College Algebra Enhanced with Graphing Utilities, 5/E
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
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
Review
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
IndexNext Edition(s)
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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Sullivan, Sullivan, III & Mathematics
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Sullivan, Sullivan, III & Mathematics
©2009
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On-line Supplement; 864 pp
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Access Code Required
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ISBN-10: 0136001785 |
ISBN-13: 9780136001782
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