Taylor series | Chapter 11, Essence of calculus

Comments · 4.3K

• CH

  @chastgibson · 5 years ago

  WOW! I'm a calculus teacher.  I have watched hundreds of hours of calculus videos always looking for ways to improve my own methods of explanation.  This is by far the best math video I have ever seen.  I am in awe. It literally gave me goose bumps.

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• GO

  @gobbedy · 8 years ago (edited)

  Omg. This has to be one of the most brilliant math videos I've ever seen. Not just beautifully explained, but with amazing moving graphs, perfect syncing between explanations and animations, perfect rate of explanation, perfect tone. I'm just sitting here in awe. So thankful. SO thankful!!

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• MI

  @michaeladdis3323 · 6 years ago

  My Calc professor called them "tailored polynomials" in the sense that they are tailored to fit a function at a desired point

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• DA

  @davidmichels3089 · 3 years ago

  I am a calc 1 teacher for engineers and you just keep giving me amazing input to improve my lessons. Thank you!

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• BL

  @BlackwaterPark666 · 9 years ago

  Can we have a video where we just watch 3b1b animations of approximating functions with Taylor polynomials? That's so satisfying.

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• JO

  @joeyaintwaffling · 6 years ago (edited)

  Just thinking how mathematicians used to think all these, we need these extraordinary animation to just pick up the superficial part of it, truly they were marvelous.

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• IA

  @iandavidson5158 · 5 years ago

  Finally understanding a new math concept is a spiritual experience.

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• RE

  @rewtru8273 · 2 years ago (edited)

  I studied Taylor polynomial expansion almost 10 years ago. I remember seeing the professor write the factorial at the denominator and wondering "What does the factorial come out of?" and also "Why isn't the reason why it does part of the class?" "Why isn't it explained explicitly on my book?" And finally I see this video. I looked it up it because I was sure you were going to reveal this to me. THANK YOU GRANT

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• BR

  @bruhnling33 · 6 years ago

  Math teacher used this in class today instead of teaching it herself cause this video is THAT good, the teacher put aside her pride in favor of the amazing visuals. This is by far my favorite math channel and I was internally freaking out when she started playing it and I realized it was you. Probably the highlight of that class tbh

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• PA

  @ParadoxPython · 5 years ago (edited)

  Taylor Series are one of the things I just could not grasp in my uni calculus class because of how dry and abstract everything was. I understand abstraction is important, but it helps so, so much to be led towards it from concrete examples rather than being thrown into its cold rapids right away. Thank you so much for closing this gap for me, you are a gift to humanity.

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• ZU

  @zuccx99 · 7 years ago

  "cos(x)=1 is a good approximation too"-some engineer

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• Q7

  @Q75 · 1 year ago

  The moment i recognised 3! &nbsp;at <a href="https://www.youtube.com/watch?v=3d6DsjIBzJ4&amp;t=412">6:52</a>, i gained spiritual enlightenment

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