• Sign In
  • My Cart 0)
main product photo

College Algebra: Graphs and Models

3rd Edition
0077221281 · 9780077221287
The Barnett Graphs & Models series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples … Read More
Add to Wish List
Currently without stock
£210.60
Request Review Access
Request More Info

Receive via shipping:

  • Colour, print bound version of the complete text

CHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS

1-1 Using Graphing Utilities

1-2 Functions

1-3 Functions: Graphs and Properties

1-4 Functions: Graphs and Transformations

1-5 Operations on Functions; Composition

1-6 Inverse Functions

Chapter 1 Review

Chapter 1 Group Activity: Mathematical Modeling–Choosing a Long Distance Calling Plan

CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS

2-1 Linear Functions

2-2 Linear Equations and Models

2-3 Quadratic Functions

2-4 Complex Numbers

2-5 Quadratic Equations and Models

2-6 Additional Equation Solving Techniques

2-7 Solving Inequalities

Chapter 2 Review

Chapter 2 Group Activity: Mathematical Modeling in Population Studies

Cumulative Review Exercise for Chapters 1 and 2

CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS

3-1 Polynomial Functions And Models

3-2 Polynomial Division

3-3 Real Zeros and Polynomial Inequalities

3-4 Complex Zeros and Rational Zeros of Polynomials

3-5 Rational Functions and Inequalities

3-6 Variation and Modeling

Chapter 3 Review

Chapter 3 Group Activity: Interpolating Polynomials

CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS

4-1 Exponential Functions

4-2 Exponential Models

4-3 Logarithmic Functions

4-4 Logarithmic Models

4-5 Exponential and Logarithmic Equations

Chapter 4 Review

Chapter 4 Group Activity: Comparing Regression Models

Cumulative Review Exercise for Chapters 3 and 4

CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES

5-1 Systems of Linear Equations in Two Variables

5-2 Systems of Linear Equations in Three Variables

5-3 Systems of Linear Inequalities

5-4 Linear Programming

Chapter 5 Review

Chapter 5 Group Activity: Modeling with Systems of Equations

CHAPTER 6 MATRICES AND DETERMINANTS

6-1 Matrix Solutions to Linear Systems

6-2 Matrix Operations

6-3 Inverse of a Square Matrix

6-4 Matrix Equations and Systems of Linear Equations

6-5 Determinants

6-6 Properties of Determinants

6-7 Determinants and Cramer's Rule

Chapter 6 Review

Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profit

Cumulative Review Exercise for Chapters 5 and 6

CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY

7-1 Sequences and Series

7-2 Mathematical Induction

7-3 Arithmetic and Geometric Sequences

7-4 Multiplication Principle, Permutations, and Combinations

7-5 Sample Spaces and Probability

7-6 Binomial Formula

Chapter 7 Review

Chapter 7 Group Activity: Sequences Specified by Recursion Formulas

8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY

8-1 Conic Sections; Parabola

8-2 Ellipse

8-3 Hyperbola

8-4 Systems of Nonlinear Equations

Chapter 8 Review

Chapter 8 Group Activity: Focal Chords

Cumulative Review Exercise for Chapters 7 and 8

Appendix A BASIC ALGEBRA REVIEW

A-1 Algebra and Real Numbers

A-2 Exponents

A-3 Radicals

A-4 Polynomials: Basic Operations

A-5 Polynomials: Factoring

A-6 Rational Expressions: Basic Operations

Appendix A Review

Appendix A Group Activity: Rational Number Representations

Appendix B REVIEW OF EQUATIONS AND GRAPHING

B-1 Linear Equations and Inequalities

B-2 Cartesian Coordinate System

B-3 Basic Formulas in Analytic Geometry

Appendix C SPECIAL TOPICS

C-1 Significant Digits

C-2 Partial Fractions

C-3 Descartes' Rule of Signs

C-4 Parametric Equations

Appendix D GEOMETRIC FORMULAS

The Barnett Graphs & Models series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes.

A hallmark of the Barnett series, the function concept serves as a unifying theme. A major objective of this book is to develop a library of elementary functions, including their important properties and uses. Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem. Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful.

The narrative has been extensively reworked in order to make the language less formal and more engaging for students.
A new interior design offers a cleaner presentation of concepts and pedagogy.
More examples featuring side-by-side algebraic and graphical solutions have been added to better integrate solution methods.
Annotated steps, in small colored type, are used more frequently to walk students through each critical step in the problem-solving process.
Expanded exercise sets provide additional practice, especially at the easy to moderate levels.
An Annotated Instructors Edition is now available for instructors and provides answers to each problem in the exercise set on the same page as the problem appears.
MATHZONE McGraw-Hills MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to www.mathzone.com to learn more.
Examples and Matched Problems introduce concepts and demonstrate problem-solving techniques using side-by-side algebraic and graphical solution methods. Each carefully solved example is followed by a similar Matched Problem for the student to work through while reading the material. Answers to the matched problems are located at the end of each section, for easy reference
Graphing Calculator Technology is integrated throughout the text for visualization, investigation, and verification. Although technology is employed throughout, the authors strive to balance algebraic skill development with the use of technology as an aid to learning and problem solving.
Balanced Exercise Sets are constructed so that an average or below-average student will experience success and a very capable student will be challenged. Exercise sets proceed gradually from routine, easy exercises on procedures; through more difficult, but still essential, procedural exercises, to difficult exercises that require combining multiple procedures and/or deeper theoretical understanding.
Annotated Steps of examples and developments are found throughout the text to help students through the critical stages of problem-solving. Think Boxes (color dashed boxes) are used to enclose steps that, with some experience, many students will be able to perform mentally.
Applications throughout the 3rd edition give the student substantial experience in modeling and solving real-world problems, fulfilling a primary objective of the text. Over 500 application exercises help convince even the most skeptical student that mathematics is relevant to everyday life.

Supporting Websites