How To Determine The Fourier Series of f(x) = -1,+1,-1

Fourier series is used to describe a periodic signal in terms of cosine and sine waves. In other other words, it allows us to model any arbitrary periodic signal with a combination of sines and cosines.
In This Video, You are going to learn;
1. What is Fourier Series
2. Fourier Series Formula
3. The Fourier Series Coefficients
4. How to graph a function
5. How To Identify Even And Odd Functions
6. Even and odd function
7. How to integrate Even function
8. How to Find the Fourier Series of an Even Function
9. How To Determine the Fourier Series of a Function
10. How To Solve Questions on Fourier Series
#fourierseries
#evenfunction
#engineeringmathematics
#fourier
#integration
#avitechmaths
#examquestion

[@agneskerubo]

nice one

[@haggaisikazwe7215]

This is awesome sir

[@toyotkoyot8886]

Very greaful for laplace ODE and Fourier. Be blessed.

[@AVITECHNOLOGIES]

You're welcome.

[@harikaharika3695]

Wow super explaination

[@AVITECHNOLOGIES]

I'm glad that I could help

[@aminuisiaka9477]

Math Don☺️💯

[@derrickerrick3370]

How are you,,, I have a concern,, at minute number,, 15:25 there,, why did you add??if you solve them,,,will it be wrong instead of u adding them??,,,

[@AVITECHNOLOGIES]

We try as much as possible to simplify expressions. It's more like, you have a + a, that's equal to 2a. In this case, we are adding same items, it's best we add them together, because sin(nπ/2) is a special function with different results for different values of n.

[@briansakala7721]

This nice, have you done videos on victor calculus?

[@DerejeAdugna-t4w]

Thank you very much !❤❤❤❤❤

[@AVITECHNOLOGIES]

You're welcome 😊

[@FrancisOpinionIdiku]

More grace

[@AVITECHNOLOGIES]

Thanks

[@justinetheewordgiver1197]

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[@AVITECHNOLOGIES]

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[@wq9.7]

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[@AVITECHNOLOGIES]

Muhammad kazim Hashim, You are Welcome. I'm happy to have you on my channel.
Did I get Your name Correctly?😊

[@wq9.7]

@@AVITECHNOLOGIES Mohammed kazim Hashim
Actually this is the correct way to write my name and by the way I’m so grateful for you and your amazing explanation

[@positiveminded-bo1cd]

You are good❤

[@AVITECHNOLOGIES]

Thank you.

[@shuaibjemil]

The legend

[@nosicelogxilishe8355]

a this point you just a legend

[@asandamvusongobese2109]

sorry brother I wanna know here, why we don't divide nx by the period?
when do we divide nx by T and when we don't divide?

[@AVITECHNOLOGIES]

Well, I think you've seen a different formula, but they are all the same. When the series is defined over 2π, the resulting formula after division is what I used.
But when the period is not 2π, I will have to use the base formula for Fourier Series, which will enable me to divide by the period.
Hence, we divide when the period is not 2π. I will make a video in June showing different formulas that I've seen people use and explain how they are all the same.
My Advice: Stick To One Formula.

[@asandamvusongobese2109]

@@AVITECHNOLOGIES Thank Brother. Ur videos are helpful. Thanks

[@prefapeter1070]

Where did the cosnx come from

[@AVITECHNOLOGIES]

@@prefapeter1070 where? At what time in the video?

[@londisibanda1421]

can't you write sin(npi/2) as (-1)^n?

[@AVITECHNOLOGIES]

No.
That's not possible for sin(nπ/2). The value of sin(nπ/2) changes with respect to the values of n.
It's cos(nπ) that can be replaced with (-1)^n.

[@judeoludunmade837]

How does An = 1

[@AVITECHNOLOGIES]

When did I say An = 1, can you please drop the time stamp?