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.

**CHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS**

Using Graphing Utilities

Functions

Functions: Graphs and Properties

Functions: Graphs and Transformations

Operations on Functions; Composition

Inverse Functions

Review

Group Activity: Mathematical Modeling’Choosing a Long Distance Calling Plan

**CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS**

Linear Functions

Linear Equations and Models

Quadratic Functions

Complex Numbers

Quadratic Equations and Models

Additional Equation Solving Techniques

Solving Inequalities

Review

Group Activity: Mathematical Modeling in Population Studies

Cumulative Review Exercise for Chapters 1 and 2

**CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS **

Polynomial Functions And Models

Polynomial Division

Real Zeros and Polynomial Inequalities

Complex Zeros and Rational Zeros of Polynomials

Rational Functions and Inequalities

Variation and Modeling

Review

Group Activity: Interpolating Polynomials

**CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS **

Exponential Functions

Exponential Models

Logarithmic Functions

Logarithmic Models

Exponential and Logarithmic Equations

Review

Group Activity: Comparing Regression Models

Cumulative Review Exercise for Chapters 3 and 4

**CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES**

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Systems of Linear Inequalities

Linear Programming

Review

Group Activity: Modeling with Systems of Equations

**CHAPTER 6 MATRICES AND DETERMINANTS **

Matrix Solutions to Linear Systems

Matrix Operations

Inverse of a Square Matrix

Matrix Equations and Systems of Linear Equations

Determinants

Properties of Determinants

Determinants and Cramer’s Rule

Review

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

Cumulative Review Exercise for Chapters 5 and 6

**CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY **

Sequences and Series

Mathematical Induction

Arithmetic and Geometric Sequences

Multiplication Principle, Permutations, and Combinations Sample Spaces and Probability

Binomial Formula

Review

Group Activity: Sequences Specified by Recursion Formulas

**CHAPTER 8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY **

Conic Sections; Parabola

Ellipse

Hyperbola

Systems of Nonlinear Equations

Review

Group Activity: Focal Chords

Cumulative Review Exercise for Chapters 7 and 8

Appendix A BASIC ALGEBRA REVIEW

Appendix B REVIEW OF EQUATIONS AND GRAPHING

Appendix C SPECIAL TOPICS

Raymond A. Barnett / David Sobecki/ Karl Byleen/ Michael Ziegler

3rd Edition

0077221281 | 9780077221287

eBook

English

REVIEW