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College Algebra Enhanced with Graphing Utilities, 5/E
Michael Sullivan
Michael Sullivan,III

ISBN-10: 0136004911
ISBN-13:  9780136004912

Publisher:  Pearson
Copyright:  2009
Format:  Cloth; 864 pp
Published:  12/28/2007
Status: Instock


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Description

These authors understand what it takes to be successful in mathematics, the skills that students bring to this course, and the way that technology can be used to enhance learning without sacrificing math skills. As a result, they have created a textbook with an overall learning system involving preparation, practice, and review to help students get the most out of the time they put into studying. In sum, Sullivan and Sullivan's College Algebra: Enhanced with Graphing Utilities gives students a model for success in mathematics.


Features

Below is a list of just some of the key features for this text. For a more complete list, consult the inside front cover of the text.

 

Prepare for Class

  • Preparing for This Section  Sections begin with a list of key concepts to review, with page number references. This feature highlights previously learned material to be used in this section. Review it, and you'll always be prepared for quizzes and tests.
  • "Now Work" Problems  follow most examples, and direct you to a related exercise. Since we learn best by doing, you'll solidify your understanding of examples if you try a similar problem right away, before you forget what you've learned.
  • NEW! Showcase Examples provide "how-to" instruction by offering a guided, step-by-step approach to solving a problem. With each step presented on the left and the mathematics displayed on the right, students can immediately see how each of the steps is employed. 
  • NEW! Model It Problems and Examples require you to build a mathematical model from either a verbal description or data. These problems will allow you to describe the problem mathematically and suggest a solution to the problem.

Practice

  •  'Are You Prepared?' Problems Special problems that support the Preparing for This Section feature appear at the start of each exercise set. Work the 'Are You Prepared?' Problems and if you get one wrong, you'll know exactly what you need to review and where to review it.
  • Concepts and Vocabulary These Fill-in the-Blank and True/False items assess your understanding of key definitions and concepts. These problems help you understand the 'big ideas' before diving into skill building.
  • Skill Development  Correlated to section examples, these problems provide straightforward practice, organized by difficulty. These problems provide you with ample practice to develop your problem-solving skills.
  • Mixed Practice  These problems offer comprehensive assessment of the skills learned in the section by asking questions that relate to more than one concept or objective. These problems may also require you to utilize skills learned in previous sections, helping you to see how concepts are tied together.
  • Applications and Extensions  Math is everywhere, and these problems demonstrate that. You'll learn to approach real problems, and how to break them down into manageable parts. These can be challenging, but are worth the effort.
  • Discussion and Writing These problems, marked by a special icon and red numbers, support class discussion, verbalization of mathematical ideas, and writing projects. 

 Review

  • "You Should be Able To..." Contains a complete list of objectives by section, with corresponding practice exercises. Do the recommended exercises and you'll have mastery over the key material. If you get something wrong, go review the suggested page numbers and try again.
  • Chapter Test  These are about 15-20 problems that can be taken as a Chapter Test. Take the sample practice test and it will get you ready for your instructor's tests. If the student gets a problem wrong, they can watch the Chapter Test Prep Video CD found in the back of the book.


New To This Edition

New Content

Section R.3, Geometry Essentials, now contains a discussion of congruent and similar triangles.

Chapter 4 Linear and Quadratic Functions New to this edition, this chapter gives more emphasis to linear and quadratic functions. The discussions allow for a fuller explanation of linear and quadratic functions, their properties, models involving the functions, and building models from verbal descriptions and data. A full section on quadratic inequalities is also provided with both graphical and algebraic analysis of the inequality.

Examples and exercises that involve a more in-depth analysis of graphing and exponential and logarithmic functions are provided.

 

Organizational Changes

• Chapter 1 introduces graphing and the graphing calculator along with solving equations in one variable.

Chapter 2 expands on the discussion of graphs in two variables and introduces lines and circles. Plus, Section 2.4 presents a complete discussion of variation.

Chapter 4 consolidates the discussion on linear and quadratic functions.

Chapter 8 discusses systems of equations and inequalities. This chapter includes both linear and nonlinear systems.

 

New Features

Showcase Examples are used to present examples in a guided, step-by-step format. Students can immediately see how each of the steps in a problem is employed. The “How To” examples have a two-column format in which the left column describes the step in solving the problem and the right column displays the algebra complete with annotations.

Model It examples and exercises are clearly marked with an icon. These examples and exercises develop the student’s ability to build models from both verbal descriptions and data. Many of the problems involving data require the students to first determine the appropriate model (linear, quadratic, and so on) then fit it to the data and justify their choice.

Exercise Sets at the end of each section have been classified according to purpose. Where appropriate, more problems to challenge the better student have been added. In addition, Mixed Practice exercises have been added where appropriate so that students may synthesize skills from a variety of sections.

Applied Problems have been updated and many new problems involving sourced information as well as data sets have been added to bring relevance and timeliness to these exercises.

 


Table of Contents

Chapter R            Review

R.1 Real Numbers

R.2 Algebra Essentials

R.3 Geometry Essentials

R.4 Polynomials

R.5 Factoring Polynomials

R.6 Synthetic Division

R.7 Rational Expressions

R.8 nth Roots; Rational Exponents

 

Chapter 1            Graphs, Equations, and Inequalities

1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

1.2 Solving Equations Using Graphing Utility; Linear and Rational Equations

1.3 Quadratic Equations

1.4 Complex Numbers; Quadratic Equations in the Complex Number System

1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations

1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs

1.7 Solving Inequalities

 

Chapter 2            Graphs

2.1 Intercepts and Symmetry; Graphing Key Equations

2.2 Lines

2.3 Circles

2.4 Variation

 

Chapter 3        Functions and Graphs

3.1 Functions

3.2 The Graph of a Function

3.3 Properties of Functions

3.4 Library of Functions; Piecewise-Defined Functions

3.5 Graphing Techniques: Transformations

3.6 Mathematical Models: Building Functions

 

Chapter 4        Linear and Quadratic Functions

4.1 Linear Functions,Their Properties, and Linear Models

4.2 Building Linear Models from Data

4.3 Quadratic Functions and Their Properties

4.4 Building Quadratic Models from Verbal Descriptions and from Data

4.5 Inequalities Involving Quadratic Functions

 

Chapter 5            Polynomial and Rational Functions

5.1 Polynomial Functions and Models

5.2 Properties of Rational Functions

5.3 The Graph of a Rational Function

5.4 Polynomial and Rational Inequalities

5.5 The Real Zeros of a Polynomial Function

5.6 Complex Zeros: Fundamental Theorem of Algebra

 

Chapter 6            Exponential and Logarithmic Functions

6.1 Composite Functions

6.2 One-to-One Functions; Inverse Functions

6.3 Exponential Functions

6.4 Logarithmic Functions

6.5 Properties of Logarithms

6.6 Logarithmic and Exponential Equations

6.7 Financial Models

6.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay

6.9 Building Exponential, Logarithmic, and Logistic Models from Data

 

Chapter 7            Analytic Geometry

7.1 Conics

7.2 The Parabola

7.3 The Ellipse

7.4 The Hyperbola

 

Chapter 8            Systems of Equations and Inequalities

8.1 Systems of Linear Equations: Substitution and Elimination

8.2 Systems of Linear Equations: Matrices

8.3 Systems of Linear Equations: Determinants

8.4 Matrix Algebra

8.5 Partial Fraction Decomposition

8.6 Systems of Nonlinear Equations

8.7 Systems of Inequalities

8.8 Linear Programming

 

Chapter 9            Sequences; Induction; The Binomial Theorem

9.1 Sequences

9.2 Arithmetic Sequences

9.3 Geometric Sequences; Geometric Series

9.4 Mathematical Induction

9.5 The Binomial Theorem

 

Chapter 10            Counting and Probability

10.1 Counting

10.2 Permutations and Combinations

10.3 Probability

 

Answers

Index


Next Edition(s)

  • College Algebra Enhanced with Graphing Utilities, 6/E
    Sullivan & Sullivan
    ©2013  |  Pearson  |  Cloth; 816 pp  |  Instock
    ISBN-10: 0321795644  |  ISBN-13: 9780321795649
    Brief Description  |  More Info



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Author Bios

Mike Sullivan is a Professor of Mathematics at Chicago State University and received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years and has authored or co-authored over fifty books. Mike has four children, all of whom are involved with mathematics or publishing: Kathleen, who teaches college mathematics; Mike III, who co-authors this series and  teaches college mathematics; Dan, who is a Pearson Education sales representative; and Colleen, who teaches middle-school mathematics. When he's not writing, Mike enjoys gardening or spending time with his family, including nine grandchildren.  

 

Mike Sullivan III is a professor of mathematics at Joliet Junior College.  He holds graduate degrees from DePaul University in both mathematics and economics.  Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.

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Instructor's Solutions Manual for College Algebra Enhanced with Graphing Utilities, 5/E
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ISBN-10: 0136002005  |  ISBN-13: 9780136002000

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MyMathLab with eBook -- Instant Access -- for College Algebra: Enhanced with Graphing Utilities, 5/E
Sullivan, Sullivan, III & Mathematics
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ISBN-10: 0136001785  |  ISBN-13: 9780136001782
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Algebra Review, 2/E
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©2005  |  Pearson  |  Paper; 312 pp  |  Instock
ISBN-10: 0131480065  |  ISBN-13: 9780131480063
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CD Lecture Series for College Algebra: Enhanced with Graphing Utilities, 5/E
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ISBN-10: 0136002013  |  ISBN-13: 9780136002017
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MyMathLab with eBook -- Instant Access -- for College Algebra: Enhanced with Graphing Utilities, 5/E
Sullivan, Sullivan, III & Mathematics
©2009  |  On-line Supplement; 864 pp  |  Access Code Required  |  Live
ISBN-10: 0136001785  |  ISBN-13: 9780136001782
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