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Checking your Fourier Series coefficients

  1. Jul 11, 2007 #1
    When you compute the Fourier series coefficients for a function, is there any quick way to check if your answer is correct or at least reasonable?

  2. jcsd
  3. Jul 11, 2007 #2
    I would graph it using plotting software.

    You could also pick a random value of x and calculate the first few terms by hand.
  4. Jul 12, 2007 #3
    So I guess that means there is no quick way to tell, when you are taking a test or something?
    Last edited: Jul 12, 2007
  5. Jul 12, 2007 #4
    It's a good question. Maybe someone else can give you better advice.
  6. Jul 13, 2007 #5

    Gib Z

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    Homework Helper

    There is not really an easy shortcut, but one thing you could do is Check that [tex]f(0)= \left( \sum_{n=0}^{\infty} a_n \right) - \frac{a_0}{2}[/tex]

    That only checks your a_n, for b_n all I can offer is to recheck your derivation. Good Luck lol
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