Parametric equations, polar coordinates, and vector-valued functions videos

Parametric equations differentiation

Parametric equations intro

Parametric curve arc length

Worked example: Parametric arc length

Second derivatives (parametric functions)

Vector-valued functions differentiation

Vector-valued functions intro

Second derivatives (vector-valued functions)

Planar motion example: acceleration vector

Motion along a curve: finding rate of change

Motion along a curve: finding velocity magnitude

Planar motion (with integrals)

Polar functions derivatives

Worked example: differentiating polar functions

Worked example: Area enclosed by cardioid

Area bounded by polar curves

Worked example: Area between two polar graphs

Arc length of polar curves

Worked example: Arc length of polar curves

Evaluating definite integral with calculator