Toronto Math Forum
APM3462012 => APM346 Math => Home Assignment 5 => Topic started by: Peishan Wang 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!

You have $[l,l]$ and you may plot for any value $l>0$ (say $l=1$)

Part (c) solution is attached!

Wher are calculatingly simpler a), b)? And the sketch?

Part (a) solution is attached!

Part (b) solution is attached!

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 $f(x)$.