Intro to Taylor Series: Approximations on Steroids

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  • เผยแพร่เมื่อ 29 ธ.ค. 2024

ความคิดเห็น • 175

  • @ConceptualCalculus
    @ConceptualCalculus 4 ปีที่แล้ว +265

    When I want a high-quality vid with good graphics that emphasizes concepts over mechanics, I check your channel first. You are the math teacher's math teacher.

    • @mrcookies409
      @mrcookies409 3 ปีที่แล้ว +7

      So meta

    • @devooko
      @devooko 6 หลายเดือนก่อน +1

      a meta teacher

  • @justinpeterson7643
    @justinpeterson7643 4 ปีที่แล้ว +133

    Best explanation of Taylor Series I've seen.

    • @Frosty-tr3ow
      @Frosty-tr3ow 4 ปีที่แล้ว +10

      You should also check out 3blue1brown's video on Taylor series

    • @nikobaka5272
      @nikobaka5272 4 ปีที่แล้ว +3

      @@Frosty-tr3ow both are pretty good in there one way

    • @ravijangrax
      @ravijangrax 4 ปีที่แล้ว +2

      @@Frosty-tr3ow "zackstar" has also made a video on this topic and that one is great 🔥

  • @nadirgg5612
    @nadirgg5612 2 ปีที่แล้ว +29

    This is the best explanation of Taylor Series on the internet, because you have explained the core of it rather than directly explaining the steps on how to work with it.

  • @MurshidIslam
    @MurshidIslam 2 ปีที่แล้ว +14

    I hope your students appreciate how lucky they are to have you as their teacher.

  • @mockingbird5919
    @mockingbird5919 3 ปีที่แล้ว +9

    What’s special about your vids, is that you’re not just trying to show us how to solve a question for a math test. You’re educating people from all over the world to truly understand the concept and reasoning between these seemingly abstract topics. Thank you so much!

  • @julianbeatty2909
    @julianbeatty2909 ปีที่แล้ว +6

    This might hands down be the best explanation of Taylor series I've seen in my 10 years of studying math.

  • @ogreeni
    @ogreeni 2 ปีที่แล้ว +12

    This video really made me appreciate Taylor series, as my professor didn't do much besides showing us the general formula. Thank you so much!

  • @randomeggthatworksforthefb7172
    @randomeggthatworksforthefb7172 2 ปีที่แล้ว +2

    Whenever I'm confused about an advanced concept in math, I always come straight to your videos.

  • @MrMarkgyuro
    @MrMarkgyuro 4 ปีที่แล้ว +11

    amazing. study math on my own and with your help i m starting to realise we have no limits..

  • @sumitkumarsahoo7601
    @sumitkumarsahoo7601 3 ปีที่แล้ว +7

    best teacher I have ever seen, I wish if I could give you a great salute, and a big thumbs up

  • @kelumo7981
    @kelumo7981 2 ปีที่แล้ว +4

    Dr Trefor you are a superstar!!I finished my engineering degree a while back,I just happen upon your videos and was captured by your passionate presentation,very good graphics and concise explanations...I'm just going through your videos just for fun and to remind myself of some concepts I had already forgotten

  • @nehalkalita
    @nehalkalita ปีที่แล้ว +1

    So far, the best demonstration of Taylor Series on TH-cam. Thank you sir for the detailed explanation.

  • @uqcajmot
    @uqcajmot 3 ปีที่แล้ว +3

    Was struggling with the idea of a series being ‘centred’ at a certain point, this video made it click, thank you

  • @gardenmenuuu
    @gardenmenuuu 3 ปีที่แล้ว +2

    That 10 second intro was lit..best thing I have seen on any math video ever ..Thanks

  • @Aiantaschr
    @Aiantaschr 2 หลายเดือนก่อน

    I seriously wonder why can't professors at unis and schools be as inspiring as you are? I have been trying to understand taylor series and your video has helped me to start understanding it

  • @kishanvishwakarma3027
    @kishanvishwakarma3027 2 หลายเดือนก่อน +1

    Bro that was the best explanation on the Taylor series on TH-cam 😮🛐💗

  • @Emma-eq8pm
    @Emma-eq8pm ปีที่แล้ว

    Thank you so much! I'm a current Calc 2 student at an engineering school. I tried so hard in class to get this topic, and your video has finally helped me get it! The feeling of relief from getting this is such a great one! Thank you so much for making it make sense! :)

  • @mehularora1813
    @mehularora1813 3 ปีที่แล้ว +2

    This is by far the best explanation I've come across!

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +2

      Glad it was helpful!

  • @fahdsbahi9888
    @fahdsbahi9888 5 ปีที่แล้ว +2

    I am very grateful to the way, how you explain Taylor Approximation. I have seen many videos in different languages but yours is the best

  • @ayooluwakolawole
    @ayooluwakolawole ปีที่แล้ว +3

    I think you are hands down the best maths teacher on youtube

  • @yaboi1525
    @yaboi1525 3 ปีที่แล้ว +1

    Just can't appreciate you enough for putting such great effort and time to produce quality content one after another. You make things seem so easy to understand no matter the complexity. You're one of the best teacher I've ever came across. 🙏

  • @thefunnyegg-fe8lr
    @thefunnyegg-fe8lr 8 หลายเดือนก่อน +1

    I’m not joking, I’m currently watching this video in the middle of my math class about Taylor series because my professor is doing a terrible job of explaining it compared to you. Thank you so much!!! I’m understanding this concept for the first time now.

  • @aliasraonic
    @aliasraonic 3 ปีที่แล้ว +3

    really great video here. it has all the pretty graphics which make sense, but unlike the other pretty graphics videos, it still has a solid explanation. thanks for this, sir

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +2

      Glad you enjoyed it!

  • @amandawhite1701
    @amandawhite1701 ปีที่แล้ว

    Thank you good Sir,
    This is the first time I have really understood Taylor Series this semester, and right on time too seeing as my final is on Monday! Love the clarity and the why, not just the how. You've saved me twice this year!!!

  • @ryanhlavaty3680
    @ryanhlavaty3680 2 ปีที่แล้ว +1

    Thank you! Every resource, be it textbook or video, tells you how to do a Taylor series, but this is the first time I've seen the "why" of a Taylor series.

  • @ivanwong4243
    @ivanwong4243 4 ปีที่แล้ว

    Incredibly clear, with great visuals. I don't even sub to most math channels but you know what, this isn't most math channels :)

  • @Proudmuslimah123
    @Proudmuslimah123 ปีที่แล้ว

    Its 4 years after you made this video and I am here for the first time. Very beneficial, Thank you 🙂

  • @boaozhang7188
    @boaozhang7188 5 ปีที่แล้ว +11

    This video is elegantly made with such a good quality. And it is Easy to understand! I found this very helpful! Thank you for your help and passion!

  • @FabricioRWitt
    @FabricioRWitt 3 ปีที่แล้ว +3

    Very good explanation, Dr. Bazett. Thank you, and salutations from southern Brazil!

  • @alexdotdash7731
    @alexdotdash7731 2 ปีที่แล้ว +6

    What a great video. Very clear explanation, you’re the best!

  • @quanle9133
    @quanle9133 4 ปีที่แล้ว +2

    Man! You are epic , professor. Brief , clear and deep!

  • @DeepRohin
    @DeepRohin 4 หลายเดือนก่อน

    This is amazing!!!
    Prolly the only video on youtube which I could easily understand!!!

  • @onlyonecjb001
    @onlyonecjb001 2 ปีที่แล้ว +1

    Brilliant video Dr TB.

  • @curiash
    @curiash 2 ปีที่แล้ว +1

    It's a must watch video for undergraduates.

  • @richis2fast4u
    @richis2fast4u ปีที่แล้ว

    The last week of calc 2, we were supposed to learn Taylor Series. I was struggling mightily in the class. I made the choice to totally punt that content and focus on the rest of the course material to prep for the final exam. Technically my strategy worked, as I passed the class. But I have carried guilt over never actually learning Taylor Series at all.
    This video at least gave me the basics to now know what I missed. Thanks for that!

  • @tomatrix7525
    @tomatrix7525 3 ปีที่แล้ว

    I really like your video structure. I think the conceptual aspect is more important for starters than pure calculations. Back when I first learnt this we were just given the formula and told that it works.....This was not teaching but just blatant memorisation, which is not really what math is about in essence but rather fundamental understanding imo. Thanks for the great stuff as always on here

  • @learn_Persian_with_bestie
    @learn_Persian_with_bestie 4 ปีที่แล้ว +2

    It was awesome special vectors which change by your explanation and the way you explain about derivatives👌

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว +1

      Thanks a lot 😊

  • @shifagoyal8221
    @shifagoyal8221 3 ปีที่แล้ว +1

    It hits the idea for the derivation of Taylor series.

  • @2NormalHuman
    @2NormalHuman 2 ปีที่แล้ว

    this is the best video about taylor approximation. thank you very much!

  • @sumitkumarsahoo7601
    @sumitkumarsahoo7601 3 ปีที่แล้ว +3

    really really awesome your lectures are making maths more and more interesting for me, thank you a lot, greetings from India

  • @ujjwalyadav6189
    @ujjwalyadav6189 ปีที่แล้ว

    Physics is not just about solving problems by putting the given values in an equation, it is also about the core or kick of the topics ur studying 👍🏼🔥. Btw I was wandering from yesterday to get a proper explanation on Taylor's series and found this 🔥🔥

  • @introversion8705
    @introversion8705 3 ปีที่แล้ว +1

    this is crystal clear explanation.. OMG! you're so amazing and very inspiring! please continue what you are doing! God bless

  • @abdullahe3674
    @abdullahe3674 4 ปีที่แล้ว +2

    that was...
    really really good
    bless you Dr Bazett
    this quality content is underated

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว

      Glad you enjoyed it!

  • @patroyalCH2002
    @patroyalCH2002 6 หลายเดือนก่อน

    Taylor series has to be the math's one of the greatest inventions

  • @a.nelprober4971
    @a.nelprober4971 2 ปีที่แล้ว +2

    The king of kings

  • @quant-prep2843
    @quant-prep2843 3 ปีที่แล้ว +1

    this guy is a god sent

  • @jibranhussain6067
    @jibranhussain6067 ปีที่แล้ว +1

    What a great way of explanation

  • @ahmedwesam7286
    @ahmedwesam7286 3 ปีที่แล้ว +1

    Thank you so much!!
    Your student from Egypt ♥️

  • @rratedmotorcyclerides
    @rratedmotorcyclerides 4 ปีที่แล้ว +2

    I really liked your method of explaining, well worth subscribing

  • @shyamdas6231
    @shyamdas6231 3 ปีที่แล้ว +2

    Thank you ,Sir. I was looking for a video which demonstrated the proof.

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 2 ปีที่แล้ว +3

    Thank you so much sir for this wonderful video🙏🙏🙏...

  • @mehransarmadi9157
    @mehransarmadi9157 2 ปีที่แล้ว

    finally i understand taylor series , thank you so muchhhhhhhhhhhhhhhhhhhhhh
    ❤❤❤

  • @ahaditab6364
    @ahaditab6364 4 ปีที่แล้ว

    Please continue with this teaching .....I am really interested with your teaching

  • @atanumondal9980
    @atanumondal9980 ปีที่แล้ว

    You are that hero professor of my dream ❤

  • @mohammedosmangoronty
    @mohammedosmangoronty 3 ปีที่แล้ว +1

    thanks a lot, this video was very useful for me . although I watched some videos to understand the Taylor expansion, this one was the best

  • @killerstache5321
    @killerstache5321 14 วันที่ผ่านมา

    One thing I’m struggling to understand is how you found C2 to be 1/2 6:35

  • @rogerhoefel8515
    @rogerhoefel8515 4 ปีที่แล้ว +1

    Very clear. Suggestion: I could talk about infinite Taylor Polynomials and more details of approximation errors!

  • @theeccentric7263
    @theeccentric7263 3 ปีที่แล้ว +2

    Gonna have to watch this a couple times. 😅 Although your explanations are very clear and engaging.

  • @q_science
    @q_science ปีที่แล้ว

    Buddy, you are the best explainer 👍

  • @sri279
    @sri279 3 ปีที่แล้ว +1

    Thanks a lot ...maths should be explanation like this...

  • @SF-fb6lv
    @SF-fb6lv 9 วันที่ผ่านมา +1

    That was really good!

  • @brandonwootton5575
    @brandonwootton5575 2 ปีที่แล้ว +2

    this is beautiful, how the hell do you even think to come up with something such as this?

  • @theaimwinsbr9874
    @theaimwinsbr9874 2 ปีที่แล้ว +1

    Great Information!💖

  • @omerhassan5543
    @omerhassan5543 2 ปีที่แล้ว +1

    Thanks a ton Dr Trefor

  • @jancyvijico1432
    @jancyvijico1432 ปีที่แล้ว

    Wonderful explanation. Excellent

  • @bigseekersb
    @bigseekersb 3 ปีที่แล้ว +1

    Sweet graphics. Very helpful.

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      Glad you like them!

  • @isitjeevan
    @isitjeevan 4 ปีที่แล้ว +1

    Really wonderful explanation.Thank you sir

  • @izgit
    @izgit 3 ปีที่แล้ว +1

    You are a life saver... That's all I can say

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      Glad it helped!

  • @JoseFerreira-de7oe
    @JoseFerreira-de7oe 3 ปีที่แล้ว +2

    Now the real question is: Can we take this concept and apply it to multivariable calculus? Oh and btw best explanation I've seen so far

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      Absolutely! There is a multicariable Taylor formula too

    • @JoseFerreira-de7oe
      @JoseFerreira-de7oe 3 ปีที่แล้ว

      @@DrTrefor oh wow really?! Wouldn't that be kind of difficult to wrap our mind around it?

  • @murphp151
    @murphp151 2 ปีที่แล้ว +1

    this is v good.
    Nice work

  • @roaakanaan9459
    @roaakanaan9459 3 ปีที่แล้ว +1

    man you are AMAZING!!

  • @tewodrosgirma3019
    @tewodrosgirma3019 3 ปีที่แล้ว +1

    you are simply amazing.

  • @filiplanger7564
    @filiplanger7564 2 ปีที่แล้ว +1

    best fu***ing explanation I've seen so far....thx for effort ;)

  • @mdelgado436
    @mdelgado436 ปีที่แล้ว

    An excellent video (as usual) by Dr. Bazett. My questions around Taylor Series have always been some form of the following: I either know calculus or don't know calculus. If I know calculus, why do I need an approximation? I know the function and can compute the function and its derivative at any point. If I don't know calculus, how can I calculate the Taylor series which requires knowing first, second and n-derivatives of the function?

  • @ravijangrax
    @ravijangrax 4 ปีที่แล้ว +2

    Thank you ❤️ For Such a great explaination 🙏🏼

  • @urpapi6969
    @urpapi6969 2 หลายเดือนก่อน

    thank you for sharing your knowledge

  • @sweet_oksusuu
    @sweet_oksusuu 3 ปีที่แล้ว +1

    Amazing!!.. certainly helpful

  • @jamesadeniyi1144
    @jamesadeniyi1144 3 ปีที่แล้ว +1

    Dr Trefor Bazett - This video is very much helpful. Thanks so much.
    But I want to ask.
    Is it possible to use Taylor's series model to increase a rate?
    I'm a petroleum engineering student, I don't know if a model can be developed from Taylor's Expansion model for the increase of oil production rate.

  • @ireneolayinka6517
    @ireneolayinka6517 ปีที่แล้ว

    absolute icon.

  • @jagpreetsingh6059
    @jagpreetsingh6059 4 ปีที่แล้ว +1

    Best explanation.

  • @AlleEsor28
    @AlleEsor28 4 ปีที่แล้ว +1

    AMAZING. This helped me so much, THANK YOUUUU

  • @JQuint_
    @JQuint_ 5 ปีที่แล้ว +2

    THIS IS GOLD!

  • @chiomaudoh3154
    @chiomaudoh3154 ปีที่แล้ว

    Lol, u had a whole lot to still say, the video is awesome ✨✨

  • @minorlogic
    @minorlogic ปีที่แล้ว

    Hello. Quick question, can be Taylor Series be represented as "composition" of simpler polynomials? If yes , than better numeric stability and order faster calculation. Thanks.

  • @TheSorple
    @TheSorple หลายเดือนก่อน +3

    calculus (taylor’s version)

  • @hrperformance
    @hrperformance 2 ปีที่แล้ว

    9:28 it states that mod(x)

  • @damadorian
    @damadorian 6 หลายเดือนก่อน

    one great video! thank you very much !

  • @zed8970
    @zed8970 4 ปีที่แล้ว

    awesome video. You deserve more views.

  • @supposexy
    @supposexy 2 ปีที่แล้ว +1

    Just Great!!
    WaoW!

  • @abstrac_mind0336
    @abstrac_mind0336 2 ปีที่แล้ว

    my life is now saved

  • @isaachester8475
    @isaachester8475 3 ปีที่แล้ว

    Why do you add all of the higher orders together? Why not just replace each previous order terms with the higher order term each time?

  • @slomojohnjoshi5990
    @slomojohnjoshi5990 3 ปีที่แล้ว +1

    Thank you so much, sir 🙏🙏🙏

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +1

      Most welcome!

  • @mondsuchtig3533
    @mondsuchtig3533 3 ปีที่แล้ว +1

    Liked for the title!

  • @souravshome8104
    @souravshome8104 3 ปีที่แล้ว +1

    nice explanation

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 2 ปีที่แล้ว +2

    Sir ,is taylor series of multivariable uploaded on your channel??

    • @DrTrefor
      @DrTrefor  2 ปีที่แล้ว +2

      Not yet sorry, but it is a good topic!

  • @kansaandre
    @kansaandre 4 ปีที่แล้ว +1

    Very good video!

    • @DrTrefor
      @DrTrefor  4 ปีที่แล้ว

      Thank you very much!

  • @physicsrmr2949
    @physicsrmr2949 3 ปีที่แล้ว

    Sir,What is the need for derivatives here?how to imagine this,practically in physics

  • @kutraleeshwaranb2595
    @kutraleeshwaranb2595 8 หลายเดือนก่อน +1

    better explanation 👍

  • @shazullahyusufzai5704
    @shazullahyusufzai5704 2 ปีที่แล้ว

    When a=o the graphs pass (0,1) when a>0 where is the location of that point

  • @sebas42etgtyht
    @sebas42etgtyht 2 ปีที่แล้ว

    hello what does on steroids mean, sorry for the question, great video!