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.
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.
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.
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.
+9BoStOnGeOrGe It is Hagoromo chalk. No wrong theorem can be proven with that chalk. Unfortunately, the company that makes the chalk is going out of business. (Cf. www.independent.co.uk/life-style/gadgets-and-tech/news/hagoromo-chalk-why-the-demise-of-a-japanese-company-is-a-blow-to-mathematics-10326313.html)
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.
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.
A really good teacher, check out his linear algebra videros on OCW. They are amazing, I've even picked up his textbook "Introduction to Linear Algebra" It's amazing especially alongside his lectures.
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
+Luis Lomeli Probably because some people just want to know all the details. I mean, of course some people might want a more basic approach when learning things, but me for instance, I want to know lots of itty bitty details about it so i can have a concrete idea about it.
+Luis Lomeli Probably because some people just want to know all the details. I mean, of course some people might want a more basic approach when learning things, but me for instance, I want to know lots of itty bitty details about it so i can have a concrete idea about it.
Yeah I find the geometric look at this to be a lot more intuitive, he started off looking at it from the algebraic standpoint and I had to concentrate to follow.
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
![The most beautiful equation in math, explained visually [Euler’s Formula]](http://i.ytimg.com/vi/f8CXG7dS-D0/mqdefault.jpg)
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 lecturer's explanation is so much more intuitive than other Newton-Raphson videos I have seen. Thank you.
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.
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.
He solved me 3 doubts I had without asking, just amazing!
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!
MIT has nice chalk.
+9BoStOnGeOrGe It is Hagoromo chalk. No wrong theorem can be proven with that chalk. Unfortunately, the company that makes the chalk is going out of business. (Cf. www.independent.co.uk/life-style/gadgets-and-tech/news/hagoromo-chalk-why-the-demise-of-a-japanese-company-is-a-blow-to-mathematics-10326313.html)
The sliding multi-paneled chalkboards are also pretty amazing.
Lmao
Sidewalk chalk.
We have that in multiple colors.
Lol jk
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.
5:50 "Newton and then somebody named 'Raphson.' " Lol
Lol'd so hard I had to pause the video
i didnt laugh at all. it wasnt that funny
was looking for this comment lol. He did went on to say somebody named 'Raphson' haha
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.
Respect to Prof.Gilbert Strang. Been watching his linear algebra too.
I have never seen a teacher like you. Thank you sir.
Gilbert Strang is a teacher!!! A lot of the other explanations on youtube and some books are so confusing
A really good teacher, check out his linear algebra videros on OCW. They are amazing, I've even picked up his textbook "Introduction to Linear Algebra" It's amazing especially alongside his lectures.
a wonderful professor. what a joy to have found this video.
Thank you Professor and thank you MIT.
He is so adorable! I love his passion for math... this video has helped me so much!
what a professor!!! thank you!!
A Classic Class.
thank you so much professor
It's astounding how much influence "fig newtons" - which I buy for $1,78 per pound has had to this day.
Great explanation! Thank you, Strang :)
incredible! thank you so much!
it is exactly mathematical show. Thanks to big ball Gilbert Strang
"FOLLOW THE LINE" GREAT
What a teacher!
Crystal clear, thank you very much!
such a wonderful teacher
a length of 31:41 aka 3141 aka 3.141 aka 2+sqr(2)
Very entertaining teacher and very well explained!. Is this level undergraduate or graduate?
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
It is not difficult. The problem is the sequence of values doesnt always converge to the root.
Superb I understood well thank you sir.
Man he is good!!
It's simply amazing
AMAZING PROFF!!
Brilliant. Thank you so much.
16:51 But curves are hard to follow :)
sweet!!! Gilbert you're the best.
Amazing!🥰
The error in the second newton example is .000083
Insightful lecture indeed! Can anyone please let me know how close is close enough for such approximation? Is it good to keep |x-a|
Keep it
Solving for e^0.01 using Newton Ralphson gives -1?
6:01 Linear approximation..Newton’s method
just too good. thank you :)
2.759 x10^-12
Brilliant !!
thank you
great!
Amazing! :)
entendí casi todooo 😭
This is a very simple topic-but presented in a way that is too complex and confusing.
+Luis Lomeli Probably because some people just want to know all the details. I mean, of course some people might want a more basic approach when learning things, but me for instance, I want to know lots of itty bitty details about it so i can have a concrete idea about it.
+Luis Lomeli Probably because some people just want to know all the details. I mean, of course some people might want a more basic approach when learning things, but me for instance, I want to know lots of itty bitty details about it so i can have a concrete idea about it.
Nothing was confusing. And these are the highlights of Calculus.
Yeah I find the geometric look at this to be a lot more intuitive, he started off looking at it from the algebraic standpoint and I had to concentrate to follow.
432?432?"12?24
Well beggers can't be choosers if you get into a iffy/shitty school.
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
He thicc