The Calculus You Need

[@owen7185]

Prof Strang has inspired me to be as good as possible in everything I want to achieve

[@hannslunninger416]

Diese Videos zeigen eindrucksvoll, was einen guten Lehrer ausmacht: 1. Fachkompetenz 2. Fachkompetenz 3. Fachkompetenz 4. die Liebe zum Fach und das Bedürfnis, dieses Wissen - und vor allem worauf es ankommt - weiterzugeben. Die Methode dazu ergibt sich unter diesen Voraussetzungen ganz natürlich von selbst. Great praise and many thanks!

[@bernardoborges8598]

Auch Fachkompetenz nicht vergessen

[@SebastianLopez-nh1rr]

The quotient rule: "Who can remember that?!" It made me laugh hahaha

[@박형주-f5g]

korean high school students: we remember it damn it!!

[@Alberpinypon]

It is just a joke man! Take it easy

[@thomasr.7579]

Sebastián López composite function..

[@Skrzelik]

"low d high minus high d low square the bottom and a way we go" I think you can remember that :) (Yes I know I'm answering after almost a year)

[@f.easulin3091]

after 10 years, can remeber, my teacher thought it would be funny to sing it..

[@kingsnowy3037]

"That's called the Taylor series. Named after Taylor." I love this.

[@Os_Bosniak]

Dear mister Strang it is a great pleasure watch this video series. You are enlighten this hard and very non intuitive stuff. Thank You a very, very much. Great greeting from Bihac, and i wish to You only best wishes.

[@loden5677]

I really love this lecturer he has such an effective and refreshingly succinct way of delivering the content!!

[@astropgn]

I never had a good understanding of the Taylor series. For me it was kind of magic. I probably missed the lecture when my professor gave it to me, but I am inclined to say that actually I was there but the class wasn't that good, unfortunately. His small description of what the taylor series is was so useful I am now wanting to learn about it by myself just because it made so much sense

[@smedleybelkin19]

Our first year lecturer showed us it and then moved right on saying it’s obvious to you all… it wasn’t.

[@qzorn4440]

this is the real Dr. Who can teach Calculus. thanks.

[@sravanvurlugonda2871]

just listening lecture and out of the blue comes " this is taylors series" shocked and amazed to know the essence and meaning of taylors series. all these days taylors series i just use to mug up. Thanks a lot Mr.Gilbert strang🙏🙏🙏🙏🙏

[@CatsBirds2010]

I am so very thankful to this guy that can't express with words.

[@bunkydunk7500]

So good I need to watch them again and take notes. I am truly inspired by his excellent explanations.

[@UnforsakenXII]

Is it me or is there a little bit of sound errors?

[@thebigVLOG]

+Andres It's definitely you, Strang doesn't make mistakes.

[@UnforsakenXII]

I meant like the audio. I think it was my headphones. Lol.

[@thebigVLOG]

The muffled sounds is there on purpose, Strang was just testing his students. BTW, I've been joking :p

[@SilverArro]

+Andres It's not just you. There are several sound skips.

[@loganborghi5727]

i swear, you are watching this video too? lol

[@bd_harold7752]

He is one of the best professor.

[@MisterBinx]

I got a C in diff eq but I want to have a deeper understanding. I hope these videos help.

[@JohnnyYenn]

The sound errors are absolutely driving me nuts! :(

[@Sinusis]

Thank you for this beautiful enlightening lecture.

[@TheFrygar]

Strang is truly a legend among mere mortals

[@mrblini]

This guy is a true professor

[@moehassan_]

3:15 "I''ll change that dummy variable to t. Whatever. I don't care" I love this guy

[@JawharBacha]

Dr Gilbert Strang is just my saver as always ! Thank you very much

[@randallyoung6715]

This guy was (and is) a star.

[@bobnash79]

Thanks for sharing this video...lots of sleeping connections in my brain started sparkling again :-)I like very much the visualisation of the taylor serie . Very clear!

[@AndreOliveira-ol3cy]

Oh man, I'm in love with these classes. Dr. Strang, I hope someday I'll be just as half as good as you as a professor. I'll then know that am an awesome teacher! Thank you very much!

[@kingsnowy3037]

Holup now. Dr. Strang? I can't believe I've never thought of his name with his honorific. That's funny. Dr. Strang. Sorcerer Supreme.

[@Alberpinypon]

Can anyone clarify why he took e^t out of the integral? Isn't it required to be a constant for being taken off an integral?

[@VidsAccount123]

e^t-s can be rewritten as (e^t)/(e^s) because of the quotient rule of exponents. Therefore the e^t can be take out as a constant, and he left e^-s for simplicity instead of writing 1/(e^s)

[@TheCesarcastro]

He took e^t out of the integral because the variable in which you are integrating is "s" not "t", so you can consider "t" or any function of "t" as a constant, so you can take it out of the integral.

[@Alberpinypon]

Lol, so true, thanks for the feedback guys!

[@HH-wh1kh]

BEST MATH TEACHER !!!

[@Le_Parrikar]

wow. This provided a completely new perspective for me.

[@thewanted5869]

Can anyone explain why f(t+▲t)-f(t) =▲f? at 9:48

[@ГеройАлександрНевский]

❤️❤️❤️❤️❤️ Differential equations. Thanks Doctor ...

[@ankanbiswas2854]

@7:20 shouldn't it be e^(-t)[ e^(-t).g(t) - e^0.g(0)]? is it just convinient to ignore e^0.g(0) because it is convinient here?

[@user_golden]

No, it is not correct the way you write it. There is no e^0.g(0) term there.

[@guliyevshahriyar]

Thanks so much, professor!

[@alexeisirotinin3590]

Thank you, Mr. Strang.

[@asdfafafdasfasdfs]

7:33 shouldn't the first term be y(t)?

[@Fr3Eze1992]

holy shit that equation at 7:50 blew my mind

[@BuddyNovinski]

When I took differential equations at Penn State back in 1976, this is how the professor should have introduced them, along with the suggestion to practice the equations as much as possible!

[@elamvaluthis7268]

How great and how nice explanation?

[@timdong2147]

At 7:50, why did he substitute s with t, giving e^t. Shouldn’t it be e^s? What about e^0?

[@Fabsurf101]

Great prof!

[@nicholasesposito1212]

The calculus you deserve. But not the calculus you need right now

[@FernandoVinny]

7:15 isn't exp(-s)q(s) ???

[@mahalingama4162]

same doubt

[@rafaelsouza4575]

where do the denominators from the Taylor series terms come from?

[@hrperformance]

7:40 why are we treating q(s) as a function of t?

[@hywelgriffiths5747]

It's what he says on the previous board (3:00) when talking about the fundamental theorem: inside the integral we use a dummy variable that can be anything - the actual variable that the integral is a function of appears in the limit (the x at the top of the integral sign).

[@hrperformance]

@@hywelgriffiths5747 thank you 👍🏼

[@andrewlee7307]

Great course, never view differential equations that way!

[@sergiohuaman6084]

Dr. Strang is the Chuck Norris of Mathematics.

[@GrimKage]

7:15 why did the s turn in to t when you derived the integral??

[@Adithyaflute]

limits applied. so it turned into t

[@mikej3555]

3:42

[@ichoine]

Love the way you explain things :))

[@verofalcon8443]

Conciso, claro.

[@companymen42]

Ow my ears. MIT please fix your audio

[@sureshkumarsahu5010]

Thanx professor strang

[@abidalrk4432]

there is one thing that bothered me abt taylor series , isn't the t+∆t should be t'+∆t and ∆t=t-t' (with t' a real number) , cause when want define Taylor series for a function , we do it in a neighberhood of a point t' , any way the notations that i wrote seems more logical than the other , am i right ?

[@ahmedismail1018]

i love u MIT

[@DosVulcanianos]

Amazing, but I didn´t undernstand why dissapiar the g(s) and it became in g(t). I beleave that is related with the intregral from 0 to t, but can anyone give any clue? thank a lot

[@haroonhafeez2368]

Because of limit. Its limit was from 0 to "t"

[@AliVeli-gr4fb]

I thank you, sir

[@tiagozibecchi3634]

EXCELLENT

[@lavieestlenfer]

Why do the s terms become t terms?

[@robertw2930]

Does it have to do with speed or time or just t for taylor?

[@guilhermesilva3415]

that's what the fundamental theorem of calculus says(you might wanna check it out), if you're taking de derivative of an integral ( integral of "e" to the "t") evaluated from 0 to "x", then the derivative is what is "inside" the integral evaluated in "X". "e^x". fundamental theorem of calculus.

[@Priapos93]

Timeless

[@rainuriftiannehziraelwance9582]

the Calculus you need e - x insteresting what informations different equastion not everythings all detail.

[@is-ig4zh]

This is my first time seeing big chalk.

[@Sahilbc-wj8qk]

Amazing finely last point get a real thing for me.

[@bilalabbad7954]

Thank lot

[@dalyd12]

This is great

[@carlostonchee3393]

Why are you using the Laplace transform of the function instead of the time domain function?

[@kvlpnd]

because after transferring to s domain, calculations become very easy.

[@kvlpnd]

also we can use as many domains on a single equation but can't really process them simultaneously. That's why he put the terms instead of processing.

[@carlostonchee3393]

Ohh thanks Keval Pandya​

[@zeeshan3dge]

great...

[@azamatdevonaev1772]

I wonder what to say or not to say if I find those guys that disliked the video...

[@joeewert4503]

No sound errors on 1.25 speed :) Maybe the ML speedup algorithm filters out the noise. EDIT nvm it only did it with the first scratch.

[@Suiiiiiiiiiiiiiii1]

Lol you are right

[@devsaranga]

13 people don't have the Calculus needed.

[@MaterJediAnakinSkywalker]

he is blinking me

[@kvlpnd]

oh my poor internet speed. :(

[@samb443]

Low d high - high d low over low low ez

[@FingerThatO]

Sam M your mom is easier.

[@Lampeaoo]

Man, I was watching differencial equations and the video came later was that... that is way before than DE. It would be perfect if the video was being put in the right order :(

[@muhammadfaizanalibutt4602]

taylor swift series

[@FiveEars]

sounds terrible - what a waste of good content