Lec 13 | MIT 18.01 Single Variable Calculus, Fall 2007

[Ondelendo]

Steady I Really Like This Video Newton's method and other applications

[bebeheuy]

Good, I like that you share this video, I wish success always Newton's method and other applications

[willamricard]

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[imegatrone]

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[bundawartini]

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[anakmudajaman]

after i watched this video Newton's method and other applications, my insight is very open because the video is very good to give information :D

[ae0lus]

What type of chalk is he using? It's so fat but it seems to write smoother than the regular skinny chalk. Likely because you can put more pressure on it so you can write faster.

[agapitoflores001]

I'll be watching all the videos from this class.

[inquisitivii]

well explained :)



[lifetimeoflearning]

There's a much easier way to derive the rate the water is rising in the cone:

2=dV/dt=pi*r^2*dy/dt.

So dy/dt=2/(pi*r^2)=1/(2*pi) since r=2.

[2514west]

@lifetimeoflearning Your derivation is not correct and you have the wrong formula for volume. You are using the formula v=(pi)(r^2)(h), the correct formula is v=(1/3)(pi)(r^2)(h), if you did use the second formula than your derivation is double wrong. The correct derivation of the correct formula is dv/dt=(1/3)(pi)(2r)(dr/dt)(h)+­(1/3)(pi)(r^2)(dh/dt). Considering you don't know dr/dt, you have two unknowns and dh/dt becomes impossible to solve for. Thats why the professor defined r in terms of h

[lifetimeoflearning]

@2514west My derivation starts with an infinitesimal volume element,

dv=pi*r^2*dh, I'm not considering the volume of a cone.

Divide both sides by dt and you get dv/dt = pi*r^2*dh/dt; consider r fixed. Then plug in dv/dt = 2 (given) and r=2 (given that h=5), and one gets the correct formula.

[hersoncr]

I wish I was a student of MIT!

[CrispyBacon12]

It was fun watching this lecture. Thank you for posting this.

[santiagogcastro]

the teacher also must tell the students that are a little lost what is the meaning of their answer for instance at 5 feet the water is raising 1/2pi he could show that the volumen of water is 2 per minute which means also that at a higher point the raising of water will be even less. this sort of explanations will make the students to understand better all these answers.

[vitalwords]

OXOME :)

[lamchop7]

Wow...52:33...what kind of students do they admit into MIT...

Nevertheless, great lecturer.

[aylictal]

@lamchop7 basing upon your response you seem to think that asking a question to seek knowledge is a stupid thing to do.

quite the contrary, most of the people i went to school with didn't ask the questions they didn't understand, and probably never will figure out something simple without guidance.

[lamchop7]

@aylictal Absolutely not, I definitely encourage people asking questions, no matter how trivial it may seem. That's how we learn and understand things.

What I meant in my previous post was my surprise towards how a quality school would have admitted a student of this ability, who has problems manipulating fractions. I just find it absurd, that's all.

[aylictal]

@lamchop7 it's the little things that always lost me the answers i tried to give in post calc. easy things like adding fractions sometimes killed an answer for me at the very last step of the problem. somehow when working on a problem that takes a half hour to answer, 1/2 + 1/6 just somehow equals 1/12 :P

after calculus, i never got a higher grade than a c. differential calculus was too hard for me :<

[anakore2]

i like this teacher but he has explained very badly the related rates problems. Is very difficoult to see the beuty of maths with this man but is ok for practical instances.

Thanks MIT

[J0EH3AD]

He is organized, explain as good as he can. He really tries that everybody understands the stuff even sometimes students ask very stupid questions.

He proffesor with all honors.

[alkalait]

20:25 a gangsta with brains? :-\

[sexytutorials]

my god this hurts my head

[CPLains]

Newton's method starts at 41:10 if anyone else is looking for that.

Good lecture :}

[stealthwavef22raptor]

wow i didnt know that mind reader  Ryker says thanks

[peggyt201]

its funny watching ppl walk in late O.o

[DanzQueen]

Very nice lecture. Informative and pretty self-explanatory.

[thecoolestjay]

Why did he use the '¿' character?

[Kingarthur305]

What took MIT so long to post past Lecture 12. Thank for the recent uploads MIT, but don't slack on us now, please post the other Single Variable Courses IMMEDIATELY. I love these videos.

[youngjun3]

MIT OCW has been a blessing for millions of people. However, the logistical problems of posting over 2000 course are HUGE.

[hellomate639]

Hmm... They have 1200 videos up already. They may not be terribly organized, but that's what the search bar is for.

[poopeatit]

@Kingarthur305

Maybe you should donate

[aybmab2]

These lectures are soo awesome!! I'm taking Ap calc right now and my ap test is in less than a month, and these lessons are like a nice review. Thank you soo much for posting them up!!

[Insidious77]

Nice lecture. Thanks.