 |
|
||||||||
 |
|||||||||
|
|||||||||
|
|
 |
|
|
Textbook-related linksThe publisher's student companion site for the Blanchard, Devaney, and Hall textbook contains additional content, on-line graphing tools, a brief on-line tutorial on using the TI-89 calculator, and links to other resources. Follett's UMass Amherst Textbook Annex web site. UMass linksU. Mass Amherst Mathematics and Statistics Department home page. Registrar's web site (final exam conflict policy) Calculator-related and computer-related linksTexas Instruments TI-89 Titanium features (manufacturer's site) Brief on-line TI-89 tutorial; another tutorial; a list of other tutorials. Independent TI calculator organization ticalc.org web site. The definitive source of information about Mathematica is the Web site of its publisher, Wolfram Research. Ordinary differential equations linksBoston University ODE Project Web site—includes errata for your textbook. MIT OpenCourseWare Differential Equations Course—a whole course on-line, including: lecture notes, streaming video of lectures (requires RealPlayer), and Java "mathlets" (some similar to the applets on your textbook's CD). Top-notch stuff! You can easily draw phase portraits for systems of two ODEs using the Java applet on this page at the BU ODE Web site. (May be slow to load; requires Java plug-in.) JODE, an applet for studying ODEs, by Marek Rychlik. (Use it on-line or download it to use locally.) On-line Matrix Calculator at WIMS finds exact eigenvalues and eigenvectors. Two on-line visual differential equation solver applets by Paul Falstad. (Require Java plug-in.) Index of online differential equations resources (from the Math Forum). Articles "Differential equation" and "Ordinary differential equation" from Wikipedia. Index of materials about ordinary differential equations (from MathArchives). Mathworld article about ordinary differential equations that includes many examples. The Addison Wesley Longman web site Interactive Differential Equations, including applets by Beverly West (Cornell), Steven Strogatz (Cornell), Jean Marie McDill (Cal Poly), and John Cantwell (St. Louis Univ.). Includes an applet illustrating a critically damped harmonic oscillator. Dartmouth Prof. Richard Williamson's applets on differential equations appear among his Interactive Math Programs. Penn State Prof. Moses Glasner's differential equations applets. A phase portraits applet, by by Richard Mansfield and Frits Beukers, that handles autonomous two-dimensional systems. It shows simultaneously, in separate windows, both the trajectory in the phase plane and the coordinate solution functions x(t) and y(t). The Connected Curriculum Project: modules in calculus from Duke University and Montana State University (the latter developed by Frank Wattenberg, formerly of UMass). Many of these modules presume use of a "computer algebra system" such as Mathematica or Maple, but for some a graphing calculator will suffice. Lots of connections of calculus to the "real world" here. At the Duke site, among the list of Modules, see the link to Differential Equations. At the Montana site, see the chapter on Continuous Models in the material about Mathematical Modeling; see there also the sections "Newton's Model of Cooling—Separable and First Order Linear DEs", Two—Second Order DSs and Systems of Two First Order DEs", "OUtside Forces—Undetermined Coefficients and the Laplace Transform", and "Real and Complex Eigenvalues" in the material about Multivariable Calculus, Linear Algebra, and Differential Equations. Find another good online applet or other online resource about differential equations? Let me know! Just for "fun" (?) |
|
|
Top of page |
|
|
|
|
|
|
Copyright © 2005 Murray Eisenberg |
||
|
|
||