Exponential Solution of Differential Equations
Solution of Differential Equations using Laplace Transforms
Laplace Transforms Solution of Differential Equations Involving Square Wave Pulses
The Convolution Theorem for Laplace Transforms
Power Series Solution of Ordinary Differential Equations
Frobenius Series Solution of Ordinary Differential Equations
For the newest resources, visit Wolfram Repositories and Archives »
