- published: 28 Apr 2017
- views: 618447

developed with YouTube

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- Duration: 17:05
- Updated: 28 Apr 2017
- views: 618447

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
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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
Various social media stuffs:
Website: https://www.3blue1brown.com
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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: 1014031

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- Duration: 9:14
- Updated: 29 Sep 2016
- views: 339098

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.”
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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!!
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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 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)
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- Duration: 2:46:04
- Updated: 01 Jan 2017
- views: 101158

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: 139515

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: 21:58
- Updated: 19 May 2017
- views: 265341

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: 9:05
- Updated: 11 Jun 2007
- views: 1642311

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
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- Duration: 3:08
- Updated: 21 Aug 2013
- views: 139999

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: 2:57
- Updated: 14 Mar 2013
- views: 241243

► My ebook: https://www.kristakingmath.com/calculus-ebook
"What is calculus?" is a question many calculus students never learn the answer to!
Understanding what calculus is before you start learning how to use it will give you a better context for the whole course.
Calculus is the mathematical study of change, in the same way that geometry is the mathematical study of shape, or that trigonometry is the mathematical study of triangles.
Derivatives and integrals are the major concepts you'll learn in calculus. Derivatives allow you to find slope (rise over run), and integrals allow you to find area.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
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PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

https://wn.com/What_Is_Calculus_(Kristakingmath)
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- Duration: 46:17
- Updated: 08 Jul 2013
- views: 405222

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: 19:53
- Updated: 09 May 2017
- views: 365924

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: 4:23
- Updated: 22 Jan 2016
- views: 144161

why study differentiation and integration

https://wn.com/1._What_Is_Calculus_|_(Hindi)
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- Duration: 12:11
- Updated: 26 Jun 2015
- views: 75662

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- Duration: 9:26
- Updated: 03 Oct 2007
- views: 1592862

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: 24:44
- Updated: 13 Dec 2011
- views: 330576

A documentary on Leibniz and the calculus.

https://wn.com/The_Birth_Of_Calculus_(1986)
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- Duration: 8:51
- Updated: 20 Apr 2012
- views: 708744

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: 51:33
- Updated: 16 Jan 2009
- views: 703179

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: 37:47
- Updated: 05 May 2010
- views: 716615

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: 371901

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: 46:51
- Updated: 16 Jun 2009
- views: 1012363

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- Duration: 11:32
- Updated: 19 May 2011
- views: 3282730

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: 1:32
- Updated: 17 Feb 2009
- views: 420295

This clip provides an introduction to Calculus. More information can be found at www.cerebellum.com.

https://wn.com/What_Is_Calculus
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- Duration: 15:37
- Updated: 01 May 2016
- views: 806983

MIT grad shows how to find antiderivatives, or indefinite integrals, using basic integration rules. More videos with Nancy coming in 2017! 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: 5:03
- Updated: 22 Feb 2016
- views: 501112

In this edition of “CBS This Morning’s” Pushing the Limits series, we met two high school students who not only conquered calculus, but also pulled off an achievement that can stump college professors. Of more than 302,000 students around the world who took the Advanced Placement calculus test last year, Landon Labuske and Cedrick Argueta were two of only 12 who achieved a perfect score. Chip Reid reports.

https://wn.com/Meet_2_Students_Who_Earned_Perfect_Score_On_Ap_Calculus_Exam