Calculus Symbols and Notation – Basic Introduction to Calculus

73 -year-old retired math teacher here. I am enjoying watching John's hard work teaching math. I have my own crazy way of doing things but the clarity and fun of watching another mathematician is a pure joy and I look forward to soak up as much as I can. Great job explaining a subject I love.

Learning begins at 5:05

Decades ago I stumbled through calculus with a passing grade. At least now I understand what the heck I was working towards. I love this guys videos and he inspired me to purchase an algebra book to see what I missed the first time. I'm going to work my way towards understanding calculus once and for all. Thank you Tablet Math.

Thank you for going so slow and explaining everything, I think this is one of the only channels I actually follow because it’s beginner friendly, I’m horrid at math.

Very delightful and pleasurable explanations

Very well explained. Thank you so much.

This has been an awesome video. Thank you so much for making this video. It certainly makes me want to know more about Calculus. Please continue making these videos as they really do help people to love maths.

I tuned in to learn some calculus tips but 5 minutes into the video this guy is just yammering on and on!

I took two semesters of calc. From someone who obviously had English as a second language. In any case I finished up taking non calc statistics which for a Bio major was much more fitting. The hardest part of calc for me was not exactly the mechanics, you can sort of memorize your way through that without much understanding. What was very hard was applying real world problems to calculus. A lot of students end up with tutoring for calculus and I would recommend it to anyone struggling with it.

When integrating, you're adding up the area under the curve that is made up of multiplying the value of x in the function 3x^2, times the change in x, which is represented by "dx" in the integrand portion of the integral, from 2 to 5. Area here is the y value of the function 3x^2, multiplied by the change in x. So 3x^2 is the height of one of the infinitely small rectangles, times the width of that rectangle, which is represented by "dx". You're adding up all the infinitely small areas produced by (3x^2) x (dx), from 2 to 5. That's what "3x^2 dx" means. Think of it as "(3x^2)(dx). Hopefully this make the "dx" in the integrand better understood. Thanks, B

Excellent explanation

I am in class 5 and i understood just simplifying and explaning like that will surely make anybody understand it. I am really thankful to you sir (I thought it will be hard, but it wasn't!!)❤❤❤

Very nice. Thank you.

Thank you john it great

when i took calculus, i had to buy a book called "Introduction to Calculus with Analytic Geometry" by Andree to explain my massive course textbook. That was decades ago.

I loved learning the Concept of integratiuon, but could you take it a little further and show how you plug in the numbers and work the mechanics of the formula, just to give us a few examples. Thanks.

The function is x^3 ; Plugging the numbers for the variable x gives us (3)^3 - (2)^3 = 19

Sorry to say, but what I notice about your videos is that by the time you get down to the topic, the video is already half gone! 😆

Many years ago, I thought I was intelligent. I was actually good at math. Then I tried to take calculus and was totally lost. That was 30+ years ago. Now, after not studying and hardly ever using the math I did learn, I actually understood your explanation. If my instructors back then had been as clear in their explanations as you, I might not have given up any ambition to major in the sciences.

Where do you use it in a real situation?