What is Calculus? (Mathematics)

What is Calculus? In this video, we give you a quick overview of calculus and introduce the limit, derivative and integral.

We begin with the question “Who invented Calculus?” Next, we talk about the two main tools you’ll study: derivatives and integrals. To understand both of these you’ll first learn about limits. After you learn how to compute the derivative and integral for basic functions and apply them to real-world problems, you’ll move up to higher dimensions and study things like “partial derivatives” and “multiple integrals.”

What to watch next:
The Tangent Line & the Derivative

Product Rule for Derivatives

Quotient Rule

How to Study For a Test

How to Study Physics

How to Study Programming

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We recommend the following books:
How to Be a Great Student

Innumeracy: Mathematical Illiteracy and Its Consequences

The Art of Learning by Josh Waitzkin (Chess Prodigy)

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Written and Produced by Michael Harrison

Michael Harrison received his BS in math from Caltech, and his MS from the University of Washington where he studied algebraic number theory. After teaching math for a few years, Michael worked in finance both as a developer and a quantitative analyst (quant). He then worked at Google as a software engineer for over 5 years before leaving to found Socratica.

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[manjunathsanjeev]

Mathematics is fun, only thing we need is a good teacher.

[mayankvaish]

i studied calculus 17 years back and understood the meaning today. good work mate.

[sanacy]

I've always been really frustrated because we start learning calculus from limits, while no one ever explained to us what we were actually doing. I'm glad I watched this video before finishing highschool! Thanks a lot.

[grasuh]

What is Calculus? Calculus is a method of studying the complex universe by cutting them into very small pieces which turn them into SIMPLE pieces like straight lines or cubes, making them easy to apply various math. This is called DERIVATIVE. Summing all the small pieces to represent the overall picture is called INTEGRAL. Explaining Calculus as 'slope and area' merely shows the PROPERTY of Calculus. This is why many students (and general public) do not understand the fundamental concept of Calculus.

[Abreviatur]

Hands down the best intro to calculus online. Not even Khan Academy or similar high-profile channels come close!

[ehh.]

I’ve just done 13 weeks of maths at uni and this explained more in a few minutes than our lecturer has in months. Thank you!

[fsandlksndkasd]

this is one of the most clearest explanations of calculus that I've ever seen

[abdullahmoiz]

Please consider continuing the series, astonished by how he explains the concepts of Calculus in a simple manner with excellent visualization

[connemignonne]

I am always amazed at how much clarity you have in your videos. This is absolutely golden. I love everything that you do.

[johnhammer]

This is amazing. After a decade of rote memorization and torture, finally i get the intution. Can't thank enough. Thanks very much.

[danmart]

Wow, this teacher is excellent. Clear, concise, to the point, and in a relaxed manner. Five Stars !!!

[Albinary]

Me at the beginning:
Oh, I'm probably too young for this. How will I understand anything?

Me at the end:
I am amazed

[gatorbuilt]

Brilliant!...I have been teaching, tutoring and using high-level math for decades and have utilized analogies and visuals since the first lesson I gave...nothing is better than quality computer animation/graphics that an individual can watch, re-watch, pause or use to explain what or where they have become lost or confused...it is sad to say that universities don't reward TEACHING, but research dollars, which is why I prefer to do part-time instruction at Community College while maintaining a career in engineering. Damn well done!

[nrzr]

Please, make more deeper and detail videos about differentials integrals and differential equations. Thanks

[TomasUjhelyi]

I was always intimidated by calculus purely on what others were saying.
When I started it, I really enjoyed it. Along with conic sections, it was definitely a field of maths I wanted to learn more about.

[gauravsinha]

I found this channel to be one of the best. Many people explain concepts with no base to plot the concept. While this channel does neither hype nor exaggerate itself to gain publicity. Teachers in here do come to the topic of interest very peacefully and explain any concept starting from its origin. This is true teaching.

[khornebezerker]

Studying this at 10th grade so I can be prepared.

[HomeMadeBoards]

My father taught physics at university, he couldn't explain it as comprehensive as just did.
Great work, thank you.

[abdullahmoiz]

terrific video
explained in the best possible way

[chuckbecker]

Brilliant! This should be the first period of the first day of the first class of every calculus sequence!