#### Chapter 11: Three-Dimensional Analytic Geometry and Vectors

- Section 11.1: Three-Dimensional Coordinate Systems
- Section 11.2: Vectors and the Dot Product in Three Dimensions
- Section 11.3: The Cross Product
- Section 11.4: Equations of Lines and Planes
- Section 11.5: Quadric Surfaces
- Section 11.6: Vector Functions and Space Curves
- Section 11.7: Arc Length and Curvature
- Section 11.8: Motion in Space: Velocity and Acceleration

#### Chapter 12: Partial Derivatives

- Section 12.1: Functions of Several Variables
- Section 12.2: Limits and Continuity
- Section 12.3: Partial Derivatives
- Section 12.4: Tangent Planes and Differentials
- Section 12.5: The Chain Rule
- Section 12.6: Directional Derivatives and the Gradient Vector
- Section 12.7: Maximum and Minimum Values
- Section 12.8: Lagrange Multipliers
#### Chapter 13: Multiple Integrals

- Section 13.1: Double Integrals
- Section 13.2: Iterated Integrals
- Section 13.3: Double Integrals over General Regions
- Section 13.4: Polar Coordinates
- Section 13.5: Double Integrals in Polar Coordinates
- Section 13.6: Applications of Double Integrals
- Section 13.7: Surface Area
- Section 13.8: Triple Integrals
- Section 13.9: Cylindrical and Spherical Coordinates
- Section 13.10: Triple Integrals in Cylindrical and Spherical Coordinates
- Section 13.11: Change of Variables in Multiple Integrals
#### Chapter 14: Vector Calculus

- Section 14.1: Vector Fields
- Section 14.2: Line Integrals
- Section 14.3: The Fundamental Theorem for Line Integrals
- Section 14.4: Green's Theorem
- Section 14.5: Curl and Divergence
- Section 14.6: Parametric Surfaces and Their Areas
- Section 14.7: Surface Integrals
- Section 14.8: Stokes' Theorem
- Section 14.9: The Divergence Theorem