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by Raymond Barnett, Michael Ziegler and Karl Byleen

Edition: 05Copyright: 2005

Publisher: McGraw-Hill Publishing Company

Published: 2005

International: No

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**New Features**

- Data Analysis and Problem Solving: A renewed and expanded emphasis on analyzing authentic data through regression aids the emphasis on matheamtical modeling.
- Functions: A Unified Strand The text ties together functions and modeling by introducing this connection in Chapter 1 and integrating it forward. This promotes the development of a library of functions and a toolkit for learning algebra and foreshadows the concepts of calculus.

**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

**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

**3 Polynomial and Rational Functions**

3.1 Polynomial Functions and Models

3.2 Real Zeros and Polynomial Inequalities

3.3 Complex Zeros and Rational Zeros of Polynomials

3.4 Rational Functions and Inequalities

**4 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

**5 Trigonometric Functions**

5.1 Angles and Their Measure

5.2 Right Triangle Trigonometry

5.3 Trigonometric Functions: A Unit Circle Approach

5.4 Properties of Trigonometric Functions

5.5 More General Trigonometric Functions and Models

5.6 Inverse Trigonometric Functions

**6 Trigonometric Identities and Conditional Equations**

6.1 Basic Identities and Their Use

6.2 Sum, Difference, and Cofunction Identities

6.3 Double-Angle and Half-Angle Identities

6.4 Product-Sum and Sum-Product Identities

6.5 Trigonometric Equations

**7 Additional Topics in Trigonometry**

7.1 Law of Sines

7.2 Law of Cosines

7.3 Geometric Vectors

7.4 Algebraic Vectors

7.5 Polar Coordinates and Graphs

7.6 Complex Numbers in Rectangular and Polar Forms

7.7 De Moivres Theorem

**8 Modeling with Linear Systems**

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations and Augmented Matrices

8.3 Gauss-Jordan Elimination

8.4 Systems of Linear Inequalities

8.5 Linear Programming

**9 Matrices and Determinants**

9.1 Matrix Operations

9.2 Inverse of a Square Matrix

9.3 Matrix Equations and Systems of Linear Equations

9.4 Determinants

9.5 Properties of Determinants

9.6 Determinants and Cramers Rule

**10 Sequences, Induction, and Probability**

10.1 Sequences and Series

10.2 Mathematical Induction

10.3 Arithmetic and Geometric Sequences

10.4 Multiplication Principle, Permutations, and Combinations

10.5 Sample Spaces and Probability

10.6 Binomial Formula

**11 Additional Topics in Analytic Geometry**

11.1 Conic Sections; Parabola

11.2 Ellipse

11.3 Hyperbola

11.4 Translation of Axes

11.5 Rotation of Axes

11.6 Nonlinear Systems

**Appendix A Review of Equations and Graphing**

A.1 Linear Equations and Inequalities

A.2 Cartesian Coordinate System

A.3 Basic Formulas in Analytic Geometry

**Appendix B Special Topics**

B.1 Significant Digits

B.2 Partial Fractions

B.3 Descartes Rule of Signs

B.4 Parametric Equations

**Appendix C Geometric Formulas**

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Summary

**New Features**

- Data Analysis and Problem Solving: A renewed and expanded emphasis on analyzing authentic data through regression aids the emphasis on matheamtical modeling.
- Functions: A Unified Strand The text ties together functions and modeling by introducing this connection in Chapter 1 and integrating it forward. This promotes the development of a library of functions and a toolkit for learning algebra and foreshadows the concepts of calculus.

Table of Contents

**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

**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

**3 Polynomial and Rational Functions**

3.1 Polynomial Functions and Models

3.2 Real Zeros and Polynomial Inequalities

3.3 Complex Zeros and Rational Zeros of Polynomials

3.4 Rational Functions and Inequalities

**4 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

**5 Trigonometric Functions**

5.1 Angles and Their Measure

5.2 Right Triangle Trigonometry

5.3 Trigonometric Functions: A Unit Circle Approach

5.4 Properties of Trigonometric Functions

5.5 More General Trigonometric Functions and Models

5.6 Inverse Trigonometric Functions

**6 Trigonometric Identities and Conditional Equations**

6.1 Basic Identities and Their Use

6.2 Sum, Difference, and Cofunction Identities

6.3 Double-Angle and Half-Angle Identities

6.4 Product-Sum and Sum-Product Identities

6.5 Trigonometric Equations

**7 Additional Topics in Trigonometry**

7.1 Law of Sines

7.2 Law of Cosines

7.3 Geometric Vectors

7.4 Algebraic Vectors

7.5 Polar Coordinates and Graphs

7.6 Complex Numbers in Rectangular and Polar Forms

7.7 De Moivres Theorem

**8 Modeling with Linear Systems**

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations and Augmented Matrices

8.3 Gauss-Jordan Elimination

8.4 Systems of Linear Inequalities

8.5 Linear Programming

**9 Matrices and Determinants**

9.1 Matrix Operations

9.2 Inverse of a Square Matrix

9.3 Matrix Equations and Systems of Linear Equations

9.4 Determinants

9.5 Properties of Determinants

9.6 Determinants and Cramers Rule

**10 Sequences, Induction, and Probability**

10.1 Sequences and Series

10.2 Mathematical Induction

10.3 Arithmetic and Geometric Sequences

10.4 Multiplication Principle, Permutations, and Combinations

10.5 Sample Spaces and Probability

10.6 Binomial Formula

**11 Additional Topics in Analytic Geometry**

11.1 Conic Sections; Parabola

11.2 Ellipse

11.3 Hyperbola

11.4 Translation of Axes

11.5 Rotation of Axes

11.6 Nonlinear Systems

**Appendix A Review of Equations and Graphing**

A.1 Linear Equations and Inequalities

A.2 Cartesian Coordinate System

A.3 Basic Formulas in Analytic Geometry

**Appendix B Special Topics**

B.1 Significant Digits

B.2 Partial Fractions

B.3 Descartes Rule of Signs

B.4 Parametric Equations

**Appendix C Geometric Formulas**

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 2005

International: No

Published: 2005

International: No

**New Features**

- Data Analysis and Problem Solving: A renewed and expanded emphasis on analyzing authentic data through regression aids the emphasis on matheamtical modeling.
- Functions: A Unified Strand The text ties together functions and modeling by introducing this connection in Chapter 1 and integrating it forward. This promotes the development of a library of functions and a toolkit for learning algebra and foreshadows the concepts of calculus.

**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

**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

**3 Polynomial and Rational Functions**

3.1 Polynomial Functions and Models

3.2 Real Zeros and Polynomial Inequalities

3.3 Complex Zeros and Rational Zeros of Polynomials

3.4 Rational Functions and Inequalities

**4 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

**5 Trigonometric Functions**

5.1 Angles and Their Measure

5.2 Right Triangle Trigonometry

5.3 Trigonometric Functions: A Unit Circle Approach

5.4 Properties of Trigonometric Functions

5.5 More General Trigonometric Functions and Models

5.6 Inverse Trigonometric Functions

**6 Trigonometric Identities and Conditional Equations**

6.1 Basic Identities and Their Use

6.2 Sum, Difference, and Cofunction Identities

6.3 Double-Angle and Half-Angle Identities

6.4 Product-Sum and Sum-Product Identities

6.5 Trigonometric Equations

**7 Additional Topics in Trigonometry**

7.1 Law of Sines

7.2 Law of Cosines

7.3 Geometric Vectors

7.4 Algebraic Vectors

7.5 Polar Coordinates and Graphs

7.6 Complex Numbers in Rectangular and Polar Forms

7.7 De Moivres Theorem

**8 Modeling with Linear Systems**

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations and Augmented Matrices

8.3 Gauss-Jordan Elimination

8.4 Systems of Linear Inequalities

8.5 Linear Programming

**9 Matrices and Determinants**

9.1 Matrix Operations

9.2 Inverse of a Square Matrix

9.3 Matrix Equations and Systems of Linear Equations

9.4 Determinants

9.5 Properties of Determinants

9.6 Determinants and Cramers Rule

**10 Sequences, Induction, and Probability**

10.1 Sequences and Series

10.2 Mathematical Induction

10.3 Arithmetic and Geometric Sequences

10.4 Multiplication Principle, Permutations, and Combinations

10.5 Sample Spaces and Probability

10.6 Binomial Formula

**11 Additional Topics in Analytic Geometry**

11.1 Conic Sections; Parabola

11.2 Ellipse

11.3 Hyperbola

11.4 Translation of Axes

11.5 Rotation of Axes

11.6 Nonlinear Systems

**Appendix A Review of Equations and Graphing**

A.1 Linear Equations and Inequalities

A.2 Cartesian Coordinate System

A.3 Basic Formulas in Analytic Geometry

**Appendix B Special Topics**

B.1 Significant Digits

B.2 Partial Fractions

B.3 Descartes Rule of Signs

B.4 Parametric Equations

**Appendix C Geometric Formulas**