How Do You Calculate the Fourier Series for a Piecewise Function?

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Homework Help Overview

The discussion revolves around calculating the Fourier series for a piecewise function defined on specific intervals. The function is given as f(x) = -2-x for -2

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the process of computing the Fourier coefficients a0, an, and bn, with some expressing uncertainty about their understanding of the formulas involved. There are inquiries about the nature of the coefficients, particularly regarding the distinction between sine, cosine, and exponential series coefficients.

Discussion Status

The conversation is ongoing, with some participants seeking clarification on their understanding of the Fourier series and others prompting for contributions to the problem-solving process. There is no explicit consensus on the approach yet, but guidance has been offered regarding the coefficients involved.

Contextual Notes

One participant expresses a lack of confidence in their mathematical skills, indicating a potential barrier to progressing in the discussion. There is an acknowledgment that this is a homework-related question, which may impose certain constraints on the discussion.

toiletbowl86
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can anyone help me solve this question?

find the Fourier series for the function

f(x)= -2-x for -2<x<0 and
f(x)= 2-x for 0<x<2

and f(x+4)=f(x)thank you very much
 
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What is the problem you are having, this shouldn't be a hard function to find the Fourier series for.
 
problem is my math sucks...i know it is not hard,i just learned it but I am blur.and yea my math suck.thats the main point.
 
compute an, bn, a0 and put in the formula for finding the series. it should be easy.
 
Last edited:
I suspect this is homework so I'm moving it.

toiletbowl86 (!) you must be able to do something show us what you have done if only putting the function into the formulas for the coefficients.

murshid-islam, I guess that an and bn are the sine and cosine coefficients. Is cn the coefficients for the exponential series?
 
HallsofIvy said:
murshid-islam, I guess that an and bn are the sine and cosine coefficients. Is cn the coefficients for the exponential series?
sorry, i meant: a0.
 

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