Index of First Year Calculus Terms

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

arc length of a parametrically defined curve

arc length of a polar curve

area between 2 curves

area of a polar region

average velocity

average velocity

Boyle's law and work

chain rule (several variables)

circles (parametric equations)

circles in polar coordinates

circumference on an ellipse

component form of a vector

component of u perpendicular to v

conditionally convergent

conic sections in polar coordinates

continuity for a function of several variables

continuity of the inverse function

converges (series)

converges to a limit

cosx (derivative)

critical number

cylindrical coordinates

cylindrical shells method for volume

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

differentiation of power series

direct comparison test

directed line segment

direction cosines

directional derivative

disk method for volume

distance between a point and a plane

distance formula in 3D

diverges (series)

division of power series

domain of a function of several variables

dot product of vectors

eliminating the parameter

equipotential lines

error and differentials

explicit function

exponentials with other bases

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

function of several variables

functions (parametric equations)

fundamental theorem of algebra

geometric power series

geometric series

geometric series test

graphing with calculus

harmonic series

higher order partial derivative

homogeneous differential equations

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

inflection point

instantaneous velocity

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

Intermediate Value Theorem

Intermediate Value Theorem

intersections of parametrically defined curves

interval of convergence

inverse functions

inverse hyperbolic derivatives

inverse trigonometric functions

Lagrange multipliers

least squares regression line

left Riemann sum

length of a vector

L'Hopital's rule

limit at infinity

limit comparison test

limit for a function of several variables

limit of a sequence

limits (graphical)

limits (tabular)

limits using power series

linear approximation

lines (parametric equations)

lines in polar coordinates

ln x (properties)

logarithm (definition)

logarithms and integrals

logarithms with other bases

logistics equations

logistics growth

maximum (relative)

McLaurin polynomial

McLaurin series

Mean Value Theorem

Mean Value Theorem For Integrals

Midpoint Approximation

midpoint approximation

minimum (relative)

mixed angle formulas

Monte Carlo Method

multiplication of power series

natural logarithm (definition)

Newton's method

normal distribution

normal vector to a plane

n^th partial sum

one sided limits

Pappus' Theorem

parallelepipeds

parametric equation of a function

parametric equations

parametric equations of a circle

parametric equations of a line

partial derivative

partial fractions

parts (integration by parts)

Pascal's principle

planes (equation)

polar coordinates

pressure (fluid)

projection of u onto v

properties of addition and subtraction of vectors

properties of ln x

quadratic approximation

quadric surface

radioactive decay

radius of convergence

rearrangement theorem

relative extrema

relative maximum

relative maximum

relative minimum

relative minimum

remainder theorem

Revenue equation

right Riemann sum

Rolle's Theorem

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

series (definition)

Simpson's Estimate

Simpson's estimate

Simpson's Estimate

Simpson's Estimate (error)

Simpson's estimate (error)

Simpson's Estimate (error)

sinx (derivative)

spherical coordinates

spring (work and Hook's law)

squeeze theorem

Squeeze Theorem

subtraction of power series

surface area of revolution

surface area of revolution (parametric)

surface area of revolution of a polar curve

surface of revolution

tangent line to a curve

Taylor polynomial

Taylor's remainder theorem

telescoping series

three dimensional coordinates

total differential

Trapezoidal Rule

Trapezoidal Rule

trigonometric substitution

vertical asymptotes

volume of revolution

washer method for volume

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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