+Osman ÇALIŞIR All the lecture notes, exams with solutions and assignments are available on the MIT OpenCourseWare site at: ocw.mit.edu/18-01F06

Lecture 1: Rate of Change Lecture 2: Limits Lecture 3: Derivatives Lecture 4: Chain Rule Lecture 5: Implicit Differentiation Lecture 6: Exponential and Log Lecture 7: Exam 1 Review Lecture 9: Linear and Quadratic Approximations Lecture 10: Curve Sketching Lecture 11: Max-min Lecture 12: Related Rates Lecture 13: Newton's Method Lecture 14: Mean Value Theorem Lecture 15: Antiderivative Lecture 16: Differential Equations Lecture 18: Definite Integrals Lecture 19: First Fundamental Theorem Lecture 20: Second Fundamental Theorem Lecture 21: Applications to Logarithms Lecture 22: Volumes Lecture 23: Work, Probability Lecture 24: Numerical Integration Lecture 25: Exam 3 Review Lecture 27: Trig Integrals Lecture 28: Inverse Substitution Lecture 29: Partial Fractions Lecture 30: Integration by Parts Lecture 31: Parametric Equations Lecture 32: Polar Coordinates Lecture 33: Exam 4 Review Lecture 35: Indeterminate Forms Lecture 36: Improper Integrals Lecture 37: Infinite Series Lecture 38: Taylor's Series Lecture 39: Final Review

100 students in a class. each pay 50USD a day aprox for university. perhaps 25USD for this lecture alone. (2500USD total!) And we get it for free! This really helps those without opportunities to learn and advance.

Anyone else most thrilled about the quality of their chalkboards?

I'm very grateful to MIT for providing all of this for free. Big thanks from Russia!

i never know that youtube have video like this. good.

I'm a chemical engg. student from India ..i watch mit videos regularly .. it helps me a lot.. sir.. your teaching style is awesome .. thanking you all.. for sharing such videos ...

I am from the Dominican Republic , Thank you very much to MIT Open courses. we are using yours Lectures at the rural area of Barahona city wich is at the South area from Santo Domingo. Thank you very very much. God Bless all of you.!!!!

Thank you MIT. I'm a chemical engineer with over 3 years experience in the industry. Just recently I needed to go back and relearn basis of calculus. This was a great refresher

The level of the calculus might be low, but he is explaining the proof and intuition in very clear, insightful ways that you don't normally get from a high school teacher. Well worth watching. Thank you MIT!

This comment section sure has a lot of egos. Math brainiacs feeling the need to show off their mad skillz: humility might do you some good. It's fantastic that this stuff is incredibly easy for you - it isn't for everyone, and proclaiming your genius to the world serves no one, it only comes off as arrogant. If this is below your level - great, go to some higher level videos. In the meantime, show some respect for MIT and appreciation for their work in making good education open to everyone, and some consideration for your fellow students who may have more trouble with this stuff.

4:51 geometric interpretation of differentiation 12:00 steps in computing slopes 21:50 check for the plausibility of computed slopes 25:30 the hardness in solving a problem involving calculus 33:50 use symmetry as a shortcut 37:00 the hardest part of calculus, the resolving of variable names

Thank you so much to professor Jerison and the MIT team for creating this whole course. I'm starting my journey in Calculus and it is way easier and more appealing because of you.

The voice clarity is very clear . Awesome work by MIT OCW.

I really like that the instructors at MIT spend the time to write the topic on the board which reinforces the point of their discussion. And they all have good penmanship which allows the student to concentrate on what he is saying, not trying to interpret the writing. I also like they're using blackboards and chalk which show up nicely in the videos. When my school changed to whiteboards there were times when reflections obscured the writing and some of those markers had a distracting smell.

Yes! Most charismatic calculus lecturer I've seen on youtube. I'm biologist and enjoy improve my math skills in my free time. Many thanks from Russia. I'm very grateful. .

The fact that anyone anywhere can learn this is revolutionary, I think Some impoverished Einstein now has a golden opportunity

Thank you all in MIT for sharing this class with the world. I like it, a lot. Mathematics rock!

The Geometric interpretation of the derivative is fantastic. Gives you a clear grasp of the concept before adding any kind of obscure computation. Great work. Thank you Professor Jerison

i cant thank enough. this really help us a lot where we dont get proper teaching. Thank you so much for sharing the videos for free. I wish every famous university were doing that.

a set of free lectures from one of the top Schools in the world.(especially the highest level of mathematics) God bless KZfaq.

Omg I just discovered this channel and I didn’t have idea that KZfaq have this excellent content. It remember me when I was in college and dreaming about being at MIT ¡Gracias por subir este tipo de contenido!

I really want to thank MIT OCW fore the opportunity to really learn calculus, and even better, from one of the best places in the world. We don't have this kind of teatching here in Brazil, not anywhere near this. I'm very thankful for you opening this class to everyone.

Ive always been interested in quantum mechanics but to get there you need to start from the bottom. excited to start my journey!

Big thanks to help me pick up my lost memory of calculus, and ease my scary on this subject. math is beautiful.

This man is amazing. I used to only be able to compute derivatives and limits, but this man made me understand the why and how of it as well.

Excellent job . I've never seen such an amazing calculus professor. Thanku so much for this wonderful series.

One of the many things I like about this professor: "Let me tell you BRIEFLY what's in store." Three minute intro, not twenty minutes of child psychotherapy at the start of the course. 15 minutes in and he's explained the derivative.

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

He is a very good teacher! I'm taking a calculus course now and using this for review. He has received awards for his teaching. Thank you MIT for providing this for free!!!! It's remarkable and free teaching at this level is changing the world!

im a CSE student from india and litrally These videos are proving that Why MIT is best in the world....

I don't think I will ever get an admission from MIT :) but being able to listen to lectures from my dream school online for free is truly awesome! Thank you for these wonderful lectures.

If majority of people are interested in science and math like they do in music and cinema, it would literally push civilization to the next level.

I wish I had this prof for Calc... So much better at explaining what he's doing than the one I had

Thanks Prof. David Jerison and off course MIT and American society for this amazing science dissemination!!! The American society formed by the founding fathers is an example of freedom for humanity... thank you.. I love you..

I love these lectures!!! Now I'll be able to get ahead in my highschool math!! THANK YOU MIT!!!!!

I hope everyone realizes this is the beginning of calculus. I'am a freshman in high school watching out of pure interest. If your farther ahead of this; move along and don't comment on "how easy this is"

Mit is doing a phenomenal job by uploading these

This guy can teach. He is not pretentious, and is not afraid to explain the algebra behind the calculations. I remember my freshman calculus course. If you forgot any of the algebra basics there was a lot of uncomfortable silence.

I love the boards and the chalks so much that I can fly there and solve a tangent line problem on those boards with those lovely chalks. What a chalk to write with, and what a board to write on.

we can get free lecture from MIT?? WOW!!!!

The BIGGEST W to MIt for actually making high quality educational content free for people. I wanna learn calculus over the summer and this is great!!! Thanks a lot!

if only I had known about this open courseware thing when I took calculus the first time, or even the second! Thanks, MIT, for sharing knowledge. Kudos to this professor, for shedding light on this monster class.

I first saw this lecture some 10 years ago. It a fantastic lecturer MIT has in David Jerison. It is a marvelous course in my view. Thanks to MIT and David Jerison for this and other lectures I 😊😊😊have followed. I can only recommend all interested in this area to follow MIT courses. Brgds John Sørensen, Denmark

I am truly impressed his lecture.... I have learned about derivatives so many times but I didn't really realize why formular be made like that way.. or act like that way. AMAZING

The video on my recommendation .And I cant stop watching . One of my dream university when I was in secondary school.

These students that were attending this class were excellent students, but the way the teacher/professor taught it step by step slowly and slowly is really a beautiful thing. Really appreciate that thank you professor.

I'm a second year calculus student, and I find these videos very helpful. thank you MIT, for making these awesome videos.

41:00, (y=1/x) Area of the triangle 2(x)(y)= (substitute the original function (y=1/x) into the area of the triangle equation he arrived at and you get. 2(x)(1/x)=2

It's been over 10 years since I first learned this in high school. Now I think I finally understand the formula for the derivative after this guy lectured for 20 minutes.

i simply enjoy watching and listening to this.

I like how people in the comments section are mulling over the Professor's treatment of the material in this course, completely forgetting the fact that courses like these will usually have textbooks associated with them to augment learning and the professor's job is NOT to regurgitate things that can be found in a textbook but to focus on the key concepts required in problem solving. It amazes me that some people feel that there's a need to do 10 whiteboards worth of derivations in a 50 minute course when the focus should ALWAYS be on the concepts, with the professor encouraging students to look up the derivation or the individual proofs. It's good that the professor managed to do the derivation at the end, cos it just reinforces the concepts and also provides a general methodological framework which students can then use to solve general problems.

I love the sound of chalk on a chalkboard.. he has great handwriting

THANK YOU MIT FOR THIS VALUABLE LECTURE !!

This professor is detailed in his calculations and explains why things work the way they do

Very impressive and helpful specially for the people who can't afford to study but still want to learn in life.

The only thing I can say is these lessons are WONDERFUL thanks a lot for your efforts as soon as I finish the entire playlist I will leave my comment under the last video I'M so glad to be made follow the lessons without being in this class when you gave these lectures I was just 3 years old and now I'm improving my Maths knowledge by myself because I love Maths a lot.. Greetings from TÜRKİYE✍✍😍😍

So good for doing this, even it's ordinary. Very good self-study material.

i feel honored to be able to listen to a MIT, math professor. I am trying to teach myself calculus this summer but his lecture is kinda advanced for me at this moment. lol.

I love the teacher's handwriting!

Listening to cinematic musics while watching the lecture makes me feel like I'm in a top secret project and I'm the most important agent

Just finished all lectures including psets and examinations. Just wanted to stop by the first video to say thanks. If you want to learn Calculus, this is the place to do it! The lectures are a brilliant display of teaching ability. Psets and examinations keep things exciting. Amazing amazing content. Thank you MIT!!!❤

these lectures are excellent for indian students who learnt entire caclulus by byhearting formulas and now need to understand how everything works

I enjoyed this professor's lecture. It helped me conceptualize a new idea.

Perfect revision after almost 30 years ! thank you .

Finally a professor who gets straight to the material. No wasting half a lecture on philosophical gasbagging.

I shure am glad the Internet exists so I can watch the back of a guy's head as he writes on a chalk board with chalk. And audio, too, so I can hear the tap-tap-tap of the chalk on the board! Thank you, MIT. Thank you, thank you, thank you: It's wonderful that you are putting technology to work for us all.

this is awesome, i feel like a student in the class :)

Generally people from India, specially Bihar think that they are very smart in mathematics but that's of type "Rattafication" a/c my experience Here's the actual mathematics !!! Literally Loved this lecture, wish to complete whole calculus part from here, not for any entrance but just to make my understanding to next level! Thanks MIT :)

I’m taking calc AB right now as a senior in high school and so far I know all this stuff but I plan on watching all the vids until I can understand it through these and then go over it again in class to make me double prepared this year, thank you so much MIT for this opportunity.

For a very first time in my life, I understand calculus. Thank you so much 🙏

I can't thank MIT enough.

Went to the later MIT lectures for this course about 900,000 people have watched this vid only about 50,000 people actually got all the way to the end. There's a huge drop right after he finishes what most colleges consider calc 1.

Thank you MIT and my dear sir. I need calculus to study MIT physics. So I started my journey today. I could understand the whole lesson. Thank you again.

Currently a sophomore in high school. I've heard a lot about calculus over the years and about just how powerful and beautiful it is. About 20 minutes in is when that rang so true for me.

Any JEE Aspirants here

my brain is on fire!

这老师真好， 看了这个课之前，我以为我遇见的是好老师。 我遇见的数学老师，从来没解释过，坐标系里，其实是很多个变量，而且重复使用了x 和 y 来表示不同的东西。 而这一点是非常重要的，也是复杂的根源。

@stiglaa X value - any value on a graph's horizontal axis Y value - any value on a graph's vertical axis slope - the value which is the change of x and y values between two points tangent line - the slope of a curve at any given single point. In this video he estimated the tangent line by looking at how the graph curved in that area. (Geom. Interp.)

In Russia we learn this in 10th grade. In America they also learn this in 10/11 grade however this is just an review + some new stuff. This course lasts for only 1 semester. In school it takes you a year, while this is ONE SEMESTER. US still has and will have the best engineers in the world because they think creatively, and not just learn everything in the world. They apply their skills instead of inventing new. And no offense to anyone not in US, every country has amazing universities.

very good explanations.. description doesn't enlist his name? i am very thankful to MIT for putting these kind of videos in public domain.

Thank you from Colombia, it is pretty useful!

We never could know what we learn in KZfaq or Bilibili. Thanks MIT , Peking University and other universities those could really bring knowledge to me.

If you are wondering he is using the slope-point formula in minute 30:38. I would also appreciate if someone can explain to me why he can use O(x²) in minute 47:30 to describe values with bigger exponents then 2 like x³,x⁴ and higher.

I'm looking to learn calculus and coming to the end of this video, it seems I'm missing lots of information. What previous math categories should I learn to continue on with calculus?

Knowledge for free. Thanks MIT, thanks youtube, thanks internet.

This guy is great. I studied engineering at a university less prestigious than MIT, and I remember professors refusing to explain their algebra steps. They were like "you should know this already".

Derivatives are cool and all.. but have you ever tried a stuff crust pizza?

This man's jugular is noticeably extended indicating a high degree of self-induced stress. Dangerous work well performed.

love seeing teachers look at notes

44:15

Wow they start by differentiating e^(arctangent(x))d/d. My community college we start with xd/dx

Thanks a lot for posting these videos!

I need to finish this, rewatch, and then continue (all of it, besides the physics part) Everything Just Makes Sense

Man I love chalkboards n the sound the make :D

28:10 - I've done an interactive graph of this exercise at: www.desmos.com/calculator/lfc29dwtt6

thank you Dr. am from kenya, university of nairobi doing econ, this is very helpful

THANK YOU SO MUCH MIT!!!!! great help for reviews

Do these courses pretty much teach you the same thing that a high school AP Calculus AB class would?

Today I have statrted this course. This is really awesome. I just want to know which book I should follow for this course?