ap calculus bc - polar coordinates: graphing & area

timestamps

• 0:00

  Introduction to Polar Coordinates

• 0:31

  Overview of BC Topics

• 1:02

  Polar Coordinates Basics

• 2:03

  Rectangular vs Polar Explanation

• 3:38

  Polar Coordinate System

• 5:13

  Trigonometric Relationships

• 6:45

  Converting Coordinates

• 8:48

  School Design Analogy

• 10:52

  Angle and Rotation Examples

• 12:26

  Negative Angles Discussion

• 14:29

  Graphing Polar Functions

• 15:31

  Example: r = 1 + cos θ

• 18:07

  Plotting and Chunking Graph

• 23:18

  Example: r = 3 sin(3θ)

• 24:49

  Handling Negative Radii

• 28:24

  Graphing Rose Curve

• 32:29

  Area in Polar Coordinates

• 33:00

  Rectangular Area Review

• 42:02

  Polar Area Sectors

• 46:11

  Polar Area Integral Setup

• 47:13

  Slope of Tangent Lines

• 53:30

  Deriving dx/dθ and dy/dθ

• 57:09

  Slope Calculation Example

• 1:00:14

  Common Exam Questions

• 1:01:15

  Closing and Q&A Offer