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College Algebra Enhanced with Graphing Utilities, 4/E
ISBN-10: 0131491040
ISBN-13: 9780131491045
Publisher: Pearson
Copyright: 2006
Format: Cloth; 840 pp
Published: 01/11/2005
This product accompanies:
Sullivan, Sullivan & III,
College Algebra Enhanced with Graphing Utilities, 5/E
Prepare for Class
Every chapter begins with...
Each chapter begins with a current article and ends with a related project. The Article poses a real problem. The Project lets you apply what you learned to solve that problem.
Every section begins with...
Sections begin with a list of key concepts to review, with page numbers.
Ever forget what you've learned? This feature highlights previously learned material to be used in this section. Review it, and you'll always be prepared for quizzes and tests.
Special problems that support the Preparing for This Section feature.
Not sure you need the Preparing for This Section review? Work the 'Are You Prepared?' Problems. If you get one wrong, you'll know exactly what you need to review and where to review it!
Each section begins with a list of objectives. Objective numbers appear in the margin where the objective is covered.
These focus your studying by emphasizing what's most important and where to find it.
Most sections contain...
These appear next to information essential for the study of calculus.
Pay attention – if you spend extra time now, you'll do better later!
These follow most examples, and direct you to a related exercise.
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.
Warnings are provided in the text. These point out common mistakes and help you avoid them.
These optional features suggest graphing utility activities.
You will obtain a deeper and more intuitive understanding of theorems and definitions.
These provide alternative descriptions of select definitions and theorems.
Does math ever look foreign to you? This feature translates math into plain English.
Examples contain detailed intermediate steps. Many include additional annotations.
Work the examples on your own, uncovering the solution line-by-line as you go. Each line will verify your work, or stimulate your thinking. For additional help, consult the blue annotations.
Practice
"Assess Your Understanding" sections (end-of-section exercises) contain a variety of problems...
These assess your retention of the prerequisite material you'll need. Answers are given at the end of the section exercises. This feature is related to the Preparing for This Section feature.
Do you always remember what you've learned? Working these problems is the best way to find out. If you get one wrong, you'll know exactly what you need to review, and where to review it!
These Fill-in the-Blank and True/False items assess your understanding of key definitions and concepts.
Learning math is more than memorization – it's about discovering connections. These problems help you understand the 'big ideas' before diving into skill building.
Correlated to section examples, these problems provide straightforward practice, organized by difficulty.
It's important to dig in and develop your problem-solving skills. These problems provide you with ample practice to do so.
These problems utilize graphs in a variety of ways. You will supplement your analytical understanding with graphical understanding.
Many examples refer you to a related homework problem. These related problems are marked by a yellow pencil. If you get stuck while working problems, look for the closest Now Work problem and refer back to the related example to see if it helps.
Application problems ("word problems") follow basic skill development problems.
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.
These optional problems require the use of a graphing utility, and are marked by a special icon.
Your instructor will usually provide guidance on whether or not to do these problems. If so, these problems help to verify and visualize your analytical results.
"Discussion, Writing, and Research" problems are marked by a special icon and red numbers. These support class discussion, verbalization of mathematical ideas, and writing and research projects.
To verbalize an idea, or to describe it clearly in writing, shows real understanding. These problems nurture that understanding. They're challenging, but you'll get out what you put in.
Review
Chapter Reviews at the end of each chapter contain...
A detailed list of important theorems, formulas, identities, definitions, and functions from the chapter.
Study these ideas and you'll know the most important material in the book!
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.
These provide comprehensive review and practice of key skills, matched to the Learning Objectives for each section. Practice makes perfect. These problems combine exercises from all sections, giving you a comprehensive in one place.
The Review Exercises contain blue-numbered problems. Together, these blue-numbered problems constitute a Chapter Practice Test. Be prepared. Take the sample practice test. It'll get you ready for your instructor's tests.
The Chapter Project applies what you've learned in the chapter the chapter opener article. Additional projects are available on a website. The Project gives you an opportunity to apply what you've learned in the chapter to solve the problem posed in the opening article. If your instructor allows, these make excellent opportunities to work in a group, which is often the best way of learning math.
These problem sets appear at the end of Chapters 2-13. They combine problems from previous chapters, providing an ongoing cumulative review. These are really important. They will ensure that you are not forgetting anything as you go. These will go a long way toward keeping you constantly primed for quizzes and tests.
New Features:
Assess Your UnderstandingEvery section ends with Assess Your Understanding, in most sections a collection of three problems sets:
**‘Are You Prepared?’ These problems assess the preparedness of the student for the section by asking questions about material previously encountered in the course that will be used in the section. Answers are given at the end of the section Exercises.
**Concepts and Vocabulary These problems consist of a short list of Fill-in the-Blank and True/False items that assess the students’ comprehension of key definitions and concepts introduced in the section.
**Skill Building These problems are wide-ranging, from early confidence-building types, many of a visual character, to skill-building types, to applied types.
In Words
These boxes provide alternative verbal descriptions, in plain English, of selected definitions and theorems.
Chapter Test Prep Videos
At the end of every Chapter exists the Chapter Test which encompasses material covered from that chapter. All answers are provided in the answer section of the book, and the solutions are worked out, in video format, by an instructor and are provided in the Student Study Pack or MyMathLab.
Organizational Changes:
Synthetic Division has been moved from former Chapter 5 The Zeros of a Polynomial Function to Chapter R and combined with Polynomial Division in a single section..
**Integer Exponents and Square Roots now appear earlier in Chapter R in Section R.2; Radicals is now combined with Rational Exponents in Chapter R.
**Setting up Equations: Applications (former Section 1.2) now appears at the end of Chapter 1 as Section 1.7. Some of the easier applications are now in Section 1.1.
**Quadratic Equations in the Complex Number System has been moved from former Chapter 5 The Zeros of a Polynomial Function to Chapter 1, Section 1.3. This section remains optional allowing for either early or late coverage of complex numbers and quadratic equations with a negative discriminant.
** Circles now appears as a separate section in Chapter 2.
**Composite Functions, formerly in Chapter 3 Functions and Their Graphs now appears as Section 5.1 in Chapter 5 Exponential Functions and Logarithmic Functions.
**Former Chapter 4 Polynomial and Rational Functions and Chapter 5 The Zeros of a Polynomial Function have been combined in one chapter, Chapter 4 Polynomial and Rational Functions.
**Systems of Linear Equations: Two Equations Containing Two Variables and Systems of Linear Equations: Three Equations Containing Three Variables have been combined in one section as Systems Linear Equations: Substitution and Elimination.
Chapter R Review
R.1 Real Numbers
R.2 Algebra Review
R.3 Geometry Review
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 Solving 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
1.8 Lines
1.9 Circles
Chapter Review
Chapter Test
Chapter Project
Chapter 2 Functions and Their Graphs
2.1 Intercepts and Symmetry; Graphing Key Equations
2.2 Functions
2.3 The Graph of a Function
2.4 Properties of Functions
2.5 Linear Functions and Models
2.6 Library of Functions; Piecewise-Defined Functions
2.7 Graphing Techniques: Transformations
2.8 Mathematical Models: Constructing Functions
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 3 Polynomial and Rational Functions
3.1 Quadratic Functions and Models
3.2 Polynomial Functions and Models
3.3 Properties of Rational Functions
3.4 The Graph of a Rational Function; Inverse and Joint Variation
3.5 Polynomial and Rational Inequalities
3.6 The Real Zeros of a Polynomial Function
3.7 Complex Zeros: Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 4 Exponential and Logarithmic Functions
4.1 Composite Functions
4.2 One-to-One Functions; Inverse Functions
4.3 Exponential Functions
4.4 Logarithmic Functions
4.5 Properties of Logarithms
4.6 Logarithmic and Exponential Equations
4.7 Compound Interest
4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay
4.9 Building Exponential, Logarithmic, and Logistic Models from Data
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 5 Systems of Equations and Inequalities
5.1 Systems of Linear Equations: Substitution and Elimination
5.2 Systems of Linear Equations: Matrices
5.3 Systems of Linear Equations: Determinants
5.4 Matrix Algebra
5.5 Partial Fraction Decomposition
5.6 Systems of Linear Inequalities
5.7 Linear Programming
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 6 Analytic Geometry
6.1 Conics
6.2 The Parabola
6.3 The Ellipse
6.4 The Hyperbola
6.5 Systems of Nonlinear Equations and Inequalities
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 7 Sequences; Induction; The Binomial Theorem
7.1 Sequences
7.2 Arithmetic Sequences
7.3 Geometric Sequences; Geometric Series
7.4 Mathematical Induction
7.5 The Binomial Theorem
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 8 Counting and Probability
8.1 Sets and Counting
8.2 Permutations and Combinations
8.3 Probability
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Answers
Index

Mike Sullivan Professor of Mathematics at Chicago State University received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years. He is a native of Chicago’s South Side and currently resides in Oaklawn. Mike has four children. The two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. Mike III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Dan, the youngest, sells for Prentice Hall as a generalist.
Mike has authored or co-authored over ten books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oaklawn, where Mike enjoys gardening. Mike first signed this series with Deleen Publishing (Acquired by Macmillan) in 1985.
Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from Depot University in both mathematics and economics. Mike has co-authored both of the Sullivan graphing series and collaborated with his sister to author supplements for all of the Sullivan series. Mike has recently authored a brand new successful Statistics book for Prentice Hall Fundamentals of Statistics, 1/e 2005 and Statistics: Informed Decisions Using Data, 1/e, 2004. Mike is currently working on a developmental math series for Prentice Hall that will be published in 2007. Mike is the father of three children. He is an avid golfer and tries to spend as much of his limited free time as possible on the golf course.
Why We Wrote the Book:
Work on this series began with a unique perspective. Teaching at a large urban institution and a smaller two-year college has allowed us to see firsthand the challenges associated with teaching students with diverse backgrounds in an urban setting. Successful textbooks must be accessible to students. As lead author of this series, one of the most important things I bring to the project is my experience as author of a successful calculus text. Mike and I are both aware that students must be prepared in a Precalculus course for subsequent mathematics courses. We also realize that many College Algebra students will not be going on to take upper level math courses. In this series we resolved the seeming dilemma without sacrificing accessibility.
The books in this series are designed to be mathematically comprehensive and to provide substantial mathematical preparation for subsequent courses. At the same time, great effort has been expended to motivate the material and to make it accessible to even poorly prepared students.
My MathLab, 4/E
Sullivan III
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Chapter Projects - DOWNLOAD ONLY, 4/E
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ISBN-10: 0131876791 |
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ISBN-10: 0131543369 |
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Sullivan III
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ISBN-13: 9780131543386
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