Calculus

31:22 New
The Trillion Dollar Equation
/ 6 viewsThe most famous equation in finance, the BlackScholes/Merton equation, came from physics. It launched an industry worth trillions of dollars and led to the worlds best investments. Go to https://www.eightsleep.com/veritasium and use the code Veritasium f

All About Topology
/ 98 viewsPlastic version: http://shpws.me/HEtjThis is joint work with Keenan Crane.I never said it was a good joke.

14:48
The Fourier Series and Fourier Transform Demystified
/ 110 viewsWatch over 2,400 documentaries for free for 30 days AND get a free Nebula account by signing up at https://curiositystream.com/upandatom and using the code "upandatom". Once you sign up you'll get an email about Nebula. If you don't get one, contact the c

00:38
Let's Play With Matches #shorts
/ 134 viewsWith just 8 matches (or pens or qtips or anything straight), you can tie up your mind for hours, days, or WEEKS. The idea is to develop a basic understanding of graph theory, which focuses on the relationships between things  and you can express those

20:57
But what is the Fourier Transform? A visual introduction.
/ 122 viewsAn animated introduction to the Fourier Transform. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/fourierthanks

26:33
The Algorithm That Transformed The World
/ 119 viewsThe Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race. This video is sponsored by 80,000 Hours. Head to http://80000hours.org/veritasium to sign up for their newsletter and get sent

00:59
Are There Infinite Infinities? #shorts
/ 186 viewsBitdefender Total Security (Extended Free Trial)  https://www.bitdefender.com/media/html/consumer/new/WISBitdefender/?cid=inf&7Cc%7Cig7CVS2Q4Thanks to Bitdefender for supporting Vsauce2.We know what infinity is... it's something that never ends. It's r

23:29
How Imaginary Numbers Were Invented
/ 263 viewsA general solution to the cubic equation was long considered impossible, until we gave up the requirement that math reflect reality. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a y

24:26
The Beauty of Bzier Curves
/ 170 viewsBézier curves  how do they do? They're used for animation, text rendering, and all sorts of curved shapes! But how do they actually work? well, like, that's what the video is about, so, watch it to find out etc!! • Lots of love to Jazz "queen

34:00
There's a Hole at the Bottom of Math
/ 386 viewsNot everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium ge

1:04:56
Optimization Problems  Calculus
/ 409 viewsThis calculus video explains how to solve optimization problems. It explains how to solve the fence along the river problem, how to calculate the minimum distance between a point and a line, and how to maximize area while minimizing perimeter as in the ca

48:59 Popular
Area Between Two Curves
/ 958 viewsThis calculus video tutorial provides a basic introduction in finding the area between two curves with respect to y and with respect to x. It explains how to set up the definite integral to calculate the area of the shaded region bounded by the two curves

21:35 Popular
How To Integrate Using USubstitution
/ 962 viewsThis calculus video tutorial provides a basic introduction into usubstitution. It explains how to integrate using usubstitution. You need to determine which part of the function to set equal to the u variable and you to find the derivative of u to get d

16:24
The most important unsolved problem in all of math. The Riemann Hypothesis.
/ 286 viewsThe Riemann hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjecture has maintained the status of the "Holy Grail" of mathematics. In fact, the person who solves

14:44
Newton's quarantine notes that changed math forever
/ 311 viewsDocuments shown:October 1666 Tract on Fluxions (Original) [Starts page 93/190. Demonstration on page 100]: https://cudl.lib.cam.ac.uk/view/MSADD03958/93October 1666 Tract on Fluxions (Translated): http://www.newtonproject.ox.ac.uk/view/texts/normalized/

13:50
Newton and Leibniz: Crash Course History of Science #17
/ 364 viewsThe standard story of the Scientific Revolution culminates with the long life of one man: Sir Isaac Newtona humble servant of the Royal Mint, twotime parliamentarian, and a scientific titan whose name, along with Einsteins, is synonymous with physics tod

06:45
How to Read Math
/ 473 viewsBaffled by equations, well no more! Continue learning at this video's sponsor https://brilliant.org/dosLots of people find mathematical equations intimidating because they don't make sense. But they are not hard to understand if you follow a few steps, an

07:43
Calculus, what is it good for?
/ 417 viewsCalculus is an incredibly useful tool for deriving new physics. Check out this video's sponsor https://brilliant.org/dosHere is a brief description of calculus, integration and differentiation and one example of where it is useful: deriving new physics. I

15:16
So why do colliding blocks compute pi?
/ 485 viewsPart 1: https://youtu.be/HEfHFsfGXjs Part 3: https://youtu.be/brU5yLm9DZM Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/clacksthanks Many of you shared solutions, attempts, and simulations with me this last week. I loved it

09:31
Infinite Series  Numberphile
/ 450 viewsFields Medallist Charlie Fefferman talks about some classic infinite series. More links & stuff in full description below ↓↓↓ Charles Fefferman at Princeton: https://www.math.princeton.edu/people/charlesfefferman Numberphile is supported by the Mathemati

09:02
How To Think About Imaginary Numbers
/ 496 viewsSign up to brilliant.org with this link to receive a 20% discount! https://brilliant.org/upandatom/ For more info on imaginary numbers read these articles! https://betterexplained.com/articles/avisualintuitiveguidetoimaginarynumbers/ http://acko.net

08:25
What is a Fourier Series? (Explained by drawing circles)  Smarter Every Day 205
/ 692 viewsGet a free crate for a kid you love (Awesome Chrsitmas gifts) at: https://www.kiwico.com/smarter Click here if you're interested in subscribing: http://bit.ly/Subscribe2SED ⇊ Click below for more links! ⇊ Doga's a super smart dude who writes a Turkish blo

07:15
Product Rule for derivatives: Visualized with 3D animations
/ 522 viewsVisual representation of the product rule for derivatives in Calculus.

08:23
Polynomial derivatives: 3D visualization
/ 434 viewsHow to visualize the derivatives of polynomials.

19:04
Calculus  The foundation of modern science
/ 447 viewsEasy to understand explanation of integrals and derivatives using 3D animations.

03:51
Drawing the 4th, 5th, 6th, and 7th dimension
/ 578 viewsHow to draw 4, 5, 6, and 7 dimensional objects.

19:56
Laplace Transform Explained and Visualized Intuitively
/ 620 viewsLaplace Transform explained and visualized with 3D animations, giving an intuitive understanding of the equations. My Patreon page is at https://www.patreon.com/EugeneK

24:49
Stability Analysis, State Space  3D visualization
/ 408 viewsIntroduction to Stability and to State Space. Visualization of why real components of all eigenvalues must be negative for a system to be stable. My Patreon page is at https://www.patreon.com/EugeneK

12:42
Eigenvalues and Eigenvectors, Imaginary and Real
/ 470 views3D visualization of eigenvectors and eigenvalues. Includes imaginary and real components. My Patreon page is at https://www.patreon.com/EugeneK

22:56
Quantum Spin  Visualizing the physics and mathematics
/ 495 viewsQuantum spin states explained with 3D animations. My Patreon page is at https://www.patreon.com/EugeneK

08:58
Schrodinger's Equation
/ 470 viewsSchrodinger's Equation for wave functions in Quantum Physics. My Patreon Page is at https://www.patreon.com/EugeneK

16:02
Double integrals and Polar integrals: Explained with 3D visualizations
/ 451 viewsDouble integrals in rectangular and polar coordinates. Explained with easy to understand 3D animations. My Patreon page is at https://www.patreon.com/EugeneK

05:24
Gradients and Partial Derivatives
/ 489 views3D visualization of partial derivatives and gradient vectors. My Patreon account is at https://www.patreon.com/EugeneK

25:33
Divergence and Curl
/ 446 viewsVisualization of the Divergence and Curl of a vector field. My Patreon Page: https://www.patreon.com/EugeneK

14:33
Imaginary Numbers, Functions of Complex Variables: 3D animations.
/ 522 viewsVisualization explaining imaginary numbers and functions of complex variables. Includes exponentials (Euler’s Formula) and the sine and cosine of complex numbers.

15:45
Fourier Transform, Fourier Series, and frequency spectrum
/ 594 viewsFourier Series and Fourier Transform with easy to understand 3D animations.

02:29 Popular
Division with Zero  Maths Tricks #4
/ 1,500 viewsIn this video Bawa first explains what is division and then goes on to talk about division by zero. You will understand exactly why anything divided by zero is not defined, zero divided by anything is zero and zero divided by itself is indeterminate. This

04:01 Popular
Product rule  Calculus derivatives tutorial
/ 966 viewsLearn how to take the derivative of a function using the product rule. This complete calculus derivatives tutorial explains why and how to use the product rule. To see all my calculus videos check out my website http://MathMeeting.com My name is Chris and

07:16
Derivative as a concept
/ 589 viewsIntroduction to the idea of a derivative as instantaneous rate of change or the slope of the tangent line.

19:53 Popular
Calculus at a Fifth Grade Level
/ 1,171 viewsThe 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

04:22 Popular
Calculus Limits  Factoring Example
/ 1,399 viewsLearning Calculus limits is a breeze with this tutorial and video example.. This example teaches you how to solve limits by factoring. Check out my Calculus limits playlist if you want some harder examples. I also offer live tutoring if you need any extra

04:30 Popular
Calculus Limits  Easy Problem and Introduction
/ 1,226 viewsLearning Calculus limits is a breeze with this problem and introduction. This example is an easy problem. Check out my Calculus limits playlist if you want some harder examples. I also offer live tutoring if you need any extra help. Check out my website i

05:47 Popular
Imaginary Numbers Are Real [Part 1: Introduction]
/ 1,522 viewsMore information and resources: http://www.welchlabs.com Imaginary numbers are not some wild invention, they are the deep and natural result of extending our number system. Imaginary numbers are all about the discovery of numbers existing not in one dimen

10:42
e  Famed Euler's Number.
/ 543 viewsFree trial at The Great Courses Plus: http://ow.ly/tKWt306Gg7a Dr James Grime discusses "e"  the famed Euler's Number. A bit extra from this video: https://youtu.be/uawO3tjP1c More James Grime videos from Numberphile: http://bit.ly/grimevideos NUMBERPHI

10:09
Integrals: Crash Course Physics #3
/ 613 viewsContinuing with last week's introduction of calculus, Shini leads us through the ways that integrals can help us figure out things like distance when we have several other key bits of information. Say, for instance, you wanted to know how far your window

10:02 Popular
Derivatives: Crash Course Physics #2
/ 1,092 viewsCALCULUS! Today we take our first steps into the language of Physics; mathematics. Every branch of science has its own way to describe the things that it investigates. And, with Physics, that's math. In this episode, Shini talks us through derivatives and

09:07
Newton Leibniz And Usain Bolt
/ 599 viewsWhy we study differential calculus More free lessons at: http://www.khanacademy.org/video?v=EKvHQc3QEow

02:55
Example Comparing X Components Of Vectors
/ 589 viewsExample comparing x components of vectors

07:15
Deriving Formula For Sum Of Finite Geometric Series
/ 637 viewsDeriving formula for sum of finite geometric series

05:21 Popular
Finding Sum From Recursive Definition Of Sequence
/ 805 viewsFinding sum from recursive definition of sequence

02:28 Popular
Linear And Exponential Growth — Basic Example  Math  New SAT  Khan Academy
/ 1,117 viewsWatch Sal work through a basic Linear and exponential growth problem. Watch the next lesson: https://www.khanacademy.org/testprep/newsat/newsatmath/newsatproblemsolvingdataanalysis/v/satmathq6harder?utm_source=YT&utm_medium=Desc&utm_campaign=N

05:18 Popular
Linear And Exponential Growth — Harder Example  Math  New SAT  Khan Academy
/ 846 viewsWatch Sal work through a harder Linear and exponential growth problem. Watch the next lesson: https://www.khanacademy.org/testprep/newsat/newsatmath/newsatproblemsolvingdataanalysis/v/satmathq8easier?utm_source=YT&utm_medium=Desc&utm_campaign=

05:43 Popular
Modeling Situations With Arithmetic And Geometric Sequences
/ 803 viewsModeling situations with arithmetic and geometric sequences

05:38 Popular
Defining Geometric Sequence Explicitly And Recursively
/ 832 viewsDefining geometric sequence explicitly and recursively

06:08 Popular
Converting Between Explicit And Recursive Function Definitions For Arithmetic Sequence
/ 959 viewsConverting between explicit and recursive function definitions for arithmetic sequence

06:17 Popular
Explicitly Defining Function For Arithmetic Sequence
/ 705 viewsExplicitly defining function for arithmetic sequence

09:07 Popular
Recursive Functions To Define Sequences
/ 701 viewsRecursive functions to define sequences

11:39
Optimization  Maximum Profit
/ 556 viewsOptimization is explained completely in this calculus video. In this example we maximize profit using optimization. I also provided the links for my other optimization videos as well. Optimization  "minimum fence required" example https://www.youtube.com

18:57
Optimization  Minimum Time To Cross River
/ 670 viewsOptimization is explained completely in this calculus video. In this example we maximize profit using optimization. I also provided the links for my other optimization videos as well. Optimization  "minimum fence required" example https://www.youtube.com

04:51
Integration By Parts  With Natural Log
/ 644 viewsIntegration by parts example with a natural log. Check out all of my videos on my channel page http://youtube.com/MathMeeting. For Free homework help check out my website http://MathMeeting.com

10:45
Optimization  Minimum Sum Of Two Numbers
/ 570 viewsOptimization is explained completely in this calculus video. I also provided the links for my other optimization videos as well. Optimization  "minimum fence required" example https://www.youtube.com/watch?v=kV3K4Ppz6fw Optimization  "Maximum volume of

11:51 Popular
Optimization  Calculus
/ 716 viewsOptimization is explained completely in this calculus video. I also provided the links for my other optimization videos as well. Optimization  "minimum sum of two numbers" example https://www.youtube.com/watch?v=WJy3EEJPV3g Optimization  "Maximum volume

04:05
(3/4) Analysis: Explaining Fourier Analysis With A Machine
/ 686 views► Learn more at: http://www.engineerguy.com/fourier ► Buy the book on Amazon: http://www.amazon.com/gp/product/0983966176/ ► Buy the posters on Zazzle: http://www.zazzle.com/engineerguy ► Main videos in the series: (1/4) Introduction: https://www.youtube.
Featured 
15:22
Optimization  Maximum Volume Of Box
/ 614 viewsOptimization is explained completely in this calculus video. I also provided the links for my other optimization videos as well. Optimization  "minimum fence required" example https://www.youtube.com/watch?v=kV3K4Ppz6fw Optimization  "Minimum sum of two

02:44 Popular
Domain And Range For Piecewise Constant Function
/ 998 viewsDomain and Range for piecewise constant function

07:25 Popular
Domain And Range For Piecewise Linear Function
/ 811 viewsDomain and range for piecewise linear function

03:04
Identifying Relative And Global Maxima And Minima
/ 598 viewsExamples identifying relative maximum points, relative minimum points, global maximum points and global minimum points.

05:56
Intervals When Function Is Increasing, Decreasing, Postive Or Negative
/ 663 viewsIntervals when function is increasing, decreasing, postive or negative

03:55 Popular
Interpreting Function Graphs Word Problems
/ 908 viewsInterpreting function graphs word problems

03:40 Popular
Average Rate Of Change For Function From Table
/ 839 viewsAverage rate of change for function from table

04:33 Popular
Average Rate Of Change With Function Notation
/ 4,451 viewsAverage rate of change with function notation

1:27:26 Popular
Calculus 1 Lecture 1.1: An Introduction to Limits
/ 843 viewsCalculus 1 Lecture 1.1: An Introduction to Limits. Great intro video on Calculus.

04:24 Popular
Examples Evaluating Piecewise Functions
/ 745 viewsExamples evaluating piecewise functions

07:14 Popular
Examples Of Finding The Domain Of A Function
/ 762 viewsExamples of finding the domain of a function

02:34 Popular
Domain Of Function Modeling Candy Bars
/ 757 viewsDomain of function modeling candy bars

09:48 Popular
Equation For Parabola From Focus And Directrix
/ 721 viewsEquation for parabola from focus and directrix

06:25
Change In Continuous Function Approaches 0
/ 653 viewsChange in continuous function approaches 0

04:48 Popular
Infinite Series As Limit Of Partial Sums
/ 834 viewsInfinite series as limit of partial sums

08:08 Popular
Restricting Domain Of Function To Make Invertible
/ 749 viewsRestricting domain of function to make invertible

12:59
Simple Differential Equation Example
/ 614 views2010 IIT JEE Paper 1 Problem 56 Differential Equation More free lessons at: http://www.khanacademy.org/video?v=fqnPabGV6A4

14:18 Popular
Series Sum Example
/ 765 views2010 IIT JEE Paper 1 Problem 54 Series Sum More free lessons at: http://www.khanacademy.org/video?v=A6fbDssPeac

12:58 Popular
Complex Determinant Example
/ 814 views2010 IIT JEE Paper 1 Problem 53 Complex Determinant More free lessons at: http://www.khanacademy.org/video?v=E7OkUomRq1Q

09:58
Normal vector from plane equation
/ 660 viewsFiguring out a normal vector to a plane from its equation More free lessons at: http://www.khanacademy.org/video?v=gw4wltP5tY

10:04 Popular
Tangent Line Hyperbola Relationship (very optional)
/ 1,188 viewsHow a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video) More free lessons at: http://www.khanacademy.org/video?v=c_8QQbVQKU0

11:30 Popular
IIT JEE Lagrange's Formula
/ 800 views2010 IIT JEE Paper 1 Problem 49 Lagrange's Formula More free lessons at: http://www.khanacademy.org/video?v=rndex9FCIdo

14:25 Popular
Vector Triple Product Expansion (very optional)
/ 869 viewsA shortcut for having to evaluate the cross product of three vectors More free lessons at: http://www.khanacademy.org/video?v=b7JTVLc_aMk

09:55 Popular
IIT JEE Trigonometric Maximum
/ 755 views2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum More free lessons at: http://www.khanacademy.org/video?v=tzR9jUCSniQ

12:49 Popular
IIT JEE Trigonometric Constraints
/ 799 views2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints More free lessons at: http://www.khanacademy.org/video?v=EjtjdJZ2x8w

12:17 Popular
IIT JEE Circle Hyperbola Common Tangent Part 5
/ 849 views2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5 More free lessons at: http://www.khanacademy.org/video?v=rPoqpQcgNv4

10:36
IIT JEE Circle Hyperbola Common Tangent Part 4
/ 683 views2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4 More free lessons at: http://www.khanacademy.org/video?v=eGo8C2Jshzs

08:55
IIT JEE Circle Hyperbola Common Tangent Part 3
/ 689 views2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3 More free lessons at: http://www.khanacademy.org/video?v=RomnHMWSLoE

10:45 Popular
IIT JEE Circle Hyperbola Common Tangent Part 2
/ 708 views2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2 More free lessons at: http://www.khanacademy.org/video?v=0imeUgSxR10

06:16 Popular
IIT JEE Circle Hyperbola Common Tangent Part 1
/ 748 views2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan More free lessons at: http://www.khanacademy.org/video?v=MhLfun2Vask

12:44 Popular
IIT JEE Circle Hyperbola Intersection
/ 777 views2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection More free lessons at: http://www.khanacademy.org/video?v=6g3DPg2HqGw

13:44 Popular
IIT JEE Integral with Binomial Expansion
/ 773 views2010 IIT JEE Paper 1 Problem 41 Integral with Binomial Expansion and Algebraic Long Division More free lessons at: http://www.khanacademy.org/video?v=15sTDLrcp4

14:00 Popular
IIT JEE Differentiability and Boundedness
/ 719 views2010 IIT JEE Paper 1 Problem 40 Differentiability and Boundedness More free lessons at: http://www.khanacademy.org/video?v=FIt1RNiCO6U

03:09 Popular
IIT JEE Complex Numbers (part 3)
/ 702 views2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3) More free lessons at: http://www.khanacademy.org/video?v=FwA_UZkIJM

07:26 Popular
IIT JEE Complex Numbers (part 2)
/ 726 views2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2) More free lessons at: http://www.khanacademy.org/video?v=pQwoBOpVoWw

07:21 Popular
IIT JEE Complex Numbers (part 1)
/ 783 views2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1) More free lessons at: http://www.khanacademy.org/video?v=_5ei_I02huY

07:48 Popular
IIT JEE Diameter Slope
/ 739 views2010 IIT JEE Paper 1 problem 37 Diameter Slope More free lessons at: http://www.khanacademy.org/video?v=pdXcf5ZWHf0

09:29 Popular
IIT JEE Function Maxima
/ 735 views2010 IIT JEE Paper 1 problem 36 Function Maxima More free lessons at: http://www.khanacademy.org/video?v=2E_DB5VuAoo

13:11 Popular
IIT JEE Algebraic Manipulation
/ 718 views2010 Paper 1 problem 35 Algebraic Manipulation More free lessons at: http://www.khanacademy.org/video?v=zs5LM7dxyTo

07:05 Popular
IIT JEE Integral Limit
/ 744 views2010 IIT JEE Paper 1 #34 Integral Limit More free lessons at: http://www.khanacademy.org/video?v=pnwrNnZGVEw

06:43 Popular
IIT JEE Position Vectors
/ 781 views2010 IIT JEE Paper 1 problem 32 Position Vectors More free lessons at: http://www.khanacademy.org/video?v=GDXyGy5TjnI

08:24 Popular
IIT JEE Complex Root Probability (part 2)
/ 763 views2010 Paper 1 problem 31 Math (part 2).avi More free lessons at: http://www.khanacademy.org/video?v=S3KMyYYGuPE

13:43
IIT JEE Complex Root Probability (part 1)
/ 690 views2010 Paper 1 problem 31 Math (part 1) More free lessons at: http://www.khanacademy.org/video?v=bV_HSZ_W0nk

10:26 Popular
IIT JEE Perpendicular Planes (Part 1)
/ 819 views2010 IIT JEE Paper 1 #30 normal vector and planes (Part 1) More free lessons at: http://www.khanacademy.org/video?v=2u535HVJ_o

09:32
2003 AIME II Problem 15 (part 3)
/ 633 viewsFinding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial More free lessons at: http://www.khanacademy.org/video?v=JTpXK2mENH4

05:20
Introduction to i and Imaginary Numbers
/ 645 viewsIntroduction to i and imaginary numbers More free lessons at: http://www.khanacademy.org/video?v=ysVcAYo7UPI

15:43 Popular
Calculus: Derivatives 1 (new HD version)
/ 874 viewsCalculusDerivative: Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line) More free lessons at: http://www.khanacademy.org/video?v=ANyVpMS3HL4

09:12
Koch Snowflake Fractal
/ 685 viewsA shape that has an infinite perimeter but finite area More free lessons at: http://www.khanacademy.org/video?v=azBNsPa1WC4

06:01
Visualizing Taylor Series Approximations
/ 690 viewsUsing Wolfram Alpha to approximate sin(x) More free lessons at: http://www.khanacademy.org/video?v=8dMLK2Wueaw