Taylor and Maclaurin Series

Let's wrap up our survey of calculus! We have one more type of series to learn, Taylor series, and special case of those called Maclaurin series. This utilizes differentiation, and you'll see some familiar polynomials in this one!
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[@edbuckser123]

most math channels on youtube spend like 25 minutes rambling before they get to the actual point, this dude always keeps it concise and straightforward and it boggles my mind how much easier it for me to learn with his vids than anyone else's. cheers mate

[@adflicto1]

I started from lesson 1 and finished now. I couldn't even solve the simplest algebraic equation and even had trouble doing some arithmetic. Now I can even do calculus. I am planning to study physics so I decided to go through the math playlist first, and then the physics playlist. Thank you so much Dave, you are a really awesome person. :)

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yes and it feels like completing other side quest and then go fight the boss

[@hamidalrawi2204]

cant thank you enough for this video. I went to khan academy, and 3blue1brown and didn't understand a thing, finally, before I gave up on it, I came to your video and understood everything. You made it way easier and simple to understand. You are a very talented man !! thank you. !!!

[@michaeldufton2298]

Hamid Alrawi I did the same and agree completely

[@indiagujarati6432]

The 3blue1brown video is aimed at people who already have some prior knowledge about Taylor series.

[@yash3295]

3blue1brown was teaching philosophy not mathematics

[@ayushdugar1698]

3blue1brown is for people that have already some prior knowledge on the topic or have slightly above average intuition skills, clearly you aren't one of them.

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@@ayushdugar1698 whom are you intending?

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deeppatel9623 Fortunately, it seems like he's going strong as ever now! These knowledge gains can be. 👌🏾

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I have my final exam in about three hours, the air and water show is in town and there are F-16 fighter jets with full throttle roaring overhead, my neighbor is blasting loud music so I can barely hear anything, and yet your video somehow managed to help me understand this concept while all that was going on. I love you, Dave.

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nah the dick eating is crazy

[@Deleted__]

Your layout is soooo clean. So simple and straight to the point. Thanks so much

[@noone12323]

I watched this video 2 years ago and untill watching this video now, I was unable to understand this simple concept (maybe my overthinking was making it difficult for me to understand this) but now, that I am watching this one day before exam, I don't know why but this just feels like a piece of cake. Your teaching style is excellent and I don't know, the pressure of exams really makes me go on flow state then i guess...

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Coincidentally, I just thought about this series this evening. And now open youtube with your video. Thank you so much.

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It's not coincidence, it's called surveillance

[@Sandeeppappugodsgrace]

I don't find any words in telling u how clear and simple u make the videos .. lots of respect and love to u !!

[@HeySorz]

Professor Dave, this was amazingly helpful! Thanks so much!

[@michaeldufton2298]

I’ve watched a lot of videos from other sites struggling to get an intuitive understanding of the Taylor series. After watching this, I’m finally getting it, and finding Dave’s other videos just as great.Really helpful, thanks so much!

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I think man you are god gifted teacher. The world needs your lectures, keep it up bro!

[@benjifriedland1016]

This is excellent! Simple and concise explanation to a tricky concept

[@muhammadyazeedtaseeu8539]

ohh professor dave you are naturally ahead.... this video makes me clear understand about taylor's and maclaurin series

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Been watching you as my guide for my class discussion. Great job Prof. Dave. GBU

[@deus1655]

Thanks man. Only video that explains this topic clearly.

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Professor Dave you really save my life!

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Great work professor,you helped me understand Thank you

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I'm sending this to my whole class, I just found a new knowledge Bank, thanks professor 🙏🏿

[@colorx6030]

Oh Dang, this was the last topic of the series? That's bittersweet. I'm happy that I have finished this Calculus playlist but I'm sad that I would need to find other channels now for even more advanced Math. But hey, it was still a fun ride. I'm glad and happy that I was able to finish this playlist.

[@Samurai9901]

This video has given me some hope to not give up just yet.

[@audendavis9422]

Great Video! It really helped me understand the rationale behind the Taylor and Maclaurin series. I really appreciate the content.

[@mindpower519]

Really helped out. Thank you so much

[@minxxdia1132]

this is so intuitive! thanks a lot

[@Rishabh_Joshi_]

Helped me understand it precisely. Thanks 😘😊☺️

[@BloxxingDinosaurus]

Searching for this topic in the German KZbin Math space didn't do me much, I found the explanations of the Taylorreihe too confusing. So I decided to search for the Taylor Series in English, and thankfully, Professor Dave covered it, and I can finally understand the concept now.

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Truly a legend, thank you lots ❤

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I've done well in studying Calculus so far, but I find this topic quite challenging. Thankfully, it is finally starting to make sense to me, due to Professor Dave's more streamlined approach. Too many instructors think you must know the entire history of China before they can show you how to make a cup of tea.

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Very beautiful. Thank you.

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I love this video. Very clear. Nice job. 👍👍

[@HumphreyChansa]

Thanks a lot professor you’re literally the only reason I understood this topic

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You explain very clearly!

[@dudemanbro9500]

Thank you so much, this video was a lifesaver!

[@bhaibrothers8193]

At first thanks to you. I did understood this topic before i saw your video.. Now this topic is very clear as like as water. Thnaks again sir..

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Thank you for this

[@anotherone2398]

A full 2h Course down to Just 9 Mins , a tip of the hat to you , thank you

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Well explained sir.Thankyou

[@siddharthpandey8516]

amazing! finally understood this

[@josephsong5011]

really helpful, thanks

[@ahsenyazcoglu3898]

This taught me the logic!! Thank you so much

[@onlyphysics143]

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Super helpful video!

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Lot's of love man. You are the bomb! When I was watching your video, I couldn't help nodding. I was just like "mmmm Math makes sense after all".

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Thank-you pro it's very helpful

[@gaaraofddarkness]

So clearly explained. Please also cover Laurent series. I have the bell icon on

[@sathvikmalgikar2842]

finally understood thank you so much

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Thanx Prof. Dave! 😊

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what the hell is going on, fml

[@LL-cz5ql]

wow, a month later i finally get this

[@SamSawClay]

OMG this video explain the whole thing incredible clear🎉

[@saravanakumar2612]

Thank you sir

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OMG this is so much helpful

[@nancygu3539]

i have a test in the next 70 minutes, thanks for this so much!!!!

[@jeffersonbancaeren]

Great video Prof. Dave I've learned a lot , but there's something you forget with the Checking Comprehension (number 2 problem) There's no , P_0(x)= f(1)=2 🌺💗

[@ilyassalmon9513]

Thanks so much!

[@AkshatJha]

Great video, thanks, wanted to point out at 6:01, it should be a=0 and not x=0 for Maclaurin series.

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Where do I donate? You've made a significant difference on my understanding of calculus and physics. Keep pushing out videos please!

[@ProfessorDaveExplains]

Glad to be of service! You can go to www.patreon.com/professordaveexplains or feel free to send any amount you wish to the PayPal account associated with [e-mail] thanks for your support!

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Thank you

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[@gaminisiriwardana5946]

excellent way of explaining. I got amazed with your explanation and did lot of calculus sums. Sir I will be sending very special 4 questions through email to you. Please be kind enough to reply. Interestingly waiting for your explanation . Thanks

[@kentkeatha9250]

thx prof dave

[@MrRandel100]

Brilliant explanation, but also how do we call "a" in this topic, when we say function is centered at a=1?

[@luminousvalentine8011]

Basically it's f(a) and as it says centered at 1 so f(1) so like it says nth derivative of f(a) so first you find the derivatives then plug in the value

[@interceptassistgoal9744]

We were taught this in College on this Thursday 😃

[@abhiramrajeevan]

Mine today

[@keinsentyt2775]

concise video❤

[@arturaskarbocius828]

Derivative to e^x is e^x yes this fact we know from Maclaurin series, but we want derive e^x by using Maclaurin series we get infinite loop logic.

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i think i love you professor dave

[@natty1]

i like how everyone is saying you make this simple and easier to understand yet im still extremely lost

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[@taououdg1001]

Very good

[@ladis3301]

Thank u so much

[@user-pw7cg1gu5n]

Do you have a video tutorial on Lorentz series?

[@valentinaflores9043]

should the Taylor series in the first checking comprehension drill be just ln x?? because of the zeroth derivative

[@wsar7669]

This hit different

[@baptistefenon5222]

Hey, im a young student and i am passionate about this type of math. I just noted one thing that I didn't find coherent. At 1:18 in the video, you say that the remaining sum is C0. This is so because you calculate f(a). But when we develop the serie, the first term is C0(x-a)^0. What isn't explained is that you consider that 0^0 is 1, when it is actually an undetermined form. Is their any explanation that I dont have which would make me understand this better?

[@bujjibalaka8002]

Thankyou sir

[@crusadershark7770]

finding this before my calculus exam being like, wait this isnt discovery institute but its still Dave

[@navagharkiran5769]

this is the same way we get all trigonometry series mostly used sin and cos

[@gobyg-major2057]

Isn’t the coefficient of c4 supposed to be 24 for the second derivative instead of 12? The coefficients are virtually factorials, aren’t they?

[@rdhossain282]

Go ahead sir :)

[@oliviazhai1831]

thanksssss

[@elgs1980]

Why can we plugin 0 as a to generalize to the cases when a equals other numbers?

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keep it up

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have not understand that befor🔥

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My undergrad courses made me hate calculus you made me propose to it!

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You explain so much better than my teacher

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i would love to! if your school will pay for me to come out and speak, i'm there!

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dude said: "lets check comprehension" and I thought he was gonna give us a comprehension check for all of calculus ... phew.

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Love you

[@banthatiwisdom6783]

8:10 I need the reason why the radius of convergence is infinite not negative infinite as it is less than 1

[@bmohan5032]

In the second comprehensive problem why we did not evaluated f of a in the first term