Lec 14 | MIT 18.01 Single Variable Calculus, Fall 2007

[ttttrigg3r]

Is anyone else bothered by poor camera movement? It focuses on the professor while missing the board many times.

[bicycleghost41]

Newton only did one iteration.. Raphson added the idea of using x1 for a new tangent… therefore Newton-Raphson Method

[insomniacgrace]

Wow, indeed, MIT greatly offers a quality education. This is worth watching for. I am looking forward to visit this school one day. Soon!

[agapitoflores001]

I have to take a break. I got a full dose of math concepts.

[nextblain]

use of so called super high tech class room with big screens is bullshit, stands no chance against the good old black boards

[merlinnerd1017]

Anyone can help? I need a mathematical, not intuitive, proof... =(

[Liaomiao]

This is great, I'm doing this and Linear algebra, and will be moving on to Multivariable Calc and differential equations. Its a privilege to be taught by one of the foremost institutions in the world. Hopefully MIT will upload their more advance maths courses in the future and share the knowledge with the world. Thank you.

[santiagogcastro]

Newton's method: this is a good example to see how mankind gets lost in particular problems, if you check the answer for square root of five you can see that it takes him a very long time to solve the equations and the fractions, while for me to solve manually (without calculator) could have an acurate answer to the -4 exp in a couple of minutes the most. what it is nice is to see the interpretacion of the root in geometrical partabole.

[datHulkinZ]

the education must be free why everyone keep it save thanks MIT

[huntmatuk]

I use Newton's method a great dal in my numerical work. I am always shocked how fast it is to home in on the solution.

[reformasky1]

I am expecting something more serious other than this kind of "informal " proof

[bonesmanjb]

this is just the basic mean value thrm examples......i'm lookin for the more complex stuff....like provin inequalities usin the mvt.can anyone help me??

[josecitomadera]

BIG DEAL if you do it in high school, in the 6th grade or in grad school, freshman year, etc, BIG DEAL-A hundred years from now, you will all be DEAD as a rotting corpse. So who cares if you learned it sooner or later. A hundred years from now, you will be NOTHING!!!!

[Sunnyman2012]

Once we know one value of c from the mean value theorem, we can differentiate the function and let it be equal to (f(c))' that we found from the mean value theorem, and therefore we can find the other values of c where the slope of the tangent line to the function equals (f(c))'!

[Sunnyman2012]

For c belongs to (a,b)

[Sunnyman2012]

For any x=e^n, it is clearly possible to know the value of Ln(x), which is n. For a particular case when n=o, therefore Ln(e)^0=0.

I am just saying that the teacher should not say that x=1=e^0 is the only number we can know for sure the value of Ln(x).

[shawnmoffit]

the idiot who filmed this particular video just focused on the professor - so when he walked away and was looking at the board, this person would focus the camera on the person - not the equation he was talking about.. not too bad, but the others were done much better. - if you aren't quick writing things down, you have to pause often.

[edwardzou]

and Why they are writing so big? :-P

[nusschoolchild]

they are matematicians

[sparkloweb]

He writes big because it's a big room.

And Powerpoint is no good for learning math or anything else. Its purpose is to dumb people down so they make poor decisions, which is why salesmen like to use it. Go learn how NASA's use of Powerpoint led to the space shuttle Columbia exploding because nobody realized the pretty pictures and bullet points were spelling disaster.

[thejugglenaut91]

despite the paranoid message, I completely agree with you. I usually leave a teacher's class if they teach with powerpoint. It's just lazy and much of they time they just make the powerpoints and don't prepare anything else before hand.

[edwardzou]

Why they don't used the pointpoint slides for lectures? Though it feels quite cool~~

[Alin2005]

What is cool is that i live in greece, and i am doing this in high school(the last grade) :)

Keep'em coming :)

[kuronekocfu]

They also do it in most high schools all around the world. It's very typical to repeat and thicken on some topics during the first year in uni... Don't assume the rest of the world is stupid. You'll be shocked when you meet them and realize how behind our great Greek minds are...

[thejugglenaut91]

what's happening in greece right now? Oh yah economic hell, that's right.

[Arcanist4life]

@kuronekocfu

in my opinion it doesnt matter if you do that stuff in high school or not. if you like mathematics you find a good book and learn anything you like. i live in greece and when i finished high school i bought a book on calculus 2 and studied it alone. it was waaay better than school or uni.university is overpriced really

[Arcanist4life]

@Arcanist4life also, just because some people didnt have some chapters on the school books, doesnt make them stupid :P

[kuronekocfu]

@Arcanist4life We're pretty much saying the same thing. My comment was a reply to Alin2005's comment; if you read that it makes much more sense :)

[woodmaster413]

kuronekocfu is rite. some kids are doing this in the 1st year of high school. and thats in OKLAHOMA, the place where everyone thinks we live in ranches and ride horses to school. now think how kids are in NY.

[thejugglenaut91]

no, that's not possible, they highest class you can get into 9th grade(in public school that is) is precalculus. Most people who go into mit are done with linear algebra and complex differential equations. Infact, I tried transferring there with a year of calculus and they said I need to finish those courses first.

[iainwalmsley]

I'm in the UK and i've taken this not even in my final year of high school, but bear in mind, this class is for people NOT taking maths, it's for other majors who have to take it. Also i really doubt you covered it at the pace of these lectures (the whole of elementary single variable calculus in a term).

Great video

[renzobmxer]

AMAZING