Resources for Ordinary Differential Equations

The sources below are among some of the best locations of sites dedicated to ordinary differential equations, online and on the computer.

General Sources

Math Forum: Differential Equations. The best Internet resources for differential equations: classroom materials, software, Internet projects, and public forums for discussion.

Links2Go: Differential Equations Includes a wealth of information about other links to ODE related sites, to journals, computer programs, college programs, and more.

Brook/Cole Online Source for Differential Equations Our aim is to develop the DiffEQ Resource Center to become the place where teachers and students of differential equations look first for the latest information. The DiffEQ Resource Center gives you quick access to a variety of useful information. Students and professors can participate in on-line Discussions, find out about differential equations Software, and find links to on-line Courses and Notes.

Special Sources

Phase Plane Demo for Matlab This freeware by John Polking at Rice University provides a means to interactively look at the phase plot of a user defined system of two ODEs. Predefined systems available are a linear system, vibrating spring, a pendulum, Predator-Prey, Competing Species, Van der Pol's Equation, and Duffing's Equation.

The Boston University Ordinary Differential Equations Project Project by Paul Blanchard, Robert L. Devaney, and Glen R. Hall, e-mail: This National Science Foundation Project is designed to produce a text and related materials for the first college course in Ordinary Differential Equations. Unlike most other texts in this field, this book approaches the subject from a dynamical systems point of view. Qualitative, analytic, and numerical approaches are stressed throughout in our approach to understanding solutions of differential equations.

Generic code (Fortran, C), for solving various differential equation approximations offered at the Netlibrary. Includes Runke-Kutta method, spline methods, power series method, etc

Arizona Mathematical Software Software Over the past few years, with the aid of faculty and students, we have been creating commercial level educational software for use in and out of the mathematics classroom. These programs can be used by instructors for classroom demonstrations as well as by students for exploration and solving problems. A major consideration in designing our software was to keep the number of (fumbling) keystrokes the instructor needs to make in front of the class to a minimum, particularly as far as entering numbers is concerned. Rather than create one massive comprehensive package that would take weeks of class time to learn, we decided to write many small packages. Each of these packages is designed to do one thing very well, and be used effectively with no, or minimal, training.

Ordinary Differential Equations (Web Study Guide) - Dept. of Mathematics, Oregon State University. This page reviews first- and second-order ordinary ODEs and Laplace Transforms, with references and a series of three calculus proficiency.
Differential Equations (calculus@internet - Mathematica) - Christopher A. Barker Mathematica Track. 1. Basics (Mathematica Overview; The Environment; Arithmetic; Using Variables; Working with Lists; Vectors & Matrices.
Differential Equations (S.O.S. Mathematics) - Dept. of Mathematical Sciences, Univ. of Texas at El Paso. An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and pre-college.
Lessons, Tutorials, and Lecture Notes (Mathematics Archives) - University of Tennessee, Knoxville (UTK) An extensive, alphabetical, annotated listing of sites providing course material for teachers and students of mathematics. Includes topics from almost.
Linear Methods of Applied Mathematics - Evans M. Harrell II and James V. Herod. An online textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations.

Learning Differential Equations with Maple by Jim Calvert, professor of Mathematics at the University of Idaho. A set of Maple.mws files for use by my students in an introductory class in Ordinary Differential Equations. The files consist of a series of interactive readings on using Maple to learn a particular DE topic. Associated with each reading file is another file of exercises on the topic.