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Integral Equations and Transforms - Summer 05
Integral Equations and Transforms - Summer 05
There will be about 2-3 HW sets, 1 midterm and one final. Each will count equally, and all are open notes and book(s).
Final Exam will be posted on the HW page by 25th July 1 p.m.
It will be due (locally, with adjustments for TV land) at Aug 2, 12 noon. My office.
mailto:morley@math.gatech.edu
We will start with an introduction to complex analysis, which we will need for Integral Transforms. This will be a little quick, but don't worry. We will use the important ideas again and again, so there will be many examples thoughout the course of the big ideas.
Sort of what we will be covering
Please take the time to go to the following URL and take the index of
learning style assessment and email the results only in the 4 categories
(Active/Reflective; Sensing/Intuitive; Visual/Verbal; Sequential/Global) to
mailto:joseph.hoey@oars.gatech.edu.
http://www.engr.ncsu.edu/learningstyles/ilsweb.htm
Tegrity system
Homework: Integral Equations and Transforms
Student's web pages and get together
Some class notes:
Some important web sites:
Some Mathematica Files:
Questions?
Will you be posting a syllabus for this course?
Thank you for the notes, I hope you can continue to post the notes. They will help a lot!
Ditto - The notes are quite helpful; so are the references.
OK. I'll do it. I was afraid that they were too opaque. I haven't posted a sylabus 'cause I don't know yet exactly what we are going to cover. - Tom Morley
Does anybody want to get together to work on the homework? I am a Q section student but I am currently on campus. Email: gtg625t@mail.gatech.edu - Tim Patz
Do you have an idea of what the final exam schedule will be? Will it be during exam week? A take home? Thanks.
Is there anyway you could give some hints about the homework? Especially, the first 2 problems (2.2 vi and vii). Thanks!
It is (the final) a take home. IT will be due when the final exam
schedule says it is to be given.
2.2 vii Write out the Laplace transform as an integral and change order of integration.
2.2 vi This is one of those integrals that involves e^ a quadratic.
Write everything out in exponentials, and write out the integrals in terms of error functions. Use http://www.integrals.com to do the integral. Use http://functions.wolfram.com to find the limits as the upper limit goes to infinity
From question 3.6, it says to find the inverse Laplace transform "at least as real integrals," so what does "at least by real integrals" mean? Also, can you give us a hint for the solutions of questions 3.6 iii & iv? - ashish
I'm still having trouble with the first two problems (2.2 vi&vii). Does anyone else have any further hints or suggestions about where to start?
In case anybody is having problems with 2.2vi and 2.2vii you may proceed by expressing sin(root t) in terms of exponents and then substitute x^2 = t. This should help a lot. Just try finding out the integrals for e^(x^2). - ashish
sorry its .. e^(-(x^2))
What is the due date for homework #3?
What homework 3?
it was just posted; due July 15th
I'm stumped on notation for problem 7.2. Does anyone know the significance of (x^2) vs (x)^2, etc.? Aren't they the same thing, or is there special meaning for this notation?
Can we get some hints for problem 7.2? Thank you
I'll talk about this today. (july 11) - Tom Morley
could someone also give some hints or help for 7.4(i) as well. thanks. tp
Is there some sort of trick for 7.4(i)? Parseval relations are not covered too well in the book.
for 7.4(i), separate the denominator into 2 functions, f and g, FT them and evaluate the integral.
on 7.2, is it critical in what order you substitute terms. i am trying to work from both ends and meet in the middle but i am getting a huge hodgepodge of terms.
What is the name of the reference book for the kernal? Thank you!
kernel, pls, not kernal, enough of this kernal stuff
sorry for the wrong spelling. Could you tell me the reference book for it? Thank you
don't worry, it's spelled "kernal" all 5 instances on the homework page.
Could the HW please be reworded? It is a little bit difficult to read.
Are they 2 problems or 3 problems? There are 2 and 3 numbers.I am not able to make out.Please rewrite numbering.Thank you
For the third problem, it seems like something is missing: cos((x-y).
has anyone gotten the resolvant for #1? How do you make the series from the pattern? Any help would be appreciated.
Prof. Morley, any help on questions 2 or 3 would be greatly appreciated. Can you maybe help set-up the problems in Friday's class (7/29) Thanks.
Are there a total of 3 problems or 4 problems? I am also a bit confused.
For problem 2 I am expanding the solution using the kn =int(KKn-1), the terms that I am collection are hugde. For shure I am making something really wrong, could you give a hint. Is the Tricomi the book you used for the class?
There are three problems.
Note that for 2, lambda = 1 is exceptional. Linear condition(s) must be satisfied by the forcing term (f(x))
could somebody give some hints for #3? thanks
question 3 still not clear
In question 3, is a1 ? If its not then the series blows up. Series becomes too easy to sum up if a1 . Also the index 'n' doesn't appear in cos term. Is there anything misSing ?
please read a1 as 'a less than 1'
Yes, abs(a) is less than one
Jun3.nb
Boom.nb
Boom2.nb
Boom3.nb