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Essentials of College Algebra:  Enhanced with Graphing Utilities,9780131866713
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Essentials of College Algebra: Enhanced with Graphing Utilities

by ;
Edition:
4th
ISBN13:

9780131866713

ISBN10:
0131866710
Format:
Hardcover
Pub. Date:
1/1/2006
Publisher(s):
Prentice Hall
List Price: $121.33
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Summary

This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series because, simply, "IT WORKS." Mike Sullivan, after twenty-five years of teaching, knows exactly what readers need to do to succeed and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Readers who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed. This dependable text retains its best featuresaccuracy, precision, depth, strong reader support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, readers will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus. Review. Graphs, Equations, and Inequalities. Functions and Their Graphs. Polynomial and Rational Functions. Exponential and Logarithmic Functions. Systems of Equations and Inequalities. Sequences; Induction; The Binomial Theorem. For all readers interested in college algebra.

Table of Contents

Preface to the Instructor xiii
List of Applications
xix
Photo Credits xxiii
To the Student xxiv
Review
1(82)
Real Numbers
2(14)
Algebra Review
16(13)
Geometry Review
29(6)
Polynomials
35(10)
Factoring Polynomials
45(8)
Synthetic Division
53(4)
Rational Expressions
57(11)
nth Roots; Rational Exponents
68(15)
Chapter Review
76(7)
Graphs, Equations, and Inequalities
83(114)
Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations
84(16)
Solving Equations Using a Graphing Utility; Linear and Rational Equations
100(12)
Quadratic Equations
112(12)
Complex Numbers; Quadratic Equations in the Complex Number System
124(9)
Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
133(8)
Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
141(9)
Solving Inequalities
150(13)
Lines
163(17)
Circles
180(17)
Chapter Review
187(7)
Chapter Test
194(1)
Chapter Projects
195(2)
Functions and Their Graphs
197(100)
Symmetry; Graphing Key Equations
198(6)
Functions
204(15)
The Graph of a Function
219(9)
Properties of Functions
228(13)
Linear Functions and Models
241(14)
Library of Functions; Piecewise-Defined Functions
255(11)
Graphing Techniques: Transformations
266(12)
Mathematical Models: Constructing Functions
278(19)
Chapter Review
286(7)
Chapter Test
293(1)
Chapter Projects
294(1)
Cumulative Review
295(2)
Polynomial and Rational Functions
297(98)
Quadratic Functions and Models
298(20)
Polynomial Functions and Models
318(16)
Properties of Rational Functions
334(12)
The Graph of a Rational Function; Inverse and Joint Variation
346(14)
Polynomial and Rational Inequalities
360(7)
The Real Zeros of a Polynomial Function
367(14)
Complex Zeros; Fundamental Theorem of Algebra
381(14)
Chapter Review
386(6)
Chapter Test
392(1)
Chapter Projects
393(1)
Cumulative Review
393(2)
Exponential and Logarithmic Functions
395(108)
Composite Functions
396(8)
One-to-One Functions; Inverse Functions
404(15)
Exponential Functions
419(16)
Logarithmic Functions
435(13)
Properties of Logarithms
448(9)
Logarithmic and Exponential Equations
457(6)
Compound Interest
463(9)
Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay
472(13)
Building Exponential, Logarithmic, and Logistic Models from Data
485(18)
Chapter Review
493(7)
Chapter Test
500(1)
Chapter Projects
501(1)
Cumulative Review
501(2)
Systems of Equations and Inequalities
503(28)
Systems of Linear Equations: Substitution and Elimination
504(15)
Systems of Linear Equations: Matrices
Systems of Linear Equations: Determinants
Matrix Algebra
Partial Fraction Decomposition
Systems of Linear Inequalities
519(12)
Linear Programming
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Analytic Geometry
531(2)
Conics
The Parabola
The Ellipse
The Hyperbola
Systems of Nonlinear Equations and Inequalities
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Sequences; Induction; the Binomial Theorem
533(30)
Sequences
534(12)
Arithmetic Sequences
546(6)
Geometric Sequences; Geometric Series
552(11)
Mathematical Induction
The Binomial Theorem
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Counting and Probability
563
Sets and Counting
Permutations and Combinations
Probability
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Answers 1(1)
Index 1


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