Functions and calculus

Parametric equations

Parametric equations: points and motion, Eliminate the parameter, Circles and ellipses in parametric form, Derivatives of parametric curves, Second derivatives of parametric curves, Arc length of parametric curves, Vector-valued functions: velocity, speed, acceleration

Parametric curves, vector-valued functions, arc length

Practice

Lessons, in order

  1. 1. Parametric equations: points and motion Precalculus
  2. 2. Eliminate the parameter Precalculus
  3. 3. Circles and ellipses in parametric form Precalculus
  4. 4. Derivatives of parametric curves Calculus BC (AP-aligned)
  5. 5. Second derivatives of parametric curves Calculus BC (AP-aligned)
  6. 6. Arc length of parametric curves Calculus BC (AP-aligned)
  7. 7. Vector-valued functions: velocity, speed, acceleration Calculus BC (AP-aligned)