Linear Approximation - Linearization with Taylor Series

Поділитися
Вставка
  • Опубліковано 13 гру 2024

КОМЕНТАРІ • 69

  • @jean-claudevandal5069
    @jean-claudevandal5069 10 місяців тому +2

    8:56 The stare down and the 'Right' is soooo good. It just made the whole video for me. Other than that 5 years later this video is still extremely helpful and accurate. Thanks a bunch!

  • @coleburnette1597
    @coleburnette1597 3 роки тому +4

    Been looking through videos for hours trying to find something I could wrap my mind around. Thank you for the clear explanation!

  • @famohammed-ali3533
    @famohammed-ali3533 5 років тому +10

    Extremely clear explanation. Good work man and thank you!

  • @soonerbjj
    @soonerbjj 4 роки тому +2

    But a mere non-engineering calc 2 student, but this is the best explanation of the Taylor series approximation that I've seen.

    • @EndlessEngineering
      @EndlessEngineering  4 роки тому

      Thank you Soonerbjj! Glad you found this video useful, let me know if there are any topics you are interested in seeing videos on

  • @TheSlyProductions
    @TheSlyProductions 5 років тому +1

    I liked how you compared the output of the approximation equations to the original equation at various points. That was the moment where it clicked for me.

  • @MrPlayeraa
    @MrPlayeraa 3 роки тому

    Truly a legend for this. Thank you

  • @ubausman8215
    @ubausman8215 5 років тому +3

    Great Video. You have a clean straight way of clarifying the "why". I enjoyed your hydraulic examples. If only class math teachers could be like you! Thank you.

    • @EndlessEngineering
      @EndlessEngineering  5 років тому +1

      Hi Uba, thank you for watching! I am glad you find the information enjoyable and the delivery clear! Please feel free to check out other videos on my channel, and don't hesitate to reach out with topics that you would like to see covered in controls or systems!

    • @ubausman8215
      @ubausman8215 5 років тому +1

      Hi EE. I would surely do so. Thanks.

  • @chandankar5032
    @chandankar5032 5 років тому +1

    Dude ! You are certainly far better than the average ones.
    If you want to continue UA-cam, collaborate with other math youtubers and share your videos in friends. Best of luck !
    Keep going.

  • @eng.maimonahkhader3311
    @eng.maimonahkhader3311 3 роки тому +1

    Thank you
    Very clear explanation, keep going

  • @muslimbekabduganiev7483
    @muslimbekabduganiev7483 4 роки тому +1

    It is sad that there is so little high level math in youtube in a good quality. Refreshed my sophomore year of college in 30 mins. Thanks!

    • @EndlessEngineering
      @EndlessEngineering  4 роки тому

      Thank you for watching Muslimbek. I am glad you liked the content. My goal is to never compromise on the details and be able to explain the topics as clearly as possible!

  • @FINSuojeluskunta
    @FINSuojeluskunta 4 роки тому

    Awesome explanation. It's easy to get so caught up in all of the math and forget what the purpose of it all is.

    • @EndlessEngineering
      @EndlessEngineering  4 роки тому

      Thank you! I am glad you found this video useful. Please let me know if there are other topics you would like to see videos on

  • @abdulgadirhussein2244
    @abdulgadirhussein2244 2 роки тому

    I find it intresting when one learns these Mathematical Operations, some instructors rarely give you context on how to leverage it or why one would even want to do such a thing. Thanks to your video's I'm finding that such an operation is quite useful given the "why". In any case, great video dude, keep it up!

    • @EndlessEngineering
      @EndlessEngineering  2 роки тому

      Thank you for watching! Glad you found it clear and useful. Feel free to share, and think about subscribing to the channel

  • @supunudayantha1856
    @supunudayantha1856 2 роки тому

    Very clear explanation. Much love!❤

    • @EndlessEngineering
      @EndlessEngineering  2 роки тому

      Thank you for watching! Glad you found it clear and useful

  • @thefool733
    @thefool733 5 років тому +2

    great explanation and presentation,
    many thanks!

    • @EndlessEngineering
      @EndlessEngineering  5 років тому

      Thank you! Glad you enjoyed it, let us know if there are any other topics you're interested in and would like to see videos on

  • @griffinwhite9929
    @griffinwhite9929 4 роки тому

    You know you're a solid engineer if you're NASA shirt is inside out ;)
    Great video, thanks for the help!

    • @EndlessEngineering
      @EndlessEngineering  4 роки тому +1

      Thanks for watching! I am glad you found the video helpful! BTW you are the first one to notice the shirt :)

  • @ashutoshgupta7319
    @ashutoshgupta7319 4 роки тому

    Very clear explanation and extremely helpful. Thanks a lot.

    • @EndlessEngineering
      @EndlessEngineering  4 роки тому

      Thank you for watching! I am glad you found the video useful

  • @rubenalejandroelizondosobr3702
    @rubenalejandroelizondosobr3702 5 років тому +1

    very nice video, continue with them

  • @sinamaddah5574
    @sinamaddah5574 2 роки тому

    amazing thank you for the clear explanation

  • @hussain7832
    @hussain7832 4 роки тому +1

    Thank you so much! this helped me understand clearly

  • @haligali4360
    @haligali4360 3 роки тому

    Hi! Thanks a lot! Shouldn't it be 'f' before 'x1+x2' in 4:19 ?

  • @naviderfani
    @naviderfani 4 роки тому +1

    Thank you. It is an amazing explanation.

    • @EndlessEngineering
      @EndlessEngineering  4 роки тому

      Thank you for watching Navid! Please feel free to subscribe. And if you have any topics you would like to see videos on please reach out

  • @tohopfs2656
    @tohopfs2656 2 роки тому

    at 10:25 of the video, how is the linear approximation equation y = y(x0) + 2x0x - 2x0^2 a linear system? I applied it to the superposition principle and found results are not the same.

    • @EndlessEngineering
      @EndlessEngineering  2 роки тому

      y = y(x0) + 2x0x - 2x0^2 is linear because the first term y(x0) is a constant and the last term -2x0^2 is a constant as well. So the only term left as a function of x is the middle term 2x0x. Therefore y is linear in x.

  • @kasraamanat5453
    @kasraamanat5453 2 роки тому

    clear explanation ❤️

  • @smhhoseinee
    @smhhoseinee 3 роки тому +1

    well explained
    tnx

  • @haiderichannel7891
    @haiderichannel7891 Рік тому

    Excellent thank you so much

  • @ahmadal-tarabeen9253
    @ahmadal-tarabeen9253 3 роки тому

    Amazing!

  • @g.eliasoggier5341
    @g.eliasoggier5341 4 роки тому

    Excelente explicación!!

    • @EndlessEngineering
      @EndlessEngineering  4 роки тому

      Thank you! I am glad you found this video clear and useful. Please let me know if there are other topics you would like to see videos on

  • @muhammadyaseen7820
    @muhammadyaseen7820 4 роки тому

    thank you sir...continue..

  • @omololaoluwatoyin5044
    @omololaoluwatoyin5044 Рік тому

    Amazing

  • @uddiptanath6055
    @uddiptanath6055 4 роки тому

    Thank You man!

  • @mohammadferdous1457
    @mohammadferdous1457 6 років тому

    great job

    • @EndlessEngineering
      @EndlessEngineering  6 років тому

      Thank you Mohammad! I am glad you enjoyed the video, thanks for watching!

  • @ITIRKudret
    @ITIRKudret Місяць тому

    How do you reach the final equation 2x0(x-x0)is not equal to 2x0x

  • @ErSiddhartha1990
    @ErSiddhartha1990 4 роки тому

    Google is creepy. Yesterday i was thinking of linearization. UA-cam brings me that video

  • @Riceyyyy
    @Riceyyyy 3 роки тому

    is no one wondering how that board works? he is writing on it, looking at us AND the writing is directed to us

    • @Riceyyyy
      @Riceyyyy 3 роки тому

      are you telling me you're writing mirrored on a glass

    • @ShiroTenshiTN
      @ShiroTenshiTN 3 роки тому +1

      its mirrored, notice his nasa shirt is flipped

    • @Riceyyyy
      @Riceyyyy 3 роки тому

      @@ShiroTenshiTN how can I be this unobservant

    • @robertclarke9341
      @robertclarke9341 3 роки тому

      @@ShiroTenshiTN I thought he was writing backwards stood behind a pane of glass hahahahahaha. good spot

    • @robertclarke9341
      @robertclarke9341 3 роки тому

      wait no it only looks like that coz his shirt is inside out. maybe not :o

  • @kasraamanat5453
    @kasraamanat5453 2 роки тому

    ❤️

  • @joshuahutter6795
    @joshuahutter6795 3 роки тому

    soooo... why dont you mirror your video?