Please use this identifier to cite or link to this item:
http://localhost:8080/xmlui/handle/123456789/130159| Title: | Precalculus |
| Authors: | OpenStax College |
| Issue Date: | 2015 |
| Publisher: | Rice University |
| Abstract: | Precalculus is intended for college-level Precalculus students. Since Precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing a College Algebra and Trigonometry title tailored to the particular scope, sequence, and pedagogy of those courses. |
| link: | http://cnx.org/contents/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.2/Precalculus |
| Keywords: | Mathematics and Statistics;jump discontinuityKroneckerLaw of CosinesLaw of Sinesleading coefficientleading termleast squares regressionleft-hand limitlemniscatelimaçonlimitlimit notationlimit of a differencelimit of a powerlimit of a productlimit of a rootlimit of a sumLinear Factorization Theoremlinear functionlinear speedlocal extremalocal maximumlocal minimumlogarithmlogarithmic functionlogarithmic modellogistic growth modellogistic modellong divisionlower limit of summationmagnitudemain diagonalmajor axismatrixmatrix multiplicationmatrix operationsmeasure of an anglemidlineminor axismodel breakdownmodulusMultiplication Principlemultiplicative inverse of a matrixmultiplicitymutually exclusive eventsn factorialnatural logarithmnatural numbersnegative angleNewton’s Law of Coolingnominal ratenon-right trianglesnonlinear inequalitynth partial sumnth term of a sequenceoblique triangleodd functionone-loop limaçonone-to-one functionopposite sideorder of magnitudeordered pairordered tripleoutcomeoutputparabolaparabolic curvesparallel linesparametercofunction identitiescolumncombinationcommon differencecommon logarithmcommon ratiocomplementcomplex conjugatecomplex numbercomplex planecomponent formcomposite functioncomposition of functionscompound interestcompressing factorconicconsistent systemconstant of variationcontinuous functioncorrelation coefficientcosecant functioncosine functioncost functioncotangentcotangent functioncoterminal anglesCramer’s rulecubic functionscurvilinear pathdamped harmonic motionDe Moivre’s Theoremdecompositiondecreasing functiondegreedependent systemdependent variablederivativeDescartes’ Rule of Signsdeterminantdifferentiabledimpled limaçondirect variationdiscontinuous functiondistance formulaDivision Algorithmdomaindot productdouble-angle formulasdoubling timeeliminationellipseend behaviorentryeven functioneven-odd identitieseventexperimentexplicit formulaexponential functionexponential growthexponential modelextraneous solutionextrapolationFactor Theoremfactoringfeasible regionfinite sequencefocifocusfunctionFundamental Counting PrincipleFundamental Theorem of AlgebraGaussGaussian eliminationgeneral form of a quadratic functionGeneralized Pythagorean Theoremgeometric sequencegeometric seriesglobal maximumglobal minimumhalf-angle formulashalf-lifeharmonic motionHeaviside methodHeron’s formulahorizontal asymptotehorizontal compressionhorizontal linehorizontal line testhorizontal reflectionhorizontal shifthorizontal stretchhypotenuseidentitiesidentity matriximaginary numberinconsistent systemincreasing functionindependent systemindependent variableindex of summationinfinite sequenceinfinite seriesinitial pointinitial sideinner-loop limaçoninputinstantaneous rate of changeinstantaneous velocityIntermediate Value Theoreminterpolationinterval notationinverse cosine functioninverse functioninverse of a polynomial functioninverse of a rational functioninverse sine functioninverse tangent functioninverse trigonometric functionsinverse variationinversely proportionalinvertible functionsparameterize a curveparametric equationspartial fraction decompositionpartial fractionsperiodperiodic functionperiodic motionpermutationperpendicular linesphase shiftpiecewise functionplane curvespoint-slope formpolar axispolar coordinatespolar equationspolar formpolar form of a complex numberpolepolynomial functionposition vectorpositive anglepower functionpower rule for logarithmsprobabilityprobability modelproduct of two matricesproduct rule for logarithmsproduct-to-sum formulasprofit functionprojectile motionproperties of limitsPythagorean identitiesPythagorean Theoremquadrantal anglequadratic equationquadratic formulaquotient identitiesquotient rule for logarithmsradianradian measureradical functionsrangerate of changerational functionRational Zero Theoremrational zerosrayreciprocal identitiesrectangular coordinatesrectangular equationsrectangular formrecursive formulareduction formulasreference angleregression analysisrelationRemainder Theoremremovable discontinuityresultantrevenue functionright triangleright-hand limitrootsrose curverowrow operationsrow-echelon formrow-equivalentsample spaceSASscalarscalar multiplescalar multiplicationsecantsecant functionsecant linesequenceseriesset-builder notationsimple harmonic motionsine functionsinusoidalsinusoidal functionslopeslope-intercept formsmooth curvesolutionsolution setspecial anglesspeedsquare matrixsquare root functionsquare root of a negative numbersquare rootsSSSstandard form of a quadratic functionstandard positionstretching factorsubstitution methodsum and difference formulas for cosinesum and difference formulas for sineabsolute maximumabsolute minimumabsolute valueabsolute-value equationabsolute-value functionabsolute-value inequalityAddition Principleadjacent sidealtitudeambiguous caseamplitudeangleangle of elevationangular speedannual percentage rateannuityarc lengtharccosineArchimedes’ spiralarcsinearctangentarea of a sectorargumentarithmetic sequencearithmetic seriesarrow notationaugmented matrixaverage rate of changeaxis of symmetrybinomial coefficientbinomial expansionBinomial Theorembreak-even pointcardioidcarrying capacityCartesian equationscenter of an ellipsechange-of-base formulacircular motioncoefficientcoefficient matrixcofunctioninvertible matrixjoint variationsum and difference formulas for tangentsum-to-product formulassummation notationsymmetry testsynthetic divisionsystem of dependent equationssystem of linear equationssystem of nonlinear equationssystem of nonlinear inequalitiessystem of three equations in three variablessystems of linear equations in three variablessystems of three equationstangent functiontangent lineterm of a polynomial functionterminal pointterminal sidetermstrigonometric parametric equationsturning pointtwo-sided limitunion of two eventsunit circleunit vectorupper limit of summationupper triangular formvaries directlyvaries inverselyvectorvector additionvertexvertex form of a quadratic functionvertical asymptotevertical compressionvertical linevertical line testvertical reflectionvertical shiftvertical stretchx-intercepty-interceptzeros |
| Theme: | 教科書-自然科學類 |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.