- 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 n-dimensional 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; Higher-order Partial Derivatives
- Chapter 2.5: The Chain Rule
- Chapter 2.6: Directional Derivatives and the Gradient
- Chapter 2.7: Newtons Method (optional)
- Chapter 3: Vector-Valued 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 k-forms
- Chapter 8.3: The Generalized Stokess Theorem
Vector Calculus 4th Edition - Solutions by Chapter
Full solutions for Vector Calculus | 4th Edition
ISBN: 9780321780652
Solutions by Chapter
This 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 step-by-step answer. The full step-by-step 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.
Key Calculus Terms and definitions covered in this textbook
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Arcsine function
See Inverse sine function.
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Basic logistic function
The function ƒ(x) = 1 / 1 + e-x
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Boxplot (or box-and-whisker plot)
A graph that displays a five-number summary
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Cosecant
The function y = csc x
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Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis
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Equilibrium price
See Equilibrium point.
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First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.
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Leading coefficient
See Polynomial function in x
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Matrix element
Any of the real numbers in a matrix
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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)
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Nappe
See Right circular cone.
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Newton’s law of cooling
T1t2 = Tm + 1T0 - Tm2e-kt
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One-to-one function
A function in which each element of the range corresponds to exactly one element in the domain
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Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,
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Range of a function
The set of all output values corresponding to elements in the domain.
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Real zeros
Zeros of a function that are real numbers.
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Remainder theorem
If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)
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Response variable
A variable that is affected by an explanatory variable.
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Unit ratio
See Conversion factor.
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Ymin
The y-value of the bottom of the viewing window.