(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the complex Fourier series for:

[tex]f(t)=t(1-t), 0<t<1[/tex]

2. Relevant equations

[tex]f(t)=\sum_{n=-\infty}^{\infty}c_n{e^{i\omega_n{t}}}[/tex]

[tex]c_n=\frac{1}{\tau}\int_{t_0}^{t_0+\tau}e^{-i\omega_n{t}}f(t)dt[/tex]

[tex]\omega_n=2\pi{n}\quad\tau=1[/tex]

3. The attempt at a solution

I solved for c_n. I want to check my answer. I can only think of checking it by graphing it out to a few (50 or so) terms. I tried to graph this in Maple with my value for c_n and it couldn't do it. After that, I tried to solve the entire problem in Maple and that also did not work.

I have a few more of these to do, and I'd like to make sure I am doing this correctly before I move on. Does anyone know how to check my value for the coefficient?

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# Homework Help: How to check Fourier series solution (complex)

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