Big Picture of Calculus Instructor: Gilbert Strang ocw.mit.edu/hig... License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms More courses at ocw.mit.edu
Fuck yeah! calculus the old fashion way. A really smart, qualified teacher and a dusty ass chalkboard with chalk. No overhead projector, no lecture notes, no iPad bullshit. Just straight into the work. Congrats Dr. Strang.
As a 30-something who just finished intermediate algebra and got hooked (breaking a lifelong math phobia), this video really gave me that "lightbulb moment" epiphany that calculus is not some alien code, but rather something I could learn and understand. It motivates me to delve further. Thank you Mr. Strang, for your time and enthusiasm.
Yeah, people make algebra sound hard, trig worse,and calculus impossible. Don't listen to them. They just didn't put in any effort so they couldn't understand this without the basics of algebra. It doesn't necessarily get "harder"
@grovermatic , I relate to you in some manner. I wasn't taught to embrace math and I darn struggle, but this lecture was refreshingly more simple than I thought ever!🌟 I have the book of newton's principia , (pdf) this teading is awsome, and this professor is great!😄👍 Let's all keep learning!!🤓
If you're cramming, or in need of a quick crash course, I'd like to give you a small helpful hint: professor Strang's pace becomes quite nice if you speed the video up to 1.25-1.5x :)
Professor Strang is one of the many reasons why MIT is the best University in the world. Not just the best in leading technology research but because of teachers like this. I had some physics teachers like him. Professor Lewin comes to mind immediately,Dr. Barrett.... I apply what I learned in your classes to my plastic surgery work now. The simple stuff to be sure; vector calculus and Newtonian physics, yes. Its easy to break new ground in your chosen profession when you leave a place like this. Thank you, MIT, Professors Strang, Lewin , Barrett et al... I am forever indebted to you. Thank you.
I wish I could tell this guy how appreciative I am of him doing this. Considering he had no obligation to do it, and these are the kind of videos that I learn the most from. Not just learning formulas and solving 100's of problems, but understanding what they mean and why they are important. Great lecture series.
These kinds of videos always have a bit of a bitter sweet taste. Sweet because here you have just a great teacher and MIT is sharing him for free.But how can you not feel bitter that not every teacher is as great as Professor Strang?
For me It takes physics to truly understand calculus. When I took calculus I just memorized what I need to do. I did not know why. When I took physics I finally understood why I did what I did.
can you say what it was in calculus that is a benefit in physics?? ------ I wish both subjects - maths and physics.. had cross - pollinated .. they could have done the same example - from a use in physics ...add that example into teaching/showing calculus : here's how it can be applied
..see the other MIT videos; isn't it amazing that MIT still uses these traditional blackboards and chalk instead of the "more modern" white boards or - GASP! - the hated PowerPoint slide. Somehow reassuring.
Wabi Sabi using powerpoints is a serious crime and the person who does that is a criminal with power points there's no interaction no conversation no humanity It's a sin
I know nothing of calculus except basic algebra courses and I understood most of his explanations. True talented teacher he is, shows that it can make or break a student, he makes is seem so common sense
Many math teachers are "wicked smart" but not many, in my experience, are good teachers. Prof Strang is not only "wicked smart" but he is funny--in a quirky way. Thanks for the lecture.
Gilbert is amazing. I remember one course i took where my professor was so bad. He could write two boards full of math and end up with 2=1 haha. I had to stop going to his lectures. It just so happened that all the topics we read were in a course gilbert taught that was available on youtube. I passed the test even though english is a foreign language to me.
I love you sooooo much Prof. Strang!!! This lecture is illuminating, fascinating, inspiring and amazing! I have finished Prof. Strang Linear Algebra courses, onward to Calculus! Can't thank you enough Prof. Strang, you are changing people's lives. What a great gift to humanity!
Thank you for posting this to try to help people understand. I've been out of school for a while, so this is helpful. I always appreciate when people are generous with their knowledge.
Some people are discrediting this mans teaching ability. It is very displeasing knowing that public education is a complete joke and most are starving for a professor who can get a point across. This man is a marvelous instructor, and made the subject easily understandable for someone who has never taken a calculus course. P.S. If you cant do better or teach at M.I.T. Shut it!
I enjoyed this lecture very much, but I believe the graph represents displacement rather that distance. As distance would increase when you were going forward and backward (17:25), but displacement would not.
This guy really loves his job. Great video. I'm a really big math nerd. I'm only in AP Calc 1, but I just love math. It's art. And I really enjoyed listening to this guy. Great vid.
I am your great fan of your lectures on Linear Algebra .It has helped me a lot in Image processing Course. And your book on calculus and Linear Algebra is really appreciable and makes image in the mind of the concerned subject. Thanks a lot for this contribution to mankind.
Really happy I came across these videos. I'm a college student majoring in computer science that has yet to ever take a calculus course. The last math course I took was the precalculus algebra and trigonometry sequence. These videos that Professor Strang and MIT OCW put up really makes me less nervous about the calculus I'm going to have to take in the future. Cheers!
+Brian Fassbender You're very lucky! I managed to go through my whole Computer Science degree a decade ago with only a superficial understanding of calculus without understanding the context of it all.
I'm a geezer, though also a 2nd-yr grad student in geology who took math classes so long ago that I may as well never have taken calculus. I actually remember algebra, but calculus was never really there to lose. Considering how geophysics is mostly equations, I'm feeling better as Dr Strang explains the basics. Many thanks for this video series!
I'm taking calculus my next semester! I have currently completed Algebra, Geometry, Trigonometry, Ap Statistics and in the process of completing College Algebra. I find that its mainly about reading and interpreting graphs as well as understanding the true meaning of functions and how they work in the concept of real life. Well Calculus here I come! :)
Thanks Professor Strang, MIT and You Tube for this video. It isn't easy breaking laymen into the field of calculus, but at least he makes it interesting, with the sparkle of hope we can understand why calculus is so important in its applications, and more importantly, how to (eventually, as I am a newcomer to this field) use it.
It`s been said a genius can make something complicated simple. It`s a fool that makes something simple complicated. I like this professor And wish there were lot more like him.
wile richards subjective opinion, but being able to explain things to the lamen is a good skill I must say. Still gives you no right to be an ignorant simpleton.
I graduated from 9th grade remedial math with a 65 . This was after having to take a intelligence test because the school thought I was mentally challenged ( It was not called that back then). The results came back with a score of 135 . After that they did not pity me anymore but kept telling me I was not applying myself . Reading and history I aced even to the point in history the teacher would let me read dirtbike mags because he knew if the class could not answer a question , I would raise my hand an give the correct answer . They even put me in a remedial reading class that on the first day when the teacher had everyone read to know their reading level , I had to fake like I could not read . After the class I showed her I was not in the right class . My father used to work with me at elementary age with flash cards to no avail . They even hired a math teacher as a tutor ,Still no good . I am 64 with a self assessed math level of maybe 5th grade . What happened to my math ability ?
Superb lecture. Altough I have to point out that we cannot have a negative speed since it only have magnitude and not direction. Velocity, on the other hand, is a vector quantity which means that it has both a magnitude and a direction.
Meh, a negative correlates to our common sense of a vantage point, preference or special case. When cars brake we know they're accelerating backwards, but it's a different pedal which to our worlds deserves conditional notation.
Thank you so much Professor Gilbert Strang and MIT. This was explained beautifully so I now understand the concepts better. Will watch more videos with him here. The open courseware here and Khan Academy is really lovely. Liking mathematics more and more as time goes on thanks to videos like this.
I would have loved to be taught by a teacher like him. Thanks a lot. I am just watching it..and half way through (just wanted to comment though)...have a better idea on what i have been questing for years. Thanks again.
Brilliant; you activated my neurons - well, lack of neurons-, on this subject since I'm naive about it. But now I don't see it as difficult as before, gives me the desire to continue. Thank you.
Hold on solving for at, d which he put in would have to equal 2...which is being multiplied by f/t. Got it now. it could also read 2(f/t)=at. or 2f/2t=at.
I thanks the efforts of this guy who rally loves education. His dedication to this noble ideal is worth so much that along the way I have learned calculus without much effort do it to the cleverness of this guy
Speed is simply how fast an object is moving. Velocity on the other hand is how fast an object is moving and in which direction. So there cannot be negative speed because the direction does not matter in speed. Rather there would be a negative velocity because he the object is moving in a negative direction at a given speed.
17:30 don't be confused guys about how the distance decreases because it's not actually distance . that's called displacement and it's scientifcly wrong to call it distance ^_^
19:45 - This also becomes an interesting issue with utility meters. If you build an electrical meter without thinking about this issue, it is bidirectional and measures the net energy consumed, subtracting any energy during the time when power flows out of the facility. It doesn't end up counting lower than zero, but it does count down. However, people discovered that they could flip the device upside down, and rig the system. Then, the meter manufacturers got sophisticated. They built the conventional meters, so that they accumulate kW-hrs in the forward no matter which way power flows. If power flows either direction at any instant, it counts energy forward. For facilities that are given specific permission to backfeed the utility with distributed generation, an approved NET METER needs to be installed.
I still have nightmares about college. Im still in class listening to some like Gilbert. This may be very imformative to some people but its spooky to me.
at 34:30 he states that speed = acceleration multiplied by time; however acceleration = speed squared and the area under the line cannot be one half times speed squared times time squared. The area is one half times speed times time. Something doesn't add up here ...
What I am saying is that he appears to have put distance where speed should be and vice versa ... because distance = speed times time. Thus the right graph would be meters per second and the left graph would be acceleration with meters per second per second. He has the calculus right but, named his y axes wrong; he has them swapped.
I LIKE the first few minutes...then the speed and slope and distance height explanations were too condensed for my brain...I got lost with the symbols and its application.....but I get why it was presented this way. Very informative! Thanks!
Many accelerometers are used in automobiles for numerous safety and performance purposes. However, few (if any) automobiles are built with a display that shows the acceleration data as measured by these devices to the driver. Why might this be?
@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.
God bless this great man : How I wish I had him as my Math teacher when I was young. He would have made it more interesting. When I was a kid I used to wonder why on earth would this be of so much importance in my life and brushed it off ( also my math teachers were cunts who never drilled on the subject well ) This man will straight go to the Lord's world . He is mind blowing
I thought he did a great intro lecture, also this is FREE by the way. Great information and a great starting point for any student. I actually enjoy the way he teaches, but to each their own I suppose. I'm just glad MIT does these things for people, 20 years ago these lectures would remain obscured from someone like me who will probably never end up at MIT.
I like the prof :) Very informative video. IMO one of the biggest problems with education (at least here in France) is that teachers fail at giving us a sense of the big picture. It's like "cool now I know how to do this! Have no idea what it means or what it's for though".
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
Fuck yeah! calculus the old fashion way. A really smart, qualified teacher and a dusty ass chalkboard with chalk. No overhead projector, no lecture notes, no iPad bullshit. Just straight into the work. Congrats Dr. Strang.
1Smoking Lizard I will share in a "fuck yeah!" with you.
Arlo I'd like to share a thumbs up with you too!!
+1Smoking Lizard fuck yea!!! i dont understand technology so i reject it and act superior fuck yea!!!
teachers like this are slowly dying off
+Richard Gluten Good one. You really showed all those elitists who don't understand how an overhead projector works.
I've decided to donate MIT OCW, once everything starts to payoff(as i'm still a student), thank you MIT..these lectures solved my biggest mystery!❤
As a 30-something who just finished intermediate algebra and got hooked (breaking a lifelong math phobia), this video really gave me that "lightbulb moment" epiphany that calculus is not some alien code, but rather something I could learn and understand. It motivates me to delve further. Thank you Mr. Strang, for your time and enthusiasm.
What's your purpose for learning math ay your thirties
No longer being innumerate!
Yeah, people make algebra sound hard, trig worse,and calculus impossible. Don't listen to them. They just didn't put in any effort so they couldn't understand this without the basics of algebra. It doesn't necessarily get "harder"
That’s awesome
@grovermatic , I relate to you in some manner. I wasn't taught to embrace math and I darn struggle, but this lecture was refreshingly more simple than I thought ever!🌟
I have the book of newton's principia , (pdf) this teading is awsome, and this professor is great!😄👍
Let's all keep learning!!🤓
If you're cramming, or in need of a quick crash course, I'd like to give you a small helpful hint: professor Strang's pace becomes quite nice if you speed the video up to 1.25-1.5x :)
I watch him at 4X speed and skip thru so it looks like he is "bampfing" around the screen at super speed lol.
Ish wright TH-cam has only 2x increasing
Is anyone sure this vid wasn't posted at the slower or wrong, speed?
Can you express that in an equation?
Fellow Traveler That's a great suggestion. Thanks. I never would have thought of it.
This guy is a great teacher. Thanks for what you're doing!!
Professor Strang is one of the many reasons why MIT is the best University in the world. Not just the best in leading technology research but because of teachers like this. I had some physics teachers like him. Professor Lewin comes to mind immediately,Dr. Barrett.... I apply what I learned in your classes to my plastic surgery work now. The simple stuff to be sure; vector calculus and Newtonian physics, yes. Its easy to break new ground in your chosen profession when you leave a place like this. Thank you, MIT, Professors Strang, Lewin , Barrett et al... I am forever indebted to you. Thank you.
This is the weirdest professor I've ever seen. But his introduction is the most heart warming introduction I've ever seen.
I agree ..
@mohittiwari8934 why is he weird? His age makes perhaps a bit awkward but I wouldn't say weird
I ADORE Gilbert Strang. His lectures are an absolute delight.
I like his chalkboard setup when he raises the board you can still see the previous one on top
The fundamental understanding this man posesses of his expert field is beautiful.
I wish I could tell this guy how appreciative I am of him doing this. Considering he had no obligation to do it, and these are the kind of videos that I learn the most from. Not just learning formulas and solving 100's of problems, but understanding what they mean and why they are important. Great lecture series.
These kinds of videos always have a bit of a bitter sweet taste. Sweet because here you have just a great teacher and MIT is sharing him for free.But how can you not feel bitter that not every teacher is as great as Professor Strang?
You are the best Calculus Teacher i have ever had ! Thanks a lot .
For me It takes physics to truly understand calculus. When I took calculus I just memorized what I need to do. I did not know why. When I took physics I finally understood why I did what I did.
same here bro. its like ohhh that's what slope is. ohh that's why we integrate. LOL
can you say what it was in calculus that is a benefit in physics?? ------ I wish both subjects - maths and physics.. had cross - pollinated .. they could have done the same example - from a use in physics ...add that example into teaching/showing calculus : here's how it can be applied
IMO Math is the language for measurements, physics tells the story of how those measurements relate in the wourld surrounding us
I would say the opposite. I understood physics (mechanics and kinematics) much better once I took calculus.
Issac Newton was first a physicist and then a mathematician ❤
Can I just say how perfect that chalk writes.
..see the other MIT videos; isn't it amazing that MIT still uses these traditional blackboards and chalk instead of the "more modern" white boards or - GASP! - the hated PowerPoint slide.
Somehow reassuring.
Wabi Sabi using powerpoints is a serious crime and the person who does that is a criminal with power points there's no interaction no conversation no humanity It's a sin
Ivy League chalk designed by MIT material science engineers!
70$ a stick!
Wabi Sabi. He is experienced person. And must be using chalk for many years 😊
I know nothing of calculus except basic algebra courses and I understood most of his explanations. True talented teacher he is, shows that it can make or break a student, he makes is seem so common sense
Many math teachers are "wicked smart" but not many, in my experience, are good teachers. Prof Strang is not only "wicked smart" but he is funny--in a quirky way. Thanks for the lecture.
Same goes for Walter Lewin's teaching of Physics!
Heck yeah!
Chris Jones That's unfortunate but at least he doesn't emphasize that in his lectures. Im not concerned with his personal ideals of mankind.
Chris Jones Who is racist?
"Wicked smart" was used in Good Will Hunting.
Gilbert is amazing. I remember one course i took where my professor was so bad. He could write two boards full of math and end up with 2=1 haha. I had to stop going to his lectures. It just so happened that all the topics we read were in a course gilbert taught that was available on youtube. I passed the test even though english is a foreign language to me.
I love you sooooo much Prof. Strang!!! This lecture is illuminating, fascinating, inspiring and amazing! I have finished Prof. Strang Linear Algebra courses, onward to Calculus!
Can't thank you enough Prof. Strang, you are changing people's lives. What a great gift to humanity!
I adore this man! Thank you so much for your generosity and thoughtfulness in putting this lecture series together, it's really a pleasure to see.
13:23 "You have to let me bring calculus into these lectures" Absolute legend.
Thank you for posting this to try to help people understand. I've been out of school for a while, so this is helpful. I always appreciate when people are generous with their knowledge.
What a great lecture.
The kind of teacher everyone needs but no one deserves.
Good God.. I love this guy. The second he started talking, I had just the best feelings from him =)
i wish, i had a lecturer like him back then... he made it look easy to grasp calculus.
Dear Mr. Gilbert!! you are a Magician to put it in simple terms. Glad to have these videos and Thanks a lot .
NO ONE BETTER THAN Dr Gilbert Strang explaining this and Linear Algebra .....hes "THE GURU".
The Function is usually in the form of a formula. e.g S (speed) = a.t^2 where a is the acceleration and t is the time.
Professor Strang is the definition of a true bad ass
Pretty cool....
Some people are discrediting this mans teaching ability. It is very displeasing knowing that public education is a complete joke and most are starving for a professor who can get a point across. This man is a marvelous instructor, and made the subject easily understandable for someone who has never taken a calculus course. P.S. If you cant do better or teach at M.I.T. Shut it!
I enjoyed this lecture very much, but I believe the graph represents displacement rather that distance. As distance would increase when you were going forward and backward (17:25), but displacement would not.
Thank you very much Professor Strang for so generously sharing your knowledge. I wish I had been taught calculus years ago just like you have done.
This guy really loves his job. Great video. I'm a really big math nerd. I'm only in AP Calc 1, but I just love math. It's art. And I really enjoyed listening to this guy. Great vid.
I am your great fan of your lectures on Linear Algebra .It has helped me a lot in Image processing Course. And your book on calculus and Linear Algebra is really appreciable and makes image in the mind of the concerned subject.
Thanks a lot for this contribution to mankind.
Really happy I came across these videos. I'm a college student majoring in computer science that has yet to ever take a calculus course. The last math course I took was the precalculus algebra and trigonometry sequence. These videos that Professor Strang and MIT OCW put up really makes me less nervous about the calculus I'm going to have to take in the future. Cheers!
+Brian Fassbender You're very lucky! I managed to go through my whole Computer Science degree a decade ago with only a superficial understanding of calculus without understanding the context of it all.
Thanks for sorting out the important things. And for clarifying the language.
I'm a geezer, though also a 2nd-yr grad student in geology who took math classes so long ago that I may as well never have taken calculus. I actually remember algebra, but calculus was never really there to lose. Considering how geophysics is mostly equations, I'm feeling better as Dr Strang explains the basics. Many thanks for this video series!
Let it be known that it was Gilbert Strang that dumbed down the concept of calculus enough for me to FINALLY understand. I love you man
I'm taking calculus my next semester! I have currently completed Algebra, Geometry, Trigonometry, Ap Statistics and in the process of completing College Algebra. I find that its mainly about reading and interpreting graphs as well as understanding the true meaning of functions and how they work in the concept of real life. Well Calculus here I come! :)
This guy gave me a wonderful, fundamental explanation of calculus. He is also very hilarious, so it keeps you mentally focused.
This lecture is the best lecture about calculus in my opinion. So clear and easy to understand, thanks
Thanks Professor Strang, MIT and You Tube for this video. It isn't easy breaking laymen into the field of calculus, but at least he makes it interesting, with the sparkle of hope we can understand why calculus is so important in its applications, and more importantly, how to (eventually, as I am a newcomer to this field) use it.
How can somebody dislike an excellent MIT Professor giving for FREE such a lesson?! This world is very wrong!
I spent the last hour trying to learn calculus via youtube and they were all so broad and tedious. I thank you for this video, it was very cohesive.
Great talk.....need more educators like you!!!!!
It`s been said a genius can make something complicated simple. It`s a fool that makes something simple complicated. I like this professor And wish there were lot more like him.
wile richards subjective opinion, but being able to explain things to the lamen is a good skill I must say. Still gives you no right to be an ignorant simpleton.
I graduated from 9th grade remedial math with a 65 . This was after having to take a intelligence test because the school thought I was mentally challenged ( It was not called that back then). The results came back with a score of 135 . After that they did not pity me anymore but kept telling me I was not applying myself . Reading and history I aced even to the point in history the teacher would let me read dirtbike mags because he knew if the class could not answer a question , I would raise my hand an give the correct answer . They even put me in a remedial reading class that on the first day when the teacher had everyone read to know their reading level , I had to fake like I could not read . After the class I showed her I was not in the right class . My father used to work with me at elementary age with flash cards to no avail . They even hired a math teacher as a tutor ,Still no good . I am 64 with a self assessed math level of maybe 5th grade . What happened to my math ability ?
Superb lecture. Altough I have to point out that we cannot have a negative speed since it only have magnitude and not direction. Velocity, on the other hand, is a vector quantity which means that it has both a magnitude and a direction.
Meh, a negative correlates to our common sense of a vantage point, preference or special case. When cars brake we know they're accelerating backwards, but it's a different pedal which to our worlds deserves conditional notation.
Gilbert Strang.. What a great teacher!
it's kinda funny seeing Strang teaching calculus given how much he smack talks it in 18.06. I love this guy lol
Thank you so much Professor Gilbert Strang and MIT. This was explained beautifully so I now understand the concepts better. Will watch more videos with him here.
The open courseware here and Khan Academy is really lovely.
Liking mathematics more and more as time goes on thanks to videos like this.
I would have loved to be taught by a teacher like him. Thanks a lot.
I am just watching it..and half way through (just wanted to comment though)...have a better idea on what i have been questing for years. Thanks again.
I really appreciate your lecture, this refreshes my brain
I was chuckling at "I don't mean slowing down with the chalk". Thank you Mr. Strang
Thank you so much for taking time out of your schedule to make this for curious minds everywhere.
Great! Thank you professor Strang. I am french speaking and yours courses are very understandable for me too!
Professor Strang and MIT Thank you so much for these great lectures ... God bless you
Liked in the first 60 seconds. This guy seems like a great instructor.
Amazing. Thanks a lof Prof Strang.
Brilliant; you activated my neurons - well, lack of neurons-, on this subject since I'm naive about it. But now I don't see it as difficult as before, gives me the desire to continue. Thank you.
Thank you MIT & the professor...
Hold on solving for at, d which he put in would have to equal 2...which is being multiplied by f/t. Got it now. it could also read 2(f/t)=at. or 2f/2t=at.
I thanks the efforts of this guy who rally loves education. His dedication to this noble ideal is worth so much that along the way I have learned calculus without much effort do it to the cleverness of this guy
Speed is simply how fast an object is moving. Velocity on the other hand is how fast an object is moving and in which direction. So there cannot be negative speed because the direction does not matter in speed. Rather there would be a negative velocity because he the object is moving in a negative direction at a given speed.
THANK YOU , THANK YOU, THANK YOU PROFESSOR
Trip meter on vehicle is important to give ballpark idea of engine hours for older vehicles
Vehicle with combustion engine deals with friction. Even electric motor vehicle needs odometer for reference to rotate tires
17:30
don't be confused guys about how the distance decreases because it's not actually distance .
that's called displacement and it's scientifcly wrong to call it distance ^_^
He is so inspiring and he made calculus much easier to understand!
Brilliant introduction to calculus!
19:45 - This also becomes an interesting issue with utility meters.
If you build an electrical meter without thinking about this issue, it is bidirectional and measures the net energy consumed, subtracting any energy during the time when power flows out of the facility. It doesn't end up counting lower than zero, but it does count down. However, people discovered that they could flip the device upside down, and rig the system.
Then, the meter manufacturers got sophisticated. They built the conventional meters, so that they accumulate kW-hrs in the forward no matter which way power flows. If power flows either direction at any instant, it counts energy forward.
For facilities that are given specific permission to backfeed the utility with distributed generation, an approved NET METER needs to be installed.
I got a math degree....38 years ago....I thought this video was a piece of Art!
Great job professor. I hope you upload more videos like this.
Great lecture, Dr. Strang!
34:36 it might be important to emphasize that L is 0 at t=0 when considering f as the area under s(t) curve.
I still have nightmares about college. Im still in class listening to some like Gilbert. This may be very imformative to some people but its spooky to me.
at 34:30 he states that speed = acceleration multiplied by time; however acceleration = speed squared and the area under the line cannot be one half times speed squared times time squared. The area is one half times speed times time. Something doesn't add up here ...
What I am saying is that he appears to have put distance where speed should be and vice versa ... because distance = speed times time. Thus the right graph would be meters per second and the left graph would be acceleration with meters per second per second. He has the calculus right but, named his y axes wrong; he has them swapped.
This teacher is the real thing !
I LIKE the first few minutes...then the speed and slope and distance height explanations were too condensed for my brain...I got lost with the symbols and its application.....but I get why it was presented this way. Very informative! Thanks!
Thank you so much Professor Strang.
If only I had a teacher like this.
Many accelerometers are used in automobiles for numerous safety and performance purposes. However, few (if any) automobiles are built with a display that shows the acceleration data as measured by these devices to the driver. Why might this be?
speed is scaler quantity curve wont go donwards
he is very good teacher
@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.
Son this is what MIT is like... going to make sure my children strive for an education from professors like Strang. InshaAllah
WAW, thank You mister, I learned more here than in my many 2 hour classes, i understood it, rather than memorizing, THANK YOU
Charismatic fella. Looking forward to Calculus.
Very good teacher. I like his teaching style.
This teacher is so cool!
finally someone was able to just simply tell me what the hell d(y)/d(x) means.. or where it comes from to be more exact.. thank you!!!!
this is fantastic.. I know calculus.. but even then seeing this video is learning as well as entertaining.. thank you MIT and Dr Strang
God bless this great man : How I wish I had him as my Math teacher when I was young. He would have made it more interesting. When I was a kid I used to wonder why on earth would this be of so much importance in my life and brushed it off ( also my math teachers were cunts who never drilled on the subject well ) This man will straight go to the Lord's world . He is mind blowing
thanks, this kinda helps my son understand all the void of calculus,He's not even 10 yet!
I thought he did a great intro lecture, also this is FREE by the way. Great information and a great starting point for any student. I actually enjoy the way he teaches, but to each their own I suppose. I'm just glad MIT does these things for people, 20 years ago these lectures would remain obscured from someone like me who will probably never end up at MIT.
Speed can't be negative, it's a velocity.
I think it should be displacement instead of distance... The distance should not decrease as long as the object is still travelling.
Wow, this man is wonderful. Well done.
Mathematics is every where and every yhing, so can be learn in different sources. The video clips are very useful for self study
The world would have way more cool Engineering technologies,
if we only had more teachers who can teach complex subjects in an intuitive manner.
I like the prof :) Very informative video. IMO one of the biggest problems with education (at least here in France) is that teachers fail at giving us a sense of the big picture. It's like "cool now I know how to do this! Have no idea what it means or what it's for though".
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
The line curving down represents the speed starting out high and then decreasing to zero.