Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007

[roofrepairhq]

Have no idea of when you know - you are typically widely recognized !

[1Deejay7]

I'm smart.

[hatfieldlainall]

Fabulous yt channel as well as interesting movie films ...

[TurboBusinessPro]

We are in work at this moment looking at your new video tutorials ...

[LanRous]

guys i have a question

if we have something like this one -->

f(x)>x^2 +e and this is true for every real x

Can i differentate this and say

First derivative of f (x) >= 2*x ?

Please i need help on this one

[climbingLynx]

@LanRous not for all f(x)! for example is not true for f(x)=x^2+e+2+sin(x)

[qwqerty12345]

@LanRous did u mean f(x) = x^2 + e?

[LanRous]

@qwqerty12345

I meant (>)

This was just an example.I wanted to ask if it was possible to differentiate

things like f(x)>g(x) and have still the >

But after some thinking i understanded that this canNOT happen no way because the fact that f(x) > g(x) for every real x means that the graph of f(x) is higher from g(x) for every real x.But f derivative represents the slope of the tangent of f at x, giving us the monotony of f.Hope you understanded what i mean.Also thanks for the reply

[acswaterproofing]

You're creativity for my personal daily life .

[daymont1000]

Если б,я еще хорошо знал english!!

[howmuchforroof]

Positive film

[Kirakonea]

All your encounter is seen inside of your main training videos !!!

[nutridopolska]

Last but not least definitely not poop high-quality movies ...

[exofficerr]

niceee

[kokalol7]

check out great books at fmafocus.com

[Brittanionf529]

MIT is the best...

[problemagris]

i am argentinian. thanks.

[Frycek216]

There's a very specific notation for the junk xD

[191553980]

外国的学生没中国的聪明。

[submelon8]

chalkboard...really? wheres the smartboard, or atleast an overhead projector... jeeze

[SpineShank7]

@submelon8 How is that necessary for education?

[icl0udn3t]

i will be a new student form now on.

[Taher1440]

i'm tunisian estudent,

[morequickerly]

"Less Steep" was a bit of a confusing word to describe a straight line.

I always thought of steep being like a lines angle to the ground.

I guess here he means height tho

[ligaluga26]

ich versteh es nich Mein kopf macht BOOM!

[1aMattes]

@ligaluga26 Guck mal hier watch?v=4u0N9Srb3XY

[ligaluga26]

@1aMattes Haahaa is ja ekelhaft :D

[Crash0age]

WTH!? 

[teaitout]

does anyone else find this fun?? its 2:30am right now and im watching this... (i think this means i have no life) hahaa

[febalj]

man! this is why i dropped MIT and went into business scool. this is way to hard to figure out.

[DGMedonja]

@febalj I'm 16 and it's fucking easy.

[eadomino2]

@DGMedonja it's only for up 21 yo

[DGMedonja]

@eadomino2 Sure, in AMERICA. They are 6-7 years behind Europe.

[Babai24]

@DGMedonja your'e a hero.

[1QaJh]

Мы в школе практически то же самое проходили.

[yahye41]

god

[MrFangRui]

I have a question. Why does he let the limit be delta x to zero? Can it be done with the limit being delta y to zero?

[jshowa6]

@MrFangRui Moving horizontally is considered the x direction, and y is dependent on x. Since the derivative is the slope of the tangent line, then we take the value at x0 + delta(x) (i.e. y(x0 + delta(x)) or f(x0 + delta(x))) and subtract it from y(x0) or f(x0) and divide it by the change of x (i.e. delta(x)) to get the slope. You take the limit as delta(x) -> 0 in order to shrink the delta(x) to an infinitesimally small value to acquire the tangent line at point P.

[jdy44s]

q pregunta tan básica minuto 24

[sadiahumaira]

do people still use blackboards.?

[Razvvannn]

I love the sound of chalk on the blackboard in the morning.

[legenden101]

he writes super fast :D

[edivaldodmenezes]

Muito bom esse video.

Estou amando.

[azwan1992]

cant believe i watched it fully

[Astamalana]

i don't understand people QQ'ing about the blackboard. Math on powerpoint ? really ? lol

Never seen that. Math is a science where you need to be able, at any time, to demonstrate any calculus you make. I don't see that happening on a power point.

Beside, doing the demonstration forces you to explain it, which is better for understanding.

[Demizide]

@Astamalana Ever heard about whiteboards?

[zajob1990]

In Poland we call calculus mathematical analysis, and it's trivial.

[SpalkTheKing]

poor people

[tomgamble07]

i would of though MIT would be able to afford a electronic board

[Enfirnity]

if you are a random person like i am, which has nothing to do with anything of the information given in this video, like i am (i am a chef in a restaurant) you think to yourself, WTF IS HE TALKING ABOUT!!? and i watched this 10 fucking minutes ....

[fsfsto]

man wtf ?! i've seen this video over a billion times each weak it get posted again and again and again /!!!! why the fuck are they making copies of this stupid video 1 fucking video is enough!

[zobazoba69]

This professor is not the best I've seen on youtube. Not that he doesnt understand what he explains but his methodology is not essentialising the obscure concepts. First, he should have discribed the slope as delta x on delta y....( why f(x))?...or the obscure equation y-yo= m (x-xo)... could have been easyer as m= delta x/delta y....

[TheJPR993]

@zobazoba69 see first youself before judging others as if your better than the professor, shame on you idiot. upload your lectures to so that well see if which is better.. your just a big mouth idiot..

[00001k1]

@zobazoba69 mal profesor, explica las ecuaiones de forma mecanica, es mejor aprender en la casa.

[neuromonic]

@zobazoba69 Because this is single variable calculus, not algebra.

[GowanBray]

@zobazoba69 Yes that would have been a better description of what gradient actually is

[jshowa6]

@zobazoba69 Its very simple f(x) is used as a generic term for any function. It is the most commonly used in mathematics, whereas y is more specific. For example, y can be velocity, acceleration, temperature, etc. but in math you always want to go for a more generic term. Not to mention, y isn't a function, its a variable. I can understand the confusion, but mixing notation doesn't make the professor bad.

[jhony171rox]

QUEM ENTROU NO VIDEO SÓ PQ TAVA NO DESTAQUE E NÃO VAI VER ATÉ FIM QUE NEM EU Joinha aki .

[asdfasdf825]

39 people have MBA's.

[Shrumins]

He looks like Mr. Earnie from my 10th year. He was cool.

[supertincho18]

I dont know about the rest of the course, but this looks too easy... in germany start level is much harder than that....

[zazzolina]

@supertincho18 in italy we do that in highschool...and i did that in highschool too while i was in the US... i guess it just depends... but if it's a beginning class..maybe it's better to start from the beginning.

[re4lize]

This is the legendary M.I.T startlevel ? xD ... lol ... stupid americans!

[dvpvp]

@re4lize This is the starting level for say, music majors, and those who weren't fortunate enough to have calculus in highschool. Most people who go to MIT start way higher. How about getting your head out of your ass before calling out an entire nation.

[zazzolina]

one thing that's funny though is... why in the US all the men wear that type of pants? Seriously! :D

[LeRoiZed]

@zazzolina

No money.

[zazzolina]

@LeRoiZed no money?

[LeRoiZed]

@zazzolina Nice pants cost money, they don't have, because they spend it in research. So they buy cheap pants. Or something like that.

[zazzolina]

Well i like this blackboard thing.... and if i am ever going to teach i will keep this in mind... as a student or follower of the lesson...life is easier when things are written like this... it gives you the time to write down what's saying and also writing...the board goes up and stays there if u're slow..and he makes right at the time what he's explaining...it makes it understandable.A power point slide is always fast, done, and the person who's explaining, most of the time, just reads it.

[GowanBray]

What is better is a power blackboard, motor driven, stacked 3 or 4 high, so you can run up several boards easily and they can be seen by a large lecture theatre (say a 400 seater)

[zazzolina]

@GowanBray Well ok .... allmighty America :D.... we don't have money to finance research... i think it will take a bit to have Motor driven power Blackboard... :D Anyways a blackboard is a blackboard...the basic ones are fine.. all u need to know ...is what to write on them..and somebody that understands what is written ;)

[Origin211]

what ages are the students in the class?

[jaffarm]

you would have thought MIT could do better than an old style black board.

[simsohi]

@jaffarm never dis' the old black boards! haha, I love those things

[K2Finality]

It's not hard once you wrap your head around it. The only thing that gets me is when the prof is on a roll and explains things really fast, but that's why he takes question breaks so that students can ask for a re-explanation.

[TR0L0L0O]

yo dude we have this thing nowadays called powerpoint..

[nosnad88]

a blackboard with chalks & dusters ... haven't seen one of these in some time !! ...

Surprised this lecture doesn't make use of whiteboards / powerpoint

[SirBrodzik832]

Will it blend?

[sianghan]

I thought MIT students were smart?

[ojogador2006]

great teacher, great class, but the students ...

[ojogador2006]

I thought MIT students were smarter

[OrphanPaper]

so the apple dose fall farther from the tree''s original point ,lol

[keithl28]

Cool video

[travianbite]

This is easy in comparing to our Math :p and with only one variable :D

[blazuhhh]

Xo = at the intersection of the Y and X axes. He should have used an other symbol or letter whatever.

[chowbaomao]

To all the braggers: Just because you learned it at age X before university doesn't mean you're any smarter. This course moves fast and will cover many topics within 3 months. I highly doubt you learned half of this course in a HS semester, let alone all of it.

Keep in mind that not all HS schools offer calculus classes; this is a university's way to "standardise" everyone's skill level when they go to uni to ensure gaps in math are filled..

[Layz613]

@chowbaomao While I agree that learning this at an earlier age does not make me smarter it does stand as a testament to the american educational system.

[Senata1108]

I am spanish and I don't know a lot of maths, why am I seeing this video?

[IndigentiaSumEgo]

@Senata1108 Because apparently you're a dumbass.

[Senata1108]

@IndigentiaSumEgo no, because i'm spanish and i'm only 16 and knew English but not understand the math shown in the video

so fuck you

[PeterRsquared]

i wish school was like this...being able to fast forward through it, pause it, mute it.

[MrPineappleSlayer]

He forgot to carry the one...

[SICKILL108]

thats why we gona fail...because we give to much attention on bullshit in order to get highpayed jobs whitch the wold dont need...the function to say that is easy: PROVIT UP-PLANET DOWN

[SixxxtySixxx]

I like turtles

[sabrePulse100]

why a chalk board...

[MyRealDad]

forget about the maths im impressed by the red colored chalk O.o

[oczedragofly]

I just came to see the top comment XD

[NiocoNiO]

I am grade 9 in germany and I have understand a lot

[bmcilhone]

@NiocoNiO Then find me the derivative of (45X^5)+144X+15+(1000X^3)-(4X^­2)

[LeRoiZed]

@bmcilhone It's easy : 5*45X^4+144+3000X^2-8X

[kutuzov0]

А певица Пачуля училась в Америке?

[elhipoteticoejez]

Thanks a lot MIT!

[coffeecoffee99]

they r too easy comparing to what they teach us in KFUPM

lol

[coffeecoffee99]

they r too easy comparing to what they teach us in KFUPM

[andrewsomerville298]

this dude must get paid soooo muchhh

[mrwideboy]

Does undergraduates in the us only learn about calculus when the reach university at 18, in the uk we learn't about it a 15

[12ryryr345]

@mrwideboy Well we done this at the start of september and im 16. But yeah i know what you mean...

[TheUtubeTrasher]

booooooooooooooooooooooooooooo­ooooring ლ(ಠ益ಠლ)

[Baluundmogli]

42 i think so...

[GalaticDrummer]

15:35 ta errado aquela conta ali.

[HeisenbergSaysIWON]

eh?

[IMnineonetwo]

chalkboards!

[swizzbeats1212]

1 minute in and I'm bored fuck this..math is lame.

[007seppy]

man we learn this stuff in great 11-12 in Germany

what semester is this

[Prodi1989]

@007seppy so schwer kommt mir das auch nicht vor und ich bin 10. real :D

[007seppy]

@Prodi1989 ja kann sein wobei ich eher glaube das die uni gerade erst angefangen hat und jetzt noch mal alle grundlagen wiederholt werden

[cody12345249]

Why am I watching this ...

[ludobiko6]

@cody12345249 los ves porque los numeros los llevas en el NOMBRE de usuario, lo llevas en la sangre y no lo sabes jajaja

[undyingapathy]

Some of you are really a bunch of douche nerds to be quite frank. So you knew this stuff back at HS or form 6, woop di doo. You do know that there have been many boy geniuses who knew this stuff too at the age of 8 and were doing serious shit like number theory by the time they're 14? Don't ever think you're hot shit.

[igordz]

why is it that i learned half this shit in the 11th grade? ....

[Insanity0107]

@igordz because we are european?

[igordz]

@Insanity0107 yeah true. i still sucked at it however

[neogeo328]

Had I had a teacher like this in my first year of calculus, I would never have taken any more math courses and never would have majored in math. He writes too fast and explains too fast. As well, if I were taking calculus for the first time, and it was in this class, I would be confused already, not knowing what a limit is!

Having seen this, I feel fortunate to have had good first year calc profs, and a good one now for my second year.

[HOMEnHIGH]

@neogeo328 ...when you've snorted enough cocaine that you start speaking like Mr Rigsby off of Rising Damp...thats the "limit"...

[neogeo328]

@HOMEnHIGH Wait, what? I know what a limit is, but I mean if I were starting from scratch in this class, I would be confused already.

[HOMEnHIGH]

@neogeo328 ....oh thaaat limit...my bad

[TheMaskShow777]

I came looking for strippers and cocaine

[wellifreund08]

@TheMaskShow777 xDDDD

[HOMEnHIGH]

@TheMaskShow777 ...you'll need Harvard for that..

[IIINemesis]

I ♥ MIT

[Slanothy]

Derivative 10-11th form in Russia . Easy-peasy piece of cake

[Gunbardo]

wow, this is the most basic in my country for secondary schools! we did this in Cambridge's o'levels examination a month ago.....

[JohnyAngelo]

This is high school stuff in my country.

[iwillsubmitnorthing]

@JohnyAngelo it's just the first class. he's probably just recapping what they already know

[Michciu0911]

Why students do not participate in the lecture?

MIT is probably the best technical university, but the way of teaching which lecturer shows isn't good. Maths requires talking about the problem and solving it together. The lecturer should ask student what to do in some examples.

It's the the best way to remember most from the lecture.

Greetings from Materials Engineering faculty from Warsaw University of Technology

[JohnyAngelo]

@Michciu0911 I havent experienced any "interactive" math lessons on Brno University Of Technology either. And as you can see, it's not america. But in fact, I have a feeling that teacher has always just... too much to say that he/she hasn't want to be delayed ...

[Michciu0911]

@JohnyAngelo It's the worst thing when teacher won't be delayed. He or she wants at all costs finishes subjects before exact date. I should have been happy that my maths lecturer reserves how much time he wants in compare to other teachers. Maths is the most important subject at technical univeristies.

[neuromonic]

@Michciu0911 Because advanced students don't want to sit around why the slower students plod through a problem. Do homework on your own time.

[GowanBray]

@Michciu0911 That's what tutorials are for. (Sessions with graduate students). Hi from NZ

[jshowa6]

@Michciu0911 A possible explanation would be the fact that this is the first lecture of the beginning math course and I can almost guarantee that all the students in the class have seen this from high school due to AP.

[HarmonieWevelgem]

10:37 "the queue is getting closer and closer to pee"

[HarmonieWevelgem]

10: 37 "the queue is getting closer and closer to pee"

[79michali]

Its quite understandable when your english terrible like mine is;-)

[TaMoPerdidoMsMo]

what hell is that

[pylyp123456]

@TaMoPerdidoMsMo math

[BBFvids]

tbh I prefer blackboard or whiteboards in math classes. it makes it easier to take notes.

[captainhomie]

now i get it!!!

[guitarhamster102]

Pretty easy material but I think the professor makes it harder than it really is.

[ZealDaan]

Yay, free college!

[TheGuerrillero36]

Im 14 watching this What the hell was i thinking

[RafiRafi0000]

@TheGuerrillero36 about your future perhaps? :p this is the easy stuff. lolz.

[apl175]

Thank you to whoever did the closed captioning (subtitles) on this - tedious work, but very appreciated.

[TheGuyCodeName720]

I fell asleep to this...



[ameenmutha]

Who cares?

[fringeelements]

So... why do people pay to go to college? Why not just watch it on youtube, download the textbook, and take some standardized tests? No college bullshit, learn at your own rate. You could learn so much faster too.

[IndigentiaSumEgo]

@fringeelements Because, unfortunately, most jobs in the industry require some form of degree dumbass.

[crisco21c]

"Any f'n know" sounds more like "Any f**king thing you know"

[hugo9944]

what if someone fart

[emir5528]

No entiendo ingles. Pero si las letras y numeros. Por lo visto lo explica muy bien.

[17MrLeon]

Im in wierd part of youtube again. 

[brieatsyou]

OMG. I LEARN THIS WHEN I AM 15 YEARS OLD. SO SIMPLE. WHY DO THEY EVEN TEACH THIS IN MIT. ITS SIMPLE STUFF.

[madmick82]

how did i end up here and why am i still watching it?

[flavcanlobo]

goood one

[ALEX250692]

Shit son, why pay that 50k a year when you can have the same stuff on youtube for free ahahhaha

[onlyoneskiez]

@ALEX250692 should have already learned this in highs school.

[jshowa6]

@ALEX250692 Because people don't pay 50k a year to take just a calculus course. They pay 50k a year for a degree and a rock solid education for use in their future careers.

[ALEX250692]

@jshowa6 sure, and you can wipe your ass with that diploma in these times. If you are good, you can be a big shot without even a uni diploma

[jshowa6]

@ALEX250692 Well, that's the point, I don't have to be a big shot to get a decent career. I, and others like me, have a passport to any technological business in America. And hopefully you'll understand the fact that it is extremely rare for anyone to get anywhere without a undergraduate degree.

[jshowa6]

@ALEX250692 Not to mention that "diploma I wipe my ass with" is proof that I have the knowledge, skills, and work ethic needed to perform a job.

[OHYEAHDUDES]

Man I love chalkboards n the sound the make :D

[Alyssoo]

@OHYEAHDUDES yeah, is nice to sleep

[findnpost]

I skipped to the end and he started talking about his JUNK. Shall i report him? :P

[lionleobow]

Ive learnt this is school but we don't use delta x. we just say it very simply this just made it confusing.