Monday, May 20, 2013

Definite Integrals (Level: APC)

This podcast explains how to evaluate definite integrals at given limits of integration, and how this idea relates to finding the area under the curve when a function is graphed.

Indefinite Integrals (Level: APC)

This podcast introduces integrals with the idea "un-doing" a derivative, and then works several examples based on the reverse of the power rule.

Derivatives and Max/Min (Level: APC)

This podcast explains how to apply your understanding of derivatives to the problem of finding the maximum or minimum value of a function.

Chain Rule and Product Rule (Level: APC)

This podcast introduces how to perform derivatives for some more complicated functions, specifically how to use the chain rule for derivatives of composite functions, and how to use the product rule for the derivative of the product of two functions.

Other Common Derivatives (Level: APC)

This podcast introduces common derivatives that can't be performed with the power rule, such as derivatives of some trigonometric, exponential, and logarithmic functions.

Derivatives and Power Rule (Level: APC)

This podcast introduces the concept of derivatives, at a depth appropriate for students beginning a calculus-based physics course. This includes a brief description of what a derivative means, and how to find derivatives using the power rule.

Friday, November 16, 2012

Waves on Strings (Levels: Intro, APB)

This podcast explains standing waves on strings, including an explanation for how to calculate which frequencies of vibration will 'work' to cause a certain string to resonate at all of its different harmonic frequencies.