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Unit 9 of 10

Parametric Equations, Polar Coordinates, and Vector-Valued Functions

This unit expands calculus beyond standard y = f(x) functions. Students study parametric equations, vector-valued functions, polar coordinates, two-dimensional motion, arc length, and polar area.

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UnitsLessons
  1. 04Contextual Applications of Differentiation7
  2. 05Analytical Applications of Differentiation12
  3. 06Integration and Accumulation of Change14
  4. 07Differential Equations9
  5. 08Applications of Integration13
  6. 09Parametric Equations, Polar Coordinates, and Vector-Valued Functions9
  7. 10Infinite Sequences and Series15
3 more units in the course outline
Units of AP® Calculus BC

Lessons

9 lessons in this unit

  1. 9.1Defining and Differentiating Parametric EquationsPreview lesson
  2. 9.2Second Derivatives of Parametric EquationsPreview lesson
  3. 9.3Finding Arc Lengths of Curves Given by Parametric EquationsPreview lesson
  4. 9.4Defining and Differentiating Vector-Valued FunctionsPreview lesson
  5. 9.5Integrating Vector-Valued FunctionsPreview lesson
  6. 9.6Solving Motion Problems Using Parametric and Vector-Valued FunctionsPreview lesson
  7. 9.7Defining Polar Coordinates and Differentiating in Polar FormPreview lesson
  8. 9.8Find the Area of a Polar Region or the Area Bounded by a Single Polar CurvePreview lesson
  9. 9.9Finding the Area of the Region Bounded by Two Polar CurvesPreview lesson

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