The University of Maryland
College Park, MD 20742
Partial Differential Equations of Hyperbolic Type
Some notes for Multivariable Calculus
Acceleration and curvature
These notes (10 pages) give a more complete treatement of
acceleration and curvature. The notes are in pdf.
Click here .
Curl and divergence, and the theorems of Green, Gauss and Stokes.
These notes (28 pages) are written to give a better understanding
of these important ideas.
Click here to get a PDF version.
For help with computers, MATLAB, Mathematica, etc, this
link will take you to the computer help page of the Mathematics Department.
Introduction to MATLAB (exerpted from A MATLAB Companion for
Multivariable Calculus, Harcourt/Academic Press, 2001)
Here is a short introduction to MATLAB that can be downloaded in either
pdf or postscript format.
Click here for postscript
Click here for pdf
Elsevier/ Academic Press (2004)
A text for a two semester course in advanced calculus that gives rigorous treatment of the
basic concepts of analysis, and then uses them to solve problems.
There are many opportunities for computation as well.
Table of contents in pdf.
MATLAB codes for
Errata in pdf
A MATLAB Companion for Multivariable Calculus
Harcourt/Academic Press (2001)
Table of Contents
MATLAB Codes for the MATLAB Companion
Introduction to Partial Differential Equations with MATLAB
This is a text for the standard Junior-Senior
year introductory course for partial differential equations. There is
an extensive computer component, using MATLAB. In addition to the
usual separation of variables, we also introduce
elementary numerical methods for each equation, and
treat some nonlinear problems.
Short Table of Contents
MATLAB PDE codes
Here are some examples of graphics generated by the MATLAB codes.
Formation of shock wave
The Dirichlet problem.
Solution of the heat equation.
Nonlinear string equation
Vibrating square drum head
Errata for the first printing
For a list of text errata in postscript format, click here:
Corrected problem solutions in postscript format, click here:
For a list of text errata in pdf format, click here:
Corrected problem solutions in pdf format, click here:
The author will be happy to send the Latex file of the errata by
email, or hard copy by regular mail or fax.
The second printing with corrections is now available.
Hopefully, the errata material listed above is now unnecessary.
Here are some useful links