"Sorry my brain is... I ate too many walnuts" -khan academy tutor
@SP-qi8ur
3 жыл бұрын
That's actually Sal Khan
@KevinVandyTech
8 жыл бұрын
Nice math lesson, but the most important lesson we all learned is to always drink water with your walnuts.
@Quarker
12 жыл бұрын
"I hope this video gave you some intuition on the Taylor Series. If it didn't, please ignore this video" HAHAHAHAHAHAH BEST ENDING EVER
@nocturnalvisionmusic
Жыл бұрын
I was your 100th like! 🥳😁
@lightzebra
13 жыл бұрын
What Sal does at 9:04 is one of the things that make it so easy to learn from him. He clarifies why he is using sin(1) even though it would be obvious to a lot of people. Teachers generally assume that the students know the reasoning behind every single step in their calculations, which isn't always the case. Thanks a lot, Sal.
@chantastlc
8 ай бұрын
9:04
@HappyFaceXD
8 жыл бұрын
Note to self: do not eat walnuts before exams.
@liesalllies
5 жыл бұрын
Reading the comments before watching the video was really confusing hahaha
@Denizen36
11 жыл бұрын
I want all my uni fees to go straight to you because you're teaching me more than any of my lecturer's ever could dream of
@vanessang4216
7 жыл бұрын
go bless you idk why I'm paying so much money for uni when I just end up coming here
@Glendragon
7 жыл бұрын
where do you have to pay for uni? FeelsGoodMan
@helmiazizm
6 жыл бұрын
So you could have a bachelor degree certificate to apply to some shitty job with it, duh
@ziyuchen3112
6 жыл бұрын
Cuz u need a motive for coming here to exhaust ur brain
@meeblings6
5 жыл бұрын
US and Canada for sure
@utsavshakya6891
4 жыл бұрын
@@Glendragon almost everywher except for norway maybe
@rachel22cute
10 жыл бұрын
"My brain had too many walnuts" lololol xD
@shankysays
7 жыл бұрын
i pay you nothing yet you teach me a lot. i spend all my parents saving to my university and i get nothing.
@khanacademy
16 жыл бұрын
Adding more terms makes the approximation of the function better at all points (not just at C). Even with just the first term, P(c)=f(c).
@sardarhedayati3842
9 жыл бұрын
The next time I'm not studying for a calculus exam, I'm going to try and computer formulas eating walnuts. Sal, you're the best!
@andrewtcb1
13 жыл бұрын
in 18 minutes you taught me a whole chapter of my maths book that my lecturer couldn't teach me in a 2 hour lecture. thanks sal!
@Pikminiman
11 жыл бұрын
I seriously can't thank you enough. My math professor's ineptitude is rivaled only by your competence in explaining the same material. I went into that lecture less confused than I was leaving, whereas this video provides a crystal-clear explanation. Who knows? If there were someone like you for every major subject, KZitem could serve as a viable replacement for college. Cheers!
@nightshark1156
Жыл бұрын
o/
@pwownage
3 жыл бұрын
I like your funny words, magic man.
@leerobbo92
11 жыл бұрын
Don't be sorry Sal, you deserve all the walnuts you could ever want for explaining this so well! I wish more people would take the time to explain the reasons behind maths functions, it makes it so much easier to see why and what's happening.
@StupidBadyXD
10 жыл бұрын
this is truly amazing, with limited class time there is no way anyone can understand this shit. Thank you Khan Academy, for all the review.
@khanacademy
16 жыл бұрын
I did the former. Each added term contributes to the approximation and doesn't replace it. So the approximation with 100 terms would be much better than the approximation with 2 terms.
@sandmitches
10 жыл бұрын
2nd video ive seen where hes choking on walnuts
@MonsieurCashow
4 жыл бұрын
Wow. This really helped me better understand the concept. I've watched another popular teacher on youtube, but visualizing it with the help of a software and the way you explained it, really helped me understand it better. Thanks
@AmitLavania
8 жыл бұрын
I can understand the effect of walnuts
@entertainmentera6791
12 жыл бұрын
I had the assigned notes on this for my calculus course, but I couldn't understand. I read it over, and over, and gave a week space in between so I can have a fresh look at the concept of Taylors Polynomial. I heard your site, checked out on how you were teaching the concept... and wow... best 18 minutes of my life spent ACADEMICALLY! Thank you.
@echoofsilence
9 жыл бұрын
To answer a question that's popped up a couple times below: Doing a Taylor expansion for certain functions makes evaluating them around a certain point easier than evaluating the actual function. For example, doing this for sin(x) or tan(x) for SMALL values of x, the later terms of the expansion are so small that you can approximate sin(x) [or tan(x)] to equal x. Cool, right? Here's what I mean: en.wikipedia.org/wiki/Small-angle_approximation
@5hak3itup
10 жыл бұрын
How the fuck do people just come up with this stuff? its amazing
@alexhughes8211
7 жыл бұрын
With walnuts
@asp1346
7 жыл бұрын
Jesus
@johnyapple8447
4 жыл бұрын
This has been incredibly helpful-along with many of your other videos.
@CallMeMantou
12 жыл бұрын
oh my. Khan Academy's videos are something that i never regret watching! Best 18 minutes spent
@yungyb7527
8 жыл бұрын
khan saved my linear algebra and now my calculus too. thanks alot haha
@KebleTar
11 жыл бұрын
This is just fantastic! At my university I was only taught how to use the Taylor Series like it's some magical formula you just have to remember, but don't need to understand. In less than twenty minutes you managed to explain what exactly it is and how it is used. Thanks a lot!
@54huggybear
7 жыл бұрын
Thank you so much man! I didn't understand this concept well during class and this really cleared up Taylor Polynomial's for me!
@lpbug
12 жыл бұрын
this. is. amazing. I completely understand how taylor polynomials work now. Taylor was a genius.
@SequinBrain
2 жыл бұрын
this is amazing since, after seeing so many classes, and knowing that males are visual, only this guy decides to make taylor visual. Thx for putting "visual males" and "math" together.
@valhalla4144
9 жыл бұрын
This was the most beautiful thing I've ever seen in math
@mokopa
3 жыл бұрын
Once you GET the Taylor Polynomials...it really does blow the mind into orbit for a while.
@acmbhs1234
11 жыл бұрын
amazing. i sat through an entire hour of this and learned literally nothing. then i watch this video and i understand perfectly. thank you kind sir
@MRAXELGRINDER
5 жыл бұрын
Really Great lesson! So good! I recommend it to anyone trying to understand Taylor polynomials. Khan academy is amazing
@Presenter-A
4 жыл бұрын
nice work you have changed my attitude to the tailors theorem
@tresusarinok4192
11 жыл бұрын
You have no IDEA how truthful that statement is.
@monke12354
6 жыл бұрын
*Sal does a mistake* "Sorry I uh *stutters* My brain is really... I ate too many walnuts" What a classic line
@mastertreescout
10 жыл бұрын
Holy cow! This makes so much sense now. Thank you.
@c00kiemonsters
15 жыл бұрын
i love you. you are the reason a never ever have to go to math lectures/tutorials :D
@1uk35j
11 жыл бұрын
"my brain is a bit urgh, i ate to many walnuts" Educational AND amusing.. Win! ^.^
@vib2810
7 жыл бұрын
you're amazing!!!!! loved the calculation part at the end
@imegatrone
12 жыл бұрын
I Really Like The Video From Your Approximating a function with a Taylor Polynomial
@mahakjauhri6759
4 жыл бұрын
Amazing love your voice, you tought something which none else taking about .
@JCP598
13 жыл бұрын
Now you just taught me in 18 mins, what my Maths professor wasn´t able to teach me in like 3 lectures of 90 mins each! Thanks!
@KianwithaK
14 жыл бұрын
My exam is in 2 and a half hours and i only just learned taylors method from this video. thanks man.
@brco2003
15 жыл бұрын
I reviewed these videos again, and understand it now. Indeed, even the approximation at n=0, that is, where it's just a straight line or constant, is equal to the function at point c. Making the approximations better by adding more terms gives you better approximations at points "near" c and, with even better approximations with more terms, further away from point c. THANKS SAL!
@eggmachine27
11 жыл бұрын
"sorry i had too many walnuts" LOLLL i died
@pravithandstuff1908
3 жыл бұрын
What’s good bro
@vaanisingh6796
5 жыл бұрын
Sir , i can't express my gratitude to you in words You help me a lot
@SahaquieI3
13 жыл бұрын
this 18 minutes teached me more than the 2 hours i wasted today in the school lyrbrary
@mcpearce
12 жыл бұрын
Thanks, straightened the Taylor polynomial out for me in 20 mins... should have looked this one up sooner :)
@pianodan763
11 жыл бұрын
What I really think is mind-blowing is how you can write so clearly with a mouse. People can't even tell what I'm drawing on Draw My Thing, and I bet if you played that, you'd be drawing the Mona Lisa left and right.
@ny1fanta
13 жыл бұрын
NOW thats the intuition behind the taylor! thx
@PetStuBa
6 жыл бұрын
omg math is so beautiful ... and extremely well explained, thanks a lot !!
@shibanichakraborty7471
7 жыл бұрын
May I ask you one question sir which software do you use to plot the graph ?
@karamwahba1591
5 жыл бұрын
You are blowing dust out of my 👂 , thank you
@duckboy81
13 жыл бұрын
thanks for the video. I like how you apply the equation directly into a graph, thanks
@GaneshKumatole7
9 ай бұрын
Thank you SO MUCH This Got cleared !!
@tresusarinok4192
11 жыл бұрын
Had Numerical Analysis class for the first time at the start of semester today. He made me feel like a complete moron because he sped through Taylor Polynomials in class as if it was the simplest thing in the world to just pick up. This taught me more in 18 minutes than my teacher could in an hour and fifteen. Seriously, why can't more professors be this good?
@S3thMusic
11 жыл бұрын
you save my life consistently
@Ambarenya13
14 жыл бұрын
"I ate too many walnuts..." - Classic! Thanks for the help sal!
@lexinaut
13 жыл бұрын
Nicely stitched video. Taylor taylored a polynomial fabric that overwhelms the imagination. What is the meaning of an "nth derivative," for example? The graphs help you begin to see what's going on! Taylor Polynomials aren't just "sew sew." They are awe-inspiring! May the nth derivative be with you!
@michaelbrohier4075
6 жыл бұрын
Brilliant video - makes it so easy to understand :)
@BoQuan22
13 жыл бұрын
Just wanted to say, I bet the reason everybody is on this video is because their professors make it SO difficult to understand. This makes it look SO easy so thanks again Sal =)
@sereda008
10 жыл бұрын
Aww thank you :) Exam tomorrow... This really helped XD
@seekluv
13 жыл бұрын
do you have any videos explaining the taylor remainder formula from Sal?
@paoloparker8991
8 жыл бұрын
Tank you very much sir, very simple and intuitive explanation
@sanujatharinda6525
4 жыл бұрын
Thank you very much. This was so much helpful.
@RAF0769
13 жыл бұрын
Amazing, had no clue what was going on until this video.
@swimgal978
11 жыл бұрын
This is invaluable, thank you.
@kellylouiseoneill1750
10 жыл бұрын
Love the video, thank you soooo much but there's one thing I don´t understand.. What's the purpose of the approximation when we already have the function?? dont get it... :/
@santiagoarce5672
5 жыл бұрын
In some cases you can use it because it simplifies the problem. Look up how it is used to calculate the period of a pendulum.
@nocturnalvisionmusic
2 жыл бұрын
4:44 - 6:28 Best two minutes of this vid for me :D
@brco2003
16 жыл бұрын
when u add each term, are you adding it to all the other terms or are u just graphing it by itself? that is, was the second approximation p(x) = cos1 - sin1(x-a) or was it p(x)=-sin1(x-a)??? i think ur doing the latter... in which case, wouldn't the, say, 100th derivative be a really small constant times (x-1)^100?
@MrAlexhusa
13 жыл бұрын
Thank you very much! I read the book but could not understand until I watched this video!
@TheComputersnerd
3 жыл бұрын
Remarkable Job!
@samuelfonseca2483
4 жыл бұрын
Came for the Taylor series, stayed for the walnuts
@myonlynick
13 жыл бұрын
8 words: thanks very much for this video. sweet explanation.
@BlingBlingDubuLove
13 жыл бұрын
how do power series differ from the taylor or maclaurin series?
@amompyatona8754
9 жыл бұрын
omw thank you so much. u just gave me hope
@rabiaatik446
6 жыл бұрын
How can I get this graphing calculator ? It could be very helpful for my math extended essay if I can find it for free.
@jbsg01
13 жыл бұрын
You make so much more sense than my Bus Cal 2 prof
@saeedibrahim996
5 жыл бұрын
well done sir
@hukedonfoniks
12 жыл бұрын
thanks a lot, you did a great job of explaining! A+ Video
@watchingstupidshit
14 жыл бұрын
wow thank you so much, my ap exam is in 3 days and i had NO idea how to do series before, just skipped all of the questions.
@someonetoogoodforyou
13 жыл бұрын
Hey Sal! Amazing video. Why did you make the assumption that if the 0th, 1st, 2nd, 3rd, 4th, 5th derivative is = to the function, then it perfectly = the function? I get the intuition behind it, and I can see it work very well on the graph. But surely there must be a proof, right?
@TheRealJackfrog
8 жыл бұрын
How do you like them walnuts?
@FiyaBird
7 жыл бұрын
This is so cool!!! Thank you so much
@kliang5097
8 жыл бұрын
thanks man i needed this
@davidpappaianni1306
3 жыл бұрын
When you are computing the derivatives of cosine, aren't you forgetting to derive the argument ? If I have Cos(x-1)^4 / 4! , you write -sin(x-1)^4...shouldn't it be (4)-sin(x-1)^3?
@MsOrangePen
13 жыл бұрын
My school actually sent an email to everyone to watch your videos to prepare for our finals!
@Ichimaru666Gin
13 жыл бұрын
tanx for the lecture mr. khan, i like your teachin alot.... its helps me more than my boring ass lecturer
@thepakman
14 жыл бұрын
lol ahah me too. random question though cuz its insane we have a math final on the same day with the same stuff... do you happen to go to the university of saskatchewan? that would be kind of insane.
@jorgemercent2995
5 жыл бұрын
definately confused me alright..what on earth do you mean approximate around c?
@abdulmuizzkelani3760
2 жыл бұрын
Thanks for this.
@Schmantsu
12 жыл бұрын
whoa, this is pretty awesome... thank you for this video! :)
@OZZl3
13 жыл бұрын
What about the Lagrange Remainder! I understand all this but I can't make sense of lagrange remainder.. I know it's supposed to give you a better approximation but I don't understand the equation for it! How do you actually use it?
@c4chus
13 жыл бұрын
love your videos!!! thank you very much!!! Knowledge is for humans!!! :D... greetings from mexico
@englishperson6199
3 жыл бұрын
amazing video, even in 2021
@oskarengl8645
Жыл бұрын
thanks for this fun explanation!, a student from the future
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