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This section of the Crash Course explains what Limits are and why they are useful. Shini (the woman in the video) explains what an interval is and how they are used for limits.

This video explains the main focus of derivatives. This Crash Course Narrator, Shini, defines how to use mathematics to write derivatives and calculate them. Additionally, Shini introduces the Power Rule (which is a way to calculate derivatives)

This Crash Course video gives different explanations of derivatives. She iterates how to use the power rule with negative exponents as well as fractions.

In this video, the Crash Course expert, Shini, explains how trigonometry plays a role in derivatives. She displays the graphs of sin and cos and uses those to show how she arrived at the derivatives of each. She also defines the derivatives of each of the trigonomic measures (sin, cos, tan).

The slapshot in Hockey is the game's fastest and hardest shot. Physicists take a look at the elastic collisions and transfer of kinetic energy in the shot.

This video gives an example of someone trying to find the height of their bedroom by using acceleration and velocity. This also incldues an explanation of the different aspects of integrals, velocity graphs, displacement curve, integral of acceleration, and the power rule in order for someone to solve the example. Additionally, the Crash Course video explains how to use constants in the equation.

Sheldon gives Penny an introduction to Physics from the Greeks to Isaac Newton to Dutch researchers. He also educates her on Newton's 2nd Law of Motion.

This integration video uncovers an example to help explain how you would go about finding an integral. The example uses physics terms with change in position, velocity, acceleration, and gravity.

The Doctor hides himself in an elementary school to investigate an alien attack. As the teacher, he asks his students various physics questions to understand how much they know. One student, Milo, proves he's unusually smart and triggers the Doctor's interest.