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Chapter 13 covers the following topics:
13.1 Introduction to Functions of Several Variables
13.2 Limits and Continuity
13.3 Partial Derivatives
Section Project: Moiré Fringes
13.4 Differentials
13.5 Chain Rules for Functions of Several Variables
13.6 Directional Derivatives and Gradients
13.7 Tangent Planes and Normal Lines
Section Project: Wildflowers
13.8 Extrema of Functions of Two Variables
13.9 Applications of Extrema of Functions of Two Variables
Section Project: Building a Pipeline
13.10 Lagrange Multipliers