I know how much harder is to teach using this method, and I really appreciate the effort you have put in these lessons. I am an engineer. I have used calculus in my career many times, but I must admit I never really understood it on a gut level. Unfortunately I never had an instructor who took his job as seriously as you. Thank you.

@maheenmubashir2932

5 ай бұрын

E lvxe😢ce ussuit

Love these lessons. Im an adult that never really did well in school. In todays world its really helping keep up at work by learning from youtube and for maths I highly recommend this guy!! Thanks for creating this content that is free for me👍👍 respect.

@edgepixel8467

2 жыл бұрын

Hello kindred soul

@bad2infinity

Жыл бұрын

Ditto...right there w you.

Jason your videos have really helped me understand more complex mathematics than I thought I could ever grasp. You truly are a master and 2nd to none at teaching complex mathematical concepts. Thank you so much for what you do.

Nostalgia has brought a sixty something.here and it is quite amazing that something remaining in the dark for nearly half a century suddenly becomes clear, bright and simple. Thank you for your professional effort to simplify a complex subject.

@Daniel-OConnell

3 жыл бұрын

Me too.

I am an engineer and a keen lover of math. I was blessed to have a calculus teacher that explained this the same way that you did. I was also blessed to have a patient mother who drilled me in math so that I can do many complex calculations in my head by simplifying things back to first principles. My Dad was a mechanic who blessed me with the ingenuity to understand physics by asking questions that came from my curiosity. No wonder when I reached university the concepts of magnetism and electric fields helped me apply science and math to solve engineering problems. My favourite equation is the one you concluded with. e to the i*pi +1=0. It is so neat that the first derivative of the function (slope) is x and is the same as the integral (area under the curve) from - inf to x. Yes, Euler's number is indeed special.

This is the finest teaching of maths that I have ever come across. Absolutely compulsive. Dr Ron Fitzgerald

First off, your videos are excellent. Clear and to the point. Moving between the different whiteboards and using the different colored markers is brilliant. With schools closed, my daughter is watching your videos to finish off her senior year in high school. She will continue with her transition to college. Hopefully schools are open by then.

Thanks a lot and I am reminded of my days 58 YEARS ago. You are such a very , very good teacher.

One of the best things I've seen on KZread. I've been using this stuff for years but nobody ever explained how it was derived or the meaning of the number. If only my maths lecturers were this good.

This is one of the best examples and explanation of e and compound interest I've seen. So important for understanding the magic of compound interest.

I've been looking for this method of teaching math for like 3 years. I literally appreciate the effort.

Please set this lesson as the standard class and textbook lesson to all the 1st year senior highs kids. Now I have gotten it - why has the US been such a great nation? The instructor is the powerful answer!!!! Thank you so much

What a stunning lesson, brilliant in its simplicity!

I received math lessons in my High school Education and in College. I am happy to tell you that your explanation of the Euler's number is the best and simple one I’ve seen. Many thanks for your time.

Brilliant explanation with simple language. I took math courses up to Differential equations and 'e' popped up everywhere, but I did not know why 'e' was so fundamental until now. Thanks a million!

It seems the Euler's number 'e' is an amazing discovery. Thanks, explain it so nicely. Curiosity is one of our basic instinct to know or learn(new) things. It is all around us if our mind opens to it. Without the curiosity we barely advance in our life.

@MathAndScience

4 жыл бұрын

I agree!

@harneksingh3207

4 жыл бұрын

many thankd

@harneksingh3207

4 жыл бұрын

many thanks

The origin and importance of 'e' so well explained. You are an incredibly good and passionate teacher! Thank you very much.

This was really very interesting. I can see there is such a lot to think about here. I look forward to the next installments. As I do with all the other lessons on your website.

Thanks! That is very clear. If all instruction in mathematics were as well done, we would all be less likely to stop trying to get out of going to class.

Wish I had this instructor 60 years ago when I was studying calculus. It took me forever to understand the concept and he made it clear in ten minutes Well done and thank you

Didn't even noticed that 43 minutes of my life just passed by watching a lesson that had nothing to do with my life *BUT* it was the most interesting thing that I learnt today just for the sake of general knowledge.....thank you......bless you son.

Sir, you are saving the humanity! What an amazing explanation !

This teacher is simply amazing, his lessons are so well designed and easy to follow.

When such explanations are simply done it only means that you master completely mathematics. Great job

Watched this explanation of "e" number first time, Understood it first time. Sir you are the Master we should have had in my school days,life would have been quite different. Thank you so much. It makes it lot easier for our children to enjoy Maths. Thanks

What a great lesson. Some of the best teaching I have ever seen. The visualization and verbalization was incredible

I can't underestimate how thankful I am to you for this amazing explanation of the Euler's number. It really helped me with my math project. Thank you so much one more time

@alirezanabavian771

2 жыл бұрын

He took the log and added the result or multiplied them....

KZread inspires own generation of creativity and budding minds! Thanks! We were about to be misguided but youtube comes to the rescue. Greatest invention of all time

Can't express how helpful this was. THANK YOU VERY MUCH!!!

Amazing tutor skills. Thank's.

The best teacher ever. I watch his videos a lot. Very talented person.

Fantastic intuitive , clear and concise video on e.

This is the most beautiful mathematical video I've seen this year, thank you. I've just fallen in love with maths and it might change the entire course of my life.

@MathAndScience

Жыл бұрын

Wow, thank you!

I may never in my lifetime use this but it does my soul good to understand how and what it is.

Fascinating video , so brilliantly explained.Excellent video,thank you.

I remember receiving a loan in 1983. The banker had no clue how compound interest worked. 40 years later, I figured it out with your video. Also i calculated from your example n= 1 million Wow, it came out to exactly 6 digits of Euler‘s number. Jason, thank you for demystifying this formula. You remind me of my math teacher in high school with your contagious enthusiasm.

@MathAndScience

8 ай бұрын

Awesome story. You are very welcome!

@augumentum

8 ай бұрын

@@MathAndScience Jason, I just watched “09-Unit Circle” a couple of times several days ago. This was the 1st time I have ever heard of a unit circle. You explained it very well. In the 30º, 60º, 90º right triangle the x,y coordinates were ( √3/2,½) . The sine of 30º = ½ (y axis) is permanently etched in my brain with the flashlight analogy . Then √3/2 = x-axis (cos.). Next some calculations were done to understand this more fully. √3/ 2 =1.7305/ 2 = .866025. Then the Cos 30º = .866025 on the calculator. This is also true for the Isosceles right triangle at 45º( √2/2). So, being new to the “Unit Circle", I am puzzled!! Why deal with a √3 divided by 2 when 2 clicks of the Construction Master calculator gives the exact same number (.866025 for the cos of 30º) Is this because it is easier to remember the simple square roots rather than a 6 digit decimal and plug them into the other 3 quadrants of the circle?

I can't imagine how euler calculate such powers like 1000 or more. Really a great mathematician 🙏

@alirezanabavian771

2 жыл бұрын

He took the log and added or multiplied the results

Thank you. All your sessions are incredibly brilliant!

@MathAndScience

Жыл бұрын

Thank you so much!

Another adult here keeps learning, and I really appreciate the clear explanation... I enjoy this lesson every minute. Thank you, Sir.

An excellent lesson! Thanks!

fascinating! Always wondered about that mysterious e on the calculator - very logical teaching - thank you

Industrious educator ,, a noble passion..

Beautiful teaching. Thank you

Thank you so much for wanting to help us understand how the Euler's number come from. very interesting. Thank you for all your vids.

beautifully done! much appreciated.

Superb introduction to a complex topic. love your lessons, you're a brilliant teacher..

Very well done!!! I’m 83 years old and remember in a graduate chemistry class the prof was using “e” in his equations and told us it was easy to remember because it was 2.7 Andrew Jackson squared. WHAT??? Andrew Jackson was elected in 1828 so “e” was 2.718281828 . But I didn’t appreciate the derivation of “e” until viewin your presentation. Before it was just a number to me. Now it makes sense. Oh, and I liked your inclusion of the area under the curve. Very neat! Thanks, Paul Boston, former chemistry teacher.

Thank you for the incredible explanation. I have understood the basic concept of e , it’s function and it’s properties which I couldn’t understand it from other books or lectures.

Thank you for another great lesson

Thank you Jason, you made my life easy. Now I can help my daughter in a very simple method that I learned from you.

Another excellent video. Thanks

Thank you really helpful you lectures

Thank you very. The way you explained number e is incredible. None of my teachers was able to explain to me.

@MathAndScience

2 жыл бұрын

Welcome!

aulas muito boas!!!!! obrigado!!

Best teacher. Thanks for this. Appreciate your commitment.

I truly considering that incredible teacher is the most famous teacher i've seen in my whole life for real and then thank you so much incredible teacher!!!

Thanks a lot for this marvelous lecture !

Solid background explanations. Great channel

You are a great teacher. Your explanation 👌 is very clear and interesting.

You are the best, Sir!

A real gem! Thank you

Hi, it's a beautiful lesson, well articulated.

Awesome and thanks for the tremendous energy

Superb explanation. Really enjoyed listening to it

Excellent simply excellent. You are passionate about e.

You are a great teacher.

@MathAndScience

4 жыл бұрын

Thanks so much! So happy you liked it!

Beautiful teaching ....

Wonderful lesson. TANK YOU!

Thank you sir this is wonderful education

Mind-blowing. Thank you

perfectly explained , i now get the charging formula of a capacitor Uc=Uv* (1-^e^(1/rc)), it's perfect., it 1/rc from the addition to inifinity of what you can get, it maps to your annual growth where it's 1/rc , really love your video's, studyd electronics in the past but learned some stuf out of my head and never got the gut feeling with it m just implemented it.

Wow what a wonderful explanation

Very helpful video. Thank you very much.

Good stuff.I only learned e when we did Calculus (differential calculus`. Specifically the derivative of a log function.

JASON I WANT TO GIVE YOU AN INFINITELY LARGE SMOOCH FOR YOUR GENIUS IN TEACHING THESE TOPICS!!! ♥♥♥

Excellent lesson

Thank you very much sir..!!! Student from India 🇮🇳❤️🙏

It also works using google sheets FV function graphed line chart.

Love this presentation. I wish someone had done this for me in High School, before tech/eng school. Iam retired but enjoy math.

The best explanation on Euler number I have ever had ! 👏👏👏👏

@MathAndScience

2 жыл бұрын

Thanks!

@joedasilva134

2 жыл бұрын

I have been binging in all of your videos . Today I covered 3 . They r awesome !!! Keep them coming . I would love to watch one Riemann Zeta Function . Thanks n may the forth b with u . 😊😊😊

Thanks to explain

Wish I had your lessons in High school. BRAVO.

Excellent explanation...

Awesome. I always until now wonder how Euler got "e". Thanks soooe....much.

"what we call, in advanced math, the limit..." omg i think i blushed. i was like....I DO ADVANCED MATH!???!?!!??!

@anaeleraph4278

3 жыл бұрын

Dwoskin stop doing drugs

This is phenomenal :D 😍😍😍😍

very beautifully explained

Very good explanation

Very nice explanation sir.

Thanks a lot. You are the best. goodluck.

Euler number was used in the movie “Hidden Figures” when changing from a elliptical to parabolic orbit for NASA space capsule to return to earth.

Great. Thank u very much.

9:25 - Compound Interest 20:56 - Continuous Compounding

Best math teacher ever had

Narutal log of 2, or 'e' is a great number. I like to play with '1/e' or .36787... this to me would be the experiential growth rate of the speed of light as the gravitational effects change as it moves from objects or towards an object in relation to it's distance. So as lights hits Murcery it moved a shorter distance but took longer to escape the pull of the sun gravity, but as it passes Murcery heading to Earth it speeds up.

Beautiful presentation

Thank you sir!!

dude, you're the best. MORE, ALWAYS MORE. i just wish I could pick you're brain. also, you should have a Saturday morning science show; you'd save our youth.

@MathAndScience

3 жыл бұрын

Wow thanks so much! I’m trying to do my part!

Holy smokes man this is what learn from you mister awesomr😂🎉👍🏆wow lots of things are alot clearder now great 🎉

Thank you so much! May I just know that is Euler some gradient curve for exponential curve? Hopefully someone replies, thank you