A video demonstration of parametrizing a surface that can be explictly made a function of x and y.

Example of taking a closed line integral of a conservative field

Watch a video to explore part 2 of Green's Theorem.

An example of finding the surface area along a closed curve using line integrals.

This video revisits the 2-D divergence theorem to involve mass density and velocity and find the mass exiting under the closed curve.

Students watch a video about finding the slope of a tangent line to a curve (the derivative).

What happens when 100 perfect logicians have to figure out if they each have a blue forehead?

This is part 3 of a 3-part video series showing how to calculate the surface integral of a torus.

Parts 2b and 2c of the 2008 BC exam (free response)

Identify fluid and recognize the difference between liquids and gasses (both fluids). [9:47]

Testing the direction of force when the current carrying wire is above vs. below a compass. What does this tell us? [0:27]

This video introduces the concept of surface tension, and shows how roughness can make a surface superhydrophobic or superhydrophilic. The Wenzel and Cassie-Baxter models are explained. [8:17]

Discussion of inflation, the CPI index and owners' equivalent rent. [15:30]

Check out how an electric field is generated by a uniformly charged, infinite plate. [13:27]

In this video we go inside the digital camera to discover what is inside and how it works. [9:55]

Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. Rishi is a pediatric infectious disease physician and works at Khan Academy. [8:21]

Dr. Mahadevan of Stanford Medical School shows Sal what misalignment in the neck could look like in an X-ray. [7:32]

Video lecture explains how the penicillin in bread mold kills bacteria. [3:03]

A video proving the Fundamental Theorem of Calculus.

Sal Khan offers a correction to his Quasar video. [1:45]

Learn about how hypertension can cause damage to the large/middle sized arteries as well as the small arteries and arterioles. Rishi is a pediatric infectious disease physician and works at Khan Academy. [7:09]

Students watch a video tutorial to learn about the divergence theorem.

More on mortgage-backed securities presented by Sal Khan. [9:19]

Part 5 of building the battery operated "beetle bot," Spout.