Toronto Math Forum
APM346-2012 => APM346 Math => Home Assignment 5 => Topic started by: Peishan Wang on October 30, 2012, 11:36:54 AM
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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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You have $[-l,l]$ and you may plot for any value $l>0$ (say $l=1$)
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Part (c) solution is attached!
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Wher are calculatingly simpler a), b)? And the sketch?
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Part (a) solution is attached!
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Part (b) solution is attached!
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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 $f(x)$.