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Topics - Aida Razi

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Misc Math / Last year FinalExam
« on: December 13, 2012, 01:56:49 PM »
http://weyl.math.toronto.edu:8888/APM346-2011F-forum/index.php?topic=208.0

In last year final exam, problem 1, when you solved it by method of continuation, I was wondering if the first term will be:

u(x,t)=1/2(-ϕ(x−ct)+ϕ(x+ct))+ 1/2c∫ct+x0ψ(s)ds +1/2c∫ct−x0ψ(s)ds

instead of what you wrote:
"In our case correct formula is different

u(x,t)=1/2(ϕ(x−ct)−ϕ(x+ct))+ 1/2c∫ct+x0ψ(s)ds +1/2c∫ct−x0ψ(s)ds"


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APM346 Misc / Final Exam
« on: December 12, 2012, 07:47:32 PM »
Dear professor Ivrii,

How do you suggest us to prepare for the final exam?
Does it have the same format as last year final exam?

Thank you so much for your time,

3
APM346 Misc / TT2Marks
« on: December 07, 2012, 02:43:31 PM »
Dear professor,

There is an announcement on the portal that we can go and get our TT2 papers today but I am just wondering if you are going to post our marks on the portal as well because some of us might not be able to go and pick up the test today?

Thank you kindly,

4
Misc Math / Lecture 19
« on: November 13, 2012, 03:12:17 PM »
In heat equation: We know IFT of e^ (-(ξ^2)/2) is (√2pi)e (-(x^2)/2). Then when we try to find IFT of e^ (-(ktξ^2)), we scale ξ to √(2kt)ξ and therefore x scale to √(2kt)x. But in the lecture note, it is mentioned that x scale to (2kt)^(-1/2)x. I believe it should be just square root of 2kt and not (-square root) of 2kt.

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Misc Math / Last Year HW:5.4.12
« on: November 11, 2012, 10:33:08 PM »
I am just wondering in this question when P.T. wrote Parseval's equality, it shouldn't contain "integral |sin(nπx/l)|^2"; Right?

6
Home Assignment 6 / Problem3
« on: November 07, 2012, 09:31:58 PM »
Solution is attached!

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Misc Math / Fourier Transform
« on: November 05, 2012, 01:00:32 PM »
I was wondering (1/2 pi) in Fourier transform formula is an optional? (I mean, can we just ignore it?)

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Home Assignment 5 / Problem4
« on: October 31, 2012, 09:31:34 PM »
Part (a) solution is attached!

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Misc Math / TT1Problem6
« on: October 15, 2012, 01:33:57 PM »
In past term test 1, problem 6:

Write the solution of the diffusion equation on a half line 0<x<+∞,

I was wondering if we need to calculate integral on just 0<x<+∞ interval and not whole interval.

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Home Assignment X / Problem2
« on: October 15, 2012, 01:34:28 AM »
Solution is attached,

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