Graphing a Fourier Series on a TI-84 Plus not working so well

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SUMMARY

The discussion centers on graphing a Fourier series for a square wave using the TI-84 Plus calculator. The user reports discrepancies between the expected graph from their textbook and the output from the calculator. Specifically, they are using a period interval of [-1, 1] and incorporating 11 terms into the series. The issue highlights the importance of correctly setting parameters on the TI-84 for accurate graphing of Fourier series.

PREREQUISITES
  • Understanding of Fourier series and their applications in signal processing.
  • Familiarity with the TI-84 Plus calculator functionalities.
  • Knowledge of periodic functions and their graphical representations.
  • Basic mathematical skills to manipulate series expansions.
NEXT STEPS
  • Research how to properly configure the TI-84 Plus for graphing Fourier series.
  • Learn about the mathematical principles behind Fourier series expansions.
  • Explore the effects of varying the number of terms in a Fourier series on the resulting graph.
  • Investigate alternative graphing tools or software for Fourier series visualization.
USEFUL FOR

Students studying signal processing, educators teaching Fourier analysis, and anyone using the TI-84 Plus for mathematical graphing tasks.

QuantumPixel
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Hi!

I was wondering how you would graph a Fourier series for a square wave that periodic. My textbook gave something proper that I would expect (just google 'Square Wave Fourier Series Expansion') while my TI - 84 gave a image like the one somewhere in this thread. It would be nice if anybody could help me fix this.

My TI 84 screen:
SCREEN01.JPG



QuantumPixel
 
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what interval is the period? How many terms did you take for the series?
 
HallsofIvy said:
what interval is the period? How many terms did you take for the series?

Between the intervals of [-1,1] and 11 terms.
 

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