Fourier Series: Analytical Description Of A Periodic Function

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  • เผยแพร่เมื่อ 17 พ.ย. 2024

ความคิดเห็น • 162

  • @williammartin4416
    @williammartin4416 ปีที่แล้ว +8

    Thanks!

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      You are welcome.
      I am grateful for This 😊

  • @amehemmanuel99
    @amehemmanuel99 หลายเดือนก่อน +1

    This guy is a legend ! I am a Phd Student here at Cornell University and I am finding these very useful . God bless. I would love to reach out as well . Let us connect

  • @andreabalieva
    @andreabalieva 5 หลายเดือนก่อน +4

    *transferring my tution money to this guy*

  • @brofexi602
    @brofexi602 2 ปีที่แล้ว +5

    Nahhh ur helping alot
    av been looking for videos on fourier series till i stumbled on ur channel
    keep going strong bro
    gonna share your video to the entire engineering department
    our new engineering maths teacher

  • @tibrummichael2715
    @tibrummichael2715 4 หลายเดือนก่อน +1

    you are the best teacher i will keep ur till i graduate

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  4 หลายเดือนก่อน

      You're welcome.
      th-cam.com/video/q0ODV63wYKw/w-d-xo.html

  • @judeeeeeeee9424
    @judeeeeeeee9424 ปีที่แล้ว +1

    Your so much of a blessing to me, KA STROUD didn't say annything about that equation of a line, i don't know how he just suddenly wanted us to figure that ourselves

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      You're welcome 😊
      I am so happy that I could help.

  • @JoshuaObokparo
    @JoshuaObokparo 3 หลายเดือนก่อน +1

    Watching from DSUST, Ozoro
    Great work

  • @tesfayewegderesegn
    @tesfayewegderesegn 11 หลายเดือนก่อน +1

    . YOU ARE DOING AN EXCELLENT JOB. AS AN ELECTRICAL ENGINEER I UNDERSTAND EVERYTHING YOU ARE DOING AND APPRECIATE. I HOPE YOU ARE PERSUING YOUR PHD IF YOU HAVE NOT DONE IT OR DOING IT. GOOD LUCK
    TESS FROM IUSA

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  11 หลายเดือนก่อน

      Thank you very much for this comment.😊

  • @rayhanpale8684
    @rayhanpale8684 4 หลายเดือนก่อน +1

    a really good teacher, thank you

  • @VenusKapumba
    @VenusKapumba 4 หลายเดือนก่อน +1

    Watching from the University of Zambia.....Great WORKS SIR

  • @KylianVictor-lp3wo
    @KylianVictor-lp3wo 7 หลายเดือนก่อน +1

    I'll be having my Fourier exams tomorrow and I've read through your channel. Thank you so much for the lessons.

  • @JosephOgechukwu-qp7ei
    @JosephOgechukwu-qp7ei ปีที่แล้ว +1

    been helpful for my EMA382

  • @davidkolly3238
    @davidkolly3238 ปีที่แล้ว +2

    I have an exam this afternoon and coming across your page is the best thing that happened to me

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      I am so happy for you, I wish you success in your Exams.

  • @isokenogbebor4510
    @isokenogbebor4510 3 หลายเดือนก่อน +1

    This was way toooooo explanatory. Thank you chief🙌🙇‍♀️

  • @SamuelAjiboye-p1j
    @SamuelAjiboye-p1j หลายเดือนก่อน +1

    Thanks a lot bro have been finding this difficult until I met your video

  • @cleopascletus2707
    @cleopascletus2707 5 หลายเดือนก่อน +2

    I'm Sharing this with my coursemates

  • @bellojibo4509
    @bellojibo4509 10 หลายเดือนก่อน +1

    Good afternoon the lecture is very intresting

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  10 หลายเดือนก่อน

      Thank you very much 😊

  • @nta699
    @nta699 ปีที่แล้ว +2

    Great video. Simply explained. Keep up the good work!

  • @victorbash
    @victorbash ปีที่แล้ว +1

    This is a lot of value!... Thank you sir.

  • @superawesomechannel3778
    @superawesomechannel3778 ปีที่แล้ว +1

    teach us on dirichlet conditions sir. otherwise your lecture is literally good. kudos to you

  • @karinaololo
    @karinaololo ปีที่แล้ว +2

    Much love from unilag!

  • @embiidobi7287
    @embiidobi7287 2 ปีที่แล้ว +5

    Thank You so much Sir, K.A Stroud didn't explain this..

    • @miracleumah3147
      @miracleumah3147 ปีที่แล้ว +2

      Swrs bro, that was why I ran here

    • @judeeeeeeee9424
      @judeeeeeeee9424 ปีที่แล้ว

      i thought i was the only one ,i don't know how he just suddenly wanted us to figure that out by ourselves

    • @jeremiahsampson340
      @jeremiahsampson340 4 หลายเดือนก่อน

      @@judeeeeeeee9424 i was looking at KA Stroud last night and i thought the workings were magic until i came across this guy here

  • @lrokachukwuebukapaschal2720
    @lrokachukwuebukapaschal2720 ปีที่แล้ว +1

    A very descriptive video, so easy to understand. Helped alot thanks

  • @adeboyematthew4391
    @adeboyematthew4391 ปีที่แล้ว +1

    God bless you for explaining it

  • @chibuzorokwudinma8911
    @chibuzorokwudinma8911 2 ปีที่แล้ว +1

    This was very helpful, God bless you brother

  • @faithoviri4564
    @faithoviri4564 19 วันที่ผ่านมา +1

    This was interesting and understanding thank youuu 😊

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  19 วันที่ผ่านมา

      @@faithoviri4564 you're welcome

  • @wasiuadeleke6869
    @wasiuadeleke6869 ปีที่แล้ว +1

    Thank you boss... You made it simpler to understand

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว +1

      I am happy that I can share my knowledge ☺️

  • @adesiyanemmanuel4399
    @adesiyanemmanuel4399 ปีที่แล้ว +3

    God bless you sir having being having difficult until i watch your video
    But sir how can we sketch the graph if we we are given the interval sir
    Can you please help us with a video too sir

  • @samueljoshua8249
    @samueljoshua8249 ปีที่แล้ว +1

    Thank you…God bless you

  • @mernstackgodfather
    @mernstackgodfather 3 หลายเดือนก่อน +1

    Well done 👍🏻

  • @MindsetAIandComputations
    @MindsetAIandComputations ปีที่แล้ว +1

    Thank God i found this before tomorrow 😊

  • @emmanueldaniel4970
    @emmanueldaniel4970 ปีที่แล้ว +1

    Wow great work sir

  • @EricArthur-sm7ur
    @EricArthur-sm7ur 4 หลายเดือนก่อน +1

    You're more than the best bro🎉 you've done all I just don't know what to do I like u man keep up 💓

  • @Jh_osaite
    @Jh_osaite 2 ปีที่แล้ว +2

    thank you very much...this video made to really understand Fourier better.
    I would like to appeal that u should pls solve past questions of Fourier series. this would really help us because allot of us pay to get it outside. I'm sure everybody would rush to this channel if past questions on Fourier is solve. thank you sir. God bless you

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  2 ปีที่แล้ว +2

      Amen.
      I have started making videos using past questions, they would be uploaded soon.
      I already have a plan to make a marathon video that will treat everything in EMA382, ENGINEERING MATHEMATICS.
      This is the playlist FOR EMA;
      th-cam.com/play/PLyIQ6tJ1a5bZKSI23KxTzfMDnimlVM072.html
      Please, Watch and Share the video. Thanks

  • @DennisNamugowa
    @DennisNamugowa หลายเดือนก่อน +1

    Thanks sir,,you have made it for me

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  หลายเดือนก่อน

      @@DennisNamugowa You're welcome

  • @saadmagaji2829
    @saadmagaji2829 ปีที่แล้ว +1

    Thank you very much brother. This is very helpful. Gob bless you sir.

  • @Visionmaker70
    @Visionmaker70 9 หลายเดือนก่อน +1

    Good job done

  • @aminuisiaka9477
    @aminuisiaka9477 ปีที่แล้ว +1

    This is just so Good, your explanation was topnotch 👌..you just save a life believe me..
    Thanks a lot bro

  • @zainabojebisi4376
    @zainabojebisi4376 2 ปีที่แล้ว +1

    Thank you sir, this help me a lot✅

  • @fitnessasap7513
    @fitnessasap7513 6 หลายเดือนก่อน +1

    Well-done sir ✨🤗

  • @oluwatobiakinola25
    @oluwatobiakinola25 8 หลายเดือนก่อน +1

    Thank you very much sir!

  • @michaelatoaustin3985
    @michaelatoaustin3985 ปีที่แล้ว +1

    My guy you're too good 😊😊🎉. I'm now free from this nightmare 😂

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      Thank You, I am glad that I could Help 😊

  • @jeremiahsampson340
    @jeremiahsampson340 4 หลายเดือนก่อน +1

    This guy here; amazing video from this guy

  • @Chibuikemegeonu
    @Chibuikemegeonu ปีที่แล้ว +3

    Can you take us on curve fitting and method of least squares??? Much love here Sir from Futo for all you do, you've helped us a lot.

  • @divineopute5990
    @divineopute5990 8 หลายเดือนก่อน +1

    Very explanatory

  • @abubakariyussif9924
    @abubakariyussif9924 ปีที่แล้ว +1

    Good evening Sir. We thank you so much for your service. please I saw the following question and want you to help me with the solution [ f(x) = x^2 + 2x + 1 in the interval ( -π, π). thank you

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      There's a marathon video I made, it almost suits your question. I advise you watch the video completely, but to get to the exact question that is similar to yours, skip to question 5. Here's the link: th-cam.com/video/7qxa5QOQED0/w-d-xo.htmlsi=zeaA7OL1YoMGuYMP
      The question solved was f(x)=x² + x + 1.
      You are welcome.

  • @michaeljohn1325
    @michaeljohn1325 2 ปีที่แล้ว +1

    Very insightful 👏🏾😊

  • @preciousonoharigho9889
    @preciousonoharigho9889 ปีที่แล้ว +1

    Thank you very much.

  • @princehub6782
    @princehub6782 ปีที่แล้ว +1

    Thanks a lot👍👍👍👍👍👍

  • @ayanboyemiracle4217
    @ayanboyemiracle4217 3 หลายเดือนก่อน +1

    Thank you soo much for this

  • @uyirex10
    @uyirex10 2 ปีที่แล้ว +1

    Keep on with the good work sir ✊

  • @abovewaters9556
    @abovewaters9556 ปีที่แล้ว +1

    Kudos 👍

  • @kolbe6436
    @kolbe6436 ปีที่แล้ว +1

    Very helpful video. Keep up the good work ☺️

  • @fabiannwangwu2465
    @fabiannwangwu2465 10 หลายเดือนก่อน +1

    Can someone use 0

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  10 หลายเดือนก่อน +1

      Yes, absolutely.
      You can include the equal to with the inequality.

  • @CEPHASSHEHU-yu4bh
    @CEPHASSHEHU-yu4bh 5 หลายเดือนก่อน +1

    Thanks so much sir

  • @chiemelieojiakor5958
    @chiemelieojiakor5958 ปีที่แล้ว +1

    You real good bro

  • @petersamuel1620
    @petersamuel1620 4 หลายเดือนก่อน +1

    God bless you.

  • @ChristianOnyedika-b3m
    @ChristianOnyedika-b3m 9 หลายเดือนก่อน +1

    Nice one, bro
    It really helped a lot

  • @ishmelswagz9223
    @ishmelswagz9223 ปีที่แล้ว +1

    Good

  • @IsraelOluwatosin-xk1uj
    @IsraelOluwatosin-xk1uj 10 หลายเดือนก่อน +1

    I love your method of communication..

  • @allyisaac3913
    @allyisaac3913 2 หลายเดือนก่อน

    So is there a relationship between a piecewise function and a periodic function?

  • @favoursuccess7357
    @favoursuccess7357 2 ปีที่แล้ว +1

    Thanks Boss

  • @osheonamejere7342
    @osheonamejere7342 7 หลายเดือนก่อน +1

    For number 4, analysing when x=7,x=9, . How is f(x)= o. When did we not follow thr graph and trace it to the point at the top?

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  7 หลายเดือนก่อน

      From x=7 to x=9 is a horizontal line.
      The slope of a horizontal line is Zero.
      The horizontal line is directly on the x-axis. On the x-axis, y=0, hence, f(x)=0.

  • @peterogbonna5537
    @peterogbonna5537 ปีที่แล้ว +1

    Thanks alot man

  • @zayne-sarutobi
    @zayne-sarutobi ปีที่แล้ว +1

    Please what's the method you would have instead of going through the process of line formula?

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      I don't think there's another way to find equation of a line.

  • @estheralagbu7636
    @estheralagbu7636 ปีที่แล้ว +1

    Thank u

  • @advertisementecosystem8347
    @advertisementecosystem8347 6 หลายเดือนก่อน +1

    Thanks but do we need to always solve the the last point instead of solving it each point

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  6 หลายเดือนก่อน

      I don't understand your question.

  • @collinsodoom5479
    @collinsodoom5479 3 หลายเดือนก่อน

    When finding for the period, is the cycle starting from 0 or from the y value?

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  3 หลายเดือนก่อน

      The cycle can start from anywhere.
      However, you have to make sure the cycle is repeating at the intervals you've picked. Also, majority, if not all of my graphs which I considered in this video started their cycle at x=0. But generally, it could start anywhere.

  • @chiemelieojiakor5958
    @chiemelieojiakor5958 ปีที่แล้ว +1

    I will buy you chilled malt 😁 thank you sir

  • @chineduclement1831
    @chineduclement1831 ปีที่แล้ว +1

    Pls I need introduction to Fourier series pls

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      Fourier Series & Periodic Function | Problems And Exam Solutions: th-cam.com/play/PLyIQ6tJ1a5bajJUe52S3qzli2PwZgcjw8.html

  • @praiseomoragbon9599
    @praiseomoragbon9599 ปีที่แล้ว +1

    Fun fact: Excellent

  • @bankoleayomikun7276
    @bankoleayomikun7276 4 หลายเดือนก่อน +1

    Genius

  • @Rexwill12
    @Rexwill12 ปีที่แล้ว +1

    Sir for the number 3 why didn’t you just use 10 to 12?
    Is it because the period has to be immediately after the starting point?

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      I advice you watch the video again. We are discussing periodic graphs, in these graphs, they are repetitive and you only need to find point where it starts, then repeats again.
      For Question 3, the graph started from 0 and when it got to 7, we noticed it started repeating itself again. Hence, we only need to study the portion of 0 to 7, the rest part of the graph is just an extra.
      However, one can consider 7 to 14, as that would also be repetitive, but as you can see, the diagram stopped at 12. Check all the functions that were analytically described in this video again.

  • @kaystyles2983
    @kaystyles2983 2 ปีที่แล้ว +2

    Sir in question, what about CD

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  2 ปีที่แล้ว

      Well, To define a function, we consider the value of y, when we pick a specific RANGE OF VALUES FOR X.
      At CD, value of X is constant, in describing a function, two DIFFERENT points for X are Analysed. Since CD has constant value for X, it won't be considered.
      Thanks.

  • @prospect_fx1
    @prospect_fx1 2 ปีที่แล้ว +1

    Guy you good

  • @superawesomechannel3778
    @superawesomechannel3778 ปีที่แล้ว +1

    hello sir kindly let me know the title and author of this book you are using to teach. waiting for your feedback. thanks

  • @DennisNamugowa
    @DennisNamugowa หลายเดือนก่อน +1

    What about curves

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  หลายเดือนก่อน

      @@DennisNamugowa I don't have a video about that.

  • @derrickerrick3370
    @derrickerrick3370 หลายเดือนก่อน

    I have a concern,,,, I thought Period is ttime to complete one oscillation/cycle,,
    I have concern, so it doesnt matter if they are the same or not?? Minute number 3,,, the qn which says state the Period

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  หลายเดือนก่อน

      @@derrickerrick3370 put a time stamp please. The graph must look similar at regular interval. This interval is the period. Question 3 has a period of 7

  • @KisoroEriclucky
    @KisoroEriclucky 9 หลายเดือนก่อน +1

    Am late but I Wana. Ask
    Y can't we say the period is found up at 3 and we chose down yet evn up they are uniform

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  9 หลายเดือนก่อน +1

      I don't know the question you're asking about, but always start from the origin of the function or any other point that is within the period. Watch the video completely and follow everything carefully.

    • @KisoroEriclucky
      @KisoroEriclucky 9 หลายเดือนก่อน

      @@AVITECHNOLOGIES I do sir I wish you share your no. Koz I hav Alot to ask you and I find you having answers for all

  • @gpasavehumanity2790
    @gpasavehumanity2790 5 วันที่ผ่านมา +1

    Man you rock l was not understanding these things and you explained so well wow lm looking for your email address

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  4 วันที่ผ่านมา

      You're welcome.
      Here's my email address:
      animamvictory5@gmail.com

  • @kaystyles2983
    @kaystyles2983 2 ปีที่แล้ว +1

    In question 4

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  2 ปีที่แล้ว +1

      Specify The Question or Problem you experienced in Question 4.
      What part was not clear?.

  • @adeleyebolaji8366
    @adeleyebolaji8366 ปีที่แล้ว

    You changed the position of the minus sign for the last question, why’s that?

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      I can't seem to understand your question.
      Always add the timestamp to your comment, I can tap on it, and go to the same spot where you're seeking clarifications on.

  • @gibsonngulube7093
    @gibsonngulube7093 6 หลายเดือนก่อน +1

    ❤😮

  • @realkenokay
    @realkenokay ปีที่แล้ว +2

    CORRECT GUY.

  • @PreciousOlamide-h4i
    @PreciousOlamide-h4i หลายเดือนก่อน

    Why is y =0 from 7-9

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  หลายเดือนก่อน

      In what question?
      If the equation of a line is y = 0, then the line is on the x axis.

  • @derrickerrick3370
    @derrickerrick3370 หลายเดือนก่อน

    Why have the formulas changed and you havent explained,,,

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  หลายเดือนก่อน

      @@derrickerrick3370 I think formulas remained the same, maybe simplified.

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  หลายเดือนก่อน

      @@derrickerrick3370 Question 7 needs much more Maths and from Analytic geometry, we had to use the equation of a line. For other questions, the lines were either horizontal, vertical or y = x, which were all easy to compute.

  • @BEINGREAL130
    @BEINGREAL130 ปีที่แล้ว +1

    Video too long make it more shorter

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      You would agree that, I don't talk about things that are not important. I spend time in explaining what I think is necessary. In this particular video, I didn't just solve 1 question. Most times, I solve 5 questions in one video.
      If I spend more time talking about things unrelated, then, I can shorten the video. But almost all the time, I discuss the subject matter.

  • @miracleumah3147
    @miracleumah3147 ปีที่แล้ว +1

    Thank you brother 🫂, you just saved a life.

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  ปีที่แล้ว

      😂😂😂
      You're welcome sir, I'm glad that I could help.

  • @keandak7427
    @keandak7427 11 หลายเดือนก่อน +1

    thank you very much

    • @AVITECHNOLOGIES
      @AVITECHNOLOGIES  10 หลายเดือนก่อน

      You're welcome, Merry Christmas.

  • @KisoroEriclucky
    @KisoroEriclucky 9 หลายเดือนก่อน +1

    Am late but I Wana. Ask
    Y can't we say the period is found up at 3 and we chose down yet evn up they are uniform