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Edition: 3RD 06

Copyright: 2006

Publisher: Addison-Wesley Longman, Inc.

Published: 2006

International: No

Copyright: 2006

Publisher: Addison-Wesley Longman, Inc.

Published: 2006

International: No

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Introduction to Graphs and the Graphing Calculator.

R. Basic Concepts of Algebra.

The Real-Number System.

Integer Exponents, Scientific Notation, and Order of Operations.

Addition, Subtraction, and Multiplication of Polynomials.

Factoring.

Rational Expressions.

Radical Notation and Rational Exponents.

The Basics of Equation Solving.

**1. Graphs, Functions, and Models. **

Functions, Graphs, and Graphers.

Linear Functions, Slope, and Applications.

Modeling: Data Analysis, Curve Fitting, and Linear Regression.

More on Functions.

Symmetry and Transformations.

Variation and Applications.

Distance, Midpoints, and Circles.

**2. Functions and Equations: Zeros and Solutions. **

Zeros of Linear Functions and Models.

The Complex Numbers.

Zeros of Quadratic Functions and Models.

Analyzing Graphs of Quadratic Functions.

Modeling: Data Analysis, Curve Fitting, and Quadratic Regression.

Zeros and More Equation Solving.

Solving Inequalities.

**3. Polynomial and Rational Functions. **

Polynomial Functions and Models.

Polynomial Division; The Remainder and Factor Theorems.

Theorems about Zeros of Polynomial Functions.

Rational Functions.

Polynomial and Rational Inequalities.

**4. Exponential and Logarithmic Functions. **

Composite and Inverse Functions.

Exponential Functions.

Logarithmic Functions and Graphs.

Properties of Logarithmic Functions.

Solving Exponential and Logarithmic Equations.

Applications and Models: Growth and Decay.

**5. The Trigonometric Functions. **

Trigonometric Functions of Acute Angles.

Applications of Right Triangles.

Trigonometric Functions of Any Angle.

Radians, Arc Length, and Angular Speed.

Circular Functions: Graphs and Properties.

Graphs of Transformed Sine and Cosine Functions.

**6. Trigonometric Identities, Inverse Functions, and Equations. **

Identities: Pythagorean and Sum and Difference.

Identities: Cofunction, Double-Angle, and Half-Angle.

Proving Trigonometric Identities.

Inverses of the Trigonometric Functions.

Solving Trigonometric Equations.

**7. Applications of Trigonometry. **

The Law of Sines.

The Law of Cosines.

Complex Numbers: Trigonometric Form.

Polar Coordinates and Graphs.

Vectors and Applications.

Vector Operations.

**8. Systems and Matrices. **

Systems of Equations in Two Variables.

Systems of Equations in Three Variables.

Matrices and Systems of Equations.

Matrix Operations.

Inverses of Matrices.

Systems of Inequalities and Linear Programming.

Partial Fractions.

**9. Conic Sections. **

The Parabola.

The Circle and the Ellipse.

The Hyperbola.

Nonlinear Systems of Equations.

**10. Sequences, Series, and Combinatorics. **

Sequences and Series.

Arithmetic Sequences and Series.

Geometric Sequences and Series.

Mathematical Induction.

Combinatorics: Permutations.

Combinatorics: Combinations.

The Binomial Theorem.

Probability.

Appendixes.

A. Descartes' Rule of Signs.

B. Determinants and Cramer's Rule.

C. Parametric Equations

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Table of Contents

Introduction to Graphs and the Graphing Calculator.

R. Basic Concepts of Algebra.

The Real-Number System.

Integer Exponents, Scientific Notation, and Order of Operations.

Addition, Subtraction, and Multiplication of Polynomials.

Factoring.

Rational Expressions.

Radical Notation and Rational Exponents.

The Basics of Equation Solving.

**1. Graphs, Functions, and Models. **

Functions, Graphs, and Graphers.

Linear Functions, Slope, and Applications.

Modeling: Data Analysis, Curve Fitting, and Linear Regression.

More on Functions.

Symmetry and Transformations.

Variation and Applications.

Distance, Midpoints, and Circles.

**2. Functions and Equations: Zeros and Solutions. **

Zeros of Linear Functions and Models.

The Complex Numbers.

Zeros of Quadratic Functions and Models.

Analyzing Graphs of Quadratic Functions.

Modeling: Data Analysis, Curve Fitting, and Quadratic Regression.

Zeros and More Equation Solving.

Solving Inequalities.

**3. Polynomial and Rational Functions. **

Polynomial Functions and Models.

Polynomial Division; The Remainder and Factor Theorems.

Theorems about Zeros of Polynomial Functions.

Rational Functions.

Polynomial and Rational Inequalities.

**4. Exponential and Logarithmic Functions. **

Composite and Inverse Functions.

Exponential Functions.

Logarithmic Functions and Graphs.

Properties of Logarithmic Functions.

Solving Exponential and Logarithmic Equations.

Applications and Models: Growth and Decay.

**5. The Trigonometric Functions. **

Trigonometric Functions of Acute Angles.

Applications of Right Triangles.

Trigonometric Functions of Any Angle.

Radians, Arc Length, and Angular Speed.

Circular Functions: Graphs and Properties.

Graphs of Transformed Sine and Cosine Functions.

**6. Trigonometric Identities, Inverse Functions, and Equations. **

Identities: Pythagorean and Sum and Difference.

Identities: Cofunction, Double-Angle, and Half-Angle.

Proving Trigonometric Identities.

Inverses of the Trigonometric Functions.

Solving Trigonometric Equations.

**7. Applications of Trigonometry. **

The Law of Sines.

The Law of Cosines.

Complex Numbers: Trigonometric Form.

Polar Coordinates and Graphs.

Vectors and Applications.

Vector Operations.

**8. Systems and Matrices. **

Systems of Equations in Two Variables.

Systems of Equations in Three Variables.

Matrices and Systems of Equations.

Matrix Operations.

Inverses of Matrices.

Systems of Inequalities and Linear Programming.

Partial Fractions.

**9. Conic Sections. **

The Parabola.

The Circle and the Ellipse.

The Hyperbola.

Nonlinear Systems of Equations.

**10. Sequences, Series, and Combinatorics. **

Sequences and Series.

Arithmetic Sequences and Series.

Geometric Sequences and Series.

Mathematical Induction.

Combinatorics: Permutations.

Combinatorics: Combinations.

The Binomial Theorem.

Probability.

Appendixes.

A. Descartes' Rule of Signs.

B. Determinants and Cramer's Rule.

C. Parametric Equations

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2006

International: No

Published: 2006

International: No

Introduction to Graphs and the Graphing Calculator.

R. Basic Concepts of Algebra.

The Real-Number System.

Integer Exponents, Scientific Notation, and Order of Operations.

Addition, Subtraction, and Multiplication of Polynomials.

Factoring.

Rational Expressions.

Radical Notation and Rational Exponents.

The Basics of Equation Solving.

**1. Graphs, Functions, and Models. **

Functions, Graphs, and Graphers.

Linear Functions, Slope, and Applications.

Modeling: Data Analysis, Curve Fitting, and Linear Regression.

More on Functions.

Symmetry and Transformations.

Variation and Applications.

Distance, Midpoints, and Circles.

**2. Functions and Equations: Zeros and Solutions. **

Zeros of Linear Functions and Models.

The Complex Numbers.

Zeros of Quadratic Functions and Models.

Analyzing Graphs of Quadratic Functions.

Modeling: Data Analysis, Curve Fitting, and Quadratic Regression.

Zeros and More Equation Solving.

Solving Inequalities.

**3. Polynomial and Rational Functions. **

Polynomial Functions and Models.

Polynomial Division; The Remainder and Factor Theorems.

Theorems about Zeros of Polynomial Functions.

Rational Functions.

Polynomial and Rational Inequalities.

**4. Exponential and Logarithmic Functions. **

Composite and Inverse Functions.

Exponential Functions.

Logarithmic Functions and Graphs.

Properties of Logarithmic Functions.

Solving Exponential and Logarithmic Equations.

Applications and Models: Growth and Decay.

**5. The Trigonometric Functions. **

Trigonometric Functions of Acute Angles.

Applications of Right Triangles.

Trigonometric Functions of Any Angle.

Radians, Arc Length, and Angular Speed.

Circular Functions: Graphs and Properties.

Graphs of Transformed Sine and Cosine Functions.

**6. Trigonometric Identities, Inverse Functions, and Equations. **

Identities: Pythagorean and Sum and Difference.

Identities: Cofunction, Double-Angle, and Half-Angle.

Proving Trigonometric Identities.

Inverses of the Trigonometric Functions.

Solving Trigonometric Equations.

**7. Applications of Trigonometry. **

The Law of Sines.

The Law of Cosines.

Complex Numbers: Trigonometric Form.

Polar Coordinates and Graphs.

Vectors and Applications.

Vector Operations.

**8. Systems and Matrices. **

Systems of Equations in Two Variables.

Systems of Equations in Three Variables.

Matrices and Systems of Equations.

Matrix Operations.

Inverses of Matrices.

Systems of Inequalities and Linear Programming.

Partial Fractions.

**9. Conic Sections. **

The Parabola.

The Circle and the Ellipse.

The Hyperbola.

Nonlinear Systems of Equations.

**10. Sequences, Series, and Combinatorics. **

Sequences and Series.

Arithmetic Sequences and Series.

Geometric Sequences and Series.

Mathematical Induction.

Combinatorics: Permutations.

Combinatorics: Combinations.

The Binomial Theorem.

Probability.

Appendixes.

A. Descartes' Rule of Signs.

B. Determinants and Cramer's Rule.

C. Parametric Equations