Table of Contents
Chapter 11 – VECTORS AND THE GEOMETRY OF SPACE
- 11.1 Vectors in the Plane
- 11.6 Surfaces in Space
- 11.7 Cylindrical and Spherical Coordinates
Chapter 12 – VECTOR-VALUED FUNCTIONS
- 12.1 Vector-Valued Functions
- 12.3 Velocity and Acceleration
- 12.5 Arc Length and Curvature
Chapter 13 – FUNCTIONS OF SEVERAL VARIABLES
- 13.1 Introduction to Functions of Several Variables
- 13.2 Limits and Continuity
- 13.4 Differentials
- 13.5 Chain Rules for Functions of Several Variables
- 13.6 Directional Derivatives and Gradients
- 13.8 Extrema of Function of Two Variables
- 13.9 Applications of Extrema of Functions in Two Variables
- 13.10 Lagrange Multipliers
Chapter 14 – MULTIPLE INTEGRATION
- 14.1 Iterated Integrals and Area in the Plane
- 14.3 Change of Variables: Polar Coordinates
- 14.4 Center of Mass and Moments of Inertia
- 14.5 Surface Area
- 14.6 Triple Integrals and Applications
- 14.8 Change of Variables: Jacobians
Chapter 15 – VECTOR ANALYSIS
- 15.1 Vector Fields
- 15.3 Conservative Vector Fields and Independence of Path
- 15.5 Parametric Surfaces
- 15.6 Surface Integrals
- 15.7 Divergence Theorem
Chapter 16 – ADDITIONAL TOPICS IN DIFFERENTIAL EQUATIONS
- 16.1 Exact First-Order Equations
- 16.2 Second-Order Homogeneous Linear Equations
- 16.3 Second-Order Nonhomogeneous Linear Equations
- 16.4 Series Solutions of Differential Equations
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