Introduction to Partial Differential Equations with Numerical Methods
This is the web page
It will be updated regularly and always contain the latest
information on the course.
This website is only for general policies concerning the
course, as well as for the continuously updated syllabus.
For all other information on the course, including lecture notes
and homework assignments, please go to Blackboard.
|| MW 12:00-1:15pm, Robinson Hall B106
|| Grade C or better in MATH 203 and 214 or 216.
|| Book manuscript Theory and Numerics of Partial
by E. Sander, T. Wanner
(will be made available as PDF via Blackboard)
Additional course material can be found on the Blackboard site for this
course. Please make sure to check there regularly!
This course introduces basic facts about partial differential equations,
including elliptic equations, parabolic equations and hyperbolic equations.
We will discuss methods of solution such as separation of variables and
characteristics, as well as initial/boundary-value problems and numerical
approximation techniques. A more detailed syllabus can be found
here. It will be updated weekly.
Homework problems will be assigned once a week and posted on
Blackboard. Most of these assignments will be graded and count
towards your homework score. While the remaining ones do not have
to be handed in, I do advise everyone strongly to study them and
write out the solutions properly. I will go through many of the
homework problems in the following class and you will not benefit
from this if you have not made a serious attempt at solving them.
The software package Matlab will be used throughout the course.
Matlab is a computing environment with programming capability, good
graphics, and powerful library functions. It is available on campus on
the Mason cluster and several Unix computer labs. Alternatively, a PC
or Macintosh version can be purchased at the bookstore. Many Matlab
tutorials are available:
Also, the manual which comes with the PC version is very complete.
Further information on Matlab can be found
- A very good tutorial by Kermit Sigmon,
University of Florida, in Postscript format. There is also an HTML
version of this tutorial.
- The official Getting Started with Matlab
guide from Mathworks in PDF format.
- You should also take a look at the tutorials of my colleague
Your final grade in the course will be determined from your
performance in the homework assignments, a midterm exam, a final
project, and your attendance and class participation. Weights for
these items will be distributed approximately according to the
|| Midterm Exam
|| Final Project
The assignment of your course grade is based on the total course
score. The following grading scale may serve as a guideline, although
changes are possible:
| Score above
| Letter grade
|| A-, A, or A+
|| B-, B, or B+
|| C or C+
Thomas Wanner, August 17, 2018.