Math 23: Resources - FALL 2007

BOOKS: The only required one is Elementary Differential Equations and Boundary Value Problems (8th edition) by Boyce and DiPrima (Wiley, 2004), available at Wheelock Books in town. There is a Student companion site with reviews, quizzes, Matlab and other files, by chapter.
Some other optional interesting-looking (but untried by myself) books include Selwyn Hollis and John Polking et al.
Previous versions of this course (scroll down to Math 23).
MIT's excellent OpenCourseWare Diff Eq 18.03 course including complete lectures, videos, worksheets.
Steve Zelditch's ODE course uses our book, and has his own lecture notes, practise exams, and HW solutions.
My 1-page intro to 2-by-2 matrices.
Rob Hladky's crash courses on basic ODE terminology and partial derivatives.
Craig Tracy's elegant course notes on ODEs.
Russian solution techniques compendium EqWorld (go to ODEs, PDEs, etc).
Some Quicktime movies of ODE systems and applications.
John White's Diff Eq course notes.

Java applet versions of dfield and pplane that let you numerically explore 1-variable and 2-variable ODEs in your browser.
Printing out stuff at Greenprint stations and info on installing Greenprint to your computer.
Online graphing applets (quick and dirty): fooplot. Matlab code to plot a simple graph: graph.m

Download the software from Dartmouth; we have 100 or so on-campus licenses (to work you must be online in dartmouth.edu domain).
Susan A. Schwarz (email her if you have Mac OS 10.2 or earlier for install CDs) can help with installation issues.
Bent Petersen's Matlab starter page
Robert Higdon's nice introductory notes
Dartmouth's Academic Computing Center's own Matlab tutorial sessions Oct 4, 4pm (scroll down; sign up).
My 1-page intro.m code, and 1-page intro code from Linear Algebra (shows simple loops).
Guide from Cambridge University Engineering Department.
Simple intro from Utah, Hany Farid's intro reference, and Gilbert Strang's intro at MIT.
Self-guided courses from Dartmouth academic computing: Introduction to Matlab, Programming in Matlab, and Introduction to Matlab Graphics
You will need Matlab codes to plot direction fields overlayed with ODE solutions: Download dfield7.m (save to your desktop). Similarly here is pplane7.m
Locations of computers with Matlab: Thayer School public computers, public linux compute servers wrun by Research Computing, apparently there's one in the Berry library too.

Soda Constructor allows you to explore normal modes in arbitrary 2D mass-spring systems (turn off gravity and friction for that). This is a coupled system of second-order linear ODEs, which could be reduced to a coupled system of first-order ODEs as in 7.6 (example 3) in the book. It's also a lot of fun to play with and has its own online community!
Ocean waves are described by PDEs too.
Much of my research actually involves solving a PDE eigenvalue problem arising from Laplace's equation, known as the Dirichlet eigenproblem.