 Chapter 1: Vectors
 Chapter 1.1: Vectors in Two and Three Dimensions
 Chapter 1.2: More About Vectors
 Chapter 1.3: The Dot Product
 Chapter 1.4: The Cross Product
 Chapter 1.5: Equations for Planes; Distance Problems
 Chapter 1.6: Some ndimensional Geometry
 Chapter 1.7: New Coordinate Systems
 Chapter 2: Differentiation in Several Variables
 Chapter 2.1: Functions of Several Variables; Graphing Surfaces
 Chapter 2.2: Limits
 Chapter 2.3: The Derivative
 Chapter 2.4: Properties; Higherorder Partial Derivatives
 Chapter 2.5: The Chain Rule
 Chapter 2.6: Directional Derivatives and the Gradient
 Chapter 2.7: Newtons Method (optional)
 Chapter 3: VectorValued Functions
 Chapter 3.1: Parametrized Curves and Keplers Laws
 Chapter 3.2: Arclength and Differential Geometry
 Chapter 3.3: Vector Fields: An Introduction
 Chapter 3.4: Gradient, Divergence, Curl, and the Del Operator
 Chapter 4: Maxima and Minima in Several Variables
 Chapter 4.1: Differentials and Taylors Theorem
 Chapter 4.2: Extrema of Functions
 Chapter 4.3: Lagrange Multipliers
 Chapter 4.4: Some Applications of Extrema
 Chapter 5: Multiple Integration
 Chapter 5.1: Introduction: Areas and Volumes
 Chapter 5.2: Double Integrals
 Chapter 5.3: Changing the Order of Integration
 Chapter 5.4: Triple Integrals
 Chapter 5.5: Change of Variables
 Chapter 5.6: Applications of Integration
 Chapter 5.7: Numerical Approximations of Multiple Integrals (optional)
 Chapter 6: Line Integrals
 Chapter 6.1: Scalar and Vector Line Integrals
 Chapter 6.2: Greens Theorem
 Chapter 6.3: Conservative Vector Fields
 Chapter 7: Surface Integrals and Vector Analysis
 Chapter 7.1: Parametrized Surfaces
 Chapter 7.2: Surface Integrals
 Chapter 7.3: Stokess and Gausss Theorems
 Chapter 7.4: Further Vector Analysis; Maxwells Equations
 Chapter 8: Vector Analysis in Higher Dimensions
 Chapter 8.1: An Introduction to Differential Forms
 Chapter 8.2: Manifolds and Integrals of kforms
 Chapter 8.3: The Generalized Stokess Theorem
Vector Calculus 4th Edition  Solutions by Chapter
Full solutions for Vector Calculus  4th Edition
ISBN: 9780321780652
Vector Calculus  4th Edition  Solutions by Chapter
Get Full SolutionsThis expansive textbook survival guide covers the following chapters: 47. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Since problems from 47 chapters in Vector Calculus have been answered, more than 8020 students have viewed full stepbystep answer. The full stepbystep solution to problem in Vector Calculus were answered by , our top Calculus solution expert on 03/05/18, 06:59PM. Vector Calculus was written by and is associated to the ISBN: 9780321780652.

Arcsine function
See Inverse sine function.

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Cosecant
The function y = csc x

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

Equilibrium price
See Equilibrium point.

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Leading coefficient
See Polynomial function in x

Matrix element
Any of the real numbers in a matrix

Multiplicity
The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x  c) (x  z 2) Á (x  z n)

Nappe
See Right circular cone.

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Range of a function
The set of all output values corresponding to elements in the domain.

Real zeros
Zeros of a function that are real numbers.

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Response variable
A variable that is affected by an explanatory variable.

Unit ratio
See Conversion factor.

Ymin
The yvalue of the bottom of the viewing window.