Index of First Year Calculus Terms
A B
C D E F
G H I J
K L M N
O P Q R
S T U V
W X Y X
3 dimensional coordinates
absolutely convergent
addition of power series
algebra of vectors
alternating series test
angle between two planes
angle between two vectors
angle of inclination
antiderivative
arc length of a parametrically
defined curve
arc length of a polar curve
arclength
arcsin x
area
area between 2 curves
area of a polar region
average cost
average value
average velocity
average velocity
boundary point
bounded
Boyle's law and work
center of mass
Chain Rule
chain rule (several variables)
circles (parametric
equations)
circles in polar coordinates
circumference on an
ellipse
closed region
component form of a vector
component of u perpendicular
to v
concave down
concave up
conditionally convergent
conic sections in polar
coordinates
Constant Rule
continuity
continuity for a function of
several variables
continuity of the inverse
function
converges (series)
converges to a limit
cos limit
cosh x
cost
cosx (derivative)
critical
number
cross product
cylinder
cylindrical coordinates
cylindrical shells method
for volume
d
neighborhood
d
neighborhood
definite
integral
derivative
(limit definition)
derivative of e^{x}
derivative of parametric
equations
derivative of the inverse
function
derivatives in polar
coordinates
derivatives of
arctrigonometric functions
difference quotient
differentiable for a
function of several variables
differential
equation
differentials
differentiation of power
series
direct comparison test
directed line segment
direction cosines
directional derivative
directrix
disk method for volume
distance between a point and a
plane
distance formula in 3D
diverges
diverges (series)
division of power series
domain of a function of several
variables
dot product of vectors
e
eccentricity
ed
definition
ed
game
elastic
elasticity
eliminating the parameter
ellipsoid
equilibrium
equipotential lines
error and differentials
e^{x}
explicit function
exponentials with
other bases
extrema
Extreme
Value Theorem
Extreme
Value Theorem
First
Derivative Test
First
Fundamental Theorem of Calculus
fluid force on a
submerged rectangular sheet
fluid force on a
vertical surface
fluid pressure
focus
function of several variables
functions (parametric
equations)
fundamental theorem of
algebra
geometric power series
geometric series
geometric series test
gradient
graphing with calculus
harmonic series
Hessian
higher order partial derivative
homogeneous differential
equations
Hook's law
horizontal
asymptote
horizontal line test and
Rolle's Theorem
hyperbolic
trigonometric functions
hyperboloid of one sheet
hyperboloid of two sheets
implicit
differentiation
implicit differentiation
(several variables)
implicit function
improper integrals
inelastic
infinity table
inflection point
instantaneous
velocity
integral test
integrating involving
inverse trigonometric functions
integrating powers of sin and cos
integrating powers of tan and sec
integrating powers of
trigonometric functions
integration by parts
integration of power series
interior point
Intermediate
Value Theorem
Intermediate
Value Theorem
intersections of
parametrically defined curves
interval of convergence
inverse functions
inverse hyperbolic
derivatives
inverse trigonometric
functions
isobars
isotherms
Kepler's laws
Lagrange multipliers
least squares regression line
left Riemann sum
length of a vector
level curves
L'Hopital's rule
limit at infinity
limit comparison test
limit for a function of several
variables
limit of a sequence
limit test
limits (graphical)
limits (tabular)
limits using power series
linear approximation
lines (parametric equations)
lines in 3D
lines in polar coordinates
ln x (properties)
logarithm (definition)
logarithms and integrals
logarithms with other bases
logistics equations
logistics growth
magnitude
marginal
marginal cost
maximum
maximum (relative)
McLaurin polynomial
McLaurin series
Mean
Value Theorem
Mean
Value Theorem For Integrals
Midpoint
Approximation
midpoint
approximation
minimum
minimum (relative)
mixed angle formulas
moment
monotonicity
Monte Carlo
Method
multiplication of power
series
natural logarithm (definition)
Newton's method
norm
normal distribution
normal line
normal vector to a plane
n^{th} partial sum
oid
one sided limits
open region
optimization
orthogonal
other bases
Pappus' Theorem
paraboloid
parallelepipeds
parametric equation of a
function
parametric equations
parametric equations of a
circle
parametric equations of a line
partial derivative
partial fractions
partial sum
parts (integration by parts)
Pascal's principle
percent error
planes (equation)
polar coordinates
pounds
Power Rule
power series
pressure (fluid)
probability
Product Rule
profit
projection of u onto v
properties of addition and
subtraction of vectors
properties of ln x
pseries test
quadratic approximation
quadric surface
Quotient Rule
radioactive decay
radius of convergence
ratio test
rearrangement theorem
Reimann sum
Related Rates
relative error
relative
extrema
relative maximum
relative
maximum
relative minimum
relative
minimum
remainder theorem
revenue
Revenue equation
right Riemann sum
Rolle's
Theorem
root test
scalar multiplication of vectors
second derivative of parametric
equations
Second
Derivative Test
second derivative test for a
function of two variables
Second
Fundamental Theorem of Calculus
separable differential
equations
sequence
series (definition)
Simpson's
Estimate
Simpson's estimate
Simpson's
Estimate
Simpson's
Estimate (error)
Simpson's estimate (error)
Simpson's
Estimate (error)
sinh x
sinx (derivative)
sinx/x
slugs
spherical coordinates
spring (work and Hook's
law)
squeeze theorem
Squeeze Theorem
subtraction of power series
sum of vectors
surface area of revolution
surface area of revolution
(parametric)
surface area of revolution of
a polar curve
surface of revolution
tangent line
tangent line to a curve
tangent plane
tanh x
Taylor polynomial
Taylor series
Taylor's remainder theorem
telescoping series
three dimensional coordinates
torque
total differential
Trapezoidal Rule
Trapezoidal Rule
trigonometric
substitution
unit vector
vector
vertical asymptotes
volume of revolution
washer method for volume
work
work (vectors)
work in emptying a tank
work in lifting a chain
work in sending a rocket
into orbit
work
on a spring
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