# Active Calculus - Multivariable

## IndexIndex

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