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Unit 9

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

Sumi Vora

### AP Calculus AB/BCΒ βΎοΈ

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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: β^2. This unit introduces you to different kinds of functions that model the world around us.Β

## What To Expect π€

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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βΎUnit 10: Infinite Sequences and Series (BC Only)
πUnit 1: Limits & Continuity
π€Unit 2: Differentiation: Definition & Fundamental Properties
π€π½Unit 3: Differentiation: Composite, Implicit & Inverse Functions
πUnit 4: Contextual Applications of the Differentiation
β¨Unit 5: Analytical Applications of Differentiation
π₯Unit 6: Integration and Accumulation of Change
πUnit 7: Differential Equations
πΆUnit 8: Applications of Integration
π¦Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)
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