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  • Edition: 7th
  • Format: Hardcover
  • Copyright: 2004-03-12
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The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. Chapter topics include Graphs; Polynomial and Rational Functions; Trigonometric Functions; Analytic Trigonometry; Analytic Geometry; Counting and Probability; A Preview of Calculus; and more. For individuals with an interest in learning Precalculus as it applies to their everyday lives.

Table of Contents

Preface to the Instructorp. xiii
List of Applicationsp. xix
Photo Creditsp. xxv
To the Studentp. xxvi
Graphsp. 1
The Distance and Midpoint Formulasp. 2
Graphs of Equations in Two Variables; Intercepts; Symmetryp. 9
Linesp. 19
Circlesp. 35
Chapter Reviewp. 42
Chapter Testp. 44
Chapter Projectsp. 45
Functions and Their Graphsp. 47
Functionsp. 48
The Graph of a Functionp. 62
Properties of Functionsp. 71
Library of Functions; Piecewise-defined Functionsp. 82
Graphing Techniques: Transformationsp. 92
Mathematical Models: Building Functionsp. 104
Chapter Reviewp. 109
Chapter Testp. 114
Cumulative Reviewp. 115
Chapter Projectsp. 116
Linear and Quadratic Functionsp. 117
Linear Functions and Their Propertiesp. 118
Building Linear Functions from Datap. 127
Quadratic Functions and Their Propertiesp. 133
Quadratic Models; Building Quadratic Functions from Datap. 145
Inequalities Involving Quadratic Functionsp. 154
Chapter Reviewp. 158
Chapter Testp. 160
Cumulative Reviewp. 161
Chapter Projectsp. 162
Polynomial and Rational Functionsp. 163
Polynomial Functions and Modelsp. 164
Properties of Rational Functionsp. 184
The Graph of a Rational Functionp. 195
Polynomial and Rational Inequalitiesp. 209
The Real Zeros of a Polynomial Functionp. 215
Complex Zeros; Fundamental Theorem of Algebrap. 229
Chapter Reviewp. 234
Chapter Testp. 238
Cumulative Reviewp. 238
Chapter Projectsp. 239
Exponential and Logarithmic Functionsp. 241
Composite Functionsp. 242
One-to-One Functions; Inverse Functionsp. 249
Exponential Functionsp. 263
Logarithmic Functionsp. 277
Properties of Logarithmsp. 290
Logarithmic and Exponential Equationsp. 299
Compound Interestp. 305
Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Modelsp. 315
Building Exponential, Logarithmic, and Logistic Models from Datap. 327
Chapter Reviewp. 334
Chapter Testp. 340
Cumulative Reviewp. 341
Chapter Projectsp. 342
Trigonometric Functionsp. 343
Angles and Their Measurep. 344
Trigonometric Functions: Unit Circle Approachp. 357
Properties of the Trigonometric Functionsp. 373
Graphs of the Sine and Cosine Functionsp. 386
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functionsp. 401
Phase Shift; Sinusoidal Curve Fittingp. 408
Chapter Reviewp. 419
Chapter Testp. 424
Cumulative Reviewp. 425
Chapter Projectsp. 426
Analytic Trigonometryp. 427
The Inverse Sine, Cosine, and Tangent Functionsp. 428
The Inverse Trigonometric Functions (Continued)p. 440
Trigonometric Identitiesp. 446
Sum and Difference Formulasp. 453
Double-angle and Half-angle Formulasp. 463
Product-to-Sum and Sum-to-Product Formulasp. 472
Trigonometric Equations (I)p. 475
Trigonometric Equations (II)p. 482
Chapter Reviewp. 489
Chapter Testp. 492
Cumulative Reviewp. 493
Chapter Projectsp. 493
Applications of Trigonometric Functionsp. 495
Applications Involving Right Trianglesp. 496
The Law of Sinesp. 508
The Law of Cosinesp. 519
Area of a Trianglep. 525
Simple Harmonic Motion; Damped Motion; Combining Wavesp. 531
Chapter Reviewp. 541
Chapter Testp. 545
Cumulative Reviewp. 546
Chapter Projectsp. 546
Polar Coordinates; Vectorsp. 549
Polar Coordinatesp. 550
Polar Equations and Graphsp. 558
The Complex Plane; DeMoivre's Theoremp. 574
Vectorsp. 582
The Dot Productp. 593
Vectors in Spacep. 601
The Cross Productp. 610
Chapter Reviewp. 616
Chapter Testp. 620
Cumulative Reviewp. 620
Chapter Projectsp. 621
Analytic Geometryp. 623
Conicsp. 624
The Parabolap. 625
The Ellipsep. 634
The Hyperbolap. 644
Rotation of Axes; General Form of a Conicp. 656
Polar Equations of Conicsp. 664
Plane Curves and Parametric Equationsp. 670
Chapter Reviewp. 682
Chapter Testp. 685
Cumulative Reviewp. 685
Chapter Projectsp. 686
Systems of Equations and Inequalitiesp. 687
Systems of Linear Equations: Substitution and Eliminationp. 688
Systems of Linear Equations: Matricesp. 702
Systems of Linear Equations: Determinantsp. 717
Matrix Algebrap. 727
Partial Fraction Decompositionp. 743
Systems of Nonlinear Equationsp. 750
Systems of Inequalitiesp. 759
Linear Programmingp. 767
Chapter Reviewp. 773
Chapter Testp. 777
Cumulative Reviewp. 778
Chapter Projectsp. 779
Sequences; Induction; the Binomial Theoremp. 781
Sequencesp. 782
Arithmetic Sequencesp. 791
Geometric Sequences; Geometric Seriesp. 797
Mathematical Inductionp. 809
The Binomial Theoremp. 813
Chapter Reviewp. 819
Chapter Testp. 822
Cumulative Reviewp. 822
Chapter Projectsp. 823
Counting and Probabilityp. 825
Countingp. 826
Permutations and Combinationsp. 831
Probabilityp. 840
Chapter Reviewp. 850
Chapter Testp. 852
Cumulative Reviewp. 853
Chapter Projectsp. 853
A Preview of Calculus: The Limit, Derivative, and Integral of a Functionp. 855
Finding Limits Using Tables and Graphsp. 856
Algebra Techniques for Finding Limitsp. 861
One-sided Limits; Continuous Functionsp. 868
The Tangent Problem; The Derivativep. 875
The Area Problem; The Integralp. 883
Chapter Reviewp. 889
Chapter Testp. 893
Chapter Projectsp. 894
Reviewp. A1
Algebra Essentialsp. A1
Geometry Essentialsp. A14
Polynomialsp. A22
Synthetic Divisionp. A31
Rational Expressionsp. A35
Solving Equationsp. A43
Complex Numbers; Quadratic Equations in the Complex Number Systemp. A54
Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applicationsp. A62
Interval Notation; Solving Inequalitiesp. A72
nth Roots; Rational Exponentsp. A81
Graphing Utilitiesp. B1
The Viewing Rectanglep. B1
Using a Graphing Utility to Graph Equationsp. B3
Using a Graphing Utility to Locate Intercepts and Check for Symmetryp. B6
Using a Graphing Utility to Solve Equationsp. B8
Square Screensp. B10
Using a Graphing Utility to Graph Inequalitiesp. B11
Using a Graphing Utility to Solve Systems of Linear Equationsp. B12
Using a Graphing Utility to Graph a Polar Equationp. B13
Using a Graphing Utility to Graph Parametric Equationsp. B14
Answersp. AN1
Indexp. I1
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