Big Picture of Calculus Instructor: Gilbert Strang ocw.mit.edu/highlights-of-calc... License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms More courses at ocw.mit.edu
Пікірлер: 863
@1SmokingLizard9 жыл бұрын
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.
@SilverArro9 жыл бұрын
1Smoking Lizard I will share in a "fuck yeah!" with you.
@1SmokingLizard9 жыл бұрын
Arlo I'd like to share a thumbs up with you too!!
@7873108 жыл бұрын
+1Smoking Lizard fuck yea!!! i dont understand technology so i reject it and act superior fuck yea!!!
@stocks4bt7 жыл бұрын
teachers like this are slowly dying off
@darrenringer98117 жыл бұрын
+Richard Gluten Good one. You really showed all those elitists who don't understand how an overhead projector works.
@mikesimone19 жыл бұрын
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.
@aasthabanerjee98998 жыл бұрын
Same goes for Walter Lewin's teaching of Physics!
@rancegarrett36966 жыл бұрын
Heck yeah!
@rancegarrett36966 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.mishra6 жыл бұрын
Chris Jones Who is racist?
@chessandmathguy5 жыл бұрын
"Wicked smart" was used in Good Will Hunting.
@grovermatic10 жыл бұрын
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.
@wittyhumour296 жыл бұрын
What's your purpose for learning math ay your thirties
@stardaggerrihannsu23636 жыл бұрын
No longer being innumerate!
@VeritasEtAequitas4 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"
@salomoncrespin82314 жыл бұрын
That’s awesome
@ceciliapares28042 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!!🤓
@dr.reidsheftalltruthinscie20079 жыл бұрын
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...
@johnnycockatoo10035 жыл бұрын
thanks
@gaussiano4 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.
@SantoshvasaTB5 жыл бұрын
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!❤
@Endisupertramp7 жыл бұрын
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 :)
@fluxpistol36086 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.
@JoffreyB6 жыл бұрын
Ish wright KZbin has only 2x increasing
@TheBman132986 жыл бұрын
Is anyone sure this vid wasn't posted at the slower or wrong, speed?
@i.p.knightly1496 жыл бұрын
Can you express that in an equation?
@baruchben-david41965 жыл бұрын
Fellow Traveler That's a great suggestion. Thanks. I never would have thought of it.
@LouisHong979 жыл бұрын
This is the weirdest professor I've ever seen. But his introduction is the most heart warming introduction I've ever seen.
@mohittiwari89344 жыл бұрын
I agree ..
@7yep4336dfgvvh4 ай бұрын
@mohittiwari8934 why is he weird? His age makes perhaps a bit awkward but I wouldn't say weird
@selim86117 жыл бұрын
I like his chalkboard setup when he raises the board you can still see the previous one on top
@blaby4ever9 жыл бұрын
haven't even taken this class yet and i can actually understand what he's taken about. God bless this man
@wabisabi94278 жыл бұрын
Can I just say how perfect that chalk writes.
@warplanner88528 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.
@zuesr32776 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
@stardaggerrihannsu23636 жыл бұрын
Ivy League chalk designed by MIT material science engineers! 70$ a stick!
@jaysoni66745 жыл бұрын
Wabi Sabi. He is experienced person. And must be using chalk for many years 😊
@sandeepgrover3957 жыл бұрын
thank you MIT and professor Strang for taking time and teaching such wonderful concepts of calculus.
@jeffreygong66788 жыл бұрын
This guy is a great teacher. Thanks for what you're doing!!
@dr.reidsheftalltruthinscie20079 жыл бұрын
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.
@JohnStrikwerda8 жыл бұрын
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.
@k7iq6 жыл бұрын
These kinds of videos are why I donate to MIT once in a while
@brucewayne31414 жыл бұрын
2:53 I've never heard anyone referring to f as how far LMFAO. I love this guy
@mattgriffiths5910 жыл бұрын
Things like this show us what a beautiful thing the internet is.
@NjordBlavikenАй бұрын
damn fucking straight
@speedgaming81318 жыл бұрын
The fundamental understanding this man posesses of his expert field is beautiful.
@soadtoxicity1210 жыл бұрын
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.
@RetinnaBell16 жыл бұрын
I ADORE Gilbert Strang. His lectures are an absolute delight.
@BlindPacemaker11 жыл бұрын
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.
@kazifarzin50379 жыл бұрын
You are the best Calculus Teacher i have ever had ! Thanks a lot .
@524megan7 жыл бұрын
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.
@paradigmshift0313 жыл бұрын
This was one of the most lucidly explained calculus lectures I have experienced. Many thanks Prof. Strang!
@2009worstyearever9 жыл бұрын
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?
@remembertedcruz72132 ай бұрын
Passionate teachers like this make all the difference in getting a quality education
@jvicinip8 жыл бұрын
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.
@WRATH96364 жыл бұрын
Consider myself so very fortunate to have free uni. lectures such as this on the internet. Thank you Prof. Strang.
@ebrahimalfardan88237 жыл бұрын
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.
@Bobxchen3337 жыл бұрын
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.
@jayluvlogs91546 жыл бұрын
same here bro. its like ohhh that's what slope is. ohh that's why we integrate. LOL
@johnnycockatoo10035 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
@nicolasortiz26385 жыл бұрын
IMO Math is the language for measurements, physics tells the story of how those measurements relate in the wourld surrounding us
@sanjaygandhi7962 Жыл бұрын
I would say the opposite. I understood physics (mechanics and kinematics) much better once I took calculus.
@Harsh_SirАй бұрын
Issac Newton was first a physicist and then a mathematician ❤
@Dlsspfldyt10 жыл бұрын
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.
@anthonyegboh88258 жыл бұрын
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
@marcousosewelle55014 жыл бұрын
13:23 "You have to let me bring calculus into these lectures" Absolute legend.
@flow20047 жыл бұрын
Dr. Strang I was so happy to see and listen to you. I am a math enthusiast. you are my star. Thanks
@mtdeezy11 жыл бұрын
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.
@Matthew-zc8qt5 жыл бұрын
What a nice gentleman and good human being. I’m so grateful to have found this video!
@artc82817 жыл бұрын
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.
@upmperthay8 жыл бұрын
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.... :-)
@thomasjurgy11 жыл бұрын
Thank you so much for taking time out of your schedule to make this for curious minds everywhere.
@enzy64342 жыл бұрын
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.
@aluminumferl3 жыл бұрын
What a great lecture. The kind of teacher everyone needs but no one deserves.
@denverfan14119110 жыл бұрын
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.
@KrishnaPrasad-qt7ke7 жыл бұрын
Thank you so much for such a wonderful lecture Prof. Strang and MIT.
@rsplenum13 жыл бұрын
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.
@masterduff7 жыл бұрын
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
@theultimatenewplayer93414 жыл бұрын
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.
@jiangyihao75106 жыл бұрын
I just love this man ! He reminds me of my high school teacher, who teaches in a perfect way!
@mssr196511 жыл бұрын
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
@cyanide4u5399 күн бұрын
Dear Mr. Gilbert!! you are a Magician to put it in simple terms. Glad to have these videos and Thanks a lot .
@supersnowva6717 Жыл бұрын
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!
@raymie178 жыл бұрын
i wish, i had a lecturer like him back then... he made it look easy to grasp calculus.
@jamespotts81974 жыл бұрын
From mannerisms alone, one can tell of the level of dedication to Mathematics this professor has, I think it's amazingly beautiful!!!!
@joeimbesi99 Жыл бұрын
NO ONE BETTER THAN Dr Gilbert Strang explaining this and Linear Algebra .....hes "THE GURU".
@aljonloveiguibone13 жыл бұрын
Thank you so much Prof. Strang... God Bless You!!
@REPECursos11 жыл бұрын
I love the way Prof Strang explains
@kemalunal47762 жыл бұрын
This is truly one of the best lectures I have ever listened to. I got the insight of calculus and laughed a lot.
@MrIgor2001111 жыл бұрын
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.
@TheRealMake-Make11 жыл бұрын
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.
@georgesadler78302 жыл бұрын
Thank you so much for the classic examples of calculus. The basic concepts are very important.
@deltaexplorer478 жыл бұрын
THANK YOU , THANK YOU, THANK YOU PROFESSOR
@ThinkFilmProductions12 жыл бұрын
very good explination, he really takes his time to explain every detail. Thank you Professor Strang.
@dragonfly31397 жыл бұрын
Professor Strang and MIT Thank you so much for these great lectures ... God bless you
@raghu452 жыл бұрын
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!
@jeffchapman89927 жыл бұрын
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!
@LittleBlacksheep19952 жыл бұрын
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.
@Harsh_SirАй бұрын
Little Black sheep has now become Tiger of the Jungle...
@larseriksson11846 жыл бұрын
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.
@chelleweatherspoon22265 жыл бұрын
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.
@Haidibeard8 жыл бұрын
Thank you so much Professor Strang.
@jimmykelley8839 жыл бұрын
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!
@MelgMike5311 жыл бұрын
Good God.. I love this guy. The second he started talking, I had just the best feelings from him =)
@dynamix99163 ай бұрын
Gilbert Strang.. What a great teacher!
@Alexcarrillo36510 жыл бұрын
Great talk.....need more educators like you!!!!!
@kururugisuzaku91999 жыл бұрын
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.
@andrewrufo2421 Жыл бұрын
Thanks for sorting out the important things. And for clarifying the language.
@MisterBinx5 жыл бұрын
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.
@Harsh_SirАй бұрын
Study from Gavesh Bharadwaj sir. GOD of Maths but it's in Hindi
@riteshbajaj67 жыл бұрын
Amazing. Thanks a lof Prof Strang.
@THEQuantumPolkaDots10 жыл бұрын
Actual professor or not I absolutely loved listening to him. This was excellent.
@arianawaller34547 жыл бұрын
This guy gave me a wonderful, fundamental explanation of calculus. He is also very hilarious, so it keeps you mentally focused.
@toqa0025 жыл бұрын
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💜
@shvideo15 жыл бұрын
A great teacher with a great personality. Thank you for the lecture.
@pierrecreus50196 жыл бұрын
Great! Thank you professor Strang. I am french speaking and yours courses are very understandable for me too!
@shalinisharma19776 жыл бұрын
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
@Harsh_SirАй бұрын
Shalini calculus at age 11 ? What are u doing currently now??
@kenmeyer1002 жыл бұрын
if every math teacher was like Gilbert Strang then everyone would be a math genius
@bobocsabin13 жыл бұрын
Thank you very much Gilbert Strang, thank you very much MIT !
@nidurnevets11 жыл бұрын
Thank you for the very clear, and informative video. I've been trying to improve my understanding of math. It is truly wonderful that we can have access to the work of brilliant people such as yourself using today's technology.
@nehasingh81797 жыл бұрын
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...
@aussieaddict12210 жыл бұрын
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.
@cliftonjohnson199010 жыл бұрын
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!
@erdinn Жыл бұрын
this is just beautiful. thank you very much prof strang!
@imegatrone12 жыл бұрын
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
@ebrimaceesay93048 жыл бұрын
I really appreciate your lecture, this refreshes my brain
@AbrahamMaliktauseef9 жыл бұрын
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.
@Ztingjammer10 ай бұрын
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.
@jelliott14587 жыл бұрын
Liked in the first 60 seconds. This guy seems like a great instructor.
@aybukekrmz99015 жыл бұрын
I wish I had a teacher like you. That's awesome.
@richard219958 жыл бұрын
Thank you, this is really great, the way you explain it makes it easy to understand.
@matissrubulis84159 жыл бұрын
Thank you Dr. Strang. This was indeed helpful.
@shanrafnezden795810 жыл бұрын
Thank you MIT & the professor...
@bluddysoul8 жыл бұрын
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
@lyminhtien75264 жыл бұрын
This lecture is the best lecture about calculus in my opinion. So clear and easy to understand, thanks
@Phillyfast8 жыл бұрын
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!
@nekojindes8 жыл бұрын
+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.