Cover image for Precalculus : enhanced with graphing utilities
Title:
Precalculus : enhanced with graphing utilities
Author:
Sullivan, Michael, 1942-
Personal Author:
Edition:
Second edition.
Publication Information:
Upper Saddle River, N.J. : Prentice Hall, [2000]

©2000
Physical Description:
xxvii, 1006 pages, 104 pages, 10 pages : illustrations (some color) ; 26 cm
General Note:
Includes index.
Language:
English
ISBN:
9780130206923
Format :
Book

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Library
Call Number
Material Type
Home Location
Status
Central Library QA331.3 .S926 2000 Adult Non-Fiction Non-Fiction Area
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Summary

Summary

This textbook is intended to meet the needs of students with little background or interest in mathematics as well as those with a strong math background and plans for advanced study. It introduces the terminology and basic concepts of precalculus. Each chapter includes brief articles tying the conce


Table of Contents

Preface to the Instructorp. ix
Preface to the Studentp. xiii
List of Applicationsp. xxiii
Photo Creditsp. xxvii
Chapter 1 Graphsp. 1
1.1 Rectangular Coordinates; Graphing Utilities; Scatter Diagramsp. 2
1.2 Graphs of Equationsp. 15
1.3 Solving Equationsp. 26
1.4 Setting Up Equations; Applicationsp. 39
1.5 Solving Inequalitiesp. 51
1.6 Linesp. 63
1.7 Circlesp. 79
Chapter Reviewp. 86
Chapter Projectsp. 91
Chapter 2 Function and Modelsp. 93
2.1 Functionsp. 94
2.2 Linear Functions and Modelsp. 110
2.3 Characteristics of Functions; Library of Functionsp. 119
2.4 Graphing Techniques: Transformationsp. 139
2.5 Operations on Functions; Composite Functionsp. 152
2.6 Mathematical Models; Constructing Functionsp. 161
Chapter Reviewp. 169
Chapter Projectsp. 174
Chapter 3 Polynomial and Rational Functionsp. 177
3.1 Quadratic Functions and Modelsp. 178
3.2 Power Functions and Modelsp. 197
3.3 Polynomial Functions and Modelsp. 203
3.4 The Real Zeros of a Polynomial Functionp. 214
3.5 Complex Numbers; Quadratic Equations with a Negative Discriminantp. 228
3.6 Complex Zeros; Fundamental Theorem of Algebrap. 237
3.7 Rational Functionsp. 243
3.8 Polynomial and Rational Inequalitiesp. 264
Chapter Reviewp. 273
Chapter Projectsp. 278
Chapter 4 Exponential and Logarithmic Functionsp. 281
4.1 One-to-One Functions; Inverse Functionsp. 282
4.2 Exponential Functionsp. 294
4.3 Logarithmic Functionsp. 306
4.4 Properties of Logarithmsp. 316
4.5 Logarithmic and Exponential Equationsp. 325
4.6 Compound Interestp. 331
4.7 Growth and Decayp. 341
4.8 Exponential, Logarithmic, and Logistic Curve Fittingp. 350
Chapter Reviewp. 360
Chapter Projectsp. 364
Chapter 5 Trigonometric Functionsp. 367
5.1 Angles and Their Measurep. 368
5.2 Trigonometric Functions: Unit Circle Approachp. 379
5.3 Properties of the Trigonometric Functionsp. 393
5.4 Right Triangle Trigonometryp. 404
5.5 Graphs of the Trigonometric Functionsp. 414
5.6 Sinusoidal Graphs; Sinusoidal Curve Fittingp. 425
Chapter Reviewp. 443
Chapter Projectsp. 449
Chapter 6 Analytic Trigonometryp. 451
6.1 Trigonometric Identitiesp. 452
6.2 Sum and Difference Formulasp. 458
6.3 Double-Angle and Half-Angle Formulasp. 467
6.4 Product-to-Sum and Sum-to-Product Formulasp. 477
6.5 The Inverse Trigonometric Functionsp. 480
6.6 Trigonometric Equations (I)p. 496
6.7 Trigonometric Equations (II)p. 501
Chapter Reviewp. 508
Chapter Projectsp. 512
Chapter 7 Applications of Trigonometric Functionsp. 515
7.1 Solving Right Trianglesp. 516
7.2 The Law of Sinesp. 525
7.3 The Law of Cosinesp. 537
7.4 The Area of a Trianglep. 543
7.5 Simple Harmonic Motion; Damped Motionp. 549
Chapter Reviewp. 556
Chapter Projectsp. 561
Chapter 8 Polar Coordinates; Vectorsp. 563
8.1 Polar Coordinatesp. 564
8.2 Polar Equations and Graphsp. 572
8.3 The Complex Plane; DeMoivre's Theoremp. 592
8.4 Vectorsp. 600
8.5 The Dot Productp. 611
8.6 Vectors in Spacep. 621
Chapter Reviewp. 631
Chapter Projectsp. 634
Chapter 9 Analytic Geometryp. 637
9.1 Conicsp. 638
9.2 The Parabolap. 639
9.3 The Ellipsep. 651
9.4 The Hyperbolap. 664
9.5 Rotation of Axes; General Form of a Conicp. 678
9.6 Polar Equations of Conicsp. 687
9.7 Plane Curves and Parametric Equationsp. 693
Chapter Reviewp. 708
Chapter Projectsp. 711
Chapter 10 Systems of Equations and Inequalitiesp. 713
10.1 Systems of Linear Equations: Two Equations Containing Two Variablesp. 714
10.2 Systems of Linear Equations: Three Equations Containing Three Variablesp. 725
10.3 Systems of Linear Equations: Matricesp. 731
10.4 Systems of Linear Equations: Determinantsp. 746
10.5 Matrix Algebrap. 757
10.6 Partial Fraction Decompositionp. 777
10.7 Systems of Nonlinear Equationsp. 784
10.8 Systems of Linear Inequalities; Linear Programmingp. 795
Chapter Reviewp. 812
Chapter Projectsp. 817
Chapter 11 Sequences; Induction; The Binomial Theoremp. 819
11.1 Sequencesp. 820
11.2 Arithmetic Sequencesp. 832
11.3 Geometric Sequences; Geometric Seriesp. 839
11.4 Mathematical Inductionp. 855
11.5 The Binomial Theoremp. 859
Chapter Reviewp. 866
Chapter Projectsp. 870
Chapter 12 Counting and Probabilityp. 873
12.1 Sets and Countingp. 874
12.2 Permutations and Combinationsp. 880
12.3 Probability of Equally Likely Outcomesp. 890
12.4 Analyzing Univariate Data; Obtaining Probabilities from Datap. 906
Chapter Reviewp. 920
Chapter Projectsp. 925
Chapter 13 A Preview of Calculus: the Limit and the Derivative of a Functionp. 927
13.1 Finding Limits Using Tables and Graphsp. 928
13.2 Algebra Techniques for Finding Limitsp. 933
13.3 One-sided Limits; Continuous Functionsp. 941
13.4 The Tangent Problem; The Derivativep. 948
Chapter Reviewp. 956
Chapter Projectsp. 960
Appendicesp. 963
A.1 Topics from Algebra and Geometryp. 963
A.2 Completing the Square; The Quadratic Formulap. 977
A.3 Polynomialsp. 981
A.4 Polynomial Divisionp. 988
A.5 Rational Expressionsp. 994
A.6 Radicals; Rational Exponentsp. 1000
Answersp. AN1
Indexp. I1

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