by Marvin L. Bittinger, Judith A. Beecher, David Ellenbogen and Judith Penna

ISBN13: 978-0201616729

ISBN10: 0201616726

Cover type:

Edition/Copyright: 2ND 01

Publisher: Addison-Wesley Longman, Inc.

Published: 2001

International: No

ISBN10: 0201616726

Cover type:

Edition/Copyright: 2ND 01

Publisher: Addison-Wesley Longman, Inc.

Published: 2001

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 and Graphs.

Logarithmic Functions and Graphs.

Properties of Logarithmic Functions.

Solving Exponential and Logarithmic Equations.

Applications and Models: Growth and Decay.

**5. 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.

**6. Conic Sections. **

The Parabola.

The Circle and the Ellipse.

The Hyperbola.

Nonlinear Systems of Equations.

**7. 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.

Marvin L. Bittinger, Judith A. Beecher, David Ellenbogen and Judith Penna

ISBN13: 978-0201616729ISBN10: 0201616726

Cover type:

Edition/Copyright: 2ND 01

Publisher: Addison-Wesley Longman, Inc.

Published: 2001

International: No

Table of Contents

**Introduction to Graphs and the Graphing Calculator. **

**R. Basic Concepts of Algebra. **

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. **

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. **

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 Division; The Remainder and Factor Theorems.

Theorems about Zeros of Polynomial Functions.

Rational Functions.

Polynomial and Rational Inequalities.

**4. Exponential and Logarithmic Functions. **

Exponential Functions and Graphs.

Logarithmic Functions and Graphs.

Properties of Logarithmic Functions.

Solving Exponential and Logarithmic Equations.

Applications and Models: Growth and Decay.

**5. Systems and Matrices. **

Systems of Equations in Three Variables.

Matrices and Systems of Equations.

Matrix Operations.

Inverses of Matrices.

Systems of Inequalities and Linear Programming.

Partial Fractions.

**6. Conic Sections. **

The Parabola.

The Circle and the Ellipse.

The Hyperbola.

Nonlinear Systems of Equations.

**7. Sequences, Series, and Combinatorics. **

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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