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College Algebra Essentials,9780131469631
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College Algebra Essentials

by
Edition:
7th
ISBN13:

9780131469631

ISBN10:
0131469630
Format:
Hardcover
Pub. Date:
1/1/2005
Publisher(s):
Prentice Hall
List Price: $106.67
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Summary

The&Eighth Edition of this highly dependable book retains its best featuresaccuracy, precision, depth, and abundant exercise setswhile 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; Conics; Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more. For individuals with an interest in learning algebra as it applies to their everyday lives.

Table of Contents

The Essentials Edition xi
Preface to the Instructor xiii
List of Applications
xix
Photo Credits xxiii
Review
1(82)
Real Numbers
2(15)
Algebra Review
17(12)
Geometry Review
29(6)
Polynomials
35(8)
Factoring Polynomials
43(9)
Polynomial Division; Synthetic Division
52(6)
Rational Expressions
58(12)
nth Roots; Rational Exponents
70(13)
Chapter Review
77(6)
Equations and Inequalities
83(74)
Linear Equations
84(12)
Quadratic Equations
96(13)
Quadratic Equations in the Complex Number System
109(9)
Radical Equations; Equations Quadratic in Form; Factorable Equations
118(7)
Solving Inequalities
125(11)
Equations and Inequalities Involving Absolute Value
136(5)
Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs
141(16)
Chapter Review
151(4)
Chapter Projects
155(2)
Graphs
157(60)
Rectangular Coordinates
158(7)
Graphs of Equations
165(10)
Circles
175(6)
Lines
181(13)
Parallel and Perpendicular Lines
194(5)
Scatter Diagrams; Linear Curve Fitting
199(7)
Variation
206(11)
Chapter Review
212(4)
Chapter Projects
216(1)
Cumulative Review
216(1)
Functions and Their Graphs
217(74)
Functions
218(13)
The Graph of a Function
231(9)
Properties of Functions
240(11)
Library of Functions; Piecewise-defined Functions
251(11)
Graphing Techniques: Transformations
262(13)
Mathematical Models: Constructing Functions
275(16)
Chapter Review
283(6)
Chapter Projects
289(1)
Cumulative Review
290(1)
Polynomial and Rational Functions
291(100)
Quadratic Functions and Models
292(20)
Polynomial Functions
312(18)
Rational Functions I
330(11)
Rational Functions II: Analyzing Graphs
341(15)
Polynomial and Rational Inequalities
356(6)
The Real Zeros of a Polynomial Function
362(15)
Complex Zeros; Fundamental Theorem of Algebra
377(14)
Chapter Review
383(5)
Chapter Projects
388(1)
Cumulative Review
389(2)
Exponential and Logarithmic Functions
391(100)
Composite Functions
392(7)
Inverse Functions
399(13)
Exponential Functions
412(16)
Logarithmic Functions
428(13)
Properties of Logarithms
441(9)
Logarithmic and Exponential Equations
450(5)
Compound Interest
455(10)
Exponential Growth and Decay; Newton's Law; Logistic Models
465(9)
Fitting Data to Exponential, Logarithmic, and Logistic Functions
474(17)
Chapter Review
482(6)
Chapter Projects
488(1)
Cumulative Review
489(2)
Analytic Geometry
491(2)
Conics
The Parabola
The Ellipse
The Hyperbola
Chapter Review
Chapter Projects
Cumulative Review
Systems of Equations and Inequalities
493(18)
Systems of Linear Equations: Substitution and Elimination
494(17)
Systems of Linear Equations: Matrices
Systems of Linear Equations: Determinants
Matrix Algebra
Partial Fraction Decomposition
Systems of Nonlinear Equations
Systems of Inequalities
Linear Programming
Chapter Review
Chapter Projects
Cumulative Review
Sequences; Induction; the Binomial Theorem
511(30)
Sequences
512(9)
Arithmetic Sequences
521(6)
Geometric Sequences; Geometric Series
527(14)
Mathematical Induction
The Binomial Theorem
Chapter Review
Chapter Projects
Cumulative Review
Counting and Probability
541(2)
Sets and Counting
Permutations and Combinations
Probability
Chapter Review
Chapter Projects
Cumulative Review
Appendix Graphing Utilities
543
1 The Viewing Rectangle
543(2)
2 Using a Graphing Utility to Graph Equations
545(4)
3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
549(2)
4 Using a Graphing Utility to Solve Equations
551(2)
5 Square Screens
553
6 Using a Graphing Utility to Graph Inequalities
7 Using a Graphing Utility to Solve Systems of Linear Equations
Answers 1(1)
Index 1


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