Math 231A
Differential Equations
Fall, 2003

* Course information

Course syllabus
Course calendar
Homework assignments
Solutions to selected exercises: PS8 and 9 | PS10 | PS15 | Inverse Laplace transform worksheet
KnightVision (for access to exam solutions, scores on assignments, etc.)
Professor Scofield's homepage

* Class notes

Applying the Runge-Kutta method to a system of two 1st-order ODEs
The essential linear algebra for systems of 1st-order linear ODEs
Mathematica notebook on forced vibrations

* Mathematica notebooks:

An implementation of Euler's Method for a 1st-order IVP
An implementation of the 4th-order Runge-Kutta Method for the same 1st-order IVP
A 4th-order Runge-Kutta Method for a system of 1st-order DEs (2-body planetary problem)

* Java applets:

A simple graphing applet
A Direction field/solution curve plotter for first-order DEs | other applets by Richard E. Williamson
Direction field/phase plotting applet for 2-dimensional systems of 1st-order DEs

* Simulations:

Tacoma Narrows Bridge (quicktime movie)
Simulations (applets) at myphysicslab.com

* Software:

Download page for DynPac, a package of add-in commands to Mathematica for DEs
Homepage for Scilab, a powerful package for linear algebra

* Other useful links

Some help with lists and plotting them in Mathematica
Multivariable calculus, linear algebra and DEs, from the Connected Curriculum Project
Online Mathematica integrator

This page maintained by:
Thomas L. Scofield
Department of Mathematics and Statistics
Calvin College

Last Modified: Saturday, 10-Dec-2005 17:32:07 EST