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Unit 9

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

1 min readโ€ขjune 8, 2020

Sumi Vora


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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: โ„^2. This unit introduces you to different kinds of functions that model the world around us.ย 

What To Expect ๐Ÿค“

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

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