- Chapter 1: The Geometry of Euclidean Space
- Chapter 2: Differentiation
- Chapter 3: Higher-Order Derivatives:Maxima and Minima
- Chapter 4: Vector-Valued Functions
- Chapter 5: Double and Triple Integrals
- Chapter 6: The Change of Variables Formula and Applications of Integration
- Chapter 7: Integrals Over Paths and Surfaces
- Chapter 8: The Integral Theorems of Vector Analysis
Vector Calculus 6th Edition - Solutions by Chapter
Full solutions for Vector Calculus | 6th Edition
Additive identity for the complex numbers
0 + 0i is the complex number zero
A fractional expression in which the numerator or denominator may contain fractions
A degree 3 polynomial function
General form (of a line)
Ax + By + C = 0, where A and B are not both zero.
Grapher or graphing utility
Graphing calculator or a computer with graphing software.
Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>
The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b
Instantaneous rate of change
See Derivative at x = a.
Notation used to specify intervals, pp. 4, 5.
See Polynomial function in x.
An equation written with logarithms instead of exponents
A logarithm with base e.
See Complex plane.
Reduced row echelon form
A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.
Ratio change in y/change in x
symmetric about the x-axis
A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is
A letter that represents an unspecified number.
See Power function.
A visualization of the relationships among events within a sample space.
x = a.