Section 2.1: Vectors in the Plane
Section 2.2: Vectors in Three Dimensions
Section 2.3: The Dot Product
Section 2.4: The Cross Product
Section 2.5: Equations of Lines and Planes in Space
Section 2.6: Cylindrical & Quadric Surfaces
Section 3.1: Vector-Valued Functions and Space Curves
Section 3.2: Calculus of Vector-Valued Functions
Section 3.3: Arc Length and Curvature
Section 3.4: Motion in Space
Part 2: Multivariable Functions
Section 4.1: Functions of Several Variables
Section 4.3: Partial Derivatives
Section 4.4: Tangent Planes and Linear Approximations
Section 4.5: The Chain Rule
Section 4.6: Directional Derivatives and the Gradient
Section 4.7: Maxima/Minima Problems
Section 4.8: Lagrange Multipliers