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College Algebra Enhanced with Graphing Utilities,9780130655929
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College Algebra Enhanced with Graphing Utilities

by ;
Edition:
3rd
ISBN13:

9780130655929

ISBN10:
0130655929
Format:
Hardcover
Pub. Date:
1/1/2003
Publisher(s):
Prentice Hall
List Price: $116.00

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Summary

The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage of linear, quadratic, polynomial, rational, exponential and logarithmic functions. In addition, this book discusses the zeros of a polynomial function, systems of equations and inequalities, probability, and conics. For anyone who needs to brush up on everyday or business-related mathematics.

Table of Contents

Preface to the Instructor xi
Preface to the Student xvi
List of Applications
xxvii
Photo Credits xxxiii
Review
1(88)
Real Numbers
2(15)
Algebra Review
17(8)
Geometry Review
25(5)
Integer Exponents
30(9)
Polynomials
39(11)
Factoring Polynomials
50(9)
Rational Expressions
59(12)
Square Roots; Radicals
71(8)
Rational Exponents
79(10)
Chapter Review
84(5)
Graphs
89(106)
Rectangular Coordinates; Graphing Utilities
90(10)
Introduction to Graphing Equations
100(9)
Solving Equations Using a Graphing Utility; Linear and Quadratic Equations
109(18)
Setting Up Equations; Applications
127(15)
Radical Equations; Equations Quadratic in Form; Absolute Value Equations
142(7)
Solving Inequalities
149(14)
Lines
163(17)
Circles
180(15)
Chapter Review
186(6)
Chapter Projects
192(3)
Linear and Quadratic Functions
195(60)
Functions
196(19)
Linear Functions and Models
215(11)
Quadratic Functions
226(11)
Quadratic Models
237(18)
Chapter Review
248(4)
Chapter Projects
252(1)
Cumulative Review
252(3)
Functions and Their Graphs
255(68)
Symmetry; Graphing Key Equations
256(7)
Properties of Functions
263(13)
Library of Functions; Piecewise-Defined Functions
276(10)
Graphing Techinques: Transformations
286(13)
Operations on Functions; Composite Functions
299(10)
Mathematical Models: Constructing Functions
309(14)
Chapter Review
317(3)
Chapter Projects
320(1)
Cumulative Review
321(2)
Polynomial and Rational Functions
323(56)
Power Functions and Models
324(6)
Polynomial Functions and Models
330(13)
Rational Functions I
343(12)
Rational Functions II: Analyzing Graphs
355(10)
Polynomial and Rational Inequalities
365(14)
Chapter Review
373(3)
Chapter Projects
376(1)
Cumulative Review
377(2)
The Zeros of a Polynomial Function
379(38)
Synthetic Division
380(4)
The Real Zeros of a Polynomial Function
384(14)
Complex Numbers; Quadratic Equations with a Negative Discriminant
398(9)
Complex Zeros; Fundamental Theorem of Algebra
407(10)
Chapter Review
412(2)
Chapter Projects
414(2)
Cumulative Review
416(1)
Exponential and Logarithmic Functions
417(94)
One-to-One Functions: Inverse Functions
418(13)
Exponential Functions
431(14)
Logarithmic Functions
445(12)
Properties of Logarithms
457(10)
Logarithmic and Exponential Equations
467(4)
Compound Interest
471(11)
Growth and Decay
482(11)
Exponential, Logarithmic, and Logistic Models
493(18)
Chapter Review
502(6)
Chapter Projects
508(2)
Cumulative Review
510(1)
Systems of Equations And Inequalities
511(98)
Systems of Linear Equations: Two Equations Containing Two Variables
512(11)
Systems of Linear Equations: Three Equations Containing Three Variables
523(6)
Systems of Linear Equations: Matrices
529(18)
Systems of Linear Equations: Determinants
547(12)
Matrix Algebra
559(18)
Systems of Linear Inequalities; Linear Programming
577(16)
Partial Fraction Decomposition
593(16)
Chapter Review
601(5)
Chapter Projects
606(1)
Cumulative Review
607(2)
Sequences; Induction; The Binomial Theorem
609(50)
Sequences
610(15)
Arithmetic Sequences
625(6)
Geometric Sequences; Geometric Series
631(11)
Mathematical Induction
642(4)
The Binomial Theorem
646(13)
Chapter Review
654(3)
Chapter Projects
657(1)
Cumulative Review
658(1)
Counting and Probability
659(42)
Sets and Counting
660(6)
Permutations and Combinations
666(11)
Probability of Equally Likely Outcomes
677(13)
Obtaining Probabilities from Data
690(11)
Chapter Review
695(4)
Chapter Projects
699(1)
Cumulative Review
700(1)
Conics
701(1)
Preliminaries
702(1)
The Parabola
703(12)
The Ellipse
715(12)
The Hyperbola
727(15)
Systems of Nonlinear Equations
742(11)
Chapter Review
753(3)
Chapter Projects
756(1)
Cumulative Review
757
Answers 1(1)
Index 1

Excerpts

As professors at both an urban public university and a community college, Michael Sullivan and Michael Sullivan, III are aware of the varied needs of College Algebra students, ranging from those who have little mathematical background and a fear of mathematics courses, to those having a strong mathematical education and a high level of motivation. For some of your students, this will be their last course in mathematics, while others will further their mathematical education. This text is written for both groups. As a teacher, and as an author of precalculus, engineering calculus, finite math, and business calculus texts, Michael understands what students must know if they are to be focused and successful in upper level math courses. However, as a father of four, including the coauthor, he also understands the realities of college life. His co-author and son, Michael Sullivan III, believes passionately in the value of technology as a tool for learning that enhances understanding without sacrificing important skills. Together, both authors have taken great pains to ensure that the text contains solid, student-friendly examples and problems, as well as a clear and seamless writing style. We encourage you to share with us your experiences teaching from this text. In the Third Edition The third edition builds upon a strong foundation by integrating new features and techniques that further enhance student interest and involvement. The elements of previous editions that have proved successful remain, while many changes, some obvious, others subtle, have been made. One important benefit of authoring a successful series is the broad-based feedback upon which improvements and additions are ultimately based. Virtually every change to this edition is the result of thoughtful comments and suggestions made by colleagues and students who have used previous editions. This feedback has proved invaluable and has been used to make changes that improve the flow, usability, and accessibility of the text. For example, some topics have been moved to better reflect the way teachers approach the course and problems have been added where more practice was needed. The supplements package has been enhanced through upgrading traditional supplements and adding innovative media components. Reorganized Content for College Algebra Appendix Review Now expanded, this material appears in the beginning of the book as Chapter R Chapter 1 Scatter diagrams now appear in Section 2.2 Linear Functions and Models Section 1.2 has been split into two sections. In 3/e Section 1.2 contains point plotting, graphing equations on a graphing utility, and intercepts. Section 3.1 covers symmetry and graphing key equations. This adheres to the "just in time approach" by placing symmetry and key equations closer to functions. Section 1.3 from 2/e has been split into two sections--1.3 and 1.5. Section 1.5 has been expanded to include quadratic-in-form equations. Chapter 2 Section 2.2 now includes the discussion on scatter diagrams. Quadratic equations now appears earlier as part of Section 1.3. Chapter 3 Section 3.1 contains the discussion on symmetry and graphing key equations. Section 3.1 from 2/e is now two sections: Section 3.2 covers properties of functions, while Section 3.3 covers the library of functions and piecewise-defined functions. Chapter 4 This chapter contains Sections 4.1, 4.2, 4.7 and 4.8 from 2/e. The section on rational functions has been split into two sections to accommodate a single lecture for each section. Chapter 5 This chapter contains the remaining sections of Chapter 4 from 2/e. Chapter 6 (Formerly Chapter 5) Section 6.2 now includes a discussion of basic exponential equat


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