 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 19710 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.

Absolute value of a vector
See Magnitude of a vector.

Arccotangent function
See Inverse cotangent function.

Binomial probability
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n  k2!pk11  p) nk where p is the probability of the outcome occurring once

Common difference
See Arithmetic sequence.

Compounded continuously
Interest compounded using the formula A = Pert

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Doubleangle identity
An identity involving a trigonometric function of 2u

Equivalent arrows
Arrows that have the same magnitude and direction.

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

Periodic function
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

Principle of mathematical induction
A principle related to mathematical induction.

Range screen
See Viewing window.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Standard form: equation of a circle
(x  h)2 + (y  k2) = r 2

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

Triangular form
A special form for a system of linear equations that facilitates finding the solution.

Unit vector
Vector of length 1.

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.