Chapter 11  Vectors and 3-Space

11.1  Vectors in 2-Space
11.2  3-Space and Vectors
11.3  Dot Product
11.4  Cross Product
11.5  Lines in 3-Space
11.6  Planes
11.7  Cylinders and Spheres
11.8  Quadric Surfaces
 Chapter 11 in Review 

Chapter 12  Vector-Valued Functions

12.1  Vector Functions
12.2  Calculus of Vector Functions
12.3  Motion on a Curve
12.4  Curvature and Acceleration
 Chapter 12 in Review 

Chapter 13  Partial Derivatives

13.1    Functions of Several Variables
13.2    Limits and Continuity
13.3    Partial Derivatives
13.4    Linearization and Differentials
13.5    Chain Rule
13.6    Directional Derivative
13.7    Tangent Planes and Normal Lines
13.8    Extrema of Multivariable Functions
13.9    Method of Least Squares
13.10  Lagrange Multipliers
   Chapter 13 in Review 

Chapter 14  Multiple Integrals

14.1  The Double Integral
14.2  Iterated Integrals
14.3  Evaluation of Double Integrals
14.4  Center of Mass and Moments
14.5  Double Integrals in Polar Coordinates
14.6  Surface Area
14.7  The Triple Integral
14.8  Triple Integrals in Other Coordinate Systems
14.9  Change of Variables in Multiple Integrals
 Chapter 14 in Review 

Chapter 15  Vector Integral Calculus

15.1  Line Integrals
15.2  Line Integrals of Vector Fields
15.3 Independence of the Path
15.4  Green’s Theorem
15.5 Parametric Surfaces and Area
15.6  Surface Integrals
15.7  Curl and Divergence
15.8  Stokes’ Theorem
15.9  Divergence Theorem
 Chapter 15 in Review 

Chapter 16   Higher-Order Differential Equations

16.1  Exact First-Order Equations
16.2  Homogenous Linear Equations
16.3  Nonhomogenous Linear Equations
16.4  Mathematical Models
16.5  Power Series Solutions
 Chapter 16 in Review 

Answers to Selected Odd-Numbered Problems

Index

Resource Pages:

Review of Algebra
Formulas from Geometry
Graphs and Functions
Review of Trigonometry
Exponential and Logarithmic Functions
Differentiation
Integration Formulas