Linear Approximation - Linearization with Taylor Series

Ғылым және технология

A lot of real world systems are nonlinear in nature, but given a certain operating point or region these systems can be approximated to be linear. This can be done using the Taylor series, and this video shows you a step by step way to show if a system is linear or not and how you can linearize it.
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Пікірлер: 68

  • @jean-claudevandal5069
    @jean-claudevandal50695 ай бұрын

    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!

  • @famohammed-ali3533
    @famohammed-ali35334 жыл бұрын

    Extremely clear explanation. Good work man and thank you!

  • @sinamaddah5574
    @sinamaddah55742 жыл бұрын

    amazing thank you for the clear explanation

  • @coleburnette1597
    @coleburnette15973 жыл бұрын

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

  • @EndlessEngineering

    @EndlessEngineering

    3 жыл бұрын

    Thanks for watching Cole! Glad you found this useful

  • @haiderichannel7891
    @haiderichannel78919 ай бұрын

    Excellent thank you so much

  • @thefool733
    @thefool7335 жыл бұрын

    great explanation and presentation, many thanks!

  • @EndlessEngineering

    @EndlessEngineering

    5 жыл бұрын

    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

  • @TheSlyProductions
    @TheSlyProductions4 жыл бұрын

    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.

  • @EndlessEngineering

    @EndlessEngineering

    4 жыл бұрын

    Awesome! Glad to help

  • @ashutoshgupta7319
    @ashutoshgupta73193 жыл бұрын

    Very clear explanation and extremely helpful. Thanks a lot.

  • @EndlessEngineering

    @EndlessEngineering

    3 жыл бұрын

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

  • @supunudayantha1856
    @supunudayantha18562 жыл бұрын

    Very clear explanation. Much love!❤

  • @EndlessEngineering

    @EndlessEngineering

    2 жыл бұрын

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

  • @hussain7832
    @hussain78324 жыл бұрын

    Thank you so much! this helped me understand clearly

  • @EndlessEngineering

    @EndlessEngineering

    4 жыл бұрын

    Thank you for watching!

  • @soonerbjj
    @soonerbjj3 жыл бұрын

    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

    3 жыл бұрын

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

  • @MrPlayeraa
    @MrPlayeraa2 жыл бұрын

    Truly a legend for this. Thank you

  • @EndlessEngineering

    @EndlessEngineering

    2 жыл бұрын

    Thank you for watching! Glad you found the video useful

  • @eng.maimonahkhader3311
    @eng.maimonahkhader33113 жыл бұрын

    Thank you Very clear explanation, keep going

  • @EndlessEngineering

    @EndlessEngineering

    3 жыл бұрын

    Thank you for watching! I am glad you found it useful

  • @kasraamanat5453
    @kasraamanat54532 жыл бұрын

    clear explanation ❤️

  • @naviderfani
    @naviderfani4 жыл бұрын

    Thank you. It is an amazing explanation.

  • @EndlessEngineering

    @EndlessEngineering

    4 жыл бұрын

    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

  • @omololaoluwatoyin5044
    @omololaoluwatoyin50447 ай бұрын

    Amazing

  • @abdulgadirhussein2244
    @abdulgadirhussein22442 жыл бұрын

    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 жыл бұрын

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

  • @rubenalejandroelizondosobr3702
    @rubenalejandroelizondosobr37025 жыл бұрын

    very nice video, continue with them

  • @EndlessEngineering

    @EndlessEngineering

    5 жыл бұрын

    Thank you! Glad you enjoy the videos!

  • @chandankar5032
    @chandankar50325 жыл бұрын

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

  • @EndlessEngineering

    @EndlessEngineering

    5 жыл бұрын

    Thank you! I am glad you enjoyed the video.

  • @FINSuojeluskunta
    @FINSuojeluskunta3 жыл бұрын

    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

    3 жыл бұрын

    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

  • @ubausman8215
    @ubausman82155 жыл бұрын

    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 жыл бұрын

    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 жыл бұрын

    Hi EE. I would surely do so. Thanks.

  • @ahmadal-tarabeen9253
    @ahmadal-tarabeen92532 жыл бұрын

    Amazing!

  • @EndlessEngineering

    @EndlessEngineering

    2 жыл бұрын

    Thank you for watching! Glad you found the video useful

  • @uddiptanath6055
    @uddiptanath60553 жыл бұрын

    Thank You man!

  • @EndlessEngineering

    @EndlessEngineering

    3 жыл бұрын

    You are welcome! Glad you liked the video

  • @g.eliasoggier5341
    @g.eliasoggier53413 жыл бұрын

    Excelente explicación!!

  • @EndlessEngineering

    @EndlessEngineering

    3 жыл бұрын

    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

  • @muslimbekabduganiev7483
    @muslimbekabduganiev74834 жыл бұрын

    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 жыл бұрын

    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!

  • @griffinwhite9929
    @griffinwhite99293 жыл бұрын

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

  • @EndlessEngineering

    @EndlessEngineering

    3 жыл бұрын

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

  • @muhammadyaseen7820
    @muhammadyaseen78204 жыл бұрын

    thank you sir...continue..

  • @EndlessEngineering

    @EndlessEngineering

    4 жыл бұрын

    Thank you for watching, glad you enjoyed it

  • @mohammadferdous1457
    @mohammadferdous14575 жыл бұрын

    great job

  • @EndlessEngineering

    @EndlessEngineering

    5 жыл бұрын

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

  • @smhhoseinee
    @smhhoseinee2 жыл бұрын

    well explained tnx

  • @EndlessEngineering

    @EndlessEngineering

    2 жыл бұрын

    Thank you for watching!

  • @haligali4360
    @haligali43602 жыл бұрын

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

  • @tohopfs2656
    @tohopfs26562 жыл бұрын

    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 жыл бұрын

    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
    @kasraamanat54532 жыл бұрын

    ❤️

  • @ErSiddhartha1990
    @ErSiddhartha19903 жыл бұрын

    Google is creepy. Yesterday i was thinking of linearization. KZread brings me that video

  • @Riceyyyy
    @Riceyyyy2 жыл бұрын

    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

    2 жыл бұрын

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

  • @ShiroTenshiTN

    @ShiroTenshiTN

    2 жыл бұрын

    its mirrored, notice his nasa shirt is flipped

  • @Riceyyyy

    @Riceyyyy

    2 жыл бұрын

    @@ShiroTenshiTN how can I be this unobservant

  • @robertclarke9341

    @robertclarke9341

    2 жыл бұрын

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

  • @robertclarke9341

    @robertclarke9341

    2 жыл бұрын

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

  • @joshuahutter6795
    @joshuahutter67953 жыл бұрын

    soooo... why dont you mirror your video?

  • @haiderichannel7891

    @haiderichannel7891

    3 ай бұрын

    He flipped his video

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