Lec 9 | MIT 18.01 Single Variable Calculus, Fall 2007

[AntoMelta]

Good, I like that you share this video Linear and quadratic approximations, I wish success always

[imegatrone]

I Really Like The Video Linear and quadratic approximations From Your

[bundawartini]

Your Video Linear and quadratic approximations Is Very Useful Sharing

[dmtang01]

I think he made mistake noting that the formula for T prime (Time diliation) is for general Relativity.

[mdgreg]

@dmtang01 Both, but He was Only Evaluating for the Component for Special.

[fedophile]

linear approximation is what i like to call a "taylor series striptease" :D

[agapitoflores001]

Masakit na sa ulo. Kelangan ko na magpahinga.

[ttttrigg3r]

Good lecture. Horrible camera control.

[treeandplant]

yup.I agree.Lack of humor and lengthy and boring lecture.[Not all of them].I don't understand why they make it so complicated by elaborating a lot of simple concepts.Is it because they want to preserve MIT standards?

[husttianwang]

It is too easy ,in fact !

[RevolucionMx]

Where is Lecture 8!??

[NBomb187]

@RevolucionMx read description

[vigilantmark]

@RevolucionMx They had a test on lec. 8

[anakore2]

32:25 there is an error. Is not (1+1/2 u) but (1-1/2 u)

[lucasas8]

@anakore2 there is not! its minus because of the "-u" and the "-1/2" in (1-u)^-1/2

[dbfelber]

at 32:20 , if you are investing billions of dollars and lots of time into the gps system is it that hard to spend some extra time in order to find the exact result?

[mashka888]

Thanks MIT

[AnimeASK]

Great lesson! just wondering how is the quadratic apporx. equation (the extra addend) come from? Like I know how the linear is proved to be but what about quadratic apporx equation proof?

[AnimeASK]

@AnimeASK nvm it was in the next lesson :p

sry about that

[gorgolyt]

i'm impressed by the number of women in the lecture

MIT must do a lot more than most other universities to promote equality. it's like a 1:9 ratio at mine.

[hellomate639]

My AP Calculus teacher rocks because I skipped ahead into the video and know exactly what the dude is talking about.

[sponsoredwalk1]

I tried to learn the concept from this video months ago and I swear he made me scared.

WHY DOES HE MAKE IT SOUND SO DIFFICULT???

This whole lecture is based on the point-slope equation which is really just the slope formula anyway.

How do you get slope m?

(y_2 - y_1)/(x_2 - x_1) = m --> Slope

Then, get the x's over to the m

y - y_1 = m(x - x_1) --> point-slope equation

Then, we solve for y,

y = m(x - x_0) + y_0 --> Linearization

He makes it seem as if the eq comes out of thin air.. :o

[sponsoredwalk1]

It's not that what he's teaching is wrong or anything he its just that he gives no motivation for why he knows this, why there is a need for it and what the intuition is. That is valuable for students who are knew to this & 5 minutes on the intuition connected to previous knowledge is better than 50 mins of confusion.

He's a good teacher but I think most people would have to be already familiar with the concept to appreciate any of it, most would go to khanacademy videos to get the intuition :p

[GentillAbdulla]

@sponsoredwalk1 The Khanacademy ones do give you the intuition but the ability to derive them, at least for me, brings this one over the top.

While Mr. Khan is great at giving you intuition, I think it is much better for you to be able to derive the equations in order for you to get the intuition.

Also he doesn't tell you how to derive anything, other than a few instances.(From what I have seen.)

[reik2006]

@sponsoredwalk1 He does the exact same thing at 7:47. You surely passed out some seconds before this :)

[sakhan0007]

Thanks MIT for the great work!

I am unable to locate the 8th lecture, is it there? please advice.

[gcash2009]

there is no 8th lecture. the 8th lecture is the 1st exam... as u can see on the calender available on ocw site.

[OneS1ght]

how does mit fit in like 40 lectures of a single course into on e semester?...is the course run all year long?

[edukid1984]

easy. All they have to do is to have three lectures per week over perhaps 13 weeks (3 months) plus a bit more and you have 40. Yes that generally means that a freshman will have many hours of lectures per week across all subjects. Heavy workload.

[eliserule]

the notes are on the MITopencourseware website..you dont have to take your own.....smart people............lol

[gavilanch]

I don´t understand what people is talking about, I found this video just like others, I mean, It wasn´t slow at all, actually, I really really enjoyed it!!!

Thank you MIT and Professor David Jerison

[amcbirds]

why this video is too ****ing slow.. takes for ever to finish watching it

[asawray]

No kidding! Don't get me wrong, I love what MIT is doing and greatly appreciate it however it comes. But empirically, my notes took almost twice as many pages as previous lectures and I had to constantly stop the video. I think it was due to all the graphing since the quantity of graphs was significantly greater from my previous notes. This lecture seemed to take forever.

[chrischang0905]

Thank you, Prof. David Jerison. Thank you MIT.

But, it's too dark and please change a good cameraman. This one nearly ruined a good course.

[woodmaster413]

it seems as if the cameraman is getting lazier by the lecture. instead of zooming in and following the professor around, it just backs out and stays there.

[MrSystemVI]

Thank you for teaching MIT 18.01, and making it available to all human with internet access. I enjoy learning from MIT.

Thank you, Prof. David Jerison. Thank you MIT.

[cesfigas]

now i´m starting to learn something new, this teacher never insinuates that the questions that are posed are stupid or unapropried, this teacher is a good teacher.....

[wangjjang9]

Perfect! this is what i was looking for...detailed, step by step lecture.

[achrispens]

This teacher is fantastic! Thanks to all who put these videos together.

[husttianwang]

@achrispens

Lack of humor ，isn't he？