Sketching Full Fourier Series of a Function

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SUMMARY

The discussion focuses on sketching the full Fourier series of a specific function, with participants evaluating the correctness of the approach taken. The main feedback emphasizes the importance of accurately labeling the y-axis to reflect the scale of the function. Participants confirm that the initial attempt appears visually correct but requires proper axis labeling for clarity. This highlights the necessity of precision in mathematical representations.

PREREQUISITES
  • Understanding of Fourier series and their applications
  • Familiarity with graphing techniques in mathematics
  • Knowledge of function scaling and axis labeling
  • Basic skills in interpreting mathematical figures
NEXT STEPS
  • Research the principles of Fourier series and their convergence
  • Learn about proper graph labeling techniques in mathematical presentations
  • Explore tools for sketching functions, such as MATLAB or Python's Matplotlib
  • Study examples of Fourier series applications in signal processing
USEFUL FOR

Students studying mathematics, particularly those focusing on Fourier analysis, educators teaching mathematical graphing techniques, and anyone involved in signal processing or related fields.

jegues
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Homework Statement



See figure attached.

Homework Equations





The Attempt at a Solution



See figure attached for my attempt.

Is this the correct way to sketch the full Fourier series of the given function?

If not, what am I doing wrong/misunderstanding?

Thanks again!
 

Attachments

  • 2009Q6.JPG
    2009Q6.JPG
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It looks good. Don't forget to label the y-axis showing the scale (numbers).
 

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