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Part 4 of derivatives. Introduction to the chain rule. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/chain_rule_1?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription
More examples of taking derivatives
An introduction to functions. More free lessons at: http://www.khanacademy.org/video?v=VhokQhjl5t0
The second part of the last projectile motion problem
A little leftover from part 7
Using the unit circle definition of the sine function to make a graph of it.
An introduction to indefinite integration of polynomials.
An example of a functions problem submitted by a youtube viewer More free lessons at: http://www.khanacademy.org/video?v=rbt51hXmzig
Another example of a 2-dimensional projectile motion problem
Solving linear inequalities.
Introduction to trigonometric identities
Using the unit circle to define the sine, cosine, and tangent functions
More examples of using definite integrals to calculate the area between curves
Examples using the Chain Rule Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/chain_rule_1?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription
More on 2 dimensional projectile motion
Using vectors to solve 2 dimensional projectile motion problems
Trigonometry problem involving two ships colliding.
Another (simpler) example of using the chain rule to determine rates-of-change
Using the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve.
Completing our first example from parts 1 and 2
Examples of taking the indefinite integral (or anti-derivative) of polynomials. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/intro-to-integration?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription
Introduction to i. Raising i to arbitrary exponents.
Analyzing the amplitude and periods of the sine and cosine functions. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/graphs_of_sine_and_cosine?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription
Introduction to basic physics of motion. Introduces the concept of variable velocity/acceleration.