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IndexIndex

arclength, Subsection
average value over a solid, Item
center of mass
of a lamina, Subsection
of a solid, Item
centroid
of a lamina, Paragraph
change of variable
double integral, Subsection
triple integral, Paragraph
circulation, Paragraph
Cobb-Douglas production function, Exercise
continuity, Definition
coordinate planes, Paragraph
critical point, Definition
cross product, Definition
curvature, Definition
cylindrical coordinates, Paragraph
differentiable function, Definition
differentials, Paragraph
directional derivative, Definition
discriminant, Subsection
dot product, Definition
double integral
average value, Item
definition, Definition
difference in volumes, Item
mass of lamina, Subsection
probability, Item
double integral over a general region, Paragraph
double Riemann sum, Definition
function
continuously differentiable, Subsection
domain, Subsection
graph, Subsection
locally linear, Paragraph
of two variables, Definition
surface, Paragraph
graph of a vector-valued function
definition, Definition
iterated integral
cylindrical coordinates, Subsection
polar coordinates, Subsection
rectangular coordinates, Paragraph
spherical coordinates, Subsection
Jacobian, Paragraph
joint probability density function, Paragraph
Lagrange multiplier, Paragraph
level curve, Definition
line
direction vector, Paragraph
in space, Definition
parametric equations, Subsection
vector equation, Subsection
line integral
definition, Definition
differential form of, Paragraph
locally linear, Paragraph
mass
of a solid, Paragraph
moments about coordinate axes, Paragraph
open
definition, Paragraph
oriented curve
closed, Paragraph
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
pathindependent
definition, Paragraph
plane
definition, Definition
scalar equation, Item
vector equation, Item
polar coordinates, Paragraph
position vector, Paragraph
principal unit normal vector, Item
projectile motion
parametric equations, Paragraph
radius of curvature, Item
sphere
definition, Paragraph
formula, Paragraph
spherical coordinates, Paragraph
surface area, Subsection
trace, Definition
triple integral, Definition
triple Riemann sum, Definition
triple scalar product, Paragraph
vector
angle between, Paragraph
component in the direction of, Subsection
definition, Definition
projection, Paragraph Subsection
subtraction, Paragraph
sum, parallelogram, Paragraph
vector-valued function
antiderivative, Definition
definition, Definition
derivative, Definition
indefinite integral, Definition
vectorfield
definition, Definition
vectors
orthogonal, Subsection
volume of a solid, Item