I learned calcus without grasping it's importance and real life application. This man has just closed that gap in one lesson.

man, I have been fruitlessly looking for a video that explains why we want to know the area under a curve. I think if i had a teacher like you i could have done well in math in my school years....thanks a lot

Finally my "why do we need all of this? Where do you need to use this? How is this useful" questions have been answered perfectly! I remember getting shouted at for asking questions like this. If only my teachers could have explained concepts like this. "There is no bad student, only bad teachers" - mr miyagi

If only all teachers or schools were as good as you in explaining and has the same level of passion and empathy, then a lot more students would've taken courses with math and science. Sana all Let's not skip the ads on videos like this

Unbelievable the clarity he brought to the integral. So thankful!

I don't think that there is a better teacher than yourself in the world. You literally can teach rocket science to anybody. God bless you.

No more confusion confounded, those in search of a clue, a path to understanding, YOU HAVE COME TO THE RIGHT PLACE. The teacher here Breaks down the concept of calculus beautifully incrementally or infinitesimally or by DeltaX , great lecture!!

I listened to your lecture on integrals last night dumb-struck that I understood everything you covered. I say this because, I only went through Algebra 2 in school. You explained this subject so clearly I couldn't do anything but understand it. You have an extrordinary talent. I will be following you with out any doubt. Kudos

This is absolutely amazing. You made me fall in love with math all over again, thanks for the great content.

If math was taught this way, which is a perfect example of how to explain complex topics, I'm pretty sure more people would have pursued science. What a great lecture, I really enjoyed this!

The best teacher ever... Like you explained this amazingly.

You are an excellent teacher. I wish I had you as my teacher and I would I loved math in the early days.

From zero to professional in just half an hour. Thanks sir.

You are a wonderful soul... I am a Magistrate and civil judge, but I love watching your videos... I always wanted to become an engineer, but I couldn't understand calculus... Now, I realise that it's not my head, it must be my math teacher... I could understand whatever you are explaining... When I get bored I use to watch your videos... Perhaps one day, when I have a kid myself and he too doesn't have a good math teacher, I could teach him... Perhaps, I want to tackle higher mathematics to understand higher mathematics... But thank you, kind sir, from the bottom of my heart...

The best math teacher in the world

I am in awe by how well this was explained. Thank you so much!!!

You're an amazing teacher, thank you so much for giving me the opportunity to access free quality education that is not available in my country.

If I had you as my high school teacher, I would have loved math. You resparked my interest in learning math again. You are an excellent teacher. Thank you!

You are so amazing. I am someone who left school for over than 40 years and I can understand you very well . What so amazing about you is that you don’t just explain the mechanical process of math , but you always give applicable examples about how this process is working in real life .

One of the best explanation and demonstration ever.

yoh, I don't know what to say sir but what I think is that there is no one who could make me understand other than you. thanks a lot. watching from Namibia.

The best of all, online and offline, because he puts his soul into explaining

Thank you for breaking it down.. when you leave school for 10 years and come back to refresh it helps a lot. Keep up the great work cheers

Nobody can explain mathematics better than this gentleman. Gift of God for those who really want to learn mathematics !

❤️💙💜💜 you are brilliant amazing math teacher, and I love the way you connect topics with each other.

Sir we love you. Thanks for explaining science in a way that is easier to comprehend

I love the introduction with example. Really make maths to be exiting and eliminate cramming and passing

Thank you so much for posting these educational videos, you make complex topics related to math and science so easy to understand a lot of the other youtube instructors are rather boring or you are just staring at a board with a bunch of numbers and diagrams, but having someone walk you through it, almost as if you were face to face, makes it much easier to understand and I am better able to stay engaged with an actual person standing there explaining things. I hope to use the full courses soon one day from your website and really buckle down and learn what I need to as I plan on pursuing electrical engineering. Thanks again!

I'm very happy for teachers like you to exist

The best lesson on integral.High school kids must watch this.

I think it’s a good idea to transform your videos into text books, then translate them into other languages, the way you teach is really good (so easy to grasp means you worked hard) the first stages in education system is very important, they need teachers like you.

Sir the professor! You are such a gifted and awesome and one of a kind teacher. You definitely have a unique way of teaching. You are superb and O love you Sir. May God bless you!!!!

wow, who is this guy!...you are just good. Thanks. will definitely pay for this kind of knowledge anytime

you are trying to touch our minds in every point , really super-amazing efforts..thanks from deep of my heart my teacher..

This man needs a grammies for teaching!

Best explanation of integrals I have ever seen.

I think, currently in this planet, I am the most frustrated Electrical Engineering Masters student Who really don't know how he came up to masters level of engineering. Every time, when I lose my inspiration, I saw his tutorial, ( word is not enough for expressing his teaching quality), I got my energy back again for learning and getting back to the track.

I'm thrilled by you I'm going to carry on with electric engineering thanks I wasn't get a good teacher like you.. That's why I quit maths and physics class..

There cannot be a better presentation than given here. Thank you

❤thank you very much for sharing video. I wish i had a teacher like you when i was younger my life would have been a lot much better. It clarified all the things i had learned in an instant ❤❤❤

I'm totally speechless. thank you very much for this video of yours.

I am so thank ful...this was explained very straightforward ❤

Yep this explanation was as good as everyone says in the comments. Fantastic video. Thanks so much for putting the effort in to make this video. Really really appreciate it

by far the best math teacher, the best method of teaching. thank you

In 36 min an explanation was much better than at university in twoo months. Thanks.

Probably the best lesson ive seen so far

Fantastic presentation! I'm understanding it and motivated to learn more! Thank you!

Easy and clear. The best teacher!

Loved the explanation completely. Just couldn't find any teacher like you.

Almost 3 years of college study and after 30 years of life span, I am just able to understand, now Integration in Calculus that skill of teaching and transmision skill so powerful, mind blowing thank you Sir and my Salute that I feel realised.

I also wish I had a teacher like this gentleman 10 years ago. Now that I'm going back to re-prepare myself mathematically for an MS in Comp Sci (Data Sci specialization)

THANKS A LOT!! The most intuitive way to explain the topic!

Dude - you take the time to actually explain what this stuff means..incredible. You explain it in a way that is very understandable..

Beautiful teaching making things look so easy.

The best teacher ever

Real talk about integrals.💪👍👍👍

A great way of explanation . Thanks

i hope all prof in the world could teach like you do Sir. salute from Phillipines

I don't think anyone can draw the integral sigh as perfect as you do sir!

I sincerely appreciate your patience!

You sir are an angel amongst us… we appreciate all the effort you put into your videos. I feel I am ready to take a stab at Statics again - I failed Statics, because I couldn’t do centroids 🤦‍♂️

What a teacher!! Wow!! thank you so much sir !!!!

this guy is a fantastic teacher

Wow thank you so much. This video was excellent. Very helpful

An underrated gem.

This is incredibly useful! I can now understand the reality that integrals represent :)

You are one of the greatest, i come to know thanks again america you are a great country

Best explanation I have ever seen!

one of the best explanation ever

Excellent video.. Thanks for sharing your valuable knowledge.. Thank you sir..🎉🎉🎉

U are the best teacher ever,,, U just made me understand this whole thing👌👍

Great video. Your maths videos are the best on KZfaq.

6:50 - this is where a moving image is so helpful. If you had an example where the angle theta slowly, visibly approaches 0 degrees as the cosine conversely increases along with f increasing, it would be clear even to 5th graders. // 14:24 - state the next 35-40 seconds at the beginning, too, please. It's always constructive to be able to state with this kind of clarity, where it is you're taking us. It also provides a framework within which the student is able to place everything that follows.

fascinating overview of integrals ever

This is pure gold !!! Thanks

Thanks for this! Very helpful

Far and away the greatest teacher I've ever seen. Man..you're a blinding genius. You're blessed with this uncanny ability to make those seemingly impossible concepts look ridiculously easy. Take a bow🙏🙏👏👏

perfect teaching and explanation. Great job..

Good teacher indeed.. Thank you

Sir you have done a great job by explaining it in a very beautiful way hats off to you thank you so much ❤

I was right with you till you set i=1, because in my world (software) indexes start with zero.. but I followed you through the lesson.. you're a good teacher.. thanks

Perfect illutration sir thanks

After many videos, it's very clear that Physicists explain calculus way better that Math teachers. Because they use real life examples we can relate to. Thanks. !!

We haven’t learnt this in school yet.But if we don’t learn like this I’ll be very disappointed.You explained good for beginners like me in integral.I actually wanted to learn for qm because I couldn’t watch videos without understanding integral.

wow this was awesome...actual applications of this stuff !!!!!

Your videos are so good. Thank you!

Thank you very much.....just loved it

Very good explanation.

sir your way of teaching is great

Teaching maths and physics in one whole go. Incredible! ❤ I would call this teacher as Emeritus

You saved many lives

Definitely one of if not the best explanation on integrals!

I am watching his videos in 2022 which is making my phd classwork easy. I am still in learning process due to these vidoes...Thanks...

Have no words to describe this... awesome

very very wonderful lecture.thank you so much sir

Finally got it,thanks sir

You are an amazing teacher❤

Thanks, finally a good explanation

Comprehensive explanation. Looove it.

Great teacher in the world