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by Ron Larson, Robert P. Hostetler and Bruce H. Edwards

Edition: 4TH 05Copyright: 2005

Publisher: Houghton Mifflin Harcourt

Published: 2005

International: No

Ron Larson, Robert P. Hostetler and Bruce H. Edwards

Edition: 4TH 05
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As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, College Algebra: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for algebra courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.

**Larson, Ron : The Pennsylvania State University, The Behrend College **

Hostetler, Robert P. : The Pennsylvania State University, The Behrend College

Edwards, Bruce H. : University of Florida

Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test.

P. Prerequisites

P.1 Real Numbers

P.2 Exponents and Radicals

P.3 Polynomials and Factoring

P.4 Rational Expressions

P.5 The Cartesian Plane

P.6 Exploring Data: Representing Data Graphically

1. Functions and Their Graphs

Introduction to Library of Functions

1.1 Graphs of Equations

1.2 Lines in the Plane

1.3 Functions

1.4 Graphs of Functions

1.5 Shifting, Reflecting, and Stretching Graphs

1.6 Combinations of Functions

1.7 Inverse Functions

2. Solving Equations and Inequalities

2.1 Linear Equations and Problem Solving

2.2 Solving Equations Graphically

2.3 Complex Numbers

2.4 Solving Equations Algebraically

2.5 Solving Inequalities Algebraically and Graphically

2.6 Exploring Data: Linear Models and Scatter Plots

Cumulative Test: Chapters P-2

3. Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions of Higher Degree

3.3 Real Zeros of Polynomial Functions

3.4 The Fundamental Theorem of Algebra

3.5 Rational Functions and Asymptotes

3.6 Graphs of Rational Functions

3.7 Exploring Data: Quadratic Models

4. Exponential and Logarithmic Functions

4.1 Exponential Functions and Their Graphs

4.2 Logarithmic Functions and Their Graphs

4.3 Properties of Logarithms

4.4 Solving Exponential and Logarithmic Equations

4.5 Exponential and Logarithmic Models

4.6 Exploring Data: Nonlinear Models

5. Linear Systems and Matrices

5.1 Solving Systems of Equations

5.2 Systems of Linear Equations in Two Variables

5.3 Multivariable Linear Systems

5.4 Matrices and Systems of Equations

5.5 Operations with Matrices

5.6 The Inverse of a Square Matrix

5.7 The Determinant of a Square Matrix

5.8 Applications of Matrices and Determinants

Cumulative Test: Chapters 3-5

6. Sequences, Series, and Probability

6.1 Sequences and Series

6.2 Arithmetic Sequences and Partial Sums

6.3 Geometric Sequences and Series

6.4 Mathematical Induction

6.5 The Binomial Theorem

6.6 Counting Principles

6.7 Probability

7. Conics and Parametric Equations

7.1 Conics

7.2 Translations of Conics

7.3 Parametric Equations

Cumulative Test: Chapters 6-7

Appendix A. Technology Support

Appendix B. Proofs of Selected Theorems

Appendix C. Concepts in Statistics

C.1 Measures of Central Tendency and Dispersion

C.2 Least Squares Regression

Appendix D. Solving Linear Equations and Inequalities

Appendix E. Systems of Inequalities

E.1 Solving Systems of Inequalities

E.2 Linear Programming

Summary

As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, College Algebra: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for algebra courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.

Author Bio

**Larson, Ron : The Pennsylvania State University, The Behrend College **

Hostetler, Robert P. : The Pennsylvania State University, The Behrend College

Edwards, Bruce H. : University of Florida

Table of Contents

Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test.

P. Prerequisites

P.1 Real Numbers

P.2 Exponents and Radicals

P.3 Polynomials and Factoring

P.4 Rational Expressions

P.5 The Cartesian Plane

P.6 Exploring Data: Representing Data Graphically

1. Functions and Their Graphs

Introduction to Library of Functions

1.1 Graphs of Equations

1.2 Lines in the Plane

1.3 Functions

1.4 Graphs of Functions

1.5 Shifting, Reflecting, and Stretching Graphs

1.6 Combinations of Functions

1.7 Inverse Functions

2. Solving Equations and Inequalities

2.1 Linear Equations and Problem Solving

2.2 Solving Equations Graphically

2.3 Complex Numbers

2.4 Solving Equations Algebraically

2.5 Solving Inequalities Algebraically and Graphically

2.6 Exploring Data: Linear Models and Scatter Plots

Cumulative Test: Chapters P-2

3. Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions of Higher Degree

3.3 Real Zeros of Polynomial Functions

3.4 The Fundamental Theorem of Algebra

3.5 Rational Functions and Asymptotes

3.6 Graphs of Rational Functions

3.7 Exploring Data: Quadratic Models

4. Exponential and Logarithmic Functions

4.1 Exponential Functions and Their Graphs

4.2 Logarithmic Functions and Their Graphs

4.3 Properties of Logarithms

4.4 Solving Exponential and Logarithmic Equations

4.5 Exponential and Logarithmic Models

4.6 Exploring Data: Nonlinear Models

5. Linear Systems and Matrices

5.1 Solving Systems of Equations

5.2 Systems of Linear Equations in Two Variables

5.3 Multivariable Linear Systems

5.4 Matrices and Systems of Equations

5.5 Operations with Matrices

5.6 The Inverse of a Square Matrix

5.7 The Determinant of a Square Matrix

5.8 Applications of Matrices and Determinants

Cumulative Test: Chapters 3-5

6. Sequences, Series, and Probability

6.1 Sequences and Series

6.2 Arithmetic Sequences and Partial Sums

6.3 Geometric Sequences and Series

6.4 Mathematical Induction

6.5 The Binomial Theorem

6.6 Counting Principles

6.7 Probability

7. Conics and Parametric Equations

7.1 Conics

7.2 Translations of Conics

7.3 Parametric Equations

Cumulative Test: Chapters 6-7

Appendix A. Technology Support

Appendix B. Proofs of Selected Theorems

Appendix C. Concepts in Statistics

C.1 Measures of Central Tendency and Dispersion

C.2 Least Squares Regression

Appendix D. Solving Linear Equations and Inequalities

Appendix E. Systems of Inequalities

E.1 Solving Systems of Inequalities

E.2 Linear Programming

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2005

International: No

Published: 2005

International: No

**Larson, Ron : The Pennsylvania State University, The Behrend College **

Hostetler, Robert P. : The Pennsylvania State University, The Behrend College

Edwards, Bruce H. : University of Florida

Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test.

P. Prerequisites

P.1 Real Numbers

P.2 Exponents and Radicals

P.3 Polynomials and Factoring

P.4 Rational Expressions

P.5 The Cartesian Plane

P.6 Exploring Data: Representing Data Graphically

1. Functions and Their Graphs

Introduction to Library of Functions

1.1 Graphs of Equations

1.2 Lines in the Plane

1.3 Functions

1.4 Graphs of Functions

1.5 Shifting, Reflecting, and Stretching Graphs

1.6 Combinations of Functions

1.7 Inverse Functions

2. Solving Equations and Inequalities

2.1 Linear Equations and Problem Solving

2.2 Solving Equations Graphically

2.3 Complex Numbers

2.4 Solving Equations Algebraically

2.5 Solving Inequalities Algebraically and Graphically

2.6 Exploring Data: Linear Models and Scatter Plots

Cumulative Test: Chapters P-2

3. Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions of Higher Degree

3.3 Real Zeros of Polynomial Functions

3.4 The Fundamental Theorem of Algebra

3.5 Rational Functions and Asymptotes

3.6 Graphs of Rational Functions

3.7 Exploring Data: Quadratic Models

4. Exponential and Logarithmic Functions

4.1 Exponential Functions and Their Graphs

4.2 Logarithmic Functions and Their Graphs

4.3 Properties of Logarithms

4.4 Solving Exponential and Logarithmic Equations

4.5 Exponential and Logarithmic Models

4.6 Exploring Data: Nonlinear Models

5. Linear Systems and Matrices

5.1 Solving Systems of Equations

5.2 Systems of Linear Equations in Two Variables

5.3 Multivariable Linear Systems

5.4 Matrices and Systems of Equations

5.5 Operations with Matrices

5.6 The Inverse of a Square Matrix

5.7 The Determinant of a Square Matrix

5.8 Applications of Matrices and Determinants

Cumulative Test: Chapters 3-5

6. Sequences, Series, and Probability

6.1 Sequences and Series

6.2 Arithmetic Sequences and Partial Sums

6.3 Geometric Sequences and Series

6.4 Mathematical Induction

6.5 The Binomial Theorem

6.6 Counting Principles

6.7 Probability

7. Conics and Parametric Equations

7.1 Conics

7.2 Translations of Conics

7.3 Parametric Equations

Cumulative Test: Chapters 6-7

Appendix A. Technology Support

Appendix B. Proofs of Selected Theorems

Appendix C. Concepts in Statistics

C.1 Measures of Central Tendency and Dispersion

C.2 Least Squares Regression

Appendix D. Solving Linear Equations and Inequalities

Appendix E. Systems of Inequalities

E.1 Solving Systems of Inequalities

E.2 Linear Programming