The Barnett Graphs & Models series in 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 process helps students develop a more thorough understanding of concepts and processes. A hallmark of the Barnett series, the concept serves as a unifying theme.

A major objective of this 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 and Models
Complex Numbers
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 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 REVIEW
Appendix B REVIEW OF EQUATIONS AND GRAPHING
Appendix C SPECIAL TOPICS

Title: College Algebra Graphs & Models
Author: Raymond A. Barnett / David Sobecki/ Karl Byleen/ Michael Ziegler
Edition: 3rd Edition
ISBN: 0077221281 | 9780077221287
Type: eBook
Language: English
Algebra
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