# Toronto Math Forum

## APM346-2012 => APM346 Math => Home Assignment 5 => Topic started by: Peishan Wang on October 30, 2012, 11:36:54 AM

Title: Problem 2
Post 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!
Title: Re: Problem 2
Post by: Victor Ivrii on October 30, 2012, 12:29:38 PM
You have $[-l,l]$ and you may plot for any value $l>0$ (say $l=1$)
Title: Re: Problem 2
Post by: Aida Razi on October 31, 2012, 09:30:42 PM
Part (c) solution is attached!
Title: Re: Problem 2
Post by: Victor Ivrii on November 01, 2012, 01:57:35 AM
Wher are calculatingly simpler  a), b)? And the sketch?
Title: Re: Problem 2
Post by: Aida Razi on November 04, 2012, 02:39:59 PM
Part (a) solution is attached!
Title: Re: Problem 2
Post by: Aida Razi on November 05, 2012, 01:53:33 AM
Part (b) solution is attached!
Title: Re: Problem 2
Post by: Zarak Mahmud 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 $f(x)$.