Fourier Series: How to Find the Fourier Series 2 | EMA382

Fourier Series is an infinite series in which the terms are constants multiplied by sine or cosine functions of integer multiples of the variable and which is used in the analysis of periodic functions.
1. Introduction To Fourier Series
2. Integration of Periodic Function
3. Integration of Functions over a single period
4. Integral of trigonometric functions
5. Integral of Fourier Series
6. integral of sin nx sin mx
7. How To integrate Fourier Series
8. How To solve for Integrals of Periodic Functions
9. How to Solve for the Fourier Series Coefficients
10. Fourier series coefficient calculation
11. How to Pass Engineering Mathematics
12. How to Determine Fourier Series
You can learn more by clicking Any of These Links;
Fourier Series & Periodic Function: • Fourier Series & Perio...
EMA382 | Engineering Mathematics IV For Uniben 300 Level Students: • EMA382 | Engineering M...
#fourier
#fourierseries
#periodicfunction
#integration
#integral
#ema382
#engineeringmathematics

[@VYT05]

This vid helped😭 this is a night before my engineering maths exams😭😭

[@AVITECHNOLOGIES]

I wish you success 🥺

[@Lumyo_xo]

😂 I hope you passed, mine is tomorrow 😅.

[@legendseyi]

Thank you very much for this sir. Thank God I stumbled on this video.

[@AVITECHNOLOGIES]

You're welcome

[@abiolaayinde-tt6hh]

God bless boss this really helped my understanding of this topic 🙏🏼🙏🏼🙏🏼🙏🏼

[@AVITECHNOLOGIES]

Amen

[@ZahfranSajid]

scrolling down very videos finally reached :) great work

[@AVITECHNOLOGIES]

Thanks

[@Andy_Best]

if i had you as my lecturer my maths skill would have been a lot better

[@AVITECHNOLOGIES]

You can still get better.
You're welcome to my channel.

[@gameliadeti2967]

I tell you

[@DavicyDavo-hl3dt]

God bless you mentor 🙏💯💡 I couldn't understand anything about fourier series, non of my friends could put me through and my lecturer gave us this particular fourier series as an assignments God bless you sir am glad to have an encounter with you

[@AVITECHNOLOGIES]

Amen.
You're welcome.
I'm happy that I could help.

[@makehow1701]

Very detailed. Thank you. I was reading from textbook but couldn’t understand 😂

[@AVITECHNOLOGIES]

You are welcome 😊

[@danielosakwe7140]

Please don’t stop making these videos 🙏🏼 Thank you

[@AVITECHNOLOGIES]

Ok Sir, I'll definitely continue.
From Tomorrow evening, back to Back.

[@victorkankomba6061]

This was beautiful very well explained, on each and every point assuming the learner doesn't know anything.... This was very insightful

[@AVITECHNOLOGIES]

Thank you 😊

[@victorkankomba6061]

How ever I don't understand on how the formula changes period like wen the function is f(x+2π) and when the function is f(x + 6) the Fourier formula changes on the period...I don't understand how they are deriving a new period

[@josephwodi3820]

Bro your videos save lives men.... see as you just broke down this thing.. Thank you

[@AVITECHNOLOGIES]

You're Welcome ☺️

[@bensontaofeek1315]

Thanks for your videos sir. It helped me pass my exams last semester

[@AVITECHNOLOGIES]

You're Welcome 😊

[@AGM-ry8ij]

You videos are indeed helpful to us as students please keep doing more ✊🏾

[@AVITECHNOLOGIES]

Thanks, I'll make More.

[@josephagbara8538]

Thanks boss, please don't stop making this videos.

[@imranjaffar8877]

I find it so helpful, nice work!

[@danieloyedepo1125]

U made it look easy,I loved ur step by step explanation sir, u re indeed a GENIUS.
Would love to see more videos on Laplace, Beta and Gamma functions sir.
More grace maths Don🙌

[@AVITECHNOLOGIES]

Thank You Very Much.
Meanwhile, I will be adding more videos to these playlists soon. Click each link to watch the videos.
Laplace Transform | EEE312 | Electrical Theory: czcams.com/play/PLyIQ6tJ1a5bb9TueGyVd-egAgXVisAD0N.html
Beta Function | Integral Functions: czcams.com/play/PLyIQ6tJ1a5bapsxmJ6FCA5o5lZauqpXMi.html
Gamma Function | Integral Functions: czcams.com/play/PLyIQ6tJ1a5bb1tLDXdj48z-HMixxkMX_k.html

[@danieloyedepo1125]

@@AVITECHNOLOGIES thanks so much tutor, ur videos were actually helpful for me in my just concluded exams ❤️🙏 keep up with the good work boss. Avitech to the world 🌎

[@danieloyedepo1125]

@@AVITECHNOLOGIES I won't stop recommending ur channel to friends maths Don 🙌❤️no I believe that aliens really exist 😂 cos u re an alien in mathematics ur approach to questions are always impressive.

[@Defi_Sanzo]

I really enjoyed the topic
Well explained in details, and very easy to understand
I will look forward to seeing more videos from you in other engineering mathematics topics
Thanks

[@AVITECHNOLOGIES]

You're welcome 😊

[@Nelle__]

Great video, would love to see more videos about Fourier series. 🤲

[@AVITECHNOLOGIES]

Already in Process sir.

[@umarabubakar4902]

Seriously, thumbs up sir 👏

[@judem433]

Thanks a great deal for the fantastic delivery of this topic. Could you also add Convergence of Fourier Series with all those continuous and jump discontinuity etc?

[@AVITECHNOLOGIES]

Yeah, I would make videos on that. They'll be on my new channel. I lost my monetisation on this channel.

[@judem433]

@@AVITECHNOLOGIES. Oh sad. What is your new channel please?

[@AVITECHNOLOGIES]

@judem433 Avitech Maths.
There's no video there yet. But I'll soon start uploading videos and drop a video on this channel to notify my subscribers on this channel.

[@sub-infinity9401]

It keeps getting better. Thank you Sir

[@AVITECHNOLOGIES]

I'm grateful.
The ministry is moving gradually 😅

[@Ball-Boy005]

I can tell you used KA stroud. Bro you're just too good sha. Agba 5.1 cgpa

[@AVITECHNOLOGIES]

😂

[@kinglucky8351]

this tuttorial is super cool
i love it

[@AVITECHNOLOGIES]

You're welcome

[@osunrinadebukola6082]

Thank you so much sir
You're doing well

[@AVITECHNOLOGIES]

You're welcome 😊

[@adefiranyeella8641]

Best Explanation so far,Thank you so much

[@ayanlowoolalekan8052]

You're the best sir😊

[@AVITECHNOLOGIES]

Thank you 😊

[@elijahcletus3728]

This was very helpful and easy to comprehend, thanks 👍

[@AVITECHNOLOGIES]

You're welcome 😊

[@nosicelogxilishe8355]

yho you just saved my semester. i cant thank you enough

[@AVITECHNOLOGIES]

You're welcome.

[@abdullahiopeyemi2825]

I really like ur teaching skills ❤

[@eec2224]

Thank you for the indept analysis, I was about giving up when I met this channel. More grace to forge ahead. Please do you have videos on Bessel functions?

[@AVITECHNOLOGIES]

I'm indeed grateful.
For Bessel Functions, I don't have a video on it. I will add it to the list of videos that I will make this month.
Thank you.

[@user-jl2rk5je4b]

I almost gave up too 😂…great job sir🥰

[@emmanueloyewale9237]

Thank you so much
So helpful

[@AVITECHNOLOGIES]

You're welcome

[@GC-oy6bm]

Wow...thank you....effortless brilliance

[@AVITECHNOLOGIES]

You're welcome 😊

[@Thon.Kuot.inspiration]

Very helpful, I found it last semester, but this semester I have another course that requires Fourier, so I tried to check this video for the last two days, but couldn't get till today. I found it the most understandable Fourier videos on the CZcams.

[@AVITECHNOLOGIES]

This comment made my day. I'm grateful

[@silasonoshefe7437]

Thank you very much for making it much more easier.
Please just a soft suggestion.
Can the videos be numbered to know the order of the teaching sir

[@AVITECHNOLOGIES]

You're welcome 😊
To get an orderly arrangement of videos, use my playlist for a particular topic. On a playlist, it's well arranged, you'll know videos you've watched and the Next you need to watch. Here's the playlist on Fourier Series & Periodic Function | Problems And Exam Solutions: czcams.com/play/PLyIQ6tJ1a5bajJUe52S3qzli2PwZgcjw8.html
Thank you very much for joining my community/channel.

[@silasonoshefe7437]

Thank you very much

[@AVITECHNOLOGIES]

@@silasonoshefe7437 You're welcome.

[@abenezerhabtamu4999]

You are one of kind

[@AVITECHNOLOGIES]

Thanks

[@chibuzorokwudinma8911]

Thank you so much for this video
God bless you richly!

[@AVITECHNOLOGIES]

It's my pleasure, more to come this weekend.
Thanks.

[@Cintaa553]

Very detailed ,,,❤explanation is awesome

[@AVITECHNOLOGIES]

You're welcome 😊

[@ezenwoyeifechukwu1133]

thanks so much. im really impressed from your video

[@AVITECHNOLOGIES]

You're welcome 😊

[@Hanzy256]

This haa made fourier functions look simple

[@fidelisomoni7537]

"That's Madness"😂😂. Nice Tutorial Bro😎😎

[@AVITECHNOLOGIES]

Thanks Chief 😂✅

[@mussdossantos6472]

Keep the good work alive

[@AVITECHNOLOGIES]

Thank you very much.

[@kechazileonel8141]

Please keep up WITH YOUR GREAT JOB SIR

[@AVITECHNOLOGIES]

I'll do just that 😊
Thank you.

[@adinnua5andrew156]

Forgot to tell you that you got me an A Legit. but I’m doing it again this semester so I came back😊

[@AVITECHNOLOGIES]

I'm so happy to know this, it's good to have you back 😊

[@rakiyamohammedkabiradamu8118]

Very clear and rich step by step explanations. Very motivating. Very well done and do keep it up. But can try to get a closed form of the series after the first term? Do have a go at it. Thanks.

[@classictv3596]

That's useful Video. Thanks so much

[@user-th3ul7jl1l]

Thanks for the impact

[@AVITECHNOLOGIES]

You're welcome 😊

[@charleswanyoike2677]

You have saved a life sir

[@AVITECHNOLOGIES]

I'm glad that I could 😊

[@KalaiyarasanAbilash]

Thanks a lot ❤

[@AVITECHNOLOGIES]

You're welcome

[@mtopangaprimo2556]

One more thing. Please include thank you Button on us CZcams.some of us could contribute for inks used.😊 most CZcamsrs have.thanks very very much.

[@AVITECHNOLOGIES]

Hey there, I am glad to say that I have activated the super thanks button. Thank you very much.
Also, based on your previous comment, I have a video that explains how to identify even and odd functions, here's the link: czcams.com/video/4bFNAthJOLA/video.html
You can get my full videos on FOURIER series here: czcams.com/play/PLyIQ6tJ1a5bajJUe52S3qzli2PwZgcjw8.html

[@rashaashton2738]

Good explaining,
Go ahead man

[@AVITECHNOLOGIES]

Thanks.

[@Discar_mw]

You're such a genius 🤩🎉😂

[@AVITECHNOLOGIES]

Thanks 😊

[@wisdometukakpan6234]

This was very helpful to me
Where have you been all these while

[@AVITECHNOLOGIES]

CZcams has been hiding the video 😂

[@umarabubakar4902]

Thanks for the explicit explanation sir

[@user-js7lv4ji3m]

Bro you badd😂❤❤

[@AVITECHNOLOGIES]

😂😂😂😂😂

[@DavicyDavo-hl3dt]

Omo e good die

[@MokoladeFelix-kf8hi]

You're amazing

[@AVITECHNOLOGIES]

Thanks 😊

[@xylemkimsky]

Please can do a video on bounded variation 😢 and Riemann steljes integral?

[@AVITECHNOLOGIES]

I will have to study it extensively first, I have no idea about the subject matter at the moment.

[@sebastinemeh4156]

Grate work sir

[@espace2323]

Sir Please I realized that you used a period of pi for the a0. Can you please explain why?

[@AVITECHNOLOGIES]

I didn't use the period of π. The distance from -π to π is equal to 2π. The period is 2π.

[@aminanasiru81]

Thank you so much for your help 😊

[@AVITECHNOLOGIES]

You're welcome, the pleasure is mine.

[@rosemaryokoye7046]

​@AVITECHNOLOGIES

[@sandycombalicer]

very detail thank you very much sir.

[@oddeee_8515]

good job loui

[@rachelndubuisi2212]

Thank you 🙌🙌

[@bismarkdblaq4398]

Good morning

[@AVITECHNOLOGIES]

@@bismarkdblaq4398 good morning

[@olanipekunmuiz7161]

please, is there a video you did on introduction to Fourier series or where you started it from EEE231

[@AVITECHNOLOGIES]

Yes, I have a playlist that covers an introduction for Fourier Series. Here's the playlist.
Fourier Series & Periodic Function | Problems And Exam Solutions: czcams.com/play/PLyIQ6tJ1a5bajJUe52S3qzli2PwZgcjw8.html
Thanks.

[@olanipekunmuiz7161]

@@AVITECHNOLOGIES Thank you very much

[@estherosadua4670]

Thank you for the video , please i got confuse about a0 = 1/L and you said that L = period /2 which means pi/2 is our L but instead you use ao = 1/ pi instead of 2 / pi

[@AVITECHNOLOGIES]

The period is 2π.
The function is from - π to + π, hence, the period from minus π to π is 2π.
L = 2π/2 = π . Therefore, a0 = 1/L = 1/π.
You're welcome 😊

[@ammarlaichi8474]

if the variation between pi/2 and -pi/2 equivalent to half of cercle not rectagle the same of this video, how do we do.

[@AVITECHNOLOGIES]

I don't understand what you are trying to say, but I'm certain that you're talking of something I've made a video on. Watch the video I made on Fourier series marathon, Question 7 should be similar, but I used -π to π. I have already started how - π/2 behaves with sinnx and cosnx, so that should aid your understanding.
czcams.com/video/7qxa5QOQED0/video.htmlsi=hQyxd8jg-OVSRFOj
Question 7, f(theta) = theta²

[@funmilayoracheal1946]

​@@AVITECHNOLOGIES pls sir, I need help on this question find the Fourier series representation of x-x² from -π to π

[@magurutheboneless]

Much respect

[@Havenofmovies555]

God i get engineering maths this morning 😭😭😭

[@AVITECHNOLOGIES]

I wish you success.

[@Havenofmovies555]

@@AVITECHNOLOGIES the fact that this exact question came out. Thank you very much for this video.

[@abdulhamidtaofeek121]

I couldn't find your video on fourier transform

[@AVITECHNOLOGIES]

I don't actually have much on Fourier Transform; here's what I have.
1st: czcams.com/video/RP-X4zbu3v0/video.html
2nd: czcams.com/video/0o4KaRXRW0Q/video.html

[@fieldsofcomedy]

I noticed you making use of 1/π as start of each formula excluding T which is the period and W, which is part of the formula. For a•, an and bn.
What I know of the formula as a•=1/T integral of f(t) dt.
an=2/T integral of cosnwt dt
bn= 2/T integral of sinnwt dt
My question now is why did you exclude the w and made use of 1/π through out the formula. I will greatly appreciate your feedback, thanks

[@AVITECHNOLOGIES]

The period is 2π.
I have already simplified it with An and Bn. As for A0, the final formula I used for Fourier series is having the division by 2.
Everything is correct, it's just a mix of how I love my formulas to be.
I will look for a video for you.

[@AVITECHNOLOGIES]

czcams.com/video/BSEN9GhdDRE/video.html
Here's a video that will help you.

[@user-vp5jg1ep3d]

Please how do I know when the series is odd or even?

[@AVITECHNOLOGIES]

czcams.com/video/4bFNAthJOLA/video.html
That's the link.
For all videos on Fourier Series, check; Fourier Series & Periodic Function | Problems And Exam Solutions: czcams.com/play/PLyIQ6tJ1a5bajJUe52S3qzli2PwZgcjw8.html

[@odeniyidamilolavictoria2748]

Thank you for the video it's really helpful

[@AVITECHNOLOGIES]

You're welcome.
Check other videos on Fourier Series here: czcams.com/play/PLyIQ6tJ1a5bajJUe52S3qzli2PwZgcjw8.html

[@SHEMZILLER]

Thanks

[@AVITECHNOLOGIES]

Thanks Boss

[@funmilayoracheal1946]

Wow, I really enjoyed your class sir, sir am having challenges solving this question pls can you help me out.
Find the Fourier series representation of
X- X² from -π to π
Thanks you sir.

[@stephenanthony5345]

How can I get to you directly sir? Either via whatsap sir? 🤲🙇. Thank you so much for all you do.

[@AVITECHNOLOGIES]

08122504194

[@apexslor1637]

26:30
If I differentiate nx and it is giving me n, please sir why are we writing it as 1/n

[@AVITECHNOLOGIES]

That's the rule of integration.
If you integrate sin(nx), your result is - cos(nx) divided by n. You will have to divide by the derivative of nx. If you integrate cos4x, your result is sin4x divided by 4.

[@cyber-ga]

SHARP EXPLANATIONS.

[@AVITECHNOLOGIES]

Thanks Boss

[@mositolekhooana2157]

Is the integral for a_0 not 1/2pi...?

[@AVITECHNOLOGIES]

Depends on what your Fourier series expansion formula is. As for me, my formula for Fourier Series has a0/2. Hence, when writing the individual formula for a0, I don't need to put over 2 at the denominator.
Here's a video regarding my derivation: czcams.com/video/w6MXI7dkwTE/video.htmlsi=OV_dMTxkwmVpoP6F
Here's another video discussing about different formulas used in Fourier series:czcams.com/video/BSEN9GhdDRE/video.htmlsi=-jIh6KkWDowEHcQ5
Thank you.

[@mositolekhooana2157]

Thank you, got it. Great work@@AVITECHNOLOGIES

[@ademesoayomide-op6rz]

Why your voice change 😅

[@AVITECHNOLOGIES]

Did it change?
I did not notice.

[@abdullahiopeyemi2825]

😢pls sir your WhatsApp number,I have a question ,I saw one forier series questions which I don't understand the word bcos is a continuous function no need to start from 0 to 2pi nd they did not double the a0

[@AVITECHNOLOGIES]

Okay. Check my about section on CZcams to see options that will lead you to chat me on WhatsApp.

[@makehow1701]

Very detailed. Thank you. I was reading from textbook but couldn’t understand 😂

[@AVITECHNOLOGIES]

You are welcome sir.