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Toronto Math Forum
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APM346-2012
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APM346 Math
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Home Assignment 5
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Problem 2
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Topic: Problem 2 (Read 12759 times)
Peishan Wang
Full Member
Posts: 32
Karma: 6
Problem 2
«
on:
October 30, 2012, 11:36:54 AM »
Hi Professor,
I'm not sure if there's a typo but in Problem 2 I think we should be given a specific interval (say [-pi, pi]) in order to plot the graph. Thanks!
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Victor Ivrii
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Posts: 2607
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Re: Problem 2
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Reply #1 on:
October 30, 2012, 12:29:38 PM »
You have $[-l,l]$ and you may plot for any value $l>0$ (say $l=1$)
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Aida Razi
Sr. Member
Posts: 62
Karma: 15
Re: Problem 2
«
Reply #2 on:
October 31, 2012, 09:30:42 PM »
Part (c) solution is attached!
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Victor Ivrii
Administrator
Elder Member
Posts: 2607
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Re: Problem 2
«
Reply #3 on:
November 01, 2012, 01:57:35 AM »
Wher are calculatingly simpler a), b)? And the sketch?
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Aida Razi
Sr. Member
Posts: 62
Karma: 15
Re: Problem 2
«
Reply #4 on:
November 04, 2012, 02:39:59 PM »
Part (a) solution is attached!
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Aida Razi
Sr. Member
Posts: 62
Karma: 15
Re: Problem 2
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Reply #5 on:
November 05, 2012, 01:53:33 AM »
Part (b) solution is attached!
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Zarak Mahmud
Sr. Member
Posts: 51
Karma: 9
Re: Problem 2
«
Reply #6 on:
November 06, 2012, 06:17:44 PM »
Since $f(x) = x^2$ was already computed in part c, to calculate part a (say $g(x) = x$), we could have also noted that $$g(x) = \frac{1}{2}\frac{d}{dx}f(x)$$ and applied this transformation term by term to the Fourier series of $f(x)$.
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Toronto Math Forum
»
APM346-2012
»
APM346 Math
»
Home Assignment 5
»
Problem 2