 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 9708 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.

Common difference
See Arithmetic sequence.

Compounded annually
See Compounded k times per year.

Divergence
A sequence or series diverges if it does not converge

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Gaussian elimination
A method of solving a system of n linear equations in n unknowns.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Horizontal translation
A shift of a graph to the left or right.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

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

Period
See Periodic function.

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Random variable
A function that assigns realnumber values to the outcomes in a sample space.

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

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

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.

Terminal side of an angle
See Angle.