Exponential fourier series expansion

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Discussion Overview

The discussion revolves around the calculation of an exponential Fourier series expansion, specifically addressing discrepancies between a participant's solution and their lecturer's solution. The scope includes mathematical reasoning and homework-related inquiry.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • A participant expresses confusion over their solution to a Fourier series problem, noting a difference from their lecturer's answer.
  • The participant mentions that their lecturer's method did not consider the simplification of the equation Cn due to the odd nature of the function x(t).
  • Another participant asserts that both the participant's and the lecturer's answers are actually the same, providing a brief mathematical notation.
  • The original poster expresses feelings of embarrassment after realizing the answers are equivalent.

Areas of Agreement / Disagreement

The discussion appears to have resolved the initial concern, as one participant confirms that the answers are the same, leading to a moment of realization for the original poster. However, the initial confusion about the methods remains unaddressed.

Contextual Notes

There may be limitations in understanding the implications of the odd function on the Fourier coefficients, as well as the specific steps taken in the lecturer's method versus the participant's approach.

Who May Find This Useful

Students working on Fourier series expansions or those interested in mathematical problem-solving techniques in the context of homework assignments.

Mitchy190
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Hey, thanks for taking the time to look ay my post (:

I have attached a file which shows the question I am stuck on, and my attempt at working it out.

My problem is the answer I get, is different to what my Lecturer gets (shown in the attachment). He worked it out a different way to me, he did not take into account that you can simply the equation Cn as x(t) is an odd function (This is all shown in the attachment).

This is where I would like some help, could some kind chappy please have a look at my work and maybe point me in the right direction if I have gone astray, or even tell my why the answer I have got occurs if it is correct?

Thank you very much, MitchThe question and attempt at solution:

View attachment Fourier.pdf
 
Last edited:
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Your and his answers are the same!
-j = 1/j
 
Now I feel stupid haha!

Thanks though (:
 
Mitchy190 said:
Now I feel stupid haha!

(:
Don't! :smile:
 

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