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Algebra and Trigonometry,9780130800060
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Algebra and Trigonometry

by
Edition:
5th
ISBN13:

9780130800060

ISBN10:
0130800066
Format:
Hardcover
Pub. Date:
8/1/1998
Publisher(s):
Prentice Hall
List Price: $114.00
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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; Trigonometric Functions; Exponential and Logarithmic Functions; Analytic Geometry; Analytic Trigonometry; Counting and Probability; and more. For individuals with an interest in learning algebra and trigonometry as it applies to their everyday lives.

Table of Contents

Preface to the Instructor ix
Preface to the Student xiii
List of Applications
xxi
Photo Credits xxv
Preliminaries
1(86)
Real Numbers
3(18)
Approximations; Calculators
21(4)
Integer Exponents
25(8)
Polynomials
33(11)
Factoring Polynomials
44(8)
Rational Expressions
52(11)
Square Roots; Radicals
63(8)
Rational Exponents
71(6)
Geometry Topics
77(10)
Chapter Review
82(5)
Equations and Inequalities
87(74)
Equations
89(9)
Setting Up Equations: Applications
98(11)
Quadratic Equations
109(14)
Other Types of Equations
123(4)
Inequalities
127(10)
Linear Inequalities
137(7)
Polynomial and Rational Inequalities
144(8)
Equations and Inequalities Involving Absolute Value
152(9)
Chapter Review
157(4)
Graphs
161(66)
Rectangular Coordinates: Scatter Diagrams
163(11)
Graphs of Equations
174(11)
Lines
185(13)
Parallel and Perpendicular Lines: Circles
198(10)
Linear Curve Fitting
208(7)
Variation
215(12)
Chapter Review
222(5)
Functions and Their Graphs
227(78)
Functions
229(19)
More about Functions
248(17)
Graphing Techniques: Transformations
265(13)
Operations on Functions; Composite Functions
278(10)
Mathematical Models: Constructing Functions
288(17)
Chapter Review
298(7)
Polynomial and Rational Functions
305(106)
Quadratic Functions; Curve Fitting
307(19)
Polynomial Functions
326(17)
Rational Functions
343(25)
Syntehtic Division
368(4)
The Real Zeros of a Polynomial Function
372(17)
Complex Numbers; Quadratic Equations with a Negative Discriminant
389(9)
Complex Zeros; Fundamental Theorem of Algebra
398(13)
Chapter Review
405(6)
Exponential and Logarithmic Functions
411(82)
One-to-One Functions; Inverse Functions
413(11)
Exponential Functions
424(13)
Logarithmic Functions
437(9)
Properties of Logarithms; Curve Fitting
446(13)
Logarithmic and Exponential Equations
459(7)
Compound Interest
466(9)
Growth and Decay
475(8)
Logarithmic Scales
483(10)
Chapter Review
488(5)
Trigonometric Functions
493(90)
Angles and Their Measure
495(11)
Right Triangle Trigonometry
506(11)
Computing the Values of Trigonometric Functions of Given Angles
517(7)
Trigonometric Functions of General Angles
524(11)
Properties of the Trigonometric Functions; Unit Circle Approach
535(11)
Graphs of the Trigonometric Functions
546(11)
Sinusoidal Graphs; Sinusoidal Curve Fitting
557(26)
Chapter Review
576(7)
Analytic Trigonometry
583(64)
Trigonometric Identities
585(6)
Sum and Difference Formulas
591(9)
Double-angle and Half-angle Formulas
600(10)
Product-to-Sum and Sum-to-Product Formulas
610(4)
The Inverse Trigonometric Functions
614(16)
Trigonometric Equations
630(17)
Chapter Review
642(5)
Application of Trigonometric Functions
647(48)
Solving Right Triangles
649(10)
The Law of Sines
659(11)
The Law of Cosines
670(7)
The Area of a Triangle
677(7)
Simple Harmonic Motion; Damped Motion
684(11)
Chapter Review
690(5)
Polar Coordinates: Vectors
695(62)
Polar Coordinates
697(8)
Polar Equations and Graphs
705(17)
The Complex Plane; DeMoivre's Theorem
722(10)
Vectors
732(11)
The Dot Product
743(14)
Chapter Review
753(4)
Analytic Geometry
757(68)
Conics
759(1)
The Parabola
760(10)
The Ellipse
770(12)
The Hyperbola
782(12)
Rotation of Axes; General Form of a Conic
794(8)
Polar Equations of Conics
802(5)
Plane Curves and Parametric Equations
807(18)
Chapter Review
820(5)
Systems of Equations and Inequalities
825(100)
Systems of Linear Equations: Substitution; Elimination
827(13)
Systems of Linear Equations: Matrices
840(16)
Systems of Linear Equations: Determinants
856(12)
Matrix Algebra
868(18)
Partial Fraction Decomposition
886(7)
Systems of Nonlinear Equations
893(10)
Systems of Inequalities
903(8)
Linear Programming
911(14)
Chapter Review
919(6)
Sequences; Induction; Counting; Probability
925(76)
Sequences
927(9)
Arithmetic Sequences
936(6)
Geometric Sequences; Geometric Series
942(12)
Mathematical Induction
954(4)
The Binomial Theorem
958(9)
Sets and Counting
967(5)
Permutations and Combinations
972(11)
Probability
983(18)
Chapter Review
993(8)
APPENDIX GRAPHING UTILITIES 1001
1. The Viewing Rectangle
1001(3)
2. Using a Graphing Utility to Graph Equations
1004(4)
3. Using a Graphing Utility to Locate Intercepts
1008(4)
4. Square Screens
1012(1)
5. Using a Graphing Utility to Graph Ineuqulities
1013(1)
6. Using a Graphing Utility to Graph a Polar Equation
1014(1)
7. Using a Grraphing Utility to Graph Parametric Equations
1015
Answers 1(1)
Index 1


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