9.0 Unit 9 Overview: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

In math, there are many different kinds of functions, 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 🤓

Parametric Functions

• 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

Polar Functions

• Polar Conversions

• 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