- 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
See Inverse sine function.
See Arithmetic sequence.
Interest compounded using the formula A = Pert
See Power function.
Direction angle of a vector
The angle that the vector makes with the positive x-axis
See Equilibrium point.
An equation written with exponents instead of logarithms.
Frequency (in statistics)
The number of individuals or observations with a certain characteristic.
The numbers . . ., -3, -2, -1, 0,1,2,...2
Inverse composition rule
The composition of a one-toone function with its inverse results in the identity function.
A local maximum or a local minimum
A square matrix with nonzero determinant
A procedure for fitting a quadratic function to a set of data.
Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.
Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,
A number that measures a quantitative variable for a sample from a population.
The line segment whose endpoints are the vertices of a hyperbola.
Variable (in statistics)
A characteristic of individuals that is being identified or measured.
The x-value of the right side of the viewing window,.
The scale of the tick marks on the x-axis in a viewing window.