Glossary of Math and Science

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

A

Absolute valueAbsolutely convergent seriesAccelerationAcceleration vectorAlgebraic functionAlternating seriesAltitude of a triangleAngle measureAngle between vectorsAngle bisectorAntiderivativeApproximate derivativeArchimedes’ principleArc lengthArea functionArea of a circle Area of a –parallelogramArea of a surfaceArithmetic progressionArgumentAsymptotes Average cost Average rate of change Average velocity

B

Bernoulli differential equationBézier curveBinomial coefficientBounded interval

C

Cauchy’s mean value theoremCauchy testCelsiusCeilingCentroidChain ruleChange of variableChange order of integrationCircle Circumcenter CircumferenceClosed intervalComparison testComplex argumentComplex number Compound interestConcaveConditionally convergent seriesConeConic sectionConservative vector fieldContinuousContinuously compounded interest Contour plotConvergent series — Coordinates (cylindricalpolarrectangular spherical) CostCritical pointCross productCross section method for volumesCurl CurtainCurvatureCurveCylinder Cylindrical coordinatesCylindrical shell method

D

DecayDecreasing functionDefinite integralDegreeDel Dependent variable — Derivative ( definitiondirectionalnotationpartial rulessecondvector ) Determinant Difference quotientDifferentiable functionDifferentialDifferential equationDifferential operatorsDirection Directional derivativeDisc method for volumes DiscontinuityDiscriminantDistance between two pointsDistance from a point to a lineDivergence theoremDivergent seriesDivided differencesDomainDoppler effectDot product — Double integral (polar coordinates rectangular coordinates) — Doubling time

E

e = 2.1828… EllipseEllipsoidEquilateral triangleError boundEssential discontinuityeuclidean normEuler’s methodEven functionExact differential equationExpected valueExponential growth and decay

F

FactorialFahrenheitFinite interval FloorFluid pressure ForceFormulas for functionsFourier polynomialsFractional partFresnel sine functionFrustumFubini’s theoremFunction (algebraiccontinuousdecreasingdefinitiondifferentiableevenexponentialhyperbolic inverseimplicit increasinglogarithmicoddone-to-onepiecewise-definedrationaltranscendentaltrigonometric) — Fundamental theorem of calculusFundamental theorem for conservative fields

G

Gaussian quadraturegeneralized power ruleGeometric seriesGradientGradient fieldGraphGravitationGreatest integer functionGreen’s theoremGrowth models

H

Half-lifeHalf-open intervalHarmonic seriesHeron’s formulaHigher derivatives Homogeneous differential equationHorizontal asymptoteHorizontal line testHorizontal tangent lineHydrostatic pressureHyperbola Hyperbolic functionHyperboloidHypotenuse

I

i = square root of -1Implicit functionsimproper integral IncenterIncome taxIncreasing functionindependent variableIndeterminate forms Infinite series Inflection point Initial value problemInner product Instantaneous rate of changeInstantaneous velocity — Integral (definitedoubleiterated line Polar coordinatesRiemann sumrulestest) — Integrating factor — Integration methods (change of variablepartial fractions partssubstitutiontrig substitution) — InterceptsInterestIntermediate value theoremInterpolating polynomialsInterval (boundedhalf openof convergenceunbounded) — Inverse functionIrreducible quadratic polynomial isosceles triangleIterated integrals

J

JouleJump discontinuity

K

Kepler’s lawsKilogramKinetic energy

L

Lagrange form of the remainderLagrange interpolating polynomialLaw of cosinesLaw of sinesLeft-hand limitLeft sumLeibniz notationLength of a vectorLength of a curveLevel curveLevel surfacel’Hôpital’s ruleLimit definitionLimit rulesLine distance to a pointLine equationsln — Line integral Linear differential equationLinear functionLinearizationLocal linearityLocal maxihttps://drive.google.com/file/d/1HYWz5dbVksP35T6hxAS7SCHCFuiDy5Gy/view?usp=share_linkmumLogarithmsLogistic growthLower sum

M

Maclaurin polynomialsMaclaurin seriesMagnitudeMarginal costMatrix additionMatrix definitionMatrix determinant MaximumMean value theoremMedian of a triangleMeterMiddle sumMinimumMoment of inertiaMonotone convergence thehttps://drive.google.com/file/d/1RPwzHJH6XIId4QRsUhWfTzGDFmgQxQw6/view?usp=share_linkoremMonotone functionMonotone sequenceMotionMultiple integrals

N

Net area Neville’s polynomial interpolation algorithm — Newton (forceinterpolating polynomialiterationcooling law of coolinglaw of gravitation method ) — Newton-Cotes formulasNorm of a vectorNormalNotation for vectors — Numerical integration (Gaussian quadratureleft summiddle sumNewton-Cotes formulasright sumSimpson’s rule trapezoidal rule)

O

Odd functionOne-to-one functionOrder of integrationOpen intervalOptimizationOperatorsOrthocenterOrthogonalOsculating circle

P

Pappus theoremParabolaParaboloidParallelepipedParallelogramParametricPartial derivativePartial fractionsPartial sumsPartsPascal’s lawPascal’s trianglePeriodic functionPerpendicularPerpendicular bisectorPi = 3.14159…Piecewise-defined functionPiecewise-smooth curvePinching theoremPitch of a roofPlane in spacePlane curvePolar coordinatesPolynomial functionPolynomial interpolationPopulationPosition functionPower rulePower series — Power series tables — PressureProbabilityProbability density function — Product (crossdotrule) — Profit Projectionp-seriesPyramidPythagorean theorem

Q

Quadric surfacesQuotient rule

R

Radian measure — Radius (of a circleof convergenceof curvatureof gyration) — Random variableRate of changeRatioRatio testRational functionReciprocal ruleRectangleRectangular coordinatesRecursiveRelated ratesRelative maximumRemovable discontinuityRevenueRiemann sum Right-hand limitRight sumRolle’s theoremRotationsRules for derivativesRules for integralsRules for limits

S

Saddle point Sample spaceSandwich theoremScalar multipleScalar projectionScalar triple productSecant lineSecond derivativeSecond derivative testSeparable differential equationSeparation of variablesSequenceSequence of partial sumsSeries (absolutely convergentalternatingcomparison testconditionally convergentgeometricharmonicinfiniteinterval of convergenceMaclaurinp-seriespowerradius of convergence ratio testTaylor) — shape of a graphShell methodsigmoidal functionSimilar trianglesSimple closed curveSimpson’s ruleSlopeSlope fieldSmooth curveSolid of revolutionSolution to a differential equationSpace curveSpeedSpherical coordinatesSpherical integrationSphereSplineSquareSqueeze theoremStandard unit vectorsStep functionStokes’ theoremSubstitutionSum rule — Surface (area definitionlevelparametricquadricof revolution) — Symmetric difference quotient

T

Table (of integralsof power seriesof trigonometric identitiesof values) — Tangent (horizontallinesplanesvertical) — Taylor polynomialsTaylor’s theoremTaylor seriesTemperatureTemperature scalesTests for extreme values — Tests for convergence of series (absolute convergencealternating seriescomparisondivergent seriesintegrallimit comparisonp-seriesratio) —
TetrahedronTranscendental functionsTransformationsTranslation of a graphTrapezoidal ruleTriangleTrigonometric functionsTrigonometric identitiesTrigonometric polynomialsTrigonometric substitution — Triple integral (in cylindrical coordinatesin rectangular coordinatesin spherical coordinates)

U

Unbounded intervalUnitsUpper sum

V

VariableVector (arithmeticcrossproductdefinitiondirectiondot productinner productmagnitudenotationprojectionsumvelocity) — Vector fieldVelocityVelocity vectorVertexVertica line testVertical tangent — Volume (of a cone — by cross sectionof a parallelepipedby shell methodof revolutionof sphereof a tetrahedronby triple integrationunder a surface)

W

Work

X

x-coordinatex-intercept

Y

y-coordinatey-intercept

Z

z-coordinate