| Section 12.1. Vectors in the plane |
| Section 12.2. Vectors in three dimensions |
| Section 12.3. The dot product |
| Section 12.4. The cross product |
| Section 12.5. Planes in three space |
| Sections 13.1 and 11.1. Vector-valued functions |
| Sections 13.2, 13.3, and 11.2. Calculus of vector-valued functions |
| CHAPTER 14. DIFFERENTIATION IN SEVERAL VARIABLES | |
| Section 14.1, Part 1. Functions of two variables | |
| Section 14.1, Part 2. Functions of three or more variables | |
| Sections 14.2 and 14.3. Limits and partial derivatives | |
| Section 14.4. Linear approximation and tangent planes | |
| Section 14.5. The gradient and directional derivatives | |
| Section 14.6. The Chain Rule | |
| Section 14.7, Part 1. The First-Derivative Test | |
| Section 14.7, Part 2. The Second-Derivative Test | |
| Section 14.8. Lagrange multipliers |
| CHAPTER 15. MULTIPLE INTEGRATION |
| Sections 15.1 and 15.2. Double integrals |
| Section 15.3. Triple integrals |
| Section 15.4. Integrals in polar and cylindrical coordinates |