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

@user-ss5su1rc6v

7 жыл бұрын

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

@Alberpinypon

7 жыл бұрын

It is just a joke man! Take it easy

@thomasr.7579

7 жыл бұрын

Sebastián López composite function..

@Skrzelik

7 жыл бұрын

"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

7 жыл бұрын

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

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

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.

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

2 жыл бұрын

Auch Fachkompetenz nicht vergessen

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

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

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

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

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!

Thank you for this beautiful enlightening lecture.

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

The sound errors are absolutely driving me nuts! :(

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

21 күн бұрын

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

wow. This provided a completely new perspective for me.

Thank you, Mr. Strang.

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

@thebigVLOG

8 жыл бұрын

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

@UnforsakenXII

8 жыл бұрын

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

@thebigVLOG

8 жыл бұрын

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

@SilverArro

8 жыл бұрын

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

@loganborghi5727

7 жыл бұрын

i swear, you are watching this video too? lol

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

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

He is one of the best professor.

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🙏🙏🙏🙏🙏

This guy is a true professor

Great course, never view differential equations that way!

This guy was (and is) a star.

Thanks for your lecture.

Strang is truly a legend among mere mortals

Thanks so much, professor!

Love the way you explain things :))

How great and how nice explanation?

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

Great prof!

BEST MATH TEACHER !!!

I thank you, sir

Conciso, claro.

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 ?

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

4 жыл бұрын

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.

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

This is great

Thanx professor strang

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

7 жыл бұрын

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

7 жыл бұрын

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

7 жыл бұрын

Lol, so true, thanks for the feedback guys!

holy shit that equation at 7:50 blew my mind

EXCELLENT

Amazing finely last point get a real thing for me.

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

@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

Жыл бұрын

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

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

4 жыл бұрын

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

i love u MIT

Thank lot

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

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

great...

Ow my ears. MIT please fix your audio

Timeless

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!

This is my first time seeing big chalk.

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

2 жыл бұрын

Lol you are right

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

@kvlpnd

8 жыл бұрын

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

@kvlpnd

8 жыл бұрын

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

8 жыл бұрын

Ohh thanks Keval Pandya​

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

@Adithyaflute

2 жыл бұрын

limits applied. so it turned into t

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

@mahalingama4162

3 жыл бұрын

same doubt

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

Why do the s terms become t terms?

@robertw2930

6 жыл бұрын

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

@guilhermesilva3415

6 жыл бұрын

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.

3:42

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

@hywelgriffiths5747

Жыл бұрын

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

Жыл бұрын

@@hywelgriffiths5747 thank you 👍🏼

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

oh my poor internet speed. :(

he is blinking me

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 :(

13 people don't have the Calculus needed.

Dr. Strang is the Chuck Norris of Mathematics.

Low d high - high d low over low low ez

@FingerThatO

7 жыл бұрын

Sam M your mom is easier.

taylor swift series

sounds terrible - what a waste of good content