How To Find The Fourier Series Of Even And Odd Functions
ฝัง
- เผยแพร่เมื่อ 7 ก.ย. 2024
- In Mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series.
In This Video, You'll Learn
1. How to Sketch a graph
2. How to Determine Even and Odd Functions
3. How To Solve for Fourier Series Coefficients
4. How To Integrate Fourier series
5. How to Solve Questions on Fourier series
6. How To Find the Fourier Series of f(x)=1-x
7. How To Find The Fourier Series of f(x)=1+x
8. How to compute and derive a series or formula for π²/8
9. How To Find a Series for pie squared over 8
#engineeringmathematics
#avitechmaths
#avitechnologies
#fourierseries
#fourier
#evenfunction
#oddfunction
#ema382
#advancedcalculus
#calculus
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I'm female too... and I am definitely going to share this videos with others having problems with Fourier series... because it's the best I have come across so far😊
Thank you.
You are welcome to my channel once again 😊.
Currently, female subscribers on my channel are less than 25% 😂
I hope the number goes up soon.
Thanks so much 🙏 all this for free.
Best fourier series ever.
You're welcome
Best video I've seen on fourier series! Let me check others. You teach so well and by the way I'm a female.
I'm so happy right now, welcome to my community. Here's my playlist on Fourier Series:
th-cam.com/play/PLyIQ6tJ1a5bajJUe52S3qzli2PwZgcjw8.html
Thank you very much.
You know, we want to kick out our math teacher from the Uni, and please come and be our teacher. You explained much better than him. Thanks a lot, bro
Send an email to avitechsinach@gmail.com
Classes can be online or physical.
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You made my back to back A in Engineering Maths possible. Even though you didn't teach me part one but I had A in Engineering Maths II because of you. Thank you very much, I'm eternally grateful to you sir.
I am so happy to hear This.
You're welcome 😊
idk what to say , it the first video in my life watching complete for studying , your method is so awesome keeing engaged and all previous concepts used are also cleared in each step like integration by part which i kept forgetting but u told me a way i can remember it always . you are real teacher , u need to be teaching in my uni , love your sir , your concepts and teachings are unmatchable coz a real teacher is unbeatable and i'd want to say you my real teacher
Thank you very much for the compliments, I'm so happy that I could help. You're welcome to my channel, please, make yourself comfortable.
I'm preparing My test 1 on 17 August sir. You will be saving me.
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Would you do us another video on solving PDEs using Laplace equation, Separation of variables.
Some on heat equation,wave equation ❤❤
@@sutheen I am so sorry, since TH-cam took off my monetisation, I've stopped making videos.
You're God sent! You make Fourier series easy for me now! 🎉
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Thank you so much , have totally understood unlike when I went to class
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It's a joy watching you go through your explanations! Keep it up!!
Incredible Video, Love from UK 🇬🇧
Thank you so much. So incredibly helpful :)
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Woa thanks Soo much brother for the brilliant lecture I have understood even and odd functions well than before 🙏🙏🙏 Blessings follow you
This helped me a lot! The most useful vid on the topic
You are good at teaching, very understandable
Thank you.
In fact I like this your tutorial you are one of the best.
Thank you very much 😊
You are really a genius. 🙏🙏🙏 Kindly Share the link for complex analysis and PDEs aswel
I am very sorry, I don't have any videos on them.
Great. This is Fourier series made easy. Fantastic. Thanks.
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I Love All of My Viewers. You matter so much to me. I'm so glad that my videos could help. I wish you success, Cheers😊
🎉 best video ever, you just made my day 😍😘 Fourier series made easy....
❤❤❤ thank you teacher, the way teach is very clear. I'm watching your video from Ethiopia. M sugh u.
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Sooo underated. Thank you for the beautiful explanation 😊
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Thank you boss for your dedication to making us pass
Thank you
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your explanations are just superb
😀
Thanks
thanks a lot its help me
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good job
continue to make other videos
Okay, Thanks
thank you for the helpful video!
I'm glad that I could Help.
Cheers
This video is soooo detailed
Nice one sir❤
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Very helpful videos🎉❤
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Super explanation sir.
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Thanks
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thank you brother..you helped alot
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I am a female too .
Welldone boss.
Wow, that's great.
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Thank you. 😊
Thanks sir
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Sir, please do you tutor privately
Yes, I do.
it is always impotant to draw the graph to see if is even or odd
Yes
Hey...ive got a screenshot having a question paper in which there is a fourier question...kindly help me...am from kenya and i have learnt alot in your vedios
Send an email to avitechsinach@gmail.com
A girl here😂❤You are a saviour
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I guess I've saved more lives than doctors 😂😂😂😂
a question please we are intergrating for a single period right which start from negative pie to positive pie but you solving only for half period y is that so 🙏🙏🙏
It is explained in the video.
The function is an Even function, so the integral from -π to π is the same as taking double of the integral from 0 to π.
Why are we having 2/π for a note, instead of 1/2π? Kindly enlighten me. Thank you.
All textbooks follow same formula, however, one can decide where to place constants. First of all, the function is an even function, so I won't be using same formula.
Watch this video First.
th-cam.com/video/BSEN9GhdDRE/w-d-xo.html
Then watch this other video for even and odd functions: th-cam.com/video/4bFNAthJOLA/w-d-xo.html
since your period for determination goes from -pi to pi -> 2pi why is it that you used pi in the formulas for the period? The final values, i believe, should be halved because of this. For example If you pick your determined value for a0 and do that: (2+pi)/2, you have the average value of the function, that is what that coefficient represent.
I don't understand.
It`s clear.
Sir why did write 2/pie in case of even function instead of only 1/pie integrate 0 to pie--> f(x).dx
Watch this video about even and odd functions.
th-cam.com/video/4bFNAthJOLA/w-d-xo.html
Gracias avi 👏👏👏
Thanks Lambert 😊
Thanks Lambert 😊
Thank you🎉
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When finding a⁰ why did you use only the bottom as f(x)?
Sir,if we take x=+-π then what will be the value of f(x) when we deduce the series
The value of f(x) can either be 1+π or 1-π. Taking a midpoint, that would 1.
Thank you 💕
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The pleasure is Mine.
Great video. Just what I needed to get through Fourier series. I've got a question however: At 23:04, since u chose n=1, shouldn't that also apply to the denominator at that point as well since after all, it's the same n which would consequently affect your working at 26:05? I'd appreciate if u can clarify this for me.
I've watched the video at the timestamps, but I don't seem to comprehend your question.
@@AVITECHNOLOGIES What I meant to say was that, where u had 2/πn^2 ((-1)^n -1), and u assumed that n was odd (in this case 1), why didn’t you get -4/π , since it was the same n at the denominator?
Ohhh, now I get, in Fourier series, we try to get a general formula in terms of n, but we also try to eliminate locations were n is the power of 1 or negative 1. {(-1)^n -1}, This bracket is going to have a constant value for ANY odd value of n. But at the denominator is going to present different values. I would make a short video to explain this, if you don't still understand.
I too gbadun your video guy... You fit teach PDE too?
Yes, I fit, but I don't know when I'll be able to make it. I already have a long list of videos to make. I will surely make videos on it, but I don't know when. Thanks Boss.
He said share this to your female coursemates 😂😂😂😂😂
Okay sir.
Yes o
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Wow!
I'm a male too but gonna subscribe
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Am a female ❤thanks for this
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Why was the upper f(x) neglected when finding a⁰
The function is an even function, so you can modify the Formula for a0 and pick any 1 of the function value. If you check properly, I integrated from zero to pie, that's why I used the other f(x) value.
To fully understand Even and odd functions, click this link: th-cam.com/video/4bFNAthJOLA/w-d-xo.html
Am here
You're welcome
Please help me answer this exam question: " show that an even function can have no sine term in it's Fourier expansion"
th-cam.com/video/4bFNAthJOLA/w-d-xo.html
That's my Video on Even & Odd Functions. For an even function, the Fourier coefficient Bn is equal to zero because the integral of odd functions over symmetric intervals is ZERO.
Click the link above To Understand how to prove it. I trust that video will answer your question. Thanks
2/pi ? isnt it supposed to be 1/2*pi?
No.
I'm female too... and I am definitely going to share this videos with others having problems with Fourier series... because it's the best I have come across so far😊
Thank you very much🤗