Examples of Fourier Series

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  • เผยแพร่เมื่อ 6 ธ.ค. 2024
  • MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
    View the complete course: ocw.mit.edu/RES...
    Instructor: Gilbert Strang
    Even functions use only cosines and odd functions use only sines. The coefficients in the Fourier series come from integrals.
    License: Creative Commons BY-NC-SA
    More information at ocw.mit.edu/terms
    More courses at ocw.mit.edu

ความคิดเห็น • 42

  • @LowLifeGraphicsProgrammer
    @LowLifeGraphicsProgrammer 5 ปีที่แล้ว +32

    The function Dr. Strang picking here is just brilliant, truly a master-level teacher & mathematician.

  • @bennyjaime6232
    @bennyjaime6232 4 ปีที่แล้ว +12

    Truly an amazing professor. I have watched my own professor's lectures, many youtube videos and sample solutions, but this professor is an actual master. Do not let the chalkboard intimidate you, he solved the few questions that I had after hours of cracking my head.

  • @hypatiakovalevskayasklodow9195
    @hypatiakovalevskayasklodow9195 5 ปีที่แล้ว +90

    When he says "thank you" and you're all emotional like "No. Thank *YOU* !"

  • @nicoletaylor1497
    @nicoletaylor1497 6 ปีที่แล้ว +27

    Fun fact: If you open up all of his videos at once he always says "Okay!". The funniest thing ever. I love this professor he is great.

  • @abdshbli7827
    @abdshbli7827 6 ปีที่แล้ว +8

    I love his way to teaching, because he didn't leave questions behaind him

  • @maggielin8664
    @maggielin8664 7 ปีที่แล้ว +26

    Thank you, Prof. Strang. I love you.
    I rely heavily on your MIT open course and the book "Linear Algebra and It's Applications".

  • @CHEESYhairyGASH
    @CHEESYhairyGASH 2 ปีที่แล้ว +1

    Love the geometric approach to integration with the square wave to the repeating ramp function and the computing of the average value.

  • @georgesadler7830
    @georgesadler7830 3 ปีที่แล้ว +1

    Another solid lecture on Fourier Series by the legendary professor Dr. Gilbert Strang.

  • @davidcurco2129
    @davidcurco2129 5 ปีที่แล้ว +3

    Old teacher, old style...superb result.

  • @emiliogomez9766
    @emiliogomez9766 6 ปีที่แล้ว +1

    Thank you. You made it easy to understand what a four series is.

  • @taher1973
    @taher1973 3 ปีที่แล้ว +1

    I do not who can press dislike on Dr. Strang video. I wish I had him as my professor. My life would have changed a lot, Thank you!

  • @MarciaYsabelBastardoHern-kn4ed
    @MarciaYsabelBastardoHern-kn4ed 3 หลายเดือนก่อน

    haces un repaso compactado,, de las series de fourier ya con el estudio de las funciones por su propia simetria bien enriquecido, muchas gracias.

  • @holysong2099
    @holysong2099 4 ปีที่แล้ว +2

    बहुत आभार sir!

  • @isayanmajhi
    @isayanmajhi 4 ปีที่แล้ว +1

    This man is a genius

  • @saurabhkulkarni6327
    @saurabhkulkarni6327 7 ปีที่แล้ว +2

    Thank you sir! You've helped me shred my fear about fourier series and made it so simple to understand.

  • @Amine-gz7gq
    @Amine-gz7gq หลายเดือนก่อน

    Very good video

  • @yuehernkang
    @yuehernkang 7 ปีที่แล้ว +4

    thank you prof !

  • @jananisubash6377
    @jananisubash6377 4 ปีที่แล้ว +2

    Okay! A long duster to match the size of the chalk piece !!!!

  • @PriyanshuKumar-ti9gv
    @PriyanshuKumar-ti9gv 4 ปีที่แล้ว +2

    What can be the reason for slower decay in functions with jump or spike in comparison to that in smoother function?

    • @donmoore7785
      @donmoore7785 3 หลายเดือนก่อน

      Jump functions require stronger (greater amplitude) higher order frequency components in order to create and sustain the jumps.

  • @koltonjones866
    @koltonjones866 6 ปีที่แล้ว

    He is very articulate.

  • @venkataramanas7042
    @venkataramanas7042 4 ปีที่แล้ว

    Lovely class sir

  • @sahilkaushal7199
    @sahilkaushal7199 7 ปีที่แล้ว +2

    thanks a lot,Sir

  • @ModernTolkien143
    @ModernTolkien143 4 ปีที่แล้ว

    At 9:00, don't you need to ADD the constant term a0 = pi/2 (instead of multiplying it with the rest of the series)? In other words, has Gilbert forgotten to add the "plus sign" here?

    • @farainechikwira3592
      @farainechikwira3592 4 ปีที่แล้ว

      He is adding it as he hasn't put any brackets there?

    • @rakhimovv
      @rakhimovv 2 ปีที่แล้ว

      that minus sign is adding

  • @KnutKlonteig
    @KnutKlonteig 8 ปีที่แล้ว +2

    2:00 Correct me if I'm wrong, but I think there's a "1" missing in the integral of sin kx, so that int(sin kx) = 1-cos(kx)/k.

    • @stearin1978
      @stearin1978 7 ปีที่แล้ว +1

      he left the limits, so all calculations after made in the heads:) and your "1" is one step early. sorry.

    • @ziadlucka8189
      @ziadlucka8189 6 ปีที่แล้ว +1

      No! It’s just -cos(kcal)/k.

    • @ralphwang1434
      @ralphwang1434 5 ปีที่แล้ว

      Ziad Lucka actually they’re the same, the difference is a constant addition which makes no difference

  • @geektoys370
    @geektoys370 ปีที่แล้ว +2

    He’s so cute vid bless him

  • @willamyferreira1339
    @willamyferreira1339 8 ปีที่แล้ว +4

    The Fourier série is very hard.

    • @hypatiakovalevskayasklodow9195
      @hypatiakovalevskayasklodow9195 5 ปีที่แล้ว

      Irtiza Hasan you're rude

    • @Amine-gz7gq
      @Amine-gz7gq หลายเดือนก่อน

      I agree but if you understand orthogonality it will be less hard, there's many videos on that subject

  • @jayantpriyadarshi9266
    @jayantpriyadarshi9266 4 ปีที่แล้ว +2

    I would love to touch your feet. You are next to God sir.

  • @mdmominulislam7348
    @mdmominulislam7348 2 ปีที่แล้ว

    Hi

  • @sankalpc9492
    @sankalpc9492 4 ปีที่แล้ว

    👍👍

  • @manolo1130
    @manolo1130 2 ปีที่แล้ว

    .

  • @hanifanmohamad2327
    @hanifanmohamad2327 5 ปีที่แล้ว +2