9.0 Unit 9 Overview: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
1 min read•july 12, 2021
AP Calculus AB/BC ♾️
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There are many different kinds of functions in math because not everything in the world exists on a plane with two variables. So far, everything we have been doing has been on the Cartesian plane: ℝ^2. This unit introduces you to different kinds of functions that model the world around us.
What To Expect 🤓
Derivatives of Parametric Functions - First Derivative & Second Derivative of a Parametric Function
Parametrics and Motion - Parametric Motion Expressed through Vector-Valued Functions
Position Vector - Displacement of Parametric Functions & Arc Length/Distance of Parametric Functions
Derivatives of Polar Functions - Slope of Tangent Line for Polar Functions
Area Under the Curve - Simple Area Under Polar Curves
Area Between Two Curves If the curves intersect, then you may have to find the area inside the curves by splitting the region.
Polar Arc Length - Arc Length for Polar Functions
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