Fourier series: Odd + even functions

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  • čas přidán 9. 10. 2011
  • Free ebook tinyurl.com/EngMathYT
    How to compute Fourier series of odd and even functions. Several examples are discussed to highlight the ideas.

Komentáře • 120

  • @pichulin84
    @pichulin84 Před 9 lety +48

    Learned more in two days than in two years. That feeling when you find someone who can actually explain and just not read. Thank you Dr. Chris Tisdell

    • @HumphreyBriggs
      @HumphreyBriggs Před 9 lety +12

      Can't second that comment enough, makes you wonder why you're paying £9000 a year when you can find higher quality teaching on CZcams.
      Fantastic lesson

    • @ayaanemerson2533
      @ayaanemerson2533 Před 3 lety

      Not sure if anyone gives a shit but if you are bored like me atm then you can watch all the latest movies on InstaFlixxer. I've been binge watching with my gf for the last couple of weeks =)

    • @lucianomemphis4933
      @lucianomemphis4933 Před 3 lety

      @Ayaan Emerson definitely, I've been using InstaFlixxer for since november myself :D

  • @MtsManicTSling
    @MtsManicTSling Před 8 lety +21

    You are the messiah for fourier series. Thank you, good sir

  • @khan_msj5680
    @khan_msj5680 Před 6 lety

    That was the most comprehensive and the most simplest fourier series explanation, not just reading I have to add this, explanation. Thank you sir, God bless you.

  • @bibeksingh7773
    @bibeksingh7773 Před 7 lety

    I never thought Fourier Series was this easy and so practical the way u teach is awesome everything sounds crystal clear to me on this topic u seriously are a genius.

  • @mjballa123
    @mjballa123 Před 12 lety +3

    Thank you for this. You are very thorough and this has helped me out tremendously. Students are lucky to have you as their professor! I wish mine taught like this.

  • @drcommondrate12
    @drcommondrate12 Před 4 lety

    This is the best Fourier series video in CZcams. Thank you for your tip that bsubn of any even f(x) is 0.

  • @vector8310
    @vector8310 Před rokem

    I love how your cover the nitty gritty. No hand waving in the house of Tisdell.

  • @nopenope8369
    @nopenope8369 Před 3 lety +1

    9 years ago wow, knowledge is really timeless.....guess youtube is a time machine after all

  • @F0ruStarCraft
    @F0ruStarCraft Před 7 lety +1

    Thank you very much! This is exactly the kind of questions my professor will ask and you just taught me how to solve them so easily !
    I just couldn't figure out where the (2k-1) or (2k) would come from... it's all so easy when you understand it haha
    Once more, thank you very much sir !

  • @Globeslayer1
    @Globeslayer1 Před 7 lety +2

    I pretty much never leave comments however I found this video so helpful I feel it warrants one. Awesome video, thanks.

    • @DrChrisTisdell
      @DrChrisTisdell  Před 7 lety

      Thanks! I hardly every leave comments, too, so I understand the significance of you giving some feedback.

  • @lasevillana5376
    @lasevillana5376 Před 3 lety

    Great explanations Dr. Chris. Thank you and greeting from Mexico.

  • @DrChrisTisdell
    @DrChrisTisdell  Před 12 lety +3

    I am glad you understand. There are more examples in my free ebook - the link is in the description.

  • @ryanhilfrown
    @ryanhilfrown Před 12 lety

    i have an habit of studying everything just a day before the exams.and on day before my maths examination i found out i had lost my notes.my friends live far off.so there was no option but to search it on the internet.fortunately i found your videos and even i was surprised to find out that i could do most of the questions.the results are not out yet but i will definately get good grades..thx a lot sir.i wish i could replace my maths professor with you

  • @mustafanaser9789
    @mustafanaser9789 Před 3 lety

    Very good explanation + I have noticed that you have even a playlist about Fouries Series and other math topics. Thx from Germany!!

  • @williamdmichael7283
    @williamdmichael7283 Před 4 lety

    Thank you Dr Chris that's really helpful.

  • @aamirbangash985
    @aamirbangash985 Před 4 lety

    You have made it so easy! Big thanks ❤️

  • @valor36az
    @valor36az Před 3 lety

    Still the best example after 9 years

  • @davidgameliagbeko6958
    @davidgameliagbeko6958 Před 5 lety +1

    Dr. Chris you are just amazing. I have tried understanding this topic on my own but I was unsuccessful. Your explanations and the ebook has made me grasp the concept here. Thanks so much and God richly bless you and grant you more success.

  • @DrChrisTisdell
    @DrChrisTisdell  Před 11 lety

    Hi - the ideas are not restricted to only even functions. It works for general Fourier series.

  • @TheChrisgrk
    @TheChrisgrk Před 11 lety

    you are so good at teaching this, its like you are teaching multiplication to a 3rd year math science student thats how clear and how well you explain it, thank you very very much for these videos! May i ask - what university do you lecture at? i am just curious

  • @cowgate
    @cowgate Před 4 lety +1

    This gave me cold sweats, but I understand it a bit better now. Thank you so much 😎

  • @simphiwedumakude9888
    @simphiwedumakude9888 Před 7 lety

    i like they way you emphasise is good you even tell where a student may possible make mistake..thanks

  • @mmgedi
    @mmgedi Před 8 lety +1

    Dr Chris Tisdell you are wonderful gifted professor who made a difficult course easy. Your students are luckier then me and many others who are wondering of youtube to find help.

    • @DrChrisTisdell
      @DrChrisTisdell  Před 7 lety

      Thank you. Hope that these videos have helped.

    • @mmgedi
      @mmgedi Před 7 lety

      It really did. I made through the course with your videos. I believe without your videos I would have not been able to pass this class. Therefore, I can not appreciate you enough. Thank you a ton.

  • @mohammadmarmaya9995
    @mohammadmarmaya9995 Před 6 lety

    You just my semester sir. Thank you

  • @khan_msj5680
    @khan_msj5680 Před 6 lety +1

    Who are these 16 people who disliked the lecture they should leave the world.

  • @DrChrisTisdell
    @DrChrisTisdell  Před 12 lety

    @xXxBoScOxXx It depends on exactly what the questions asks for. If you are asked for the "fourth partial sum" then you would sub in n=1,2,3,4 and write everything as a sum. If you are asked only for the first 4 terms, then you would do the above but write the terms like a sequence with commas between them. This is my opinion, so you'd better check with your Prof also.

  • @snowsk8life
    @snowsk8life Před 11 lety

    thank you very much ! one question for the part 2 of the problem (proving the value to which the sum converges), we should always work with even functions right ? since A0 isnt cero, or could we have proved it just as well with the fourier series that we obtained for odd function too? Thanks !

  • @sd0995
    @sd0995 Před 11 lety

    you are awesomee !! Wish you were my proffessor at my university

  • @erickmutisya1255
    @erickmutisya1255 Před 2 lety

    Perfect Dr Chris

  • @kensonmalupande2424
    @kensonmalupande2424 Před 11 měsíci

    Excellently explained

  • @wagabazajames5917
    @wagabazajames5917 Před rokem

    This is great thanks mister I have learned a lot

  • @DrChrisTisdell
    @DrChrisTisdell  Před 11 lety +3

    Good luck with your exams, Jane (soon, yes?). Monash will have to wait, but you can always visit my classes on YT.

  • @mgherter
    @mgherter Před 3 lety

    Awesome video. Thanks so much.

  • @andrea-demicheli
    @andrea-demicheli Před 12 lety

    Love math and your accent!

  • @DrChrisTisdell
    @DrChrisTisdell  Před 11 lety

    Hi - could you please point to the specific time in the video regarding your question?

  • @midohijazi
    @midohijazi Před 11 lety

    GREAT DOCTOR !

  • @Lynhehaho
    @Lynhehaho Před 4 lety

    you just saved my life

  • @DrChrisTisdell
    @DrChrisTisdell  Před 11 lety +1

    My pleasure.

  • @vijiskitchen4356
    @vijiskitchen4356 Před 5 lety +1

    Wow nice sir.i can understand now.thnku sir.

  • @joramkiprono9148
    @joramkiprono9148 Před 8 lety +2

    Wonderful Dr. Tisdell. Come to Kenya.

  • @aqber
    @aqber Před 12 lety

    f(x)=x+pi, -pi

  • @daohung1112
    @daohung1112 Před 6 lety

    where do you work? I see every thing about maths in your brain. Thank you very much, my teacher

  • @joepedoy4053
    @joepedoy4053 Před 10 lety

    thank you very much!!! helped me a lot.

  • @kanchikaruna8860
    @kanchikaruna8860 Před 11 lety

    Great work. Thanks

  • @DrChrisTisdell
    @DrChrisTisdell  Před 11 lety +1

    Thank you.

  • @delphinesteves1980
    @delphinesteves1980 Před 3 lety

    I have an exam tomorrow so thank you so much

  • @faithwangui7200
    @faithwangui7200 Před 7 měsíci

    Thank you soooo much. Odds and evens, absorbed.

  • @DrChrisTisdell
    @DrChrisTisdell  Před 12 lety

    @aqber OK, you got it now!

  • @saadjaved6072
    @saadjaved6072 Před 7 lety

    Welldone welldone Welldone Welldone Welldone..............you are great sir........

  • @BruceBmk
    @BruceBmk Před 6 lety

    Thank you for this video..

  • @DrChrisTisdell
    @DrChrisTisdell  Před 11 lety

    Thanks, so much. UNSW, Sydney.

  • @squishin554
    @squishin554 Před 11 lety

    hey, you might not read this in time but;
    i have what i would describe as an even function but shifted 10deg. im thinking of just substituting in x=t-10 or something to use the even simplifications. would this be an issue for later questions where i need to use the series to find the rms and THD using the first 5 harmonics. cheers

  • @hazimalkurishy9012
    @hazimalkurishy9012 Před 8 lety +1

    thanks make me happy to know this .... crazy .....thanks Dr.

  • @DrChrisTisdell
    @DrChrisTisdell  Před 12 lety

    @aqber Neither of the functions you list are odd. Can you see why?

  • @MooMooArmyFantasyMoodz
    @MooMooArmyFantasyMoodz Před 12 lety

    Hero! I was so lost, i didn't understand my lecturer at all but this is gold man :') thanks
    O can i just ask that if the questions asks for the first, say, 4 terms i just sub in n=1, n=2... and work out what the expression becomes?

  • @DrChrisTisdell
    @DrChrisTisdell  Před 11 lety

    You are welcome.

  • @aaaaaa7181
    @aaaaaa7181 Před 7 lety

    very helpful , thanks

  • @akhmadjonovakromjon3669

    THANK YOU VERY MUCH!!!!!!!!! MUCH RESPECT!

  • @DeutschDreams
    @DeutschDreams Před 7 lety

    the last step is that, the odd extension function (fo(x)) does not satisfy the Fourier theorem. How do i conclude that?

  • @ramachandranp682
    @ramachandranp682 Před 6 lety

    great teacher

  • @aqber
    @aqber Před 12 lety

    @DrChrisTisdell Since f(x) = x, is an odd function i assume f(x)= x+2 to be odd too. Is it conceptually wrong?

  • @ahammed-shakil
    @ahammed-shakil Před 7 lety +2

    Thank you so much sir...........

  • @daohung1112
    @daohung1112 Před 6 lety

    what kind of book did you use? thanks

  • @jigneshsanghani223
    @jigneshsanghani223 Před 8 lety +6

    i wish you are my clg professor

  • @aafre
    @aafre Před 11 lety

    Great vid! :D Thanks a ton :)

  • @DrChrisTisdell
    @DrChrisTisdell  Před 11 lety

    Thanks.

  • @kaushalkakadia2558
    @kaushalkakadia2558 Před 9 lety

    thanks sir....very nice lecture & help me in make for presentation.....

  • @is-ig4zh
    @is-ig4zh Před 9 lety

    good explaination

  • @beniefooli677
    @beniefooli677 Před 2 lety

    You're the best

  • @antiquarian1773
    @antiquarian1773 Před 2 lety

    X times cos is an odd function. For a(n) should the integral be 0? Around 22 minute mark

  • @bugsbunny278
    @bugsbunny278 Před 6 lety

    In the second last step, where did Cos 0 disappear?

  • @dtm876
    @dtm876 Před 11 lety

    why is x=0? it seems lucky that you chose that x=0 and it worked out. How do I know what value of x to use in a different question?
    Besides that, THANK YOU VERY MUCH!!!

  • @maltura
    @maltura Před 12 lety

    it easy if you releate odd to -1 and even to 1 (or just a negative and a positive number ) so odd*odd=(-1*-1)=even(positive) , odd*even=odd .. etc

    • @stephenasare5787
      @stephenasare5787 Před 3 lety

      Thanks Dr. now I just can’t believe this questions is going to be mcqs and there won’t be just one of them.

  • @niazgulhazarboz9043
    @niazgulhazarboz9043 Před 5 lety

    41:06 Dr, why X can be equal to +1 but not equal to -1 ?

  • @shifaroohi7373
    @shifaroohi7373 Před 11 lety

    loved it

  • @sivakumar-wh5nc
    @sivakumar-wh5nc Před 9 lety

    thankyou very much

  • @aqber
    @aqber Před 12 lety

    Yup, i realized both the function didn't satisfy f(-x) = -f(x). So both of them are not odd?

  • @niamnisbatul381
    @niamnisbatul381 Před 11 lety

    helpful thanks
    how about to solve differential second order in simply way? i dont understand much in it.
    thank you :)

  • @RawanLaz
    @RawanLaz Před 9 lety

    thank u so much :)

  • @vinothkumar456
    @vinothkumar456 Před 10 lety

    plz upload lecture about dirichlet's condition

  • @iLaaaaZoR
    @iLaaaaZoR Před 7 lety

    @47:45 why dont we consider both even and odd 'n'?

  • @raizerdeath
    @raizerdeath Před 7 lety

    Isn't this function discontinues since there's no value for x=0?, f(o)=?

  • @khushikhan6734
    @khushikhan6734 Před 7 lety

    sir how to find the L in fuction whe he does'n gave in question..

  • @fayeezullah9628
    @fayeezullah9628 Před 6 lety

    what happens to a0 when its an odd function?

  • @WasimSirsTutorialsthane

    may god bless you

  • @123zxc123
    @123zxc123 Před 12 lety

    its easier if you just relate this part to the gate Xnor. let Odd = 0 , Even = 1.
    There you have it. :)

  • @faridsuhaimi692
    @faridsuhaimi692 Před 4 lety

    sorry... can i get a new link, the old one is dead

  • @WasimSirsTutorialsthane

    thanks man

  • @azer1838
    @azer1838 Před 7 lety

    How I Calculate Fourier Function from a Curve ?????

  • @kommerapurnamanikantaifqgm6282

    Is ao value is 1/2L OR 1/L

    • @raviolibrothersproductions82
      @raviolibrothersproductions82 Před 4 lety

      I have the same question! Some textbooks say it's 1/L and then others say it's 1/2L. If you see this @Dr Chris Tisdell please help to clarify.
      Many thanks in advance.

  • @idowurufus9965
    @idowurufus9965 Před 2 měsíci

    Thanks

  • @elevatorgirl100
    @elevatorgirl100 Před 11 lety

    please come teach at monash!!

  • @chandraprabhachandu6110

    Pls upload series' and sequence

  • @CaroBell101
    @CaroBell101 Před 11 lety

    THANK YOUUUUUUU

  • @nihedrayane3683
    @nihedrayane3683 Před 7 lety

    thank youuuuuuuuu

  • @aqber
    @aqber Před 12 lety

    @DrChrisTisdell Thanks for ur immediate replies. Ur videos are great, i think if i had watched it properly i wouldn't have posted the questions. Thanks a lot....

  • @90kdd
    @90kdd Před 11 lety

    Good vedio

  • @londelakea8630
    @londelakea8630 Před 8 lety +1

    i wish you could be in my universty should be okey

  • @guojike77
    @guojike77 Před 7 lety

    thank you for saving my ass doctor

  • @sivakumar-wh5nc
    @sivakumar-wh5nc Před 9 lety

    pleasw tell about fouriar serias functions having ponts of discuntinuty