000 10658cam a22005057i 4500
001 ocn428032328
003 OCoLC
005 20240416141046.0
008 090814s2011 caua 001 0 eng d
010 _a 2009934974
020 _a9780495387893
020 _a0495387894
020 _a9780495553953
035 _a(OCoLC)428032328
040 _aBTCTA
_beng
_erda
_cDLC
_dBTCTA
_dCUK
_dCDX
_dOCLCF
_dOCLCQ
_dSBI
042 _alccopycat
049 _aSBIM
050 _aQA152.3.C655 2011
050 _aQA152.3.P193.C655 2011
100 1 _aStewart, James,
_d1941-
_eauthor
_94693
245 1 0 _aCollege algebra :
_bconcepts and contexts /
_cJames Stewart, Lothar Redlin, Saleem Watson, Phyllis Panman.
_h[print]
250 _ainstructor's edition
260 1 _aBelmont, California :
_bBrooks/Cole Cengage Learning,
_c[(c)2011.
300 _axx, 3, 639, 90, 77, 19 pages :
_billustrations (some color) ;
_c27 cm
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
504 _aIncludes index..
505 0 _t1. DATA, FUNCTIONS, AND MissouriDELS
_tMaking sense of data
_tAnalyzing one-variable data
_tanalyzing two-variable data
_tVisualizing relationships in data
_tRelations: input and output
_tGraphing two-variable data in a coordinate plane
_tReading a Graph
_tEquations : describing relationships in data
_tMaking a linear model from data
_tGetting information from a linear model
_tFunctions : describing change
_tDefinition of function
_tWhich two-variable data represent functions? ;
_tWhich equations represent functions? ;
_tWhich graphs represent functions? ;
_tFour ways to represent a function
_tFunction notation : the concept of function as a rule
_tFunction notation
_tEvaluating Functions-net change
_tThe domain of a function
_tPiecewise defined functions
_tWorking with functions : graphs and graphing calculators
_tGraphing a function from a verbal description
_tGraphs of basic functions
_tGraphing with a graphing calculator
_tGraphing piecewise defined functions
_tWorking with functions : getting information from the graph
_tReading the graph of a function
_tDomain and range from a graph
_tIncreasing and decreasing functions
_tLocal maximum and minimum values
_tWorking with functions : modeling real-world relationships
_tModeling with functions
_tGetting information from the graph of a model
_tMaking and using formulas
_tWhat is a formula? Finding formulas
_tVariables with subscripts
_tReading and using formulas
_tExplorations
_tBias in presenting data
_tCollecting and analyzing data
_tEvery graph tells a story.
505 0 _t2. LINEAR FUNCTIONS AND MissouriDELS
_tWorking with functions : average rate of change
_tAverage rate of change of a function
_tAverage speed of a moving object
_tFunctions defined by algebraic expressions
_tLinear functions : constant rate of change
_tLinear functions
_tLinear functions and rate of change
_tLinear functions and slope
_tUsing slope and rate of change
_tEquations of lines : making linear models
_tSlope-intercept form
_tPoint-slope form
_tHorizontal and vertical lines
_tWhen is the graph of an equation a line?
_tVarying the coefficients : direct proportionality
_tVarying the constant coefficient: parallel lines
_tvarying the coefficient of x: perpendicular lines
_tModeling direct proportionality
_tLinear regression : fitting lines to data
_tThe line that best fits the data
_tUsing the line of best fit for prediction
_tHow good is the fit? the correlation coefficient
_tLinear equations : getting information from a model
_tGetting information from a linear model
_tModels that lead to linear equations
_tLinear equations : where lines meet
_tWhere lines meet
_tModeling supply and demand
_tExplorations
_tWhen rates of change change
_tLinear patterns
_tBridge science
_tCorrelation and causation
_tFair division of assets.
505 0 _t3. EXPONENTIAL FUNCTIONS AND MissouriDELS
_tExponential growth and decay
_tAn example of exponential growth
_tModeling exponential growth: the growth factor
_tModeling exponential growth: the growth rate
_tModeling exponential decay
_tExponential models : comparing rates
_tChanging the time period
_tGrowth of an investment: compound interest
_tComparing linear and exponential growth
_tAverage rate of change and percentage rate of change
_tComparing linear and exponential growth
_tLogistic growth: growth with limited resources
_tGraphs of exponential functions
_tGraphs of exponential functions
_tThe effect of varying a or c
_tFinding an exponential
_tFunction from a graph
_tFitting exponential curves to data
_tFinding exponential models for data
_tIs an exponential model appropriate? ;
_tModeling logistic growth
_tExplorations
_textreme numbers-scientific notation
_tso you want to be a millionaire? ;
_texponential patterns
_tmodeling radioactivity with coins and dice .
505 0 _t4. LOGARITHMIC FUNCTIONS AND EXPONENTIAL MissouriDELS
_tLogarithmic functions
_tLogarithms base 10
_tLogarithms base a
_tBasic properties of logarithms
_tLogarithmic functions and their graphs
_tLaws of logarithms
_tLaws of logarithms
_tExpanding and combing logarithmic expressions
_tChange of base formula
_tLogarithmic scales
_tLogarithmic scales
_tThe ph scale
_tThe decibel scale
_tThe richter scale
_tThe natural exponential and logarithmic functions
_tWhat is the number e? ;
_tThe natural exponential and logarithmic functions
_tContinuously compounded interest
_tInstantaneous rates of growth or decay
_tExpressing exponential models in terms of e
_tExponential equations : getting information from a model
_tSolving exponential and logarithmic equations
_tGetting information from exponential models: population and investment
_tGetting information from exponential models:newton's law of cooling
_tFinding the age of ancient objects: radiocarbon dating
_tWorking with functions : composition and inverse
_tFunctions o functions
_tReversing the rule of a function
_tWhich functions have inverses? Exponential and logarithmic functions as inverse functions
_tExplorations
_tsuper origami
_torders of magnitude
_tsemi-log graphs
_tthe even-tempered clavier.
505 0 _t5. QUADRATIC FUNCTIONS AND MissouriDELS
_tWorking with functions : shifting and stretching
_tShifting graphs up and down
_tShifting graphs left and right
_tStretching and shrinking graphics vertically
_tReflecting graphs
_tQuadratic functions and their graphs ;
_tThe squaring function
_tQuadratic functions in general form
_tQuadratic functions in standard form
_tGraphing using the standard form
_tMaxima and minima : getting information from a model
_tFinding maximum and minimum values
_tModeling with quadratic functions
_tQuadratic equations : getting information from a model
_tSolving quadratic equations: factoring
_tSolving quadratic equations: the quadratic formula
_tThe discriminant
_tModeling with quadratic functions
_tFitting quadratic curves to data
_tModleing data with quadratic functions
_tExplorations
_ttransformation stories
_tToricelli's law
_tquadratic patterns.
505 0 _t6. POWER, POLYNOMIAL, AND RATIONAL FUNCTIONS
_tWorking with functions : algebraic operations
_tAdding and subtracting functions
_tmultiplying and dividing functions
_tPower functions : positive powers
_tPower functions with positive integer powers
_tDirect proportionality
_tFractional positive powers
_tModeling with power functions
_tPolynomial functions : combining power functions
_tPolynomial functions
_tGraphing polynomial functions by factoring
_tEnd behavior and the leading term
_tModeling with polynomial functions
_tFitting power and polynomial curves to data
_tFitting power curves to data
_tA linear, power, or exponential model? ;
_tFitting polynomial curves to data
_tPower functions : negative powers
_tThe reciprocal function
_tInverse proportionality
_tInverse square laws
_tRational functions
_tGraphing quotients of linear functions
_tGraphing rational functions
_tExplorations
_tonly in the movies? ;
_tproportionality-shape and size; managing traffic
_talcohol and the surge function.
505 0 _t7. SYSTEMS OF EQUATIONS AND DATA Indiana CaliforniaTEGORIES
_tSystems of linear equations in two variables
_tSystems of equations and their solutions
_tThe substitution method
_tThe elimination method
_tGraphical interpretation: the number of solutions
_tApplications: how much gold is in the crown?
_tSystems of linear equations in several variables
_tSolving a linear system
_tInconsistent and dependent systems
_tModeling with linear systems
_tUsing matrices to solve systems of linear equations
_tMatrices
_tThe augmented matrix of a linear system
_tElementary row operations
_tRow-echelon form
_tReduced row-echelon form
_tInconsistent and dependent systems
_tMatrices and data in categories ;
_tOrganizing categorical data in a matrix
_tAdding matrices
_tScalar multiplication of matrices
_tMultiplying a matrix times a column matrix
_tMatrix operations : getting information from data
_tAddition, subtraction, and scalar multiplication
_tMatrix multiplication
_tGetting information from categorical data
_tMatrix equations : solving a linear system
_tThe inverse of a matrix
_tMatrix equations
_tModeling with matrix equations
_tExplorations
_tcollecting categorical data
_twill the species survive?.
505 0 _tAlgebra toolkit A : working with numbers
_tnumbers and their properties
_tthe number line and intervals
_tinteger exponents; radicals and rational exponents
_tAlgebra toolkit B : working with expressions
_tcombining algebraic expressions
_tfactoring algebraic expressions
_trational expressions
_tAlgebra toolkit C : working with equations
_tsolving basic equations
_tsolving quadratic equations
_tsolving inequalities
_tAlgebra toolkit D : working with graphs
_tthe coordinate plane
_tgraphs of two-variable equations
_tusing a graphing calculator
_tsolving equations and inequalities graphically.
520 _aThis textbook presents graphic, numeric and analytic approaches to the study of precalculus concepts from college algebra. It includes application of appropriate technology including graphing calculators to model, analyze and interpret a collection of data or to solve real-world application problems from a variety of disciplines. Topics include: the real number system; algebraic, exponential and logarithmic functions and their inverses; graphing techniques for polynomial and rational functions; complex numbers; theory of equations; partial fractions; mathematical induction; sequences and series; matrices; and the binomial theorem.
530 _a2
653 _aAlgebra
700 1 _aRedlin, Lothar,
_eaut
_94695
700 1 _aWatson, Saleem,
_eaut
_94696
700 1 _aPanman, Phyllis,
_eaut
_94697
902 _c1
_dCYNTHIA SNELL
_a1
_bCYNTHIA SNELL
942 _cBK
_hQA
_m2011
_e4
_i2019-10-28
_k0.00
_2ddc
_w$31.10
999 _c17759
_d17759