A true instructor who teaches with love and kindness. One who cares that his student is getting the best! Salute you good sir!

The way he connected the linear approximation of e^.01 to the power series representation of e^x was brilliant! Its something that's so obvious but very easy to overlook.

An excellent instructor who helps you get the true concept behind the formula. Thanks so much for this video.

awsome! wish I had discovered prof. Strang some 20 plus yrs ago! as my daughter says: "there is no bad studen, there are bad teachers", my greatest congrats to Gilbert Strang, who masters how to engage the students! He spells out for every body what the better students recite on their own.

Another banger, it’s incredible how much knowledge this man packs using such simple examples

For a student, the key to learning is motivation the key to which is pleasure from learning. Professor Strang shows us the pleasure of learning every second. From that we've got motivation which keeps us going on learning.

This is the most brilliantly simplified lecture I've seen on math so far, and it perfectly retains all the necessary information in an easy to understand way.

This lecturer's explanation is so much more intuitive than other Newton-Raphson videos I have seen. Thank you.

Newton's method is one of the most beautiful root-finding algorithms out there. It is a pity it doesnt always converge to the value because it depends on the function and the first guess you take.

MIT has nice chalk.

You're awesome. This is what my teacher tried to teach in three or more hours and failed to do. I got a much better idea now. THANK YOU!

He solved me 3 doubts I had without asking, just amazing!

5:50 "Newton and then somebody named 'Raphson.' " Lol

I have never seen a teacher like you. Thank you sir.

The Newton /Raphson method is a great way to solve nonlinear equations. Once again DR. Strang thank you for a solid input into Newton/Raphson and the Linear Approximation method.

He is so adorable! I love his passion for math... this video has helped me so much!

It just occurred to me a degree from a place like MIT simply means that you may have better grades because your instructors we're better and learning was facilitated by genius. Doing well in a less impressive school may actually be more impressive if it is only less impressive not because of the expectations of learning by because of the facilitations of learning. Doing well in a less impressive school shows a great improvement of self efficacy or that you don't have money.

a wonderful professor. what a joy to have found this video.

Great explanation! Thank you, Strang :)

Respect to Prof.Gilbert Strang. Been watching his linear algebra too.

Thank you Professor and thank you MIT.

AMAZING PROFF!!

Crystal clear, thank you very much!

such a wonderful teacher

Brilliant. Thank you so much.

sweet!!! Gilbert you're the best.

What a teacher!

It's astounding how much influence "fig newtons" - which I buy for $1,78 per pound has had to this day.

what a professor!!! thank you!!

It's simply amazing

Superb I understood well thank you sir.

incredible! thank you so much!

Gilbert Strang is a teacher!!! A lot of the other explanations on youtube and some books are so confusing

A Classic Class.

Man he is good!!

"FOLLOW THE LINE" GREAT

thank you so much professor

Very entertaining teacher and very well explained!. Is this level undergraduate or graduate?

just too good. thank you :)

Brilliant !!

thank you

it is exactly mathematical show. Thanks to big ball Gilbert Strang

a length of 31:41 aka 3141 aka 3.141 aka 2+sqr(2)

Solving for e^0.01 using Newton Ralphson gives -1?

Amazing!🥰

2.759 x10^-12

6:01 Linear approximation..Newton’s method

great!

The error in the second newton example is .000083

16:51 But curves are hard to follow :)

Insightful lecture indeed! Can anyone please let me know how close is close enough for such approximation? Is it good to keep |x-a|

Amazing! :)

so, am I correct - linear approximation, all you are really doing is taking a point and multiplying by the slope of a known point. That seems pretty straightforward. And the slope for a curve is the derivative. But ya..you are just taking a short line and multiplying by slope. Doesn't seem very difficult

432?432?"12?24

entendí casi todooo 😭

This is a very simple topic-but presented in a way that is too complex and confusing.

Well beggers can't be choosers if you get into a iffy/shitty school.

He thicc

unless ur a genius urself the tutelage of a genius will be fruitless. i think the idea is u r of hi intellect u get into MIT , where u r exposed to a genius level of difficulty. So if u pass, ur a genius