Big Picture of Calculus

[Khaquaize]

You cannot have negative distance, distance doesn't have a direction, its not a vector.

[warnexus]

thanks taking calculus this semester!

[merlan114]

MIT teachers and students seem so weird to me.

[Kangkong1996]

i contradict what he said at 17:58 a car goes in reverse when on the graph its negative under zero as long as its avobe zero its decreasing but not going in reverse duh

[Vetteify]

@Kangkong1996 no man, it is going in reverse. Think about it, he was at the position 50 at first and when the graph goes down to 20 means he turned around and went back or reversed. When it goes below zero means that he passed the point where he started, that's why it's negative then.

[Mets5273]

Ferris Bueller's Day Off a B move ?? ... was one of the top grossing movies of the year.

Speedometers should have a negative value? There is a difference between scalars and vectors.

For an MIT professor, the content of the videos from this specific individual have been quite lacking.

[dimmywaywes]

@Mets5273 no

[juanarruti]

@Mets5273 These vids are made to demonstrate the BIG PICTURE of calculus, so he doesn't go into the specifics or exceptions.

[therealitybeforeyou]

Dude this helps so much. I wish I had known this when I was actually in calculus -__-

[bebeheuy]

I am very happy to see the vidoe after you give this Calculus is about change. One function tells how quickly another function is changing

[AntoMelta]

I Really Like The Video From Your One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations

[willamricard]

Your Video Is Very Useful Sharing Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations

[imegatrone]

after i watched this video, my insight is very open because the video Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations is very good to give information

[osmannee]

bravo, bravo, bravo, bravo, bravo, bravissimo

In such simple speeking to explain a huge thing like calculus

And i like Your's comparasion with newborn babie

thank You professor Gillbert Srang a very much

[igotwoodhaha]

Blew my mind.

[SnowbordrWRX]

Calculus is completely useless. I've worked as an aerospace engineer for 15 years, even designing rockets. Not once did I use calculus. I only needed it to get my degrees, which I could've gotten in 2-3 years less time if I didn't have to take higher math. Outside of universities and teaching careers...calculus is not used. Case in point: you can't calculate the area under a curve in real life, because you don't know what equation of that curve is!

[tshenvideos]

@SnowbordrWRX

Just because you don't use Calculus very much, it is still an essential component of math, and involved in creating everything you hold granted today. I believe that out of all the math concepts taught from high school to college, calculus is the most relevant and logical. Sure, the real world doesn't follow exact equations, but calculus can help to find important behaviors that can condense something complex into something intelligible for us.

[mclaarson]

If professor Strang took the time to make this lectures then i will take the time and watch them.

[karlsmithbynre]

Wow, this man is wonderful. Well done.

[Snape525]

This the reason why i want to go to MIT

[nnostalgy]

great work

[t8nny]

I wish he was my teacher at High School!

[AntrikshDham]

now that is what i call learning.....great vids

[bryantgyt]

Thanks, I was looking for a refresher.

[damudread]

looks like 5 people just dropped college

[LaurelVentura]

Nice to see a maths lecturer still using chalk.

[violetmoonster]

I would love to study calculus if every professor's like this one.

[beltischamp]

Thanks for this lecture.

[yonatanalemayehu]

This is awesome!!!

[alexatlanta1983]

thank you sir

[ThinkFilmProductions]

very good explination, he really takes his time to explain every detail. Thank you Professor Strang.

[kritika427]

speed is scaler quantity curve wont go donwards

he is very good teacher

[kritika427]

speed is scaler quantity curve wont go donwards

[universalsailor]

Fabulous! Like being taught calculus by Jimmy Stewart. Worth going t MIT just to have this guy in the same room as you.

Don't tell 'em about the rabbit, Gilbert ...

[DNYAP]

Dear MIT, please clone this professor and put him on every public institution in the world, please!!!

[NotAnyoneSpecial]

I love how he asks a question to an obviously empty lecture theater with a camera about feris bueller's day off, its so laid back and relaxed xD

[juanlmesl]

@NotAnyoneSpecial no i think they have students there if thats what you mean.

[jazzguitar2010]

@NotAnyoneSpecial I know, it keeps things humorous. :-)

[WeedIsGood4Y0u]

I'm a grade 11 student studying Sin / Cos / Tan functions... which is going to lead onto Calculus.

thank you for this video it has given me a good advantage :)

[Coffeeisnecessary]

@WeedIsGood4Y0u Study, study, study! I am 19 years old, and I didn't have the privilege to attend Junior or high school! Now, I'm in college, and I'm barely in elementary algebra! X()

[nkvd1000]

Many Thanks!!!

[alisaffah]

THANK YOU PROFESSOR VEEEEERY MUCH

[1965Richie]

PS. I think I get it now. The area under F2 gives you F1 and conversely F1 gives you the area under F2. Some of us are SLOW learners ;-)

[1965Richie]

In the last few minutes Gilbert mentions integration. Does he means the area under the line in function two equals the area under the line in function one?

[imost111]

Calculus is indeed about change... I found Prof. Strang's intro textbook online many years ago and was immediately captured by this beautiful, proof-based reasoning that was completely unlike the 'calculator maths' I was used to in school. Soon I'll graduate from college and begin a PhD program in applied math. Thanks Professor!

[rampriyadarshini]

wow...these lectures really make me love mathematics as never before!i feel like killing myself and my math teacher for blindly studying calculus in high school :p .I'm glad i found it now.thanks MIT and prof gilbert strang!!!!!!!!!! :D.

[ramartin1961]

He has a way of knowing how to describe concepts than are clear and allows you the time to absorb the ideas.

[shadygrady1000]

Wish my Math professors were like this guy. Might have made Calculus tolerable.

[SpoiledLogic]

i want to go to MIT!!!

[SpoiledLogic]

y is your wealth, and s is the rate at which the bank takes your money

[1904home]

this is absolutely amazing that we all have access to these wonderful lectures. i took most my math at uiuc and always wondered what lectures in math would be like at MIT.... love it.

[yeahmoik]

G. Strang?

[Ebrech]

@yeahmoik Hahahahaha 

[gustavoipassos]

I do not speak English very well. The subtitles are terrible ...

[Howii3]

aside from his camera awkwardness he is amazing; and that will even get better with more videos. thanks alot!

[chieftanzzz]

Thank you very Much... Very Helpful

[eogele]

Dude right on the money. The average baby is 19 - 21 inches!

[hyppcheng]

thank you so much, this is the best

[DatDiss]

thanks Mr.G. strang

[redteamdarkspear]

FERRIS BUELLER'S DAY OFF IS NOT A B-MOVIE.

GOOD DAY SIR

[matthewrtate]

@redteamdarkspear And you are not a professor of mathematics at MIT! I guess you are not itelligent and unable to understand the real value of this video.

[CarlGaussX]

old professor = nice mathematics

[MrNathanShow]

I would donate but I'm only 13. Thanks for the help

[caffeininja]

Any professor who stops his own lecture to talk about a scene from one of the best movies ever made is awesome as far as I care.

[aljonloveiguibone]

Thank you so much Prof. Strang... God Bless You!!

[jayjaymires]

Great lecture for introductions, refreshments and general interest in Calculus. Professor Strang did an amazing job, Thanks!

[fallingstarblues]

Whomever voted this video down must be some sort of awful individual that cannot see the beauty, clarity, passion and importance of having calculus be explained by such a phenomenal instructor like Gilbert Strang! I cannot imagine anyone not finding this invigorating!

Thank you making these brilliant videos! Your love of mathematics and teaching is inspiring!

[rsplenum]

Sir, you are doing public service with these lectures and I am so grateful to you. Though I already knew it but still watching these lectures enriched my knowledge now I've learned something I will never forget.

Thonk you.

[davidthefat]

Now this is why I want to go to MIT or Caltech... They do 100x better job at teaching you than at my highschool...

[bobocsabin]

Thank you very much Gilbert Strang, thank you very much MIT !

[orbiter8]

I still don't know what he's on about but I'm going to watch it again and try to grasp it. What a top guy though, he is definately 100% commited to trying to help people understand. You can see it in his eager enthusiasm. I'm going to watch this chap some more and imagine I'm back at school. I'm sure I'll learn more from him now (at 43yo) than I did back then.

Thanks Mr Strang

[shazaduh]

simply love it!

[moseseseseses]

A very sweet natured chap, and you can tell he is so sincere in wanting and trying to help people understand calculus. It has been rightfully said that : MANY A CAREER HAS BEEN CRASHED UPON THE CLIFFS OF CALCULUS. I wish this fellow would have been my math teacher in high school. I went to the principal about my math teacher, complaining about him that he could not explain algebra good enough, but I bet you know already who's side the principle took on the issue. He took the teacher's side.

[yogw439]

phenomenal job.

memorizing a formula is meaningless if the students don't thoroughly realize the logic behind it. this sets you apart from other professors. a great instructor will indeed stress the importance of the Big God Damn Picture, so meaningful connections can be made as the math gets increasingly abstract. the bad ones neglect the foundation completely and simply begin construction. eventually the structure collapses and kills the student and his dreams of graduating summa cum laude

[climbercaver]

I wish I had access to a teacher lie this in person or through videos like these when I was at university in the early 1980's. This is really great. Thanks to everyone involved.

[lindosay]

Dr. Strang is an amazing teacher, he has made calculus a piece of cake for me. I would love to take the opportunity for taking the time to put these up.

Thanks, Lindsay

[tuberALEX]

Not my type of teacher...

[paradigmshift03]

This was one of the most lucidly explained calculus lectures I have experienced. Many thanks Prof. Strang!

[izadk]

Professor, You deserve a Nobel Prize... You an amazing teacher!!!

[kwilliams1958]

Dr. Strang,

You are truly an amazing teacher and perhaps even better human being...

[sawy1989]

velocity account the magnitude and the direction while speed account the magnitude only velocity meter has +&- scale while speed meter has + only for the absolute of a scaler quantity, cars use speed meter not velocity meter that's all.

[bjserrato]

@sawy1989 But it's still a fairly good example.

[rudolfvenema]

Wow, this was really helpful! Thanks!

[CSRealist]

Excellent. My biggest issue with math had always been the disconnect, or the poor teachers who failed to make that connection, between common concepts and higher math.

[panzer005]

斯特朗教授讲的很好，他把复杂的问题用简单的例子来解释。大师的­讲课总是深入浅出的，这一点，是我大陆高校的教授们所不能比的。­

[panzer005]

斯特朗教授讲的很好，他把复杂的问题用简单的例子来解释。大师的­讲课总是深入浅出的，这一点，是我大陆高校的教授们所不能比的。­

[Hannibal2earth]

thank you Professor Strang...... (from Germany)

[tetranoob]

I think we should start with the simple question........ Why do we need Calculus? give some real world examples. Mathematics exists to serve a purpose

[shayorshayorshayor]

ok i dont get it.... why does people judging and critising the proffesor.... why cant everyone just try to learn instead of ..oh this guy is and that.....like all proffesers arent gonna be the same..... like jheesh

[TheSafecracker777]

Take the red pill

[Rasheed1513]

Thanks so much, you dont know how much you've helped me!!!!!!!!

[paisis123]

if its about change....ITS OBAMA!

[themanisheab180237ce]

haha i love this guy, had a big smirk through the whole lesson!

[prdrer2]

for me integration is general form of multiplication and derivation is generalized division..

it is enough mind boggling to say: calculation is about relationship of functions, as this guy puts it

[xXxDANMANxXx]

i know most of this stuff and i kinda skimmed the video but he makes it very easy to understand

[Sk82beast]

He got it all figured out..

[ketbra1]

Well done!

[aashishcy]

this is fantastic.. I know calculus.. but even then seeing this video is learning as well as entertaining.. thank you MIT and Dr Strang

[ThunderAppeal]

This is a very good instructor, I wish there were more instructors like him. He has a certain humorous light hearted personality and a similar approach to mathematic. He has a knack for keeping the intellectual aspect of mathematics accessable. This professor is a credit to his profession.

[wingedsoul]

@ThunderAppeal

He is a good professor, wish I could learn from him cuz he just seems to love teaching and wants to help everyone understand.

[egeneral27]

great lecture professor

[kphzorz]

he really is a lovely professor

[Wrdlbrnftey]

great as usual

[PlutonGB]

the eye is very distracting, but it's still a good video

[CtrlAltDe1337ed]

hey, Professor Strang, thanks for taking the time to make these clearly explained videos.

[edtronic]

Ja ja ja ja ja he is cool