Mathematics - Multivariable Calculus - Lecture 1

[Gerlokh]

Can anyone tell me what textbook is used in this course and where could I get additional course materials, problem sets with solutions?

[JustinXiaoKe]

Parameter equation



[Arualebasi]

hey i will love you guys forever if you can give me an idea for a math experiment :)

[Maasa1990]

I find this video hard to masturbate to.

[fortgreene31]

yes indeed i love this video here. Very informational. Thanks.

[on9tai]

messi !?

[SH10JogaBonito]

I'm taking Pre Calculus as a sophomore (high-school) and this video as well as what I have already read about calculus doesn't seem difficult. What would you recommend me to do to become as familiarized as possible with single/multi-variable calculus. These lectures really help too.

[ATERIFA]

@SH10JogaBonito just do practice problems and see if you get them right.

[tunisiandreamfreedom]

thanks



[yasirnori]

skip to 15:00

[blackfroyable]

im only in 9th grade :D

[skywardsword10]

mutivariable calculus? wow! all highschool students who take precalculus as a freshman take mutivariable calculus as a senior and its also the highest math course in highschool(or at least mine). its a pity i'm taking honors geometry right now as a freshman and not precalculus.

[FFMSmit]

Why are there only dark haired people in the college hall??

[egentligentango]

Curves on a plane? Don't you mean SNAKES on a plane?

[lasadia25]

Wat is, thos

[emilcelik111]

Best professor in the world! :D

[nicktohzyu]

awesome accent ;D

[buddybabe65]

sorry to say this but this " math" vid IS BORING i dont even think that this is even a video

[buddybabe65]

sorry to say this but this " math" vid IS BORING i dont even this is a video

[galatisnik5]

@Progresista71 nothing times nothing is still nothing

[awaqar]

@haloreachnoble8 If you like math have you ever tried multiplying without multiplying? Check it out! "Speed maths- Multiplying without multiplying". Click on my username and check the vid. Cheers.

[plazasongsftw]

THE NUMBERS MASON, WHAT DO THEY MEAN?!?!?

[spain395]

can you brocast thease videoes all over the net

[zPiperPan]

this made my day

[asgher786]

@x1x2x3ct then get the hell out 

[Mark6770]

Sir I would like you check my video in math... about "Bernoulli numbers, Solution to solve areas under any polynomial step function..

[flowewritharoma]

greater lecture!

[movcrit]

FUNdaMENTAL theorem of calculus!!!

[luislinuxero]

does anybody know how this course compares to the MIT one?

[rwtfallenjf25132]

i like this guys humor, it makes the class not as uptight... my teacher i can barley understand because of her deep asian accent -____-

[mbabitt]

You had me when you said that you'd use color chalk.

[jtgober87]

lol starting at 20:20 that chalk piece. haw haw haw im high

[ajax1992]

You know.. It always pisses me off that disabled people get the best spots.. Pathetic wankers.. I just hate how they always think that they are better than us..!

[Damithe909]

@ajax1992 LOL

[22evil1990]

@ajax1992 ur a stupid fag

[whomikejonesn]

9 people got placed in college algebra

[FacultyBob]

@whomikejonesn I got placed in BASIC algebra

[FacultyBob]

@whomikejonesn Im still in basic algebra

[SuperBlackbeauty19]

AMAZING!

[TheBustyGamer]

19:23

[vle1915]

Now if only we could solve Fermat's Last Theorem. Then, the beauty of math will finally show in this corner of the vast room of the unknown of pure mathematics.

By the way, this seems like the best, most interesting course since I took single-variable calculus!

[lsbrother]

@vle 1915 Fermat's theorem was proved in 1994 by Wiles. Or did you mean it would be nice to prove it on this course?

[thurlowj88]

Did anyone notice that his 'Rule' at 35:11 isn't even valid? For a start a curve is NOT a 1 dimensional object, otherwise how would it be a curve? If f(x) was indeed a curve then it would defy his rule, ie say there's 1 equation using 2 variables then he's saying that the number of dimensions in which the function lies is equal to the difference between them but a curve lies in 2 dimensions not 1.......

[alalpw]

@thurlowj88 explained after 1:08:50

[TheEsotericDesi]

I hated Math in school but in college it was the opposite...

[MW2taz]

notice that it is always somone moving or doing somting... no one can sit stil!

[Isirla0]

simple and amazing. I used to love math, but when I went to college it began to get bad.

[juiko3]

Thank God This Guy Is A Good Teacher

[RespectMyHate]

Why are people afraid of calculus?

[yessss26]

i love his handwriting!

[eshed888]

going to sleep i'm at 1:04:46

[rkplanet]

The lack of blondes in the room is strange.

[alanr14]

@rkplanet that's because blondes are stupid

[violetshadez]

@alanr14 lol not taking piss but blondes are thick im yet to meet an intellectual blonde girl

[DarkIye]

Greets the podcast at: 9:53

Starts outlining the course at: 15:46

Jumps into some maths at: 34:52

[chackshack]

Harvard>UCBerkeley



[RossKilgariff]

Nice to see a lecture that focuses on building an intuition instead of learning a bunch of disjointed facts.

[VaidasLTKL]

easy

[Gytax0]

@VaidasLTKL Lietuva.

[lindyblu99]

I wish I had a math teacher like him, then again I probably would not have passed my exams! Gorgeous!

[scar1z1]

sstrunks5555

From Russia

[sstrunks5555]

This is the most mysterious accent. Where is he from?

[brunettevideos]

Lol hes awesome

[DonLouiVer]

i want to marry a mathematician someday... i'm a nurse, but math fascinates me

[DonLouiVer]

do you have to take a Math course ...to take this subject? or is it part of a regular college course?

[alb12345672]

Guy is 100% Russian..Can tell by his accent and handwriting..

Just like the guy who started Google (Brin)

I used to teach math at the community college level and he is very good!

Charasho!

[Elamin008]

I think he is a Russian genius

[innersetful]

@nickykeiffer Check out the film "Rites of Love and Math" which this professor (Edward Frenkel) made.

[nickykeiffer]

@innersetful i wonder how i can get some help on cxc mathematics iu'll be sitting it may 2011.....thats wat i would like

:)

[nickykeiffer]

@innersetful 

[RockerBunny13]

he sounds filipino :)

[TelescopeAtNight]

@nickykeiffer You were expecting what from a calculus lecture exactly? Car crashes, explosions and scantily clad heroines?

[MrBigEnchilada]

i was guessing he was from an eastern European country maybe with some german. Anyways thank you for the uploads this is what makes youtube great....

free education.

[MrBigEnchilada]

i cant define t so that the circle moves like that, you know make the circle move in the clockwise direction....but i think it's something like this:

let 0 ≤ t ≤ 2π and x = cos(t) + 1 and y = cos(t) + 1

[chosuriki]

The guy is probably Ukrainian or Russian. Anyways, good to see more younger professors at top level Universities.

Man, lol virtually the whole class is Asian.

[JJBATEAST]

too bad you cant get credits for watching this video

[WontonSandwich]

mexican that can teach! 

[flopski]

@WontonSandwich Do you honestly think he's mexican?

[adoniio]

Low elementary ....

[ChevyVanDude]

Well, I don't take the time to understand it, and make mistakes because I simply don't pay enough attention to it, but this guy interests me.

[NightEldar]

русские решают.

[1800levso]

I spent some time doing a video game, and had to invent an equation to create an enemy ship which is moving and shoot at a moving object (player) wherever it's located, I spent like 2 weeks trying to figure it out, it ended up that I have to use square root, didn't have a clue what square root was or how it worked, but after this, I felt like I rediscovered square root. because I had to invent it,

[wubs23]

15:19 to delve straight into the mathematics..

[wubs23]

yeah.. in uni, only math lectures are always full..

because nobody ever gets it xD

[noonesflower]

yeah, if i had a calculus teacher as attractive as that when i was 19 i would have passed.

[exteenaw422]

i think i'm in love with him

[mariomaruf]

I don't like this guy.

He makes me feel uneasy.

[707castlemen]

Cool, I understood this first lecture, which is obviously a review of calculus; and i just barely took a pre-calculus course at a community college.

[sabah6704]

Im prof. in math.from KSA

he use many interesting methods to explain the solutions

[sabah6704]

very beautiful lecture

[sabah6704]

exellent

[MrMustard12345]

Why do the students ask such ridiculous questions?! Just go to the fucking website!!! Jesus

[AlohaBay]

@MrMustard12345 When a student doesnt ask questions because he is afraid of being ridiculed that usually ends in the student not doing well in the class.

[MrMustard12345]

@AlohaBay if a student is too dumb to understand some questions are best answered outside of class, they will fail regardless. They shouldn't waste other people's time.

[AlohaBay]

@MrMustard12345 Not true what so ever...

[draconite420]

usually math proffs have a good sence of humor

[McScappy]

I'm in highschool learning algebra 1 and i'm pretty bad but i just felt like learning calculas and seeing what it is.

[adkinsjr]

@McScappy

This is multivariable calculus, which is calc 3; So this isn't an introductory class.

[apotj12]

Time : 0:48:00 I don´t agree with your throwing the wire on the board. If you have the equation x= t-1 and y= t-1 you get y = x. Plotting the graph by calculating the points for t= 0,1,2 you get the values x= -1,0,1 and y= -1,0,1. If you now messuare the distance on the graph from (-1/1) to (0/0) you get sqr(2). But the delta in t from 0 to 1 is only 1 ?

[raoulhery]

do i look okay??? priceless!!! if only my teachers were like him

[GTXMAN]

lol,awesome proff .

[GTXMAN]

Is he russian?

[AlwaysAndForeverPFC]

@sebring103ca Mathematics is not pure, and is not precise. Everything that works on mathematics works with error approximation or prediction. It is applied math, in eastern Europe we learn theoretical math - this is something like when professor say to you "lets solve this equation", or "derive me this equation from scratch" but never told you why? This is reason why we can't do nothing with it practice. Lectures are great.

[floopsie666]

@sebring103ca Math is not precise. If you do not understand this then every single letter of your speech is utterly and completely worthless.

[dragonmaiden50]

Why can't my school have hott math teachers!!!!

[javisuck]

Tony Montana teaching math.....cool!

[Raven12377]

Dear Mr. Frenkel Good after noon. I'm a student attending high school and I was wondering if you could help me. For our Government project, that is due in one week, we have to explain how a bill is made. However, we must use an example to explain it. My partner and I wanted to do a 15 step math problem solution of an equation. Unfortunately, we were unable to find one in the internet. We went on Youtube and saw one of your lectures and knew that you would be able to help us.

[edwards21416]

frenkel sounds German

[ritacosgame]

Hi guys, i also watched this lecture. Frenkel is really a good professor and knows to do his job with wisdom and competence.

Greetings from Brazil,

Ritacos

[nirvana9872]

one bat, two bats, trreee bats, ah....ah.....ah.....ahhhhhhhhh­h

[Blazen1212]

Lol. The girl at 41:09 said Fuuuuuuck this!!

[Halvonis]

this guy is frocking fuuny lol

[andrewzhironkin]

офигенные лекции, спасибо

[stupidbydesign]

this guy is a good lecturer, but the course is so painfully slow paced.

[Aqulist]

What is this semester?

[CovertJazz]

@urbaneinspiration My guess is that you have no problem with how much athletes are (over)paid, and yet you think educators and researchers are overpaid?

[BangaloreanStudent]

Wow - I took 53 with Frenkel when they filmed it in Fall 09 - I'm one of the students in the 3rd row...

Frenkel was amazing - always clear and general. I'm now majoring in Math @ Cal.

Go bears!

[jeffstukas]

this instructor is a rock star

[PharaohDaniyal]

Mmm this is orgasmic. As a sixteen year old math-fag, I <3 this. My stupid highschool teachers are 2 noob to make me orgasm like this does.

[Schutzstafell]

@urbaneinspiration Wanna know why a plane doesn't fall out of the sky right on to your fat head? Calculus.. Physics.. Chemistry, etc. So his teachings keep you alive. Be grateful :)

[50poiuyt]

mathematical award

[amriteighteen]

This guy is such a cool teacher.

I would want a professor like him when I go to university.

[boot819]

Hows It 1Hour?

[hikeh101]

@boot819 tuesday thursday classes are 1 hour and 20 min

[zvijezdas]

Thumbs up if you watched it to the end!

[Creolebway]

math is easy. anyone can do it just put in the time. more time = better understanding thats it! stop saying+im not good at math blah blah blah.. thatas bullshit. that was my prob in highschool and now i just put in the time!

[pseudominds]

skip to 12:45 best part start...

[xBuscopanx]

can I marry this guy?

[J0EH3AD]

hellishly difficult topics

[infantileretard]

At 1:15:24 ...4x^2 + y^2 = 1 is still a circle

[clark3249]

@infantileretard

Hey that's an ellipse, not a circle.

[infantileretard]

@clark3249 Hey that's a circle, not an ellipse.

[clark3249]

@infantileretard

x^2 / a^2 + y^2 / b^2 = 1 is the equation of a ellipse.

In that case a=1/2 and b=1.

[infantileretard]

@clark3249 first of all, a = 2 not 1/2 in your expression. So x^2/4 + y^2/1 = 1 is an ellipse. Now look at my original statement below where I said 4x^2 + y^2 =1 is a circle - > 4* 1/4 * cos^2(t) = cos^2(t) ; got it?

[warhols25]

Wow ! This is what internet and YouTube in particular should be about ! For spreading science ! This Professor is cool !

[johnpeter4519]

Thank you very much for your great lesson.In 35 minute you are talking about the dimension.If three variables and one equation then the dimension is 1. If three variables and 5 equations then the dimension is -2.Can any one explain? Thank you

[MrFerdinandOo]

Блин как только я его услышал, сразу подумал небось русский. По его произношению понятно. У нас так на английском говорят на уроке))

[Shinigami135]

so this is what the first day of college will almost be like...

[ripsyd]

@Shinigami135 i'm so fucked....

[TheJacobAlley]

So, this is the best thing in the universe!

[wolf2010wolf]

I really don't understand this person got this job, he is not really good teacher, he is terrible. stupid

[autobahnguy]

russians are smart folks.

[naba63]

good work..thanks very much..prof is very good..as well as a young one..one request please specify the name that which lecture contains what topic,....

[hkpopfan4lif3]

aww dammit he doesn't teach summer session does he?!?

[MyOverflow]

This guy is awesome.

[mikess56]

dude click on the link this guys a porn star

[Gannondalf]

luckily, most of my lecturers at my university (university of queensland) are like this guy... young and interesting... im learning tons :D

[colin8696908]

what's nice about math is it not only represents the phisical relm, but based on it you can make perdictions without haveing to see the object in person.

[TeeEye84Plus]

I want to transfer here as a math student

[DNHshuffle]

is it real timespeed when he writes on the board? :D

[00oNotAnyMoreo00]

thank u!

[liberationn15]

I think I speak for the all the women in the audience when I say: dayummm. (;

[kubalskiy]

Хехе Как же он круто объясняет, я почти полюбил его лекции, буду теперь каждую ночь пока есть свободное время, выкупать соль каждой лекции..

[wesselbindt]

Amen to that bro.

[0121ryanh117]

@kubalskiy After translating that comment, I can say that this is the most non sensical thing I have ever heard.

"Hehe How does he explain the sharp, I almost fell in love with his lecture, I shall now every night until there is free time, to buy salt every lecture"

[skyfaze]

@0121ryanh117 LOL he loves his salt

[sirexium]

sure thing you can't post bad comments on Berkeley's u2b page. Well who wants to give it a go.

PS: use mathematical symbols while you're at it.