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College Algebra : Graphs and Models

ISBN: 9780077221287 | 0077221281
Edition: 3rd
Format: Hardcover
Publisher: McGraw-Hill Science/Engineering/Math
Pub. Date: 2/1/2008

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SummaryTable of Contents
TheBarnett Graphs & Modelsseries in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes.A hallmark of the Barnett series, the function concept se... MORE
... MORE
Prefacep. vii
Application Indexp. xvi
Functions, Graphs, and Modelsp. 1
Using Graphing Calculatorsp. 2
Functionsp. 21
Functions: Graphs and Propertiesp. 46
Functions: Graphs and Transformationp. 67
Operations on Functions; Compositionp. 84
Inverse Functionsp. 99
Chapter 1 Reviewp. 119
Chapter 1 Group Activity: Mathematical Modeling: Choosing a Cell Phone Providerp. 126
Modeling with Linear and Quadratic Functionsp. 127
Linear Functionsp. 128
Linear Equations and Modelsp. 151
Quadratic Functionsp. 172
Complex Numbersp. 190
Quadratic Equations and Modelsp. 206
Additional Equation-Solving Techniquesp. 226
Solving Inequalitiesp. 241
Chapter 2 Reviewp. 258
Chapter 2 Group Activity: Mathematical
Modeling in Population Studiesp. 265
Cumulative Review Exercises Chapter 1-2p. 267
Polynomial and Rational Functionsp. 273
Polynomial Functions and Modelsp. 274
Polynomial Divisionp. 291
Real Zeros and Polynomial Inequalitiesp. 303
Complex Zeros and Rational Zeros of Polynomialsp. 320
Rational Functions and Inequalitiesp. 336
Variation and Modelingp. 361
Chapter 3 Reviewp. 371
Chapter 3 Group Activity: Interpolating Polynomialsp. 378
Exponential and Logarithmic Functionsp. 381
Exponential Functionsp. 382
Exponential Modelsp. 399
Logarithmic Functionsp. 416
Logarithmic Modelsp. 430
Exponential and Logarithmic Equationsp. 440
Chapter 4 Reviewp. 462
Chapter 4 Group Activity: Comparing Regression Modelsp. 456
Cumulative Review Exercises Chapter 3-4p. 457
Modeling with Systems of Equations and Inequalitiesp. 463
Systems of Linear Equations in Two Variablesp. 464
Systems of Linear Equations in Three Variablesp. 482
Systems of Linear Inequalitiesp. 495
Linear Programmingp. 510
Chapter 5 Reviewp. 522
Chapter 5 Group Activity: Heat Conductionp. 526
Matrices and Determinantsp. 527
Systems of Linear Equations: Gauss-Jordan Eliminationp. 528
Matrix Operationsp. 547
Inverse of a Square Matrixp. 565
Matrix Equations and Systems of Linear Equationsp. 578
Determinantsp. 588
Properties of Determinantsp. 597
Determinants and Cramer's Rulep. 604
Chapter 6 Reviewp. 610
Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profitp. 616
Cumulative Review Exercises Chapter 5-6p. 618
Sequences, Induction, and Probabilityp. 621
Sequences and Seriesp. 622
Mathematical Inductionp. 633
Arithmetic and Geometric Sequencesp. 644
The Multiplication Principle, Permutations, and Combinationsp. 659
Sample Spaces and Probabilityp. 676
The Binomial Formulap. 696
Chapter 7 Reviewp. 704
Chapter 7 Group Activity: Sequences Specified by Recursion Formulasp. 709
Additional Topics in Analytic Geometryp. 711
Conic Sections; Parabolap. 712
Ellipsep. 723
Hyperbolap. 735
Systems of Nonlinear Equationsp. 750
Chapter 8 Reviewp. 761
Chapter 8 Group Activity: Focal Chordsp. 765
Cumulative Review Exercises Chapter 7-8p. 766
Basic Algebra Reviewp. A-1
Algebra and Real Numbersp. A-2
Exponentsp. A-13
Radicalsp. A-27
Polynomials: Basic Operationsp. A-36
Polynomials: Factoringp. A-47
Rational Expressions: Basic Operationsp. A-58
Review *
Group Activity: Rational and Irrational Numbers *
*Available online at www.mhhe.com/barnett
Review of Equations and Graphingp. A-69
Linear Equations and Inequalitiesp. A-70
Cartesian Coordinate Systemp. A-82
Basic Formulas in Analytic Geometryp. A-91
Special Topicsp. A-105
Significant Digitsp. A-106
Partial Fractionsp. A-109
Descartes' Rule of Signsp. A-118
Parametric Equations *
*Available online at www.mhhe.com/barnett
Geometric Formulasp. A-123
Table of Contents provided by Ingram. All Rights Reserved.

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