Lec 4 | MIT 18.02 Multivariable Calculus, Fall 2007

[NganaJHone]

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[Ondelendo]

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[bebeheuy]

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[willamricard]

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[imegatrone]

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[bundawartini]

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[anakmudajaman]

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[sksameer208]

wow.Thanks.

[LAnonHubbard]

Thanks for this great video MIT and Professor Auroux.

[MrJohnnyd1982]

@simkintube How many Nobel Laureates did your school in Spain produce?  Careful dissing MIT. This is a required INTRODUCTORY course for all students. Of course it's easy.

[kvasir40]

I believe the instructor from Thinkwell teaches Calculus much more better

[checkspender]

@kvasir40 Well if he is a s good as your English is i bet your right

[kvasir40]

@checkspender

Typing a response on Youtube is more like a conversation rather than writing a college dissertation, wouldn't you think? Yet, there are always people focusing on each and every details in an attempt to push out rethoric for some strange reason. Perhaps the need to ventilate, or express some frustration in their lives, who knows. So, gentlemen, please, let's keep our eyes on the ball, shall we?

[IndigentiaSumEgo]

@kvasir40 omg SHUT UP.

[x1x2x3ct]

which is the same thing lol... fool.

[simkintube]

I'm not saying the Spanish model is the best one, and I'm not saying your model is totally wrong, it has good things, but I think there are better societies almost in any aspect than yours, read for example about countries such as Denmark, Norway etc, I think you'll be pretty surprised.

[dinotles]

@simkintube The best thing about going to university in Norway is that i pay like $13 and 50 cents per semester. And it is good education... But MIT will probably give you a better job, and the brightest international heads want to go to MIT so you get a good group of people to study with. But like everything basic in America, like healthcare and education... Its developed with the rich in mind.

[simkintube]

A healthy society uses the generated wealth to improve itself, to improve the living standards, the education people gets, etc.. but your society is a sick one, and sadly that sickness is spreading everywhere as mcdonalds did, stop being such fools and wake up, you don't have middle class anymore, middle class is by definition people who can afford a more or less normal life WITHOUT being heavily indebted and being slaves of that debt.

[simkintube]

My multivariable calculus class in Spain was at least 2 times harder than this, the entire carreer was 5 years long and it was FREE. People without resources even get extra money for transport etc.. of course this is already being fucked up because of your uncontrolled capitalism generated crisis, I used to think about MIT as something big and smart but it isn't.. the lectures are the same, even easier than in many other places.. you live indebted selling yout entire lives for nothing..

[CountOpaco]

This was a much easier lecture than the previous ones. Thank god for the break.

[MrYomantanepali]

his drawings are awesome...

[StatelessEuphoria]

why were they laughing?

[PlushChronicles]

@StatelessEuphoria probably his accent...so bad how they do that. this guy is ver very very smart.

[StatelessEuphoria]

@PlushChronicles

i love his accent...much easier to understand than some of my lecturers

[VFB1210]

At 4:40 it sounds like he says "Wir werden to use the same method..." kinda funny, haha.

[bmx391xmb]

these kids are coming from high school with out hearing about vectors and determinants and they go to MIT?

[stupidmonkey246]

@bmx391xmb self righteous prick.

and this is lecture 4. its a review of vectors, which not everyone is familiar with. did you know dot product and cross product in high school? or about adjoint matrices?

your a douche.

[bmx391xmb]

@stupidmonkey246 they've taken trig already. they know about vectors (thats when we learn them in florida). maybe not so much about cross and dot products. I wouldnt expect them to know any good algebra but at least component addition and the basics. i had a good trig teacher in high school and i was exposed to dot and cross products.

[joeglimmix]

@bmx391xmb the dumbest kid here is 10x smarter than you. is someone special because of what they were taught in high school? i think not, douche boy...

[bmx391xmb]

@joeglimmix ...i think you need to calm down... and you dont know how smart i am or how smart they are. no one can say whos "smarter" and i honestly dont care. that comment was intended to be critical of the primary school teachers they have at what ever schools these students are coming from, or at least the curriculum of said schools.

[taikukaikei]

I enjoy this. I wish my school went more in depth, and not spent most of the time on getting students to understand the calculation part.... cuz formulas exist for that.... logic behind all that is quite a different thing

[sintenolwe]

What can I say... I'm taking this lectures at night, before going to sleep, and I never thought I'd like to study calculus just for fun. I don't even like to study at all, but all these MIT lectures are so interesting! Also, Denis is cute :3

[Taowhr]

Anyone notice those lines look really straight?..

[matanorland1]

Help me out on this one guys. They're charging 40k$ for a school year (about 16 times what I pay) and they need donations?!

[alitou001]

@matanorland1 hehe that's true,

[alkalait]

@matanorland1 This is not how things work. MIT works like a corporation, and when corporations start new projects, they either allocate money for their development from a bank account or by loans. After the project is developed is must be self-sustained and cannot exist as a burden of other projects. Plus, departments compete within an corporation for funding; it's not free for all.

[sowpur]

@matanorland1 It's because not all of the students pay all of that $50K (that's what it is now). About 85% of the students receive some sort of grants from MIT. In order to maintain and make sure that future students will get those those scholarships they need donations.

[Iamatheist1234]

@matanorland1 lol exactly

[NoNiceNamesLeft]

@matanorland1 they are charging people 40k, while you are getting this for free, that is why people donate.

[Sabuntr]

@matanorland1 lol i pay 0.7k$ for a year and my calculus lectures are much harder :P

[chumbucket843]

@matanorland1 believe it or not but most of their income is not from tuition, but grants, endowment, and other funding. the costs of world class/cutting edge research is very high.

[remuscariasonant]

He's a little boy genius (accademically speaking) , he had 2 BSc in maths and physics (1st class) by the age of 17!

[ffddssaavvccxxzz]

he is a good teacher..

[ffddssaavvccxxzz]

he is a good teacher..

[Aerosion]

why is everyone laughing? is it at his accent?

[chetjan]

I'm loving it.

[jouma666]

What the hell kind of multivariable calculus course is this? thats 3 full lectures on vectors and 1 so far on matrices...

[useagle1987]

go teach MIT the best college in the world what to do asshole.

[highaerials36]

He first did dot products, then cross products, and then something else, at 50 minutes a piece, with examples and definitions. You can't rush this stuff, I think his pace is good (and the same as with my current Calc class).

[aakksshhaayy]

how did most of them get the vector and plane problem wrong..these are MIT students right?

[jajnic]

You exaggerate, I think. I suppose they did the dot product and forgot that they were asked about plane, not the normal vector. They missed the last step or smth ;)

[theRealCheeseCake]

they don't get into MIT because they're smart, they get in because they're good at learning

[godlord666]

Not necessarily. The only guarantee is that they know work hard and study, while Einstein's could choose to be a slacker and be going to worse colleges.

Isn't the education system America has set up great??? work your ass off for us and you will be payed! if you're smart... well no one really cares we just want you working for us.

[skyfaze]

@theRealCheeseCake uhh u have to be smart too

[IndigentiaSumEgo]

@theRealCheeseCake True, yet the two are not always mutually exclusive! But yes, the statement is, in general, true.

[SaintSabel]

@theRealCheeseCake isn't being good at learning the definition of being smart?

[alkalait]

@aakksshhaayy That question was designed to be a bit of a mindfuck. It makes you focus at answering with respect to the normal vector because that is what you have to take the inner product with and put labor. If you are not focused you don't pay attention to the last part, the actual question (and not because of stupidity as many people would rush to imply here).

[roflcoptergoswoosh]

awesome this is really helpful

[enkii82]

is this graduate class or undergrad?

[inspiration4him1]

This is calculus 3, so this is definately undergrad.

[darkinvestor]

undergrad obviously since its basic calculus....