Index of Math Terms

Index of Math 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 Z

3 dimensional coordinates

abel's theorem for a system of differential equations

abel's theorem for higher order differential equations

abel's theorem for second order linear differential equations

absolute value equation

absolute value function

absolute value inequalities

absolutely convergent

acceleration (normal and tangential components)

acceleration (with vectors)

access (r-stages)

addition of complex numbers

addition of matrices

addition of matrices (Properties)

Addition of Polynomials

addition of power series

addition of rational expressions

Addition Rule (for exponents)

adjacency matrix

adjoint of a matrix

affine transformation

algebra of vectors

algebraic expression

alternating series test

amplitude modulation

analytic function

angle between two planes

angle between two vectors

angle between vectors

angle of inclination

arc length of a parametrically defined curve

arc length of a polar curve

arc length parameterization

area (with a double integral)

area (with Green's theorem)

area between 2 curves

area of a parametric surface

area of a polar region

Area of a rectangle

area of a surface

Area of a triangle

arithmetic of functions

arithmetic of radical expressions

arithmetic sequence

arithmetic series

Associative Property

asymptotes of a hyperbola

augmented matrix

autonomous differential equations

average difference representation

average velocity

average velocity

axis of symmetry of a parabola

basis for a uc-set

best fitting curve

binomial expansion

Boyle's law and work

Cauchy Schwartz inequality

center of mass (double integration)

chain rule (several variables)

change of base formula

change of basis

changing order of integration

characteristic equations for higher order differential equations

characteristic polynomial of a matrix

circle (osculating)

circles (parametric equations)

circles in polar coordinates

circuits (electrical)

circumference on an ellipse

classification of first order differential equations

closure properties of a vector space

column space of a matrix

common difference

common logarithm

Commutative Property

completing the square

completing the square

complex conjugate

complex eigenvalues of a system of differential equations

complex fractions

complex numbers

complex roots for euler equations

complex roots to the characteristic equation of a second order differential equation

component form of a vector

component of u perpendicular to v

composition of functions

compound inequality

compound interest

computer graphics and 2x2 matrices

conditional equation

conditionally convergent

conic sections in polar coordinates

conic sections with matrices

connected (strongly)

conservative vector field

constant function

constant function

constant term (of a polynomial)

continuity for a function of several variables

continuity of the inverse function

continuous compound interest

continuous vector valued function

convergence of series solutions to differential equations

converges (series)

converges to a limit

coordinate on a number line

coordinates with respect to a basis

corresponding linear operator

cosx (derivative)

critical number

critically damped free motion

cubes and factoring

current law (Krichhoff)

curvature for a plane curve

cylindrical coordinates

cylindrical coordinates for triple integration

cylindrical shells method for volume

damped free motion

dashed line (for linear inequalities)

definite integral

degree (of a polynomial)

derivative (limit definition)

derivative of a vector valued function

derivative of e^x

derivative of parametric equations

derivative of the inverse function

derivatives in polar coordinates

derivatives of arctrigonometric functions

detail coefficients for wavelets

determinant (permutation definition)

determinant (Properties)

diagonal matrix

diagonalizable matrix

diagonalize a matrix (steps to)

difference equations

difference of squares

Difference of Squares

difference quotient

difference to quotient rule for logarithms

differences between linear and nonlinear differential equations

differentiable for a function of several variables

differential equation

differential form of a line integral

differentiation of power series

dimension of a vector space

direct comparison test

directed line segment

direction cosines

directional derivative

discontinuous forcing functions

disk method for volume

distance = rate times time

distance between a point and a plane

distance between vectors

distance formula

distance formula in 3D

Distributive Property

Distributive Rule (for exponents)

divergence theorem

diverges (series)

Dividing by a Monomial

dividing rational expressions

division of complex numbers

division of power series

domain of a function of several variables

dot product of vectors

dot product properties

double integral

double integration for polar coordinates

double riemann sums

edges of a graph

electrical and mechanical vibrations

electrical circuits

electrical circuits

eliminating the parameter

elimination (3 by 3 systems)

equation of a line (Point-Slope form)

equations with rational expressions

equilibrium solutions for difference equations

equipotential lines

equivalence relationship

error and differentials

euler equations

euler's formula

even permutation

exact differential equations

exchange of stability for difference equations

existence and uniqueness for first order linear differential equations

existence and uniqueness for first order nonlinear differential equations

existence and uniqueness for second order linear differential equations

existence and uniqueness theorem for systems of differential equations

explicit function

exponential equations

exponential graph

exponentials with other bases

exponents (Integer)

Extreme Value Theorem

Extreme Value Theorem

factoring by grouping

factoring strategies

Fibonacci sequence with matrices

fields (vector fields)

First Derivative Test

First Fundamental Theorem of Calculus

first order difference equation

first order linear differential equations

fit (best fitting curve)

fluid force on a submerged rectangular sheet

fluid force on a vertical surface

forced response

forced vibrations

Fourier coefficient

fubini's theorem

function (vector valued)

function arithmetic

function composition

function notation

function of several variables

functions (definition)

functions (parametric equations)

fundamental theorem of algebra

fundamental theorem of line integrals

general linear transformation matrix

geometric power series

geometric sequence

geometric series

geometric series

geometric series test

geometry of a 2x2 matrix

Geometry Problems

Gram Schmidt process

graph of an exponential function

graphing inverses

graphing with calculus

greater than (>)

greater than or equal to (<)

greatest common factor

green's theorem

harmonic series

heaviside functions

hidden quadratics

higher order differential equations

higher order partial derivative

homogeneous differential equations

homogeneous second order differential equations

homogeneous system (Matrices)

homogeneous systems of differential equations

homogeneous systems of differential equations (solutions)

horizontal asymptote

horizontal line

horizontal line test

horizontal line test and Rolle's Theorem

horizontal shift

hyperbolic trigonometric functions

hyperboloid of one sheet

hyperboloid of two sheets

identifying conics

identity (for equations)

identity permutation

Identity Property

ij^th entry of a matrix

implicit differentiation

implicit differentiation (several variables)

implicit function

improper integrals

independence of path

index of summation

inequalities (quadratic)

inequalities (rational)

inertia (moment of inertial with double integration)

inertia (moment of inertial with triple integration)

inflection point

initial value problems

initial value problems with Laplace transforms

inner product space

instantaneous velocity

integral (double)

integral equations

integral of a vector valued function

integral transforms

integrals (line integrals)

integrating factors (for first order linear differential equations)

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

interest (compound)

Intermediate Value Theorem

Intermediate Value Theorem

intersections of parametrically defined curves

interval of convergence

inverse (graph)

inverse functions

inverse hyperbolic derivatives

inverse of a matrix

inverse of a matrix (Properties)

Inverse Property

inverse property of logarithms

inverse trigonometric functions

inverse with cofactors

inversely proportional to

inverses and linear systems

Irrational Number

irregular singular point

iterated integral

kernel of a general linear transformation

kernel of an integral transform

Krichhoff's current law

Krichhoff's voltage law

Kronecker delta symbol

Lagrange multipliers

laplace transform (definition)

Laplace transform solution to differential equations with discontinuous forcing

Laplace transform solution to initial value problems

leading coefficient

least squares regression line

least squares regression line with matrices

least squares solution

left Riemann sum

length between vectors

length of a vector

less than or equal to (<)

L'Hopital's rule

limit at infinity

limit comparison test

limit for a function of several variables

limit of a sequence

limit of a vector valued function

limits (graphical)

limits (tabular)

limits using power series

line (general algebraic equation)

line (slope definition)

line integrals (fundamental theorem)

linear algebra review

linear approximation

linear combination

linear difference equations

Linear Equations

linear first order differential equations

linear functions

linear independence

linear inequality

linear inequality (one variable)

linear inequality (two variable)

linear system of equations

linear systems and inverses

linear systems and matrices

linear transformation (definition for Rⁿ)

linear transformation matrix (for Rⁿ)

linear transformation of general vector spaces

linear transformation on general vector spaces (Properties)

linear transformation properties (for Rⁿ)

linearly dependent functions

linearly independent function (higher order)

linearly independent functions

lines (parametric equations)

lines in polar coordinates

ln x (properties)

logarithm (definition)

logarithms and integrals

logarithms with other bases

logistics equations

logistics equations

logistics growth

loop in an electrical circuit

magnitude of a vector

mass (and center of mass with triple integration)

mass (center of mass with double integration)

mass (double integration)

matrix addition

matrix multiplication

matrix of a general linear transformation

matrix of a linear transformation (for Rⁿ)

matrix subtraction

maximum (relative)

maximum and minimum problems involving parabolas

McLaurin polynomial

McLaurin series

Mean Value Theorem

Mean Value Theorem For Integrals

mechanical and electrical vibrations

Midpoint Approximation

midpoint approximation

midpoint formula

minimum (relative)

minor (of a matrix)

mixed angle formulas

Mixture Problems

M^mxn as a vector space

modeling with differential equations

moment of inertia with double integration

moment of inertia with triple integration

moments (double integration)

Monte Carlo Method

Motion Problems

multiplication of a matrix and a scalar (Properties)

multiplication of complex numbers

multiplication of matrices

multiplication of matrices (Properties)

Multiplication of Polynomials

multiplication of power series

multiplying rational expressions

natural logarithm (definition)

negatively oriented curve

Newton's method

node in an electrical circuit

nonhomogeneous second order differential equations

nonhomogeneous systems (matrices)

nonhomogeneous systems of differential equations

nonlinear systems

nonsingular equivalences

nonsingular matrix

nontrivial solution to the homogeneous system (Matrices)

normal component of acceleration

normal distribution

normal vector (principle unit)

normal vector to a parametric surface

normal vector to a plane

notation (function)

n^th partial sum

null space (finding it)

nullity of a general linear transformation

nullity of a matrix

Number Problems

odd permutation

one sided limits

one to one function

one to one linear transformation

onto for a general linear transformation

order of integration

order of operations

ordinary differential equations

oriented surface

orthogonal basis

orthogonal complement

orthogonal for general vectors

orthogonal matrix

orthogonal vectors

orthonormal basis

orthonormal basis for general vector space

osculating circle

overdamped free motion

Pappus' Theorem

parallel vectors

parallelepipeds

parameterization by arc length

parametric equation of a function

parametric equations

parametric equations of a circle

parametric equations of a line

parametric surface

partial derivative

partial differential equations

partial fractions

parts (integration by parts)

Pascal's principle

Pascal's triangle

path independence

Percent Problems

planes (equation)

P_n as a vector space

Point Slope equation of a line

polar coordinates

polar coordinates for double integration

polynomial (characteristic) for a matrix

Polynomial Division

pond (a differential equation model)

positively oriented curve

potential function

Power Rule (for exponents)

power rule for logarithms

power series review

pressure (fluid)

principle unit normal vector

problem solving (More that one variable)

problem solving (One Variable)

product rule for radicals

product to sum rule for logarithms

projectile motion (with vectors)

projection of u onto v

projection of v onto w

properties of a linear transformation (for Rⁿ)

properties of addition and subtraction of vectors

properties of linear transformations on general vector spaces

properties of ln x

properties of matrix addition

properties of matrix multiplication

properties of scalar multiplication and matrices

properties of the determinant

properties of the dot product

properties of the inverse of a matrix

properties of the transpose

properties of vector spaces

properties of vectors

proportional to

Pythagorean theorem

Pythagorean theorem

quadratic approximation

quadratic formula

quadratic formula

quadratic functions

quadratic inequalities

quadric surface

quasi frequency

quotient rule for radicals

Quotient to Difference Rule (for exponents)

quotient to difference rule for logarithms

radical equations

radical equations

radioactive dating

radioactive decay

radius of convergence

range of a matrix

rank of a general linear transformation

rank of a matrix

rate = rate in - rate out

rational expression

rational expressions

rational inequalities

Rational Number

rationalizing the denominator

real distinct roots for euler equations

real roots of the characteristic equation of a second order differential equation

rearrangement theorem

reduced row echelon form

reduction of order

reflecting about the x-axis

reflecting about the y-axis

reflection (2x2 matrices)

regression line (least squares with matrices)

regular singular point

relative extrema

relative maximum

relative maximum

relative minimum

relative minimum

remainder theorem

repeated roots for euler equations

repeated roots to the characteristic equation of a second order differential equation

Revenue equation

riemann sums (for double integration)

right Riemann sum

Rolle's Theorem

rotation (2x2 matrices)

row echelon form

row space of a matrix

rules of exponents

scalar multiplication and matrices (Properties)

scalar multiplication of vectors

Scientific Notation

second derivative of parametric equations

Second Derivative Test

second derivative test for a function of two variables

Second Fundamental Theorem of Calculus

semi-stable equilibrium point

separable differential equations

separable differential equations

sequence (arithmetic)

sequence (geometric)

series (arithmetic)

series (definition)

series (geometric)

series solutions to differential equations

shear (2x2 matrices)

shift (horizontal)

shift (vertical)

similar matrices

simply connected

Simpson's Estimate

Simpson's estimate

Simpson's Estimate

Simpson's Estimate (error)

Simpson's estimate (error)

Simpson's Estimate (error)

sinx (derivative)

solid line (for linear inequalities)

solution to an equation

solutions to higher order homogeneous differential equations

solve for a variable x

solved for a variable x

span (vectors span a space)

span of a set of vectors

special products

speed (with vectors)

spherical coordinates

spherical coordinates for triple coordinates

spring (work and Hook's law)

square of a difference

Square of a Difference

Square of a Sum

square root function

square root method

squeeze theorem

Squeeze Theorem

stable equilibrium point

stage (r-stage access)

standard form of a circle

standard form of the ellipse

steady-state solution

strongly connected

subspace definition

subtraction of matrices

Subtraction of Polynomials

subtraction of power series

subtraction of rational expressions

sum and product of roots

sum to product rule for logarithms

surface (parametric)

surface area of revolution

surface area of revolution (parametric)

surface area of revolution of a polar curve

surface integral

surface of revolution

symmetric matrix

system of differential equations (theory)

system of equations

tangent line to a curve

tangent plane to a parametric surface

tangent vector (unit)

tangential component of acceleration

Taylor polynomial

Taylor's remainder theorem

telescoping series

TFAE nonsingular equivalences

three by three systems

three dimensional coordinates

threshold level

threshold number for wavelets

threshold value for wavelets

total differential

transient solution

transition matrix

transpose of a matrix (Properties)

transposition of a permutation

Trapezoidal Rule

Trapezoidal Rule

triangle inequality

trigonometric substitution

triple integral

triple integration in cylindrical coordinates

triple integration in spherical coordinates

trivial solution to the homogeneous system (Matrices)

undamped free vibrations

undetermined coefficients

undetermined coefficients for higher order differential equations

uniqueness and existence for first order linear differential equations

uniqueness and existence for first order nonlinear differential equations

uniqueness and existence for second order linear differential equations

uniqueness and existence theorem for systems of differential equations

Unit Calculations

unit normal vector

unit step functions

unit tangent vector

unstable equilibrium point

unstable equilibrium point for a system of differential equations

variation of parameters

variation of parameters for higher order differential equations

varies jointly as

vector (n-dimensional)

vector space definition

vector space properties

vector valued function

vectors (properties)

velocity (with vectors)

vertex of a parabola

vertical asymptotes

vertical line test

Vertical Line Test

vertices of a graph

vertices of the ellipse

voltage law (Kirchhoff)

volume (with double integration)

volume of revolution

washer method for volume

work (with line integrals)

work in emptying a tank

work in lifting a chain

work in sending a rocket into orbit

work on a spring

wronskian for higher order differential equations

wronskian of a a system of differential equations

wronskian of a second order differential equation

zero product rule

zero product theorem