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.

@wittyhumour29

6 жыл бұрын

What's your purpose for learning math ay your thirties

@stardaggerrihannsu2363

6 жыл бұрын

No longer being innumerate!

@VeritasEtAequitas

4 жыл бұрын

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"

@scres87

4 жыл бұрын

That’s awesome

@ceciliapares2804

2 жыл бұрын

@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!!🤓

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.

@aasthabanerjee9899

8 жыл бұрын

Same goes for Walter Lewin's teaching of Physics!

@rancegarrett3696

7 жыл бұрын

Heck yeah!

@rancegarrett3696

7 жыл бұрын

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.

@gaurav.raj.mishra

7 жыл бұрын

Chris Jones Who is racist?

@chessandmathguy

5 жыл бұрын

"Wicked smart" was used in Good Will Hunting.

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.

@SilverArro

9 жыл бұрын

1Smoking Lizard I will share in a "fuck yeah!" with you.

@1SmokingLizard

9 жыл бұрын

Arlo I'd like to share a thumbs up with you too!!

@787310

8 жыл бұрын

+1Smoking Lizard fuck yea!!! i dont understand technology so i reject it and act superior fuck yea!!!

@stocks4bt

7 жыл бұрын

teachers like this are slowly dying off

@darrenringer9811

7 жыл бұрын

+Richard Gluten Good one. You really showed all those elitists who don't understand how an overhead projector works.

A word of warning: Like many lecture series at MIT, this starts out at a very basic level. There is a good reason for this. You simply must master these simple concepts or you will get lost when things get complicated. Professor Strang is teaching you to think in principles and he is a master at it... If you have any interest in calculus (or just want another shot at it), I urge you to continue to the next lecture. It just gets better and better...

@johnnycockatoo1003

5 жыл бұрын

thanks

@gaussiano

5 жыл бұрын

That is totally true, if you do not learn to understand each topic you handle, you surely fail and become frustrated. The amount of topics you understand(and you know how to use) is inversely proportional to the time you will study in your career.

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!❤

This guy is a great teacher. Thanks for what you're doing!!

Hi Mr. Strang. Thank you and MIT very much for this video! I'm a mature student, out of school for quite some time. I was really bad with Math in grade school and high school. I'm now in college taking a Business program which involves taking a Microeconomics course. The course uses some fairly basic calculus, but was quite difficult for me. This video really helped me out giving me the "big picture" of it. I feel if I was taught in this manner at a younger age, I would of understood it a lot better. Excellent teaching.

@k7iq

6 жыл бұрын

These kinds of videos are why I donate to MIT once in a while

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 :)

@fluxpistol3608

6 жыл бұрын

I watch him at 4X speed and skip thru so it looks like he is "bampfing" around the screen at super speed lol.

@JoffreyB

6 жыл бұрын

Ish wright KZread has only 2x increasing

@TheBman13298

6 жыл бұрын

Is anyone sure this vid wasn't posted at the slower or wrong, speed?

@i.p.knightly149

6 жыл бұрын

Can you express that in an equation?

@baruchben-david4196

6 жыл бұрын

Fellow Traveler That's a great suggestion. Thanks. I never would have thought of it.

I ADORE Gilbert Strang. His lectures are an absolute delight.

I just finished Calculus I and needed a good reminder of the larger picture. This was a fantastic summary of the key topics. I'm very grateful for the kind professor's time. Thanks, Professor Strang.

haven't even taken this class yet and i can actually understand what he's taken about. God bless this man

FINALLY!! Somebody gave a basic summary of how calculus works by showing the whole picture at once, instead of just nonsensical sections at a time!!! I've been trying to understand how it worked for decades!!! I only got through trig & pre-calc then life took over & I never had enough time to learn the rest, until now.... :-)

thank you MIT and professor Strang for taking time and teaching such wonderful concepts of calculus.

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.

@mohittiwari8934

5 жыл бұрын

I agree ..

@7yep4336dfgvvh

6 ай бұрын

​@mohittiwari8934 why is he weird? His age makes perhaps a bit awkward but I wouldn't say weird

You are the best Calculus Teacher i have ever had ! Thanks a lot .

The fundamental understanding this man posesses of his expert field is beautiful.

I like his chalkboard setup when he raises the board you can still see the previous one on top

Dr. Strang I was so happy to see and listen to you. I am a math enthusiast. you are my star. Thanks

2:53 I've never heard anyone referring to f as how far LMFAO. I love this guy

Can I just say how perfect that chalk writes.

@warplanner8852

8 жыл бұрын

..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.

@zuesr3277

7 жыл бұрын

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

@stardaggerrihannsu2363

6 жыл бұрын

Ivy League chalk designed by MIT material science engineers! 70$ a stick!

@JayTheMachine

6 жыл бұрын

Wabi Sabi. He is experienced person. And must be using chalk for many years 😊

Well thank you SO MUCH for putting integration and derivatives into perspective. At the age of 50, I'm coming back to look at Calculus with a zero expectation angle. Integration and derivatives have always seemed a mystical topic - I cracked out an A in University but never really had it explained in a visual relationship between everyday concepts. Your having put the two concepts into relationship between two functions - distance with speed, height with growth, speed with acceleration -- has made ALL the difference as my first foray into revisiting the wonders of science ... I have three boys ... the oldest is 13 ... I want them to genuinely fall in love with science. Thanks to Professor Strang!

I've been trying to self teach myself calculus for the past couple of days. I've been completely lost in the the jargon used in study the material i've use online. I found this video the "Boom!" my mind was blown. I actually understand everything now. What a difference a great teacher makes.

You have a very nice way of abstraction. I never really understood the logic behind proof for many of calculus rules until I saw your videos. Thank you very much.

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.

@jayluvlogs9154

6 жыл бұрын

same here bro. its like ohhh that's what slope is. ohh that's why we integrate. LOL

@johnnycockatoo1003

5 жыл бұрын

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

@nicolasortiz2638

5 жыл бұрын

IMO Math is the language for measurements, physics tells the story of how those measurements relate in the wourld surrounding us

@sanjaygandhi7962

2 жыл бұрын

I would say the opposite. I understood physics (mechanics and kinematics) much better once I took calculus.

@Fjfcjcfjfjccjcjjkf

4 ай бұрын

Issac Newton was first a physicist and then a mathematician ❤

Last night I was crying because I can't understand calculus,I watched many videos of teachers explains it,but They're explains the mathmatical side only,now is the first time I feel that I'm begaining to understand claculus:")💖 And so excited to do that! Thank you professor,thank you from all of my heart💜

I love it.. This guy talks to me and presents the lecture and hand-holds like I am a total idiot in this area; which is exactly what I need, because that makes it easier to fundamentally digest and understand the information and concepts. He lays the foundations perfectly while also avoiding using any technical math jargon that someone may not yet be familiar with before learning calculus. This is one of the best intro lectures I've found and this guy is one of the few profs that actually knows how to TEACH properly and convey information.

Things like this show us what a beautiful thing the internet is.

4 ай бұрын

damn fucking straight

In less than 38 minutes, he gave me more understanding of Calculus than 3 years of Math class in high school did. You're a gift to mankind, professor Strang. I wish you health.

@Fjfcjcfjfjccjcjjkf

4 ай бұрын

Little Black sheep has now become Tiger of the Jungle...

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.

I think Dr. Strang speaks more slowly than the average teacher, but I love it. A good teacher is patient and takes the time to explain the steps they're taking in a way that is unlikely to be misinterpreted. Dr. Strang has contributed much to mathematics education, and, like others on here, I am really grateful these videos are available to those of us who were never exposed to calculus prior to college.

sir I am an Indian, right now studying in std 10th but the way u teach is really amazing. it made me realize n understand maths actually from your simple teaching techniques... I really appreciate your work sir...

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.

Hi Proffessor Strang I've seen this video by the interest of learning calculus,and i like doing maths very much. I'm only 11 and i want to learn calculus .in fact i like doing calculus. i just wanna say that you are a very good teacher of maths and teach calculus very confidently

@Fjfcjcfjfjccjcjjkf

4 ай бұрын

Shalini calculus at age 11 ? What are u doing currently now??

13:23 "You have to let me bring calculus into these lectures" Absolute legend.

Thank you Mr strang for this eye opener course on "what is calculus" that I finally and at once got it, at the age of 70+ 😁. Your lucid explanations drove it home to me that it is essentially about function of functions & their inter-relations. Thanks agn!

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

Great old school teaching from the Prof clear visual concepts helped me to grasp a deeper understanding and meaning behind what was just memorised gibberish glyphs back in school - thanks

I am such a nerd I have an autographed textbook by Professor Strang. :-)

@kumarsen88

5 жыл бұрын

pretty lucky!

@Fjfcjcfjfjccjcjjkf

4 ай бұрын

Bro I never studied my whole life 😢. I wish I was a nerd😂

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.

Dear Mr. Gilbert!! you are a Magician to put it in simple terms. Glad to have these videos and Thanks a lot .

Consider myself so very fortunate to have free uni. lectures such as this on the internet. Thank you Prof. Strang.

This is pretty good. The professor seems to find it a little hard to get his ideas out in plain words, which makes it a little hard to follow the current point at certain times, but his use of many real world examples keeps everything going along pretty smoothly, and his short mental detours are kind of entertaining anyway and show a little human in the teacher without being much of a problem. Thank you for posting this information online for the world to watch for free.

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!

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.

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.

I like how you explain that calculus is the relationship between functions and you show how the function can be represented by other letters other than f and that the variable function can be represented by any letter inside the parentheses. Made a lot of sense. Everything you discuss in this video was helpful and enlightening. Thank you so much.

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!

What a nice gentleman and good human being. I’m so grateful to have found this video!

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

Good God.. I love this guy. The second he started talking, I had just the best feelings from him =)

Professor Strang is the definition of a true bad ass

@Fjfcjcfjfjccjcjjkf

4 ай бұрын

Pretty cool....

I failed calculus the first time I took it because I got a bad teacher. When I got a good one it was so easy to learn. It just seems so easy once you really understand it. Every college student should learn it. If you put in the time anyone can learn it.

@Fjfcjcfjfjccjcjjkf

4 ай бұрын

Study from Gavesh Bharadwaj sir. GOD of Maths but it's in Hindi

Thankyou for taking your time to do this. I watched this as a final study tool for my calc final and it really helped put all the pieces of calculus together for me.

From mannerisms alone, one can tell of the level of dedication to Mathematics this professor has, I think it's amazingly beautiful!!!!

This is truly one of the best lectures I have ever listened to. I got the insight of calculus and laughed a lot.

What a great lecture. The kind of teacher everyone needs but no one deserves.

In the movie Ferris Bueller's Day Off, the odometer did not register any change because the odometer measures from the wheels that aren't driven by the engine. That car was a rear-wheel drive car, and the odometer gets its measurements from the front wheels. The front wheels remained stationary, which is why the odometer didn't count anywhere. They'd have to spin the front wheels by hand, to roll back the miles. That trick could only work on a four wheel drive, that was built before 1960.

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.

Thank you so much for such a wonderful lecture Prof. Strang and MIT.

i wish, i had a lecturer like him back then... he made it look easy to grasp calculus.

Great talk.....need more educators like you!!!!!

I visited courses on an actually very well reputational university, but they never teach you the basics ... they always go right into the guts and details, and you wonder why you are even here, watching all those details. When watching videos like these i sometimes wonder if it is not intentional dumb keeping. Well, let's praise the internet, and foremost, let's praise MIT opencoursware and Gilbert Strang for these amazing things we are able to witness right now! I am truly blessed to live in these times, where information is so freely available.

I got C score on Calculus about 17 years ago. And just understood the fundamental of Calculus by watching this. Lol. Its never too late to fix the failure. 💪 Thank you so much.

@Fjfcjcfjfjccjcjjkf

4 ай бұрын

Return of calculus. Hats off to ur perseverance for 12 years wait🎉

Professor Strang and MIT Thank you so much for these great lectures ... God bless you

NO ONE BETTER THAN Dr Gilbert Strang explaining this and Linear Algebra .....hes "THE GURU".

Thank you so much for explaining this! I can't believe I've done so many math courses and never seen this relationship! Well done! You have a real flare for teaching!

I just love this man ! He reminds me of my high school teacher, who teaches in a perfect way!

Gilbert Strang.. What a great teacher!

I attended a course in the university, few years ago, using his book of linear algebra without to listen him like I can do now . He is an excellent teacher

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.

Amazing. Thanks a lof Prof Strang.

Thanks for sorting out the important things. And for clarifying the language.

Thank you so much for the classic examples of calculus. The basic concepts are very important.

Thank you so much Professor Strang.

Understood Concepts of Physics and Calculus with this session ! WOW !

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

i dont have the words to express the joy i had when i watched this video..thank you sir your lecture really helps me see the bigger picture.

Great! Thank you professor Strang. I am french speaking and yours courses are very understandable for me too!

Thank you so much for taking time out of your schedule to make this for curious minds everywhere.

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

this is just beautiful. thank you very much prof strang!

This guy gave me a wonderful, fundamental explanation of calculus. He is also very hilarious, so it keeps you mentally focused.

THANK YOU , THANK YOU, THANK YOU PROFESSOR

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

Actual professor or not I absolutely loved listening to him. This was excellent.

This lecture is the best lecture about calculus in my opinion. So clear and easy to understand, thanks

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.

I love the multiple lifting chalkboards. They are beautifully clear & simple. My city spent tons of money on electronic white boards which are no doubt old technology now.

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.

thanks strang, may Einstein bless you. Calculus is far less ominous with this BIG PICTURE presentation.

Thank you MIT & the professor...

Thank you, Dr. Strang, for your dedication to the sciences. I believe it is essential to have an educated populace, and for the cost of an internet connection and a laptop computer, we the people are able to do such a thing at an affordable cost. This would not be possible without dedicated professionals...for that, I bestow upon you the award of super-awesome professor of the year.

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

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.

So I have done David and Gilberts calculus and Linear algebra courses here and for some reason they explain much harder concepts than what I learned in college, in an easier way than my own professors explained it to me. Something about the quality here is different. That is teaching ability. Great videos.

Wow. I'd been looking for a good calculus video for ages. This is exactly what I needed. Congrats! your an excellent teacher.

I love this guy! I just learned in fifteen minutes what would have probably taken in a classroom a month at an hour a day, including time to class, and time in traveling..

@Fjfcjcfjfjccjcjjkf

4 ай бұрын

Bro why you didn't complete the video. Why only 15 mins??

Wow great teacher you are Prof. Strang....I have really learnt a lot from this video...Thumbs up MIT for making this video public...Am gonna watch all of them....