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
@eddiesk90814 күн бұрын
Thanks for the teaching
@hamidalrawi22046 жыл бұрын
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. !!!
@michaeldufton22985 жыл бұрын
Hamid Alrawi I did the same and agree completely
@indiagujarati64325 жыл бұрын
The 3blue1brown video is aimed at people who already have some prior knowledge about Taylor series.
@yash32955 жыл бұрын
3blue1brown was teaching philosophy not mathematics
@ayushdugar16984 жыл бұрын
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.
@yash32954 жыл бұрын
@@ayushdugar1698 whom are you intending?
@adflicto13 жыл бұрын
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. :)
@abiyyuyandra10652 жыл бұрын
yes and it feels like completing other side quest and then go fight the boss
@deeppatel96246 жыл бұрын
let me tell you, your videos are crystal clear and very helpful. never stop man. you are great. PEACE
@ivoryas169610 ай бұрын
deeppatel9623 Fortunately, it seems like he's going strong as ever now! These knowledge gains can be. 👌🏾
@Deleted__4 жыл бұрын
Your layout is soooo clean. So simple and straight to the point. Thanks so much
@dougoberman25402 жыл бұрын
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.
@kozaTG7 ай бұрын
nah the dick eating is crazy
@yuyuvybzАй бұрын
Are u still alive? How was the exam?
@losslesscloud40876 жыл бұрын
Coincidentally, I just thought about this series this evening. And now open youtube with your video. Thank you so much.
@nishiva58505 жыл бұрын
It's not coincidence, it's called surveillance
@brie87073 жыл бұрын
Well, I think I found my new favorite tutoring channel. This helped me catch the concepts I couldn't quite grasp, and I really appreciate it.
@noone123234 ай бұрын
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...
@michaeldufton22985 жыл бұрын
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!
@BloxxingDinosaurus4 ай бұрын
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.
@Sandeeppappugodsgrace3 жыл бұрын
I don't find any words in telling u how clear and simple u make the videos .. lots of respect and love to u !!
@overlordprincekhan5 жыл бұрын
I think man you are god gifted teacher. The world needs your lectures, keep it up bro!
@muhammadyazeedtaseeu85394 жыл бұрын
ohh professor dave you are naturally ahead.... this video makes me clear understand about taylor's and maclaurin series
@colorx6030 Жыл бұрын
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.
@stringtheorymusical8413Ай бұрын
This is a stupendous , marvelous job. You wouldnt imagine how many materials I have been looking for MGF with taylor series also why e^x was used generally as the RVS.Thank you so much.
@Samurai99015 жыл бұрын
This video has given me some hope to not give up just yet.
@ooze98082 жыл бұрын
what the hell is going on, fml
@lullcipher3795 Жыл бұрын
Omg thanks Math Jesus
@benjifriedland1016 Жыл бұрын
This is excellent! Simple and concise explanation to a tricky concept
@ivyzheng86814 жыл бұрын
Professor Dave you really save my life!
@HeySorz5 жыл бұрын
Professor Dave, this was amazingly helpful! Thanks so much!
@alysmith78257 ай бұрын
Truly a legend, thank you lots ❤
@audendavis94225 ай бұрын
Great Video! It really helped me understand the rationale behind the Taylor and Maclaurin series. I really appreciate the content.
@AkshatJha2 жыл бұрын
Great video, thanks, wanted to point out at 6:01, it should be a=0 and not x=0 for Maclaurin series.
@LL-cz5ql4 жыл бұрын
wow, a month later i finally get this
@deus16555 жыл бұрын
Thanks man. Only video that explains this topic clearly.
@HumphreyChansa7 ай бұрын
Thanks a lot professor you’re literally the only reason I understood this topic
@anotherone23983 жыл бұрын
A full 2h Course down to Just 9 Mins , a tip of the hat to you , thank you
@bhaibrothers8193 Жыл бұрын
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..
@minxxdia11325 жыл бұрын
this is so intuitive! thanks a lot
@Rishabh_Joshi_4 жыл бұрын
Helped me understand it precisely. Thanks 😘😊☺️
@NH_RSA__ Жыл бұрын
3:54 Do you really want any C4 in your series?
@stephenmorris83764 жыл бұрын
Where do I donate? You've made a significant difference on my understanding of calculus and physics. Keep pushing out videos please!
@ProfessorDaveExplains4 жыл бұрын
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 professordaveexplains@gmail.com thanks for your support!
@stephenmorris83764 жыл бұрын
@@ProfessorDaveExplains done! I'll be sure to spread the word about your channel. I appreciate you!
@mindpower5194 жыл бұрын
Really helped out. Thank you so much
@subhamdas66995 жыл бұрын
thank you sir, I love the way u explain mathematics... 👌👌👌👌👍👍👍
@majestic7768Ай бұрын
Fantastic explanation, thank you.
@crusadershark77704 ай бұрын
finding this before my calculus exam being like, wait this isnt discovery institute but its still Dave
@bigseekersb3 жыл бұрын
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.
@liamyana06083 жыл бұрын
Been watching you as my guide for my class discussion. Great job Prof. Dave. GBU
@natty1 Жыл бұрын
i like how everyone is saying you make this simple and easier to understand yet im still extremely lost
@Kiky_MedPhysicist25 күн бұрын
Thank you sir for your dedication! 🙏
@mra58595 жыл бұрын
Great work professor,you helped me understand Thank you
@nancygu35394 жыл бұрын
i have a test in the next 70 minutes, thanks for this so much!!!!
@interceptassistgoal97446 жыл бұрын
We were taught this in College on this Thursday 😃
@abhiramrajeevan4 жыл бұрын
Mine today
@arturaskarbocius8285 жыл бұрын
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.
@ramiltaghiyev9712 Жыл бұрын
8:50 hi everyone. Where do coefficients 5 6 4 1 come from?
@carultch Жыл бұрын
We evaluated that its derivatives are: f'(x) = 4*x^3 + 1 f"(x) = 12*x^2 f'"(x) = 24*x f""(x) = 24 Evaluate all of these at x=1: f'(1) = 4*1^3 + 1 = 5 f"(1) = 12*1^2 = 12 f'"(1) = 24*1 = 24 f""(1) = 24 Now divide each of these by their corresponding factorials: f'(1)/1! = 5 f"(1)/2! = 12/2 = 6 f'"(1)/3! = 24/6 = 4 f""(1)/4!= 24/24 = 1 It's zeroth derivative at x=1, is zero, because the original function is x^4 + x - 2, which evaluates to zero Thus, we get: T(x) = 5*(x - 1) + 6*(x - 1)^2 + 4*(x - 1)^3 + 1*(x - 1)^4
@carultch Жыл бұрын
Since this already is a polynomial, it's really redundant to do a Taylor series. Any application of a Taylor series, could easily be done directly with the original function. All we need to do is shift the original function, so its input is centered on x=1. Given: f(x) = x^4 + x - 2 Let X = x - 1, and rewrite it in terms of capital X. Thus: x = X +1 (X + 1)^4 + (X + 1) - 2 Expand & simplify: X^4 + 4*X^3 + 6*X^2 + 4*X + 1 + (X + 1) - 2 X^4 + 4*X^3 + 6*X^2 +5*X Replace X with (x - 1), and reverse the order: (x - 1)^4 + 4*(x - 1)^3 + 6*(x - 1)^2 + 5*(x - 1) Result: f(x) = 5*(x - 1) + 6*(x - 1)^2 + 4*(x - 1)^3 + (x - 1)^4
@baptistefenon5222 Жыл бұрын
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?
@jeffersonbancaeren3 жыл бұрын
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 🌺💗
@moreblessingmushohwe65063 жыл бұрын
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".
@mohammadpourheydarian58775 жыл бұрын
Very beautiful. Thank you.
@yusufdadkhah75613 жыл бұрын
i am at 8:53. you have made a mistake, you showed the message the Taylor series is expanding with expansion about x=0, at (5:55) the grammar of the message is wrong, it is not the taylor series and the sentence should be saying a Taylor series is expanding through expansion and x is about 0. unless you meant at that point where x=0 or at the point where x is about 0. 6:14 (definitions) 6:35(maclurin series and base e) you also did not explain why the top terms can go away properly. the proper explanation is: the maclurin series is the wrong type of maclurin series on its own is wrong and doesn't have all the right terms for it. hence we correct it, to get the right maclurin series and to get the right maclaurin series expression we must work from e^0=1 and e^x=1, thus x=0. we cancel 0 from e^0 from e^0=1 and from sigma where the end point is infinity and n=0 and the rule given is f^n)(0/2!. f gets replaced by e since f^2=1 when n=0 and e^0 this replaces 0 with x since x=0 thus getting the right type of maclurin series that represents f(x)=e^x i.e the sigma where infinity is the end point and n=0 is the starting point and x/2! and x^n is on the right of the fraction.. also you have not explained how to get the Taylor series for the last questions. the explanation seemed to be: do f(x)=1/ x, f"(x)=-1/x^2, f"'(x)=2/x^3, F(4)x=-6/x^4, fx=x-1-(x-1)^2/2+x-1^3/3-x-1^4/4 since n gets substituded for a, and that we also must be do that because the limit approaches infinity and adding 3 side way dots after saves you time since the dots means what comes after and that adding 3 dots after takes hardly any time compared to including the rest of the fractions. for problems like that substidue n for x making f(x). for finding the taylor series for x^4+x-2 centered at a=1, we subtract the power 4 by 1thus gettung the power 3 and substituting x for 1 or whatever the value of a is given for.
@maryama78315 жыл бұрын
Thank you for this
@gaaraofddarkness3 жыл бұрын
So clearly explained. Please also cover Laurent series. I have the bell icon on
@siddharthpandey85165 ай бұрын
amazing! finally understood this
@hlexnc Жыл бұрын
Thank you
@gaminisiriwardana59464 жыл бұрын
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
@jrtthamasha730611 ай бұрын
Well explained sir.Thankyou
@raykillergames20193 жыл бұрын
You explain very clearly!
@onlyphysics1432 жыл бұрын
Waaao sir great demonstration, u hv made it clear and easy for students. thank you very much
@あい-ueo4 ай бұрын
OMG this is so much helpful
@FyisAhmed-b5e10 күн бұрын
Thanks a lot sir 🎉
@dudemanbro95002 жыл бұрын
Thank you so much, this video was a lifesaver!
@nevilkumara90386 жыл бұрын
I'm Sri Lankan .....you are a really great professor...i really appreciate it..... Don't you like to visit sri Lanka
@ProfessorDaveExplains6 жыл бұрын
i would love to! if your school will pay for me to come out and speak, i'm there!
@danyjoewin62525 жыл бұрын
Thank-you pro it's very helpful
@gobyg-major20572 жыл бұрын
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?
@rinzler3202 Жыл бұрын
My undergrad courses made me hate calculus you made me propose to it!
@YouTubist6664 жыл бұрын
I love this video. Very clear. Nice job. 👍👍
@stephaniegallik53504 жыл бұрын
thank you so much!
@josephsong50115 жыл бұрын
really helpful, thanks
@curtpiazza1688 Жыл бұрын
Thanx Prof. Dave! 😊
@keinsent4 ай бұрын
concise video❤
@banthatiwisdom6783 Жыл бұрын
8:10 I need the reason why the radius of convergence is infinite not negative infinite as it is less than 1
@XYZiad Жыл бұрын
have not understand that befor🔥
@maryama78315 жыл бұрын
You explain so much better than my teacher
@bmohan50323 жыл бұрын
In the second comprehensive problem why we did not evaluated f of a in the first term
@navagharkiran57695 жыл бұрын
this is the same way we get all trigonometry series mostly used sin and cos
@wsar7669 Жыл бұрын
This hit different
@MrRandel1004 жыл бұрын
Brilliant explanation, but also how do we call "a" in this topic, when we say function is centered at a=1?
@luminousvalentine80112 жыл бұрын
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
@kentonmccluskey4613 жыл бұрын
Super helpful video!
@sathvikmalgikar28422 жыл бұрын
finally understood thank you so much
@Ryan-mk6ch Жыл бұрын
i think i love you professor dave
@sreyashgupta219 Жыл бұрын
What a intro man...!!
@nolanhanson57432 жыл бұрын
dude said: "lets check comprehension" and I thought he was gonna give us a comprehension check for all of calculus ... phew.
@albinsopaj4 жыл бұрын
I didn't fully understood this video. He should have been more specific when making the substitutions of variables.
@TheCourtneydav3 жыл бұрын
Thank you so much
@elgs19803 жыл бұрын
Why can we plugin 0 as a to generalize to the cases when a equals other numbers?
@chloes13082 жыл бұрын
you are an absolute LIFESAVER, God bless 🤍
@valentinaflores9043 Жыл бұрын
should the Taylor series in the first checking comprehension drill be just ln x?? because of the zeroth derivative
@thorsingh50195 жыл бұрын
Namaste It is very easy to understand you
@kentkeatha92504 жыл бұрын
thx prof dave
@saravanakumar26125 жыл бұрын
Thank you sir
@pedrosso03 жыл бұрын
Thank you man
@bujjibalaka8002 Жыл бұрын
Thankyou sir
@bii_gii Жыл бұрын
whats the point of doing all those derivatives of such in the middle of the video...?
@indiagujarati64325 жыл бұрын
I got sigma (-1)^n-1 * (x-1)^n / n for f(x) = lnx Taylor series at a=1?