College Algebra

by Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

• ISBN13: 9780073312620
• ISBN10: 0073312622
• Edition: 8th
• Format: Hardcover
• Copyright: 2007-01-19
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematically concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful.

Table of Contents

Chapter R: Basic Algebraic Operations

Algebra and Real Numbers

Exponents

Radicals

Polynomials: Basic Operations

Polynomials: Factoring

Rational Expressions: Basic Operations

Chapter R Review

Chapter R Group Activity: Rational Number Representations

Equations and Inequalities

Linear Equations and Applications

Linear Inequalities

Absolute Value

Complex Numbers

Quadratic Equations and Applications

Equations Involving Radicals

Chapter 1 Review

Chapter 1 Group Activity: Solving a Cubic Equation

Graphs

Cartesian Coordinate system

Distance in the Plane

Equations of a line

Linear Equations and Models

Chapter 2 Review

Chapter 2 Group Activity: Rates of Change

Functions

Functions

Graphing Functions

Transformations of Functions

Quadratic Functions

Combining Functions; Composition

Inverse Functions

Chapter 3 Review

Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan

Chapters 1-3 Cumulative Review Exercises

Polynomials and Rational Functions

Polynomial Functions and Models

Real Zeros and Polynomial Inequalities

Complex Zeros and Rational Zeros of Polynomials

Rational Functions and Inequalities

Variation and Modeling

Chapter 4 Review

Chapter 4 Group Activity: Interpolating Polynomials

Exponential and Logarithmic Functions

Exponential Functions

Exponential Models

Logarithmic Functions

Logarithmic Models

Exponential and Logarithmic Equations

Chapter 5 Review

Chapter 5 Group Activity: Growth of Increasing Functions

Chapters 4-5 Cumulative Review Exercises

Additional Topics in Analytic Geometry

Conic Sections; Parabolas

Ellipses

Hyperbolas

Chapter 6 Review

Chapter 6 Group Activity: Focal Chords

Systems of Equations and Inequalities; Matrices

Systems of Linear Equations: Graphing and Substitution

Systems of Linear Equations: Elimination

Systems of Linear Equations: Gauss-Jordan Elimination

Matrices: Basic Operations

Systems of Linear Equations: Matrix Inverse Methods

Systems of Nonlinear Equations

Systems of Linear Inequalities in Two Variables

Linear Programming

Chapter 7 Review

Chapter 7 Group Activity: Modeling With Systems of Linear Equations

Sequences and Series

Sequences and Series

Mathematical Induction

Arithmetic and Geometric Sequences

Counting Techniques: Multiplication Principle, Permutations, and Combinations

Sample Spaces and Probability

Binomial Formula Chapter 8 Review Chapter 8 Group Activity: Sequences Specified by Recursion Formulas Chapters 6-8 Cumulative Review Exercises

Special Topics

Scientific Notation and Significant Digits

Partial Fractions

Parametric Equations

Geometric Formulas

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