Understanding Fourier Series: Solving a Tricky Question with Step-by-Step Guide

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SUMMARY

This discussion focuses on solving a challenging problem related to Fourier Series, specifically addressing the transition from exercise two to exercise three. Participants share their findings, including a significant 1/n² term in their Fourier series calculations. The conversation emphasizes the importance of selecting an appropriate value for x to facilitate the solution of the subsequent exercise. Collaborative problem-solving is highlighted as a key strategy in tackling complex mathematical questions.

PREREQUISITES
  • Understanding of Fourier Series and their applications
  • Familiarity with mathematical concepts such as convergence and series terms
  • Basic knowledge of trigonometric functions and their properties
  • Experience with problem-solving techniques in calculus
NEXT STEPS
  • Research the derivation of Fourier Series coefficients
  • Learn about convergence criteria for Fourier Series
  • Explore the application of Fourier Series in signal processing
  • Study advanced techniques for solving differential equations using Fourier methods
USEFUL FOR

Students, educators, and professionals in mathematics, particularly those focusing on Fourier analysis and its applications in engineering and physics.

VooDoo
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hey guys,

I got this question that I am a bit stuck on. I have done question two and got the Fourier series, but have no idea how to do part 3. Any help is very appreciated.
http://img453.imageshack.us/img453/5103/file2yp2.jpg
 
Last edited by a moderator:
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What did you get for exercise 2? That will probably be quite useful information for solving 3!
 
Hi, I got the following for my Fourier series. I have a 1/n^2 term in there which looks good.
http://img392.imageshack.us/img392/5124/11111je7.jpg
 
Last edited by a moderator:
Choose an appropriate x.
 

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