- published: 28 Apr 2017
- views: 682928

developed with YouTube

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- Duration: 17:05
- Updated: 28 Apr 2017
- views: 682928

I want you to feel that you could have invented calculus for yourself, and in this first video of the series, we see how unraveling the nuances of a simple geometry question can lead to integrals, derivatives, and the fundamental theorem of calculus.
Full playlist: http://3b1b.co/calculus
Support for these videos comes primarily from Patreon:
https://patreon.com/3blue1brown
Special thanks to the following supporters: http://3b1b.co/eoc1-thanks
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
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https://wn.com/Essence_Of_Calculus,_Chapter_1
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- Duration: 1:27:26
- Updated: 22 Aug 2012
- views: 1047757

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- Duration: 9:14
- Updated: 29 Sep 2016
- views: 360346

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.”
**************
If you would like to help us make new videos, you can support us through Patreon at https://www.patreon.com/socratica
We also welcome Bitcoin donations! Our Bitcoin address is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!!
*******
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 for over 5 years before leaving to found Socratica.
You can follow Michael on Twitter @mlh496
*******
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https://wn.com/What_Is_Calculus_(Mathematics)
- Order:
- Duration: 21:58
- Updated: 19 May 2017
- views: 360539

TabletClass Math http://www.tabletclass.com learn the basics of calculus quickly. This video is designed to introduce calculus concepts for all math students and make the topic easy to understand.

https://wn.com/Understand_Calculus_In_10_Minutes
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- Duration: 2:46:04
- Updated: 01 Jan 2017
- views: 119053

This calculus review video tutorial provides an introduction / basic overview of the fundamental principles taught in an IB or AP calculus AB course. This video is also useful for students taking their first semester of college level calculus. It cover topics such as graphing parent functions with transformations, limits, continuity, derivatives, and integration. This video contains plenty of examples and practice problems.
Calculus Video Playlist:
https://www.youtube.com/watch?v=rCxi-O79sVo&t=25s&index=1&list=PL0o_zxa4K1BVKErFko9je9IBZ0hXWXVtV
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
Here is a list of topics:
1. Graphing Parent Functions With Transformations
2. Linear Functions, Quadratic & Cubic Functions
3. Rational Functions, Fractions, Square Roots, and Radical Functions
4. Exponential, Logarithmic and Trigonometric Functions
5. Limits - Direct Substitution, Factoring, Multiplying by the conjugation Given Radicals and Multiplying by the Common Denominator When Given Complex Fractions
6. Continuity - Point Discontinuity, Infinite Discontinuity, and Jump Discontinuity
7. 3 Step Continuity Test and Piecewise Functions
8. Average Rate of Change vs Instantaneous Rate of Change
9. Slope of the Secant Line vs Slope of the Tangent Line
10. Derivative Functions - Differentiation
11. Power Rule, Product & Quotient Rule, Chain Rule
12. Derivatives of Exponential Functions
13. Derivatives of Logarithmic Functions
14. Derivatives of Trigonometric Functions
15. Limit Definition of the Derivative f(x+h)
16. Alternative Form / Version - Limit Process
17. Relative Extreme Values - Local Minimum and Maximum Values - First Derivative Test and Sign Chart
18. Absolute Maxima and Minima
19. Critical Points, Horizontal and Vertical Tangent
20. How to find the critical numbers
21. Increasing and Decreasing Intervals and Functions
22. Concavity and Inflection Points - Second Derivative
23. Mean Value Theorem and Rolle's Theorem
24. Intermediate Value Theorem
25. Differentiation vs Integration
26. Basic Integration Rules
27. Antiderivatives, Definite Integral and Indefinite Integral
28. U-substitution Integration Technique
29. Rectilinear Particle Motion - Position, Velocity, Acceleration
30. Moving to the Right vs Moving to the left
31. When is the particle at rest or changing directions
32. Displacement vs Total Distance Traveled
33. Speeding up vs Slowing down
34. Velocity vs Speed

https://wn.com/Calculus_1_Introduction,_Basic_Review,_Limits,_Continuity,_Derivatives,_Integration,_Ib,_Ap,_Ab
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- Duration: 4:11
- Updated: 19 Nov 2015
- views: 151383

This video will give you a brief introduction to calculus. It does this by explaining that calculus is the mathematics of change. A couple of examples are presented, and then limits, derivatives, and integrals are introduced. For more videos please visit http://www.mysecretmathtutor.com

https://wn.com/Calculus_Introduction_To_Calculus
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- Duration: 9:05
- Updated: 11 Jun 2007
- views: 1648651

http://bit.ly/qYnN40 Want to see the ENTIRE Calculus in 20 Minutes for FREE? Click on this link to see all 20 minutes in the full multimedia environment.

https://wn.com/Calculus_I_In_20_Minutes_(The_Original)_By_Thinkwell
- Order:
- Duration: 51:33
- Updated: 16 Jan 2009
- views: 708381

Derivatives, slope, velocity, rate of change
View the complete course at: http://ocw.mit.edu/18-01F06
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

https://wn.com/Lec_1_|_Mit_18.01_Single_Variable_Calculus,_Fall_2007
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- Duration: 8:51
- Updated: 20 Apr 2012
- views: 721276

This talk describes the motivation for developing mathematical models, including models that are developed to avoid ethically difficult experiments. Three different examples from the field of human health are presented.
Jeffrey J. Heys is an assistant professor of chemical engineering at Montana State University. He received his B.S. in chemical engineering in 1996 from Montana State University, and his M.S. and Ph.D. from the University of Colorado at Boulder in 1998 and 2001,respectively. His research area is computational transport and computational fluid dynamics in biological systems with an emphasis on fluid-structure interaction and multiphase flows.
About TEDx, x = independently organized event
In the spirit of ideas worth spreading, TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized.*
(*Subject to certain rules and regulations)

https://wn.com/What_Is_Calculus_Used_For_|_Jeff_Heys_|_Tedxbozeman
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- Duration: 11:32
- Updated: 19 May 2011
- views: 3354797

Introduction to limits
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/limit-by-analyzing-numerical-data?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Differential Calculus channel:
https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy

https://wn.com/Introduction_To_Limits_|_Limits_|_Differential_Calculus_|_Khan_Academy
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- Duration: 15:37
- Updated: 01 May 2016
- views: 868480

Nancy is on a new channel, NancyPi! New videos with Nancy will be at: https://youtube.com/NancyPi - MIT grad shows how to find antiderivatives, or indefinite integrals, using basic integration rules. To skip ahead: 1) For how to integrate a polynomial with the POWER RULE, skip to 1:35. 2) For how to integrate NEGATIVE POWERS of x, FRACTIONAL POWERS of x, and RADICALS/ROOTS, skip to 6:12. 3) For how to integrate x^(-1), or 1/x, with the LOG RULE, skip to 7:23. 4) For examples where you use more algebra to rewrite before integrating, to SEPARATE the numerator of a FRACTION, or EXPAND a PRODUCT in order to use the Power Rule, skip to 10:00. 5) For basic TRIG and EXPONENTIAL examples that use rules from the Table of Integrals, as well as trig identities, skip to 11:36.
For my video on how to integrate using U-SUBSTITUTION, jump to: https://youtu.be/kTXnhwQKuvU
For my video on how to do INTEGRATION BY PARTS, jump to: https://youtu.be/pqKs3zcqJwU
1) POWER RULE: If you're integrating a polynomial, or just a power of x, you can use the Power Rule on each x-term in the polynomial. The Power Rule says that for a term that's just a power of x, such as x^3, you can integrate by raising the power by 1 AND dividing by that number (the new number you got by increasing the power by 1). For example, the integral of x^3 would be (x^4)/4. If there was a constant multiplied in front of the x-power, you can keep the constant and integrate the rest of the term (Constant Multiple Rule). For example, the integral of 6x^2 would be 6 times (x^3)/3, which simplifies to 2x^3. You can repeat these steps to integrate every term in the polynomial and string them together for the full integral. You can also keep the addition and subtraction between the terms (because of the Sum and Difference Rules). NOTE: The anti-derivative of a constant (just a number) is always that number times x (the Constant Rule), so the integral of 1 is 1*x, or x. At the end, it's very important to remember to add a constant of integration, to include a "+ c" at the end of your answer, when it is an indefinite integral (integral with no limits). ANOTHER NOTE: The Power Rule only works when the power is not -1.
2) NEGATIVE & FRACTIONAL POWERS, and RADICALS: For negative powers, you can still use the Power Rule, as long as the power is not -1. For fractional powers, you can also use the Power Rule. When you increase a fractional power by 1, you will have to simplify the power (before integrating) by getting a common denominator. For roots, like the square root of x, it's best to rewrite the radical as a fractional power, and then use the Power Rule.
3) IF THE X POWER IS -1 in the integrand, either written as x^(-1) or 1/x, you have to use a special rule, the LOG RULE, that you can find on a Table of Integrals. It says that the anti-derivative of x^(-1), or (1/x) is the natural log of the absolute value of x, plus c.
4) MORE ALGEBRA: Sometimes you may need to do a bit more algebra before integrating, so that the integrand is in a form that fits a basic integration rule, like the Power Rule. If you're integrating a rational expression, you can sometimes separate the numerator, or break the fraction into separate fractions, simplify each term, and then integrate with the Power Rule. If you have a product of x expressions, you can multiply it out, or distribute the factors so that you have just a polynomial (and can use the Power Rule).
5) TRIG & EXPONENTIAL: You can find a lot of trigonometric (and exponential) integral rules in the Table of Integrals. If you don't see it in the table, you may need to use a trig identity first, to rewrite the integrand into a form that you can integrate.

https://wn.com/❤︎²_Basic_Integration..._How_(Mathbff)
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- Duration: 3:08
- Updated: 21 Aug 2013
- views: 144010

If you are wondering what Calculus is, or what you're teacher was ranting on about, this is a quick look at the basic idea behind it all.
The next part is here: http://youtu.be/wD4FLB0Sp54
Don't worry, I'm still going to make Quantum mechanics videos too :)

https://wn.com/The_Basic_Idea_Of_Calculus
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- Duration: 19:53
- Updated: 09 May 2017
- views: 399027

The foreign concepts of calculus often make it hard to jump right into learning it. If you ever wanted to dive into the world of mathematics - or if you are just having difficulty in your calculus class - and are having a hard time grasping the ideas, you should watch this video to go over the core principles of calculus in a way that requires no background knowledge: at a fifth grade level.
See also:
Infinity: https://www.youtube.com/watch?v=YnJe9eGsetk
Trailer: https://www.youtube.com/watch?v=WiENvb2vxcQ
Music by Esther Garcia and Kara Square from www.jamendo.com. Sound effects from www.freesound.org and Finnolia Sound Effects on YouTube.

https://wn.com/Calculus_At_A_Fifth_Grade_Level
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- Duration: 24:44
- Updated: 13 Dec 2011
- views: 339696

A documentary on Leibniz and the calculus.

https://wn.com/The_Birth_Of_Calculus_(1986)
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- Duration: 46:17
- Updated: 08 Jul 2013
- views: 411445

This video shows how calculus is both interesting and useful. Its history, practical uses, place in mathematics and wide use are all covered. If you are wondering why you might want to learn calculus, start here!

https://wn.com/Calculus_What_Is_It
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- Duration: 9:26
- Updated: 03 Oct 2007
- views: 1619119

Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/formal-and-alternate-form-of-the-derivative-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Differential Calculus channel:
https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy

https://wn.com/Calculus_Derivatives_1_|_Taking_Derivatives_|_Differential_Calculus_|_Khan_Academy
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- Duration: 37:47
- Updated: 05 May 2010
- views: 726874

Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations, such as:
* driving a car
* climbing a mountain
* growing to full adult height
View the complete course at: http://ocw.mit.edu/highlights-of-calculus
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

https://wn.com/Big_Picture_Of_Calculus
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- Duration: 19:04
- Updated: 11 Apr 2014
- views: 381773

Easy to understand explanation of integrals and derivatives using 3D animations.

https://wn.com/Calculus_The_Foundation_Of_Modern_Science
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- Duration: 6:04
- Updated: 22 May 2009
- views: 1260903

Calculus Rhapsody
By Phil Kirk & Mike Gospel
Is this x defined?
Is f continuous?
How do you find out?
You can use the limit process.
Approach from both sides,
The left and the right and meet.
Im a just a limit, defined analytically
Functions continuous,
Theres no holes,
No sharp points,
Or asymptotes.
Any way this graph goes
It is differentiable for me for me.
All year, in Calculus
Weve learned so many things
About which we are going to sing
We can find derivatives
And integrals
And the area enclosed between two curves.
Y prime oooh
Is the derivative of y
Y equals x to the n, dy/dx
Equals n times x
To the n-1.
Other applications
Of derivatives apply
If y is divided or multiplied
You use the quotient
And product rules
And dont you forget
To do the dance
Also oooh (dont forget the chain rule)
Before you are done,
You gotta remember to multiply by the chain
(Instrumental solo)
I need to find the area under a curve
Integrate! Integrate! You can use the integration
Raise exponent by one multiply the reciprocal
Plus a constant
Plus a constant
Add a constant
Add a constant
Add a constant labeled C
(Labeled C-ee-ee-ee-ee)
Im just a constant
Nobody loves me.
Hes just a constant
Might as well just call it C
Never forget to add the constant C
Can you find the area between f and g
In-te-grate f and then integrate g
(then subtract)
To revolve around the y-axis
(integrate)
outer radius squared minus inner radius squared
(multiplied)
multiplied by pi
(multiply)
Multiply the integral by pi!
Pi tastes real good with whipped cream!
Mama-Mia, Mama-Mia
Mama-Mia let me go.
Pre-calculus did not help me to prepare for Calculus, for Calculus, help me!
So you think you can find out the limit of y?
So you think youll find zero and have it defined
Oh baby cant define that point baby
Its undefined
Goes to positive and negative infinity
Oooh. Oooh yeah, oooh yeah.
Differentiation
Anyone can see
Any mere equation
It is differentiable for me.
(Any way this graph goes)

https://wn.com/Calculus_Rhapsody
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- Duration: 4:23
- Updated: 22 Jan 2016
- views: 155660

why study differentiation and integration

https://wn.com/1._What_Is_Calculus_|_(Hindi)
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- Duration: 18:16
- Updated: 16 Apr 2013
- views: 458247

Calculus in 20 Minutes Full Video by Edward Burger with content box, key idea box & definition box: https://www.youtube.com/watch?v=L5GmSYipz6A
What is calculus?
Rates of change - Limits - The derivative - Applications of the derivative - Applications of intergration.
Calculus answers two basic questions: how do you find instantaneous rates of change, and how do you find the area under a curve?
The derivative is an equation that gives the slope of the line tangent to a function. IKt is the basic of differential calculus which solves the instantaneous rate problem.
An integral undoes a derivative, giving back the original function. Integral calculus goes backwards from differential calculus and solves for area under a curve.

https://wn.com/Calculus_In_20_Minutes_Reviewing_Calculus
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- Duration: 12:11
- Updated: 26 Jun 2015
- views: 87691

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- Duration: 7:57
- Updated: 20 May 2010
- views: 212208

Today, calculus is one of the most important fields of mathematics. However, two men claimed to be its inventor - Isaac Newton and Gottfried Leibniz. The ensuing dispute would embroil Europe in the greatest mathematical controversy of all time.

https://wn.com/The_Calculus_Controversy
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- Duration: 3:11
- Updated: 16 Jul 2015
- views: 8531

This video is from https://www.futurelearn.com/courses/real-world-calculus/ ‘Real World Calculus: How Maths Drives Formula One and Launches Angry Birds’ is a free online course by the University of Leicester available on FutureLearn.com
In this video, Dr Mark Wilkinson, Lecturer in Physics and Astronomy at the University of Leicester, introduces us to planetary motion by explaining how calculus is used in space travel, and to work out the orbits of planets, looking at the forces of planets on one another.
At FutureLearn, we want to inspire learning for life. We offer a diverse selection of free, high quality online courses from some of the world's leading universities and other outstanding cultural institutions. Browse all courses and sign up here: http://www.futurelearn.com

https://wn.com/How_Is_Calculus_Used_In_Space_Travel