EECS 600	Function Space Methods in System Theory
	Fall 2004	Room 185 EWRE, MWF 1:30-2:30 PM


Instructor:	Professor Jeff Fessler
		Email: fessler AT umich DOT edu
		Office:	4431 EECS
		Office Hours: (see web site)

Web:	WWW page: http://www.eecs.umich.edu/~fessler/

Text:		Luenberger, Wiley, 1997
		"Optimization by vector space methods"
		(Reprinting of classic 1969 text as a paperback)

Reference:	Naylor & Sell, Springer Verlag, 1982, 2nd edition
		"Linear operator theory in engineering and science"

Objective:	Theory and methods of functional analysis for the
		modeling and analysis of signals and systems.

Topics:		vector spaces, norms and Banach spaces, inner products
		and Hilbert spaces, linear operators, optimization of
		functionals, and duality.  POCS if time permits.

Prereq.:	Math 419 (linear algebra)
		Math 451 would be helpful, but is not required.
		(Selected topics from 451 will be reviewed as needed.)

Grading:	Homework Sets		10%	(see policies below)
		Exam 1			25%	about oct. 11
		Exam 2			30%	about nov. 15
		Exam 3			35%	about dec. 15
		In all of the above, legibility counts.
		Scores may be standardized before computing the final
		score if the means and standard deviations vary.
		The exams will be open book take-home.

	Requests for re-grades of exams must be submitted in writing within
	one week of exam return.  All questions may be re-graded.



Notes:

1. Some subset of the problems from each assignment will be graded,
although solutions will be provided for all problems.  I will also
ask each student in the class to help grade part of one of the
homework assignments.  Reading/grading the proofs of others is a
valuable learning experience.  (The precise details of this will
depend on the class size and will be announced later.)

2. ABSOLUTELY NO LATE HOMEWORK ASSIGNMENTS WILL BE ACCEPTED.
However, I will drop your lowest homework score when computing grades,
which gives some flexibility if you become ill etc.

3. Homework policy.  You must attempt to solve all homework problems
by yourself.  Copying homework solutions from another student or from
solutions from previous semesters will be considered violations of the
engineering honor code.  However, after making a genuine attempt to
solve the homework problems, you are encouraged to discuss the answers
with other students currently enrolled in 600 to check the answers and
compare solution approaches.  After such a discussion, you may rewrite
your answer as long as you do so individually, without referring to
the solutions of other students or to solutions from previous terms.
Basically, the answers you turn in should reflect your own level of
understanding, not someone elses.  All solutions submitted must be
generated by the person whose name appears on the assignment.

4. All students must take all exams during the scheduled times.

5. No course incompletes will be given, except per UM regulations.

6. What sections are covered?  On the web page I will frequently update
a lecture-by-lecture list of what topics I cover each lecture.


No class: oct 20,22.  makeup lectures will be scheduled.