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Chapter 10: Parametric Equations and Polar Coordinates

Learning module LM 10.1: Parametrized Curves:

      3 kinds of functions, 3 kinds of curves
      The cycloid
      Visualizing parametrized curves
      Tracing curves and ellipses
      Lissajous figures

Learning module LM 10.2: Calculus with Parametrized Curves:

      Slope and area
      Arc length and surface area
      Summary and simplification
      Higher Derivatives

Learning module LM 10.3: Polar Coordinates:

      Definitions of polar coordinates
      Graphing polar functions
      Computing slopes of tangent lines

Learning module LM 10.4: Areas and Lengths of Polar Curves:

      Area inside a polar curve
      Area between polar curves
      Arc lengths of polar curves

Learning module LM 10.5: Conic Sections:

      Slicing a cone
      Parabolas and directrices
      Completing the square

Learning module LM 10.6: Conic Sections in Polar Coordinates:

      Foci and directrices
      Visualizing eccentricity
      Polar equations for conic sections

Chapter 12: Vectors and the Geometry of Space
Chapter 13: Vector Functions
Chapter 14: Partial Derivatives
Chapter 15: Multiple Integrals

Chapter 10: Parametric Equations and Polar Coordinates