| Sections 12.1 through 12.3 Functions of two variables |
| Section 12.4 Linear functions |
| Section 12.5 Functions of three variables |
CHAPTER 13. A FUNDAMENTAL TOOL: VECTORS
| Sections 13.1 and 13.2 Vectors |
| Section 13.3 The dot product |
| Section 13.4 The cross product |
CHAPTER 14. DIFFERENTIATING FUNCTIONS OF SEVERAL VARIABLES
| Sections 14.1 and 14.2 Partial derivatives |
| Section 14.3 Local linearity and the differential |
| Section 14.4 Gradients and directional derivatives in the plane |
| Section 14.5 Gradients and directional derivatives in space |
| Section 14.6 The Chain Rule |
| Section 14.7 Second-order partial derivatives |
CHAPTER 15. OPTIMIZATION
| Section 15.1 Local extrema |
| Section 15.2 Optimization |
| Section 15.3 Lagrange multipliers |