This series of videos focusing on calculus covers parameterizing a surface, surface integrals, stokes' theorem.

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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.

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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!

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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.

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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.

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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.

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Discover what magic we can derive when we take a derivative, which is the slope of the tangent line at any point on a curve.

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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.

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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!

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This lesson reviews how to change an improper fraction to a mixed number.

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Chemical bonds are the glue that hold molecules together. We will learn about the different kinds of bonds, ways chemists draw bonds and molecules, and how the type of chemical bonding affects the bulk properties of a material. We will cover electronegativity, Lewis dot structures, VSEPR, bond hybridization, and ionic, covalent, and metallic bonds.

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Many chemical reactions are reversible, and the forward and backward reactions can occur at the same time. When the rate of the forward reaction is equal to the rate of the backward reaction, we call that a dynamic equilibrium. We will learn how equilibrium can be described by the equilibrium constant K, and how different factors than can affect the chemical equilibrium.

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We are now going to delve into the heart of chemistry. We learn ways of representing molecules and how molecules react. To do this, we'll even think about "how many" of a molecule we have using a quantity called a "mole".

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This 10-minute video lesson discusses Carbon 14 Dating (1). [Chemistry playlist: Lesson 105 of 106].

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This 10-minute video lesson provides an introduction to collateralized debt obligations (to be listen to after series on mortgage-backed securities. [Core Finance playlist: Lesson 31 of 184]

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This 4-minute video lesson introduces Khan's series on complex numbers.

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This single minute video lesson looks at how to add complex numbers.

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This 4-minute video lesson give an example of a complex conjugate.

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This 5- minute video lesson shows how to divide complex numbers.

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This 4-minute video lesson looks at the imaginary roots of negative numbers.

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