Parametric curve;
        Vector-valued function;

        Theorem 1: Componentwise differentiation;
        Theorem 2:  Differentiation formulas;

        Velocity vectors;
        Acceleration vectors;
        Integration of vector-valued function;
        Motion of projectiles;

        Examples.

Section 12.6 Topics:

        The arc length;
        The arc length function;
        The arc length parametrization;

        Curvature of plane curves;
        Curvature of space curves;

        Unit tangent vector;
        Normal components of acceleration;
        Tangential  components of acceleration;

        Examples.