Calculating Fourier Co-Efficent An of an Even Square Function

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SUMMARY

The discussion centers on calculating the Fourier coefficient An for an even square function. The correct answer is -4/nπ, which was confirmed after the user integrated the function piece-wise into three separate integrals. Initially, the user arrived at an incorrect expression of 4sin(nπ/2)/nπ but later validated their solution against the teacher's answer. The teacher's answer was ultimately deemed incorrect.

PREREQUISITES
  • Understanding of Fourier series and coefficients
  • Knowledge of piecewise integration techniques
  • Familiarity with trigonometric functions, specifically sine
  • Basic calculus, particularly integration
NEXT STEPS
  • Study the derivation of Fourier coefficients for different functions
  • Learn about piecewise functions and their integration
  • Explore the properties of sine functions in Fourier series
  • Review common mistakes in calculating Fourier coefficients
USEFUL FOR

Students and educators in mathematics, particularly those focusing on Fourier analysis, as well as anyone involved in signal processing or applied mathematics.

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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