Schedule of Lectures Lecture Section Topics 1 Vectors in the Plane 2 Vectors in Three Dimensions 3 Dot Product 4 Cross Product 5 Planes in Three-Space 6 Parametric equations 7 Vector-Valued Functions 8 Calculus of Vector-Valued Functions 9 Arc-Length and Speed; Curvature 10 Motion in Three-Space; Planetary Motion 11 Functions of Two or More Variables 12 A Survey of Quadric Surfaces 13 Limits and Continuity 14 Partial Derivatives 15 Differentiability and Tangent Planes 16 Gradient and Directional Derivatives 17 Chain Rule 18 Optimization 19 Lagrange Multipliers