Red syllabus

Linear Methods of Applied Mathematics

Evans M. Harrell II and James V. Herod*

#### *(c) Copyright 1994,1995,1996 by Evans M. Harrell
II and James V. Herod. All rights reserved.

version of 8 September 1996

The text is intended for a first
course on the subject, to be taken by students who have had two years of
calculus and an introduction to ordinary differential equations and vector spaces.
Actually, there are two variants of the course which are interwoven in the text; they correspond to two different 10-week undergraduate courses at
Georgia Tech,
in which the text has been used.
The course emphasizing the use of Fourier series and orthogonal series, Mathematics 4582
at Georgia Tech,
follows the red syllabus with the plan listed below, while the course emphasizing
integral operators and the method of Green's functions, Mathematics 4348, follows the
green syllabus.

Most of our students are engineers, with a few physicists
and mathematics majors. If the students are adequately prepared,
they can cover all the material in either track in ten weeks or so.
On the other hand, if a
substantial amount of review is necessary for linear algebra or
ordinary differential equations, then they will need more
time, and the course might take an entire semester. A semester-long
course for wel