Index Index
center of mass
of a lamina Assemblage
of a solid Item
centroid
of a lamina Paragraph
change of variable
double integral Assemblage
triple integral Assemblage
circulation Paragraph
Cobb-Douglas production function Exercise
continuity Definition
coordinate Paragraph
critical point Definition
cross product Definition
curvature Definition
differentiable function Definition
differentials Paragraph
directional derivative Definition Paragraph
discriminant Assemblage
dot product Definition
double integral
average value Item
definition Definition
difference in volumes Item
mass of lamina Assemblage
probability Item
double Riemann sum Definition
frame
Frenet Paragraph
TNB Paragraph
Frenet frame Paragraph
function
continuously differentiable Assemblage
domain Definition
graph Definition
locally linear Paragraph
of two variables Definition
range Definition
surface Paragraph
fundamental plane Paragraph
graph of a vector-valued function
definition Definition
inverse
additive (of vector) Item
iterated integral
cylindrical coordinates Assemblage
polar coordinates Assemblage
rectangular coordinates Paragraph
spherical coordinates Key Idea
Lagrange multiplier Paragraph
level curve Definition
line
direction vector Paragraph
in space Definition
parametric equations Assemblage
vector equation Assemblage
line integral
definition Definition
differential form of Paragraph
lines
parallel Definition
skew Definition
normal vector Definition
parallel
vectors Paragraph
parallel lines Definition
parameterization
curve Definition
surface Paragraph
parametric equations for a curve Definition
partial derivatives
first-order Definition
second-order Paragraph
second-order, mixed Paragraph
second-order, unmixed Paragraph
path-connected
definition Paragraph
path-independent
definition Paragraph
definition Definition
fundamental Paragraph
scalar equation Item
vector equation Item
polar coordinates Paragraph
position vector Paragraph
principal unit normal vector Item
radius of curvature Item
scalar triple product Paragraph
skew lines Definition
speed
of vector-valued function Paragraph
sphere
definition Paragraph
equation of Paragraph
standard position (of vector) Paragraph
standard unit vector Paragraph
surface area Assemblage
vector
angle between Paragraph
component in the direction of Definition Paragraph
definition Definition
equality Paragraph Assemblage
normal (to plane) Definition
orthogonal Assemblage
parallel Paragraph
position Paragraph
standard position of Paragraph
standard unit Paragraph
subtraction Paragraph
sum, parallelogram Paragraph
unit Example
zero Item
vector-valued function
antiderivative Assemblage
definition Definition
derivative Definition
indefinite integral Assemblage
vectorfield
definition Definition
volume of a solid Item
zero vector Item
