Homework Problems for Chapter 3
The Eigenvalue Problem
Problems marked with an asterisk ( ) will be collected and
graded. In general, problems will be due the day following
the lecture in which the section was discussed.
While this chapter is titled ``The Eigenvalue Problem'', it
discusses much more than this. Some parts of the discussion
will be quite computational, but others are much more abstract.
The abstract topics will provide good practice in reading,
and writing, proofs (and the creation of counterexamples).
The second exam will be given as originally scheduled. It will
be over as much material as we have covered by that time -
probably a little more than half or two-thirds of Chapter 3.
Do not forget the Review problems when studying for the exam.
These problems have been selected as the minimum amount of
work that you should be doing for this course. Some problems
will be straightforward computations; some will require the
construction of a logical argument using the terminology and
concepts discussed in class; some problems will require you
to expand your knowledge (with given information) and apply
this to a new setting.
If you need more practice, there are many other problems
in the text that are similar to the ones I have assigned.
There are two sections of review problems at the end of
each chapter. None of these problems will be collected for
grading. These problems should be a good test of your understanding
of the main points in the chapter. I suggest solving these problems
as one part of your preparation for an exam.
Be sure you know how to do all of these problems. Do not
hesitate to ask questions - in class, by e-mail, or during
Douglas B. Meade
Thu Oct 17 09:19:58 EDT 1996