Checking your Fourier Series coefficients

  • #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?


Thanks.
 

Answers and Replies

  • #2
529
1
I would graph it using plotting software.

You could also pick a random value of x and calculate the first few terms by hand.
 
  • #3
So I guess that means there is no quick way to tell, when you are taking a test or something?
 
Last edited:
  • #4
529
1
It's a good question. Maybe someone else can give you better advice.
 
  • #5
Gib Z
Homework Helper
3,346
5
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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