Session 8: Examples & different kind of questions one can ask on Fourier series.(see pinned comment)

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  • เผยแพร่เมื่อ 9 ธ.ค. 2024

ความคิดเห็น • 46

  • @DrMathaholic
    @DrMathaholic  4 ปีที่แล้ว +9

    At 13:13 by mistake i wrote that sum of Fourier series at x=0 is (1+1)/2=1. There is a mistake, here left hand limit is -1 and right hand limit 1 so Average will be 0.

    • @amansartaz5864
      @amansartaz5864 2 ปีที่แล้ว +1

      At discontinuity the mid point of the Fourier function at the point of discontinuity is the sum of Fourier series at a discontinuity.

  • @New_thinkers
    @New_thinkers ปีที่แล้ว +3

    Hello sir , i have completed my syllabus from you , this playlist is great , have watched almost all 69 videos. You are a great teacher

    • @DrMathaholic
      @DrMathaholic  ปีที่แล้ว +2

      Good👏👏 all the best for exams
      Thank you 😊

    • @DrMathaholic
      @DrMathaholic  ปีที่แล้ว +2

      Now, also, solve tutorial problems on ur own.. your score will b v.good

  • @vaishnavisabale7094
    @vaishnavisabale7094 4 ปีที่แล้ว +2

    Great video sir

  • @muhammadrayanmansoor4301
    @muhammadrayanmansoor4301 ปีที่แล้ว +2

    Sir please make a playlist on Fourier integrals ❤

    • @DrMathaholic
      @DrMathaholic  ปีที่แล้ว +2

      Ok, noted..hopefully soon 🙂

  • @the.rajkumar.sawant
    @the.rajkumar.sawant 4 ปีที่แล้ว +4

    Great video sir💥💥. Can you take some more problems on half range concept??

    • @DrMathaholic
      @DrMathaholic  4 ปีที่แล้ว +2

      Okay. I will make a video on half range in a day or two.

    • @DrMathaholic
      @DrMathaholic  4 ปีที่แล้ว +4

      Made one video on half range.. hope this will help you.
      Here is the link-
      th-cam.com/video/omo51WEuqkE/w-d-xo.html

    • @the.rajkumar.sawant
      @the.rajkumar.sawant 4 ปีที่แล้ว +1

      @@DrMathaholic thank you sir

  • @THUNDER-kw3wq
    @THUNDER-kw3wq 2 ปีที่แล้ว +2

    Sir at 3:25 LHL is 0 and RHL is 1 at x=0 so avg must be 1/2 right...i mean should we check the values from graph or should we do it using formula?

    • @DrMathaholic
      @DrMathaholic  2 ปีที่แล้ว +3

      Yes you are right..average is 1/2.. thanks for pointing it out..you can approach by whichever way is easier for you

    • @THUNDER-kw3wq
      @THUNDER-kw3wq 2 ปีที่แล้ว +1

      @@DrMathaholic Ohkk..Thank you sir🙏🏻🙌🏻

    • @DrMathaholic
      @DrMathaholic  2 ปีที่แล้ว +2

      @@THUNDER-kw3wq 😊👍

  • @adarsh5997
    @adarsh5997 16 วันที่ผ่านมา +2

    sir this playlist does not have videos for fourier integrals sect 11.7 please help

    • @DrMathaholic
      @DrMathaholic  16 วันที่ผ่านมา +1

      @adarsh5997 yes, I have not recorded Fourier integrals yet..

  • @tomtac820
    @tomtac820 3 ปีที่แล้ว +2

    Sir at 6:00 no need to find bn na as f(x) is even function ?

    • @DrMathaholic
      @DrMathaholic  3 ปีที่แล้ว +2

      See the graph for the function. Is it even?😀 We have defined from 0 to 1 and not -1 to 1.

    • @DrMathaholic
      @DrMathaholic  3 ปีที่แล้ว +2

      see graph which i drew before writing coefficients.

    • @tomtac820
      @tomtac820 3 ปีที่แล้ว +1

      @@DrMathaholic oh yes sir I was focusing on f(x)=f(-x) instead of intervals mentioned

    • @DrMathaholic
      @DrMathaholic  3 ปีที่แล้ว +1

      @@tomtac820 happens 😊

  • @abdurrahmanlabib916
    @abdurrahmanlabib916 2 ปีที่แล้ว +1

    Sir can you make videos on fourier transform thank you

    • @DrMathaholic
      @DrMathaholic  2 ปีที่แล้ว +1

      I have made on fourier series..
      Fourier transforms, hopefully soon :)

  • @sarthakpawar9303
    @sarthakpawar9303 ปีที่แล้ว +1

    sir at 5:39 why is the limit of integration 0 to 1 and not -L to L

    • @DrMathaholic
      @DrMathaholic  ปีที่แล้ว +1

      Here the function is not defined from -1 to 1. It is defined over 0 to 1 and we have to fourier series of given function over 0

    • @sarthakpawar9303
      @sarthakpawar9303 ปีที่แล้ว +1

      @@DrMathaholic thank you sir

    • @DrMathaholic
      @DrMathaholic  ปีที่แล้ว +1

      @@sarthakpawar9303 welcome 😊

  • @THUNDER-kw3wq
    @THUNDER-kw3wq 2 ปีที่แล้ว +1

    Sir will it be mentioned in the ques that we have to solve it by half range expansion?

    • @DrMathaholic
      @DrMathaholic  2 ปีที่แล้ว +2

      Yes...technically they should...
      If not, then other way of asking this is - find cosine series for the given function...
      Or
      Find sine series for the given function..
      Then they will also fall under the category of half range..

    • @THUNDER-kw3wq
      @THUNDER-kw3wq 2 ปีที่แล้ว +1

      @@DrMathaholic ohkk Thank youu very much Sir...tmrw we have our UVC endsem...aapka aashirwaad saath rahe😊🙏🏻also Happy teachers day sir...couldnt wish yesterday😅...UVC aapke wajah se nikalne wala hai🙏🏻Thanks a lottt U r a saviour🙏🏻

    • @DrMathaholic
      @DrMathaholic  2 ปีที่แล้ว +2

      @@THUNDER-kw3wq thank you for your wishes..
      Hahahaha..koi na, acha jaaega..mera aadhirwad hai tum logo k sath😉

    • @THUNDER-kw3wq
      @THUNDER-kw3wq 2 ปีที่แล้ว +1

      @@DrMathaholic 😂😊🙏🏻aced t1 t2 because of ur videos i hope its the same tmrw

    • @DrMathaholic
      @DrMathaholic  2 ปีที่แล้ว +2

      @@THUNDER-kw3wq oh great..Happy to hear that..Kal b Acha jaaega..

  • @darshanwani8247
    @darshanwani8247 4 ปีที่แล้ว +1

    At x=0, in sine series how we get that please explain it.

    • @DrMathaholic
      @DrMathaholic  4 ปีที่แล้ว +1

      At 13:13 by mistake i wrote that sum of Fourier series at x=0 is (1+1)/2=1. There is a mistake, here left hand limit is -1 and right hand limit 1 so Average will be 0.