I have used three different textbooks for this course; all three have been
problematic, mostly because of skimpy homework sets. The best homework sets
IMO were in the book by Edwards & Penney, but this appears to me to be their
introductory DE book with some linear algebra wedged in. The others
(information below) do a somewhat better job in presentation and integrating
the subjects, but are much more weak on problem sets. If you're willing to
write some of your own homeworks, any of these can work OK.
My course web site from Fall 2001 is still accessible, at
http://itech.fgcu.edu/faculty/clindsey/mas2121 ;
that might give you some idea of what we covered. The problem sets I
compiled from various other books should still be there, as PDF and/or Maple
6 files. Ours is a 4 credit course, wherein we cover the main topics of a
standard Linear Algebra course, except orthogonality, and the main topics of
a standard DE course, except Laplace transform. We *do* cover generalized
eigenvectors and Jordan form, and of course systems of differential
equations using eigenvalue methods. The omitted topics are covered in a
second course (Methods of Applied Math I) that is required for math majors.
The three books I referred to above are:
1) Differential equations and Linear Algebra, by Edwards & Penney. Prentice
Hall is the publisher. (sorry, don't have ISBN handy)
2) Linear Algebra and Differential Equations using Matlab, by Golubitsky &
Dellnitz. Brooks/Cole, 1999. ISBN 0-534-35425-5
3) Differential Equationa and Linear Algebra, by Goode. Prentice hall, 2000.
ISBN 0-13-263757-X
There are at least a few other textbooks out there, but I have not used them
for a class so I can't say much about them.
Hope this helps.
Chuck Lindsey, Ph.D. [log in to unmask]
Associate Dean, College of Arts and Sciences
Florida Gulf Coast University
10501 FGCU Blvd. South, Ft. Myers, FL 33965-6565
Phone: 941-590-7168 FAX: 941-590-7200
http://itech.fgcu.edu/faculty/clindsey
-----Original Message-----
From: Richard J Maher [mailto:[log in to unmask]]
Sent: Wednesday, February 05, 2003 3:39 PM
To: [log in to unmask]
Subject: Linear Algebra and Differential Equations
Hello everyone,
The former MATHEDU list has been inactive as of
late, but I have a request for those of you
who still are subscribers. Do any of you have
a recommendation for a book that combines linear
algebra and differential equations into a single
volume? We are not particularly interested in a
super-comprehensive treatment of either topic;
that can be done in follow-up courses. If the
text, or a good portion of it, would be adaptable
for a three or four hour one semester course,
that would be great. If it includes technology,
fine; but we can handle this ourselves if needed.
Any help you can give us would be greatly appreciated.
Dick Maher
Richard J. Maher
Mathematics and Statistics
Loyola University Chicago
6525 N. Sheridan Rd.
Chicago, Illinois 60626
1-773-508-3565
[log in to unmask]
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