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Calculus - Partial Derivatives, Gradient, Divergence, Curl: Partial Derivatives
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Let's jump out of that boring (okay, it wasn't THAT boring) 2-D world into the exciting 3-D world that we all live and breath in. Instead of functions of x that can be visualized as lines, we can have functions of x and y that can be visualized as surfaces. But does the idea of a derivative still make sense? Of course it does! As long as you specify what direction you're going in. Welcome to the world of partial derivatives!

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
07/07/2021
Calculus - Sequences, Series and Function Approximation: Maclaurin and Taylor Series
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In this tutorial, we will learn to approximate differentiable functions with polynomials. Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate. So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun. If that isn't motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler's identity.

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
07/07/2021
Calculus - Surface Integrals and Stokes' Theorem: Parameterizing a Surface
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You can parameterize a line with a position vector valued function and understand what a differential means in that context already. This tutorial will take things further by parametrizing surfaces (2 parameters baby!) and have us thinking about partial differentials.

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
07/07/2021
Calculus - Surface Integrals and Stokes' Theorem: Proof of Stokes' Theorem
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You know what Stokes' theorem is and how to apply it, but are craving for some real proof that it is true. Well, you've found the right tutorial!

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
07/07/2021
Calculus - Surface Integrals and Stokes' Theorem: Surface Integrals
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Finding line integrals to be a bit boring? Well, this tutorial will add new dimension to your life by explore what surface integrals are and how we can calculate them.

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
07/07/2021
Calculus: Taking Derivatives
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This series of videos focusing on calculus covers calculating derivatives, power rule, product and quotient rules, chain rule, implicit differentiation, derivatives of common functions.

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
07/07/2021
Calculus - Taking Derivatives: Chain Rule
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You can take the derivatives of f(x) and g(x), but what about f(g(x)) or g(f(x))? The chain rule gives us this ability. Because most complex and hairy functions can be thought of the composition of several simpler ones (ones that you can find derivatives of), you'll be able to take the derivative of almost any function after this tutorial. Just imagine.

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
07/07/2021
Calculus - Taking Derivatives: Introduction To Differential Calculus
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The topic that is now known as "calculus" was really called "the calculus of differentials" when first devised by Newton (and Leibniz) roughly four hundred years ago. To Newton, differentials were infinitely small "changes" in numbers that previous mathematics didn't know what to do with. Think this has no relevence to you? Well how would you figure out how fast something is going *right* at this moment (you'd have to figure out the very, very small change in distance over an infinitely small change in time)? This tutorial gives a gentle introduction to the world of Newton and Leibniz.

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
07/07/2021
Calculus - Taking Derivatives: Proofs of Derivatives of Common Functions
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We told you about the derivatives of many functions, but you might want proof that what we told you is actually true. That's what this tutorial tries to do!

Subject:
Calculus
Functions
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
07/07/2021
Campin's Christ and the Virgin
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This art history video discussion examines Robert Campin's (also called the Master of Flemalle) "Christ and the Virgin," c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021
Campin's Merode Altarpiece
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This art history video discussion examines Robert Campin's Merode Altarpiece, tempera and oil on panel, 1425-28 (Metropolitan Museum of Art).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021
Caravaggio's Calling of Saint Matthew
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This art history video discussion examines Caravaggio's "Calling of St. Matthew," oil on canvas, c. 1599-1600 (Contarelli Chapel, San Luigi dei Francesi, Rome).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021
Caravaggio's Crucifixion of Saint Peter
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This art history video discussion examines Caravaggio's "Crucifixion of St. Peter", oil on canvas, 1601 (Santa Maria del Popolo, Rome).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021
Caravaggio's Death of the Virgin
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This art history video discussion examines Caravaggio's "Death of the Virgin," 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Musee du Louvre, Paris). Painted for the altar of a family chapel in the church of Santa Maria della Scala del Trastevere, Rome.

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021