Calculating Fourier Co-Efficent An of an Even Square Function

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Discussion Overview

The discussion revolves around calculating the Fourier coefficient \( A_n \) for an even square function. Participants explore the integration process and the correctness of different answers derived from the problem.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant initially claims their answer is \( -4/n\pi \) after integrating the function piece-wise, resulting in \( 4\sin(n\pi/2)/n\pi \).
  • Another participant later asserts that their own answer is correct, suggesting a disagreement with the teacher's provided answer.
  • A subsequent post reiterates the correctness of the participant's answer, implying a challenge to the teacher's solution.
  • One participant states that the teacher's answer of \( -4/n\pi \) is essentially wrong, reinforcing their own conclusion.

Areas of Agreement / Disagreement

Participants express disagreement regarding the correctness of the answers, with multiple competing views on the validity of the teacher's solution versus the participant's calculations.

Contextual Notes

There are unresolved aspects regarding the integration process and the assumptions made in deriving the Fourier coefficient, which may affect the conclusions drawn by participants.

Metalsie
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Nevermind guys, it appears that my answer is correct.
 
Metalsie said:
Nevermind guys, it appears that my answer is correct.

Your follow-up post to let us know what you found is greatly appreciated. (Yes)
 
The answer provided by the teacher (-4/npi) was basically wrong and mine was right. Sorry.

Here is the "same" problem solved

Calculating Fourier Series 1
 

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