Revised August 20, 2004.
This page is
subject to change from time to time-check back frequently.
Office 410 Carver
Office Hours: Monday, Wednesday, Friday 9:00 - 9:50 or by appointment
E-mail: halevine@iastate.edu
phone: 294-8145
· Be sure to purchase the textbook, Stakgold, and begin reading chapters 0, 3.
· The course will be graded based on homework, a (take-home) midterm exam, and the (in-class) final exam. Homework is worth 50%, and the two exams are each worth 25%. Approximate cut-offs are 90% = A, 80% = B, 70% = C, 55% = D. Adjustments to this scale (such as plus/minus grades) will be made at the instructors' discretion.
Homework assignments may be found at
www.public.iastate.edu/~halevine/Math_519
General remark; There will be 8-10 sets assigned over the semester. Each set will have around 3-8 problems. You will be expected to do the entire set although I will only grade a small subset of each set. (It will be the same subset for everyone.) Many of the problems can be viewed as practice problems for the qualifying examination.
· I prefer the solutions to be written up in AMSTEX, LATEX, PCTEX,
PLAINTEX or any
other such typesetting program, that they will be written in good
English. Think of them as
mini lab reports. (This semester only , I will give a bonus of 20% for
homework done in
one of these typesetting programs! You may
borrow a manual that explains how to do
the Math office. For the spring term, there
will be a 20% penalty for not doing the homework in one of
these typesetting languages!)
· There is a syllabus further down on this page.
· Late homework assignments will not be accepted for any reason.
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The basics: Discussion of model problems in integral and differential equations, characteristics, analytic techniques for solving the heat, wave and |
. (Chapters 0, 3, 8.) |
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The abstract stuff: Introduction to the theory of Hilbert and Banach Spaces, important function spaces. |
(Chapters 0, 4.) |
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Theory of distributions or " why is the delta function not a function and if not, what is it?" |
(Chapter 2.) |
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Fourier transform, fundamental solutions of differential equations |
(Chapters 1, 2, 3.) |
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Linear operator theory. |
(Chapter 5.) |
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