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Precalculus,9780130954022
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Precalculus

by
Edition:
5th
ISBN13:

9780130954022

ISBN10:
0130954020
Media:
Hardcover
Pub. Date:
12/1/1999
Publisher(s):
Prentice Hall
List Price: $105.00

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What version or edition is this?
This is the 5th edition with a publication date of 12/1/1999.
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  • The Used copy of this book is not guaranteed to inclue any supplemental materials. Typically, only the book itself is included.

Summary

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 Instructor ix(4)
Preface to the Student xiii(10)
List of Applications xxiii(4)
Photo Credits xxvii
CHAPTER 1 EQUATIONS AND GRAPHS
1(100)
1.1 Topics from Algebra and Geometry
3(14)
1.2 Solving Equations
17(8)
1.3 Setting Up Equations: Applications
25(13)
1.4 Inequalities
38(15)
1.5 Rectangular Coordinates; Graphs; Circles
53(19)
1.6 Lines
72(14)
1.7 Linear Curve Fitting
86(7)
Chapter Review
93(8)
CHAPTER 2 FUNCTIONS AND THEIR GRAPHS
101(78)
2.1 Functions
103(19)
2.2 More about Functions
122(17)
2.3 Graphing Techniques: Transformations
139(13)
2.4 Operations on Functions; Composite Functions
152(10)
2.5 Mathematical Models: Constructing Functions
162(10)
Chapter Review
172(7)
CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS
179(106)
3.1 Quadratic Functions; Curve Fitting
181(19)
3.2 Polynomial Functions
200(17)
3.3 Rational Functions
217(25)
3.4 Synthetic Division
242(4)
3.5 The Real Zeros of a Polynomial Function
246(17)
3.6 Complex Numbers; Quadratic Equations with a Negative Discriminant
263(9)
3.7 Complex Zeros; Fundamental Theorem of Algebra
272(7)
Chapter Review
279(6)
CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
285(82)
4.1 One-to-One Functions; Inverse Functions
287(11)
4.2 Exponential Functions
298(13)
4.3 Logarithmic Functions
311(9)
4.4 Properties of Logarithms; Curve Fitting
320(13)
4.5 Logarithmic and Exponential Equations
333(7)
4.6 Compound Interest
340(9)
4.7 Growth and Decay
349(8)
4.8 Logarithmic Scales
357(5)
Chapter Review
362(5)
CHAPTER 5 TRIGONOMETRIC FUNCTIONS
367(88)
5.1 Angles and Their Measure
369(11)
5.2 Trigonometric Functions: Unit Circle Approach
380(15)
5.3 Properties of the Trigonometric Functions
395(12)
5.4 Right Triangle Trigonometry
407(12)
5.5 Graphs of the Trigonometric Functions
419(11)
5.6 Sinusoidal Graphs; Sinusoidal Curve Fitting
430(18)
Chapter Review
448(7)
CHAPTER 6 ANALYTIC TRIGONOMETRY
455(64)
6.1 Trigonometric Identities
457(6)
6.2 Sum and Difference Formulas
463(9)
6.3 Double-angle and Half-angle Formulas
472(10)
6.4 Product-to-Sum and Sum-to-Product Formulas
482(4)
6.5 The Inverse Trigonometric Functions
486(16)
6.6 Trigonometric Equations
502(12)
Chapter Review
514(5)
CHAPTER 7 APPLICATIONS OF TRIGONOMETRIC FUNCTIONS
519(48)
7.1 Solving Right Triangles
521(10)
7.2 The Law of Sines
531(11)
7.3 The Law of Cosines
542(7)
7.4 The Area of a Triangle
549(7)
7.5 Simple Harmonic Motion; Damped Motion
556(6)
Chapter Review
562(5)
CHAPTER 8 POLAR COORDINATES; VECTORS
567(72)
8.1 Polar Coordinates
569(8)
8.2 Polar Equations and Graphs
577(17)
8.3 The Complex Plane; De Moivre's Theorem
594(10)
8.4 Vectors
604(11)
8.5 The Dot Product
615(10)
8.6 Vectors in Space
625(10)
Chapter Review
635(4)
CHAPTER 9 ANALYTIC GEOMETRY
639(68)
9.1 Conics
641(1)
9.2 The Parabola
642(10)
9.3 The Ellipse
652(12)
9.4 The Hyperbola
664(12)
9.5 Rotation of Axes; General Form of a Conic
676(8)
9.6 Polar Equations of Conics
684(5)
9.7 Plane Curves and Parametric Equations
689(13)
Chapter Review
702(5)
CHAPTER 10 SYSTEMS OF EQUATIONS AND INEQUALITIES
707(100)
10.1 Systems of Linear Equations: Substitution; Elimination
709(13)
10.2 Systems of Linear Equations: Matrices
722(16)
10.3 Systems of Linear Equations: Determinants
738(12)
10.4 Matrix Algebra
750(18)
10.5 Partial Fraction Decomposition
768(7)
10.6 Systems of Nonlinear Equations
775(10)
10.7 Systems of Inequalities
785(8)
10.8 Linear Programming
793(8)
Chapter Review
801(6)
CHAPTER 11 SEQUENCES; INDUCTION; COUNTING; PROBABILITY
807(76)
11.1 Sequences
809(9)
11.2 Arithmetic Sequences
818(6)
11.3 Geometric Sequences; Geometric Series
824(12)
11.4 Mathematical Induction
836(4)
11.5 The Binomial Theorem
840(9)
11.6 Sets and Counting
849(5)
11.7 Permutations and Combinations
854(11)
11.8 Probability
865(10)
Chapter Review
875(8)
CHAPTER 12 A PREVIEW OF CALCULUS: THE LIMIT AND THE DERIVATIVE OF A FUNCTION
883(36)
12.1 Finding Limits Using Tables and Graphs
885(5)
12.2 Algebra Techniques for Finding Limits
890(8)
12.3 One-Sided Limits; Continuous Functions
898(8)
12.4 The Tangent Problem; The Derivative
906(9)
Chapter Review
915(4)
APPENDIX A ALGEBRA REVIEW
919(26)
A.1 Radicals; Rational Exponents
919(7)
A.2 Polynomials and Rational Expressions
926(14)
A.3 Completing the Square; the Quadratic Formula
940(5)
APPENDIX B GRAPHING UTILITIES
945
B.1 The Viewing Rectangle
945(3)
B.2 Using a Graphing Utility to Graph Equations
948(4)
B.3 Using a Graphing Utility to Locate Intercepts
952(4)
B.4 Square Screens
956(1)
B.5 Using a Graphing Utility to Graph Inequalities
957(1)
B.6 Using a Graphing Utility to Graph a Polar Equation
958(1)
B.7 Using a Graphing Utility to Graph Parametric Equations
959
Answers AN 1
Index I 1


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