Elementary and Intermediate Algebra
Graphs & Models
2nd Edition
Published on 5. January 2004
Book
Hardback
1200 pages
978-0-321-12708-2 (ISBN)
Description
Geared toward helping students visualize and apply mathematics, Elementary and Intermediate Algebra: Graphs and Models, Second Edition is designed for a two-semester course. The authors make use of illustrations, graphs, and graphing technology to enhance students' mathematical skills. This is accomplished through Interactive Discoveries, Algebraic-Graphical Side-by-Sides, and the incorporation of real-data applications. In addition, students are taught problem-solving skills using the Bittinger hallmark five-step problem-solving process coupled with new Connecting the Concepts and Aha! exercises. And, as you have come to expect with any Bittinger text, we bring you a complete supplements package that now includes an Annotated Instructor's Edition and MyMathLab, Addison-Wesley's on-line course solution.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 262 mm
Width: 222 mm
Thickness: 43 mm
Weight
2440 gr
ISBN-13
978-0-321-12708-2 (9780321127082)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Marvin L. Bittinger | David J. Ellenbogen | Barbara L. Johnson
Elementary and Intermediate Algebra
Graphs & Models
Book
03/2007
3rd Edition
Pearson
€100.27
Article exhausted; check for reprint
Previous edition
Marvin L. Bittinger | David J. Ellenbogen | Barbara L. Johnson
Elementary and Intermediate Algebra
Graphs and Models
Book
11/2001
Pearson
€84.17
Article exhausted; check for reprint
Content
(Each Chapter, except for R, concludes with a "Chapter Summary and Review" and a "Chapter Test.")
1. Introduction to Algebraic Expressions.
Introduction to Algebra.
The Commutative, Associative, and Distributive Laws.
Fraction Notation.
Positive and Negative Real Numbers.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Exponential Notation and Order of Operations.
2. Equations, Inequalities, and Problem Solving.
Solving Equations.
Using the Principles Together.
Formulas.
Applications with Percent.
Problem Solving.
Solving Inequalities.
Solving Applications with Inequalities.
3. Introduction to Graphing and Functions.
Graphs, Windows, and Ordered Pairs.
Graphing Equations.
Solving Equations by Graphing.
Introduction to Functions.
Domain and Range.
The Algebra of Functions.
4. Linear Equations, Inequalities, and Graphs.
Linear Equations and Intercepts.
Rates.
Slope.
Slope-Intercept Form.
Introduction to Curve Fitting: Point-Slope Form and Regression.
Intersections, Unions, and Compound Inequalities.
Absolute-Value Equations and Inequalities.
5. Polynomials.
Exponents and Their Properties.
Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Special Products.
Polynomials in Several Variables.
Division of Polynomials.
Negative Exponents and Scientific Notation.
6. Polynomials and Factoring.
Introduction to Polynomial Factorizations and Equations.
Trinomials of the Type x2 + bx + c.
Trinomials of the Type ax2 + bx + c, a 1.
Perfect-Square Trinomials and Differences of Squares.
Sums and Differences of Cubes.
Factoring: A General Strategy.
Applications of Polynomial Equations.
7. Rational Expressions, Equations, and Functions.
Rational Expressions and Functions.
Multiplication and Division.
Addition, Subtraction, and Least Common Denominators.
Addition and Subtraction with Unlike Denominators.
Complex Rational Expressions.
Solving Rational Equations.
Applications Using Rational Equations and Proportions.
Formulas, Application, and Variation.
8. Systems of Linear Equations and Inequalities.
Systems of Equations and Graphing.
Solving by Substitution or Elimination.
Solving Applications: Systems of Two Equations.
Systems of Equations in Three Variables.
Solving Applications: Systems of Three Equations.
Elimination Using Matrices.
Determinants and Cramer's Rule.
Business and Economics Applications.
Linear Inequalities in Two Variables.
9. Exponents and Radicals.
Radical Expressions and Functions.
Rational Numbers as Exponents.
Multiplying Radical Expressions.
Dividing Radical Expressions.
Expressions Containing Several Radical Terms.
Solving Radical Equations.
Geometric Applications.
The Complex Numbers.
10. Quadratic Functions and Equations.
Quadratic Equations.
The Quadratic Formula.
Applications Involving Quadratic Equations.
Studying Solutions of Quadratic Equations.
Equations Reducible to Quadratic.
Quadratic Functions and Their Graphs.
More About Graphing Quadratic Functions.
Problem Solving and Quadratic Functions.
Polynomial and Rational Inequalities.
11. Exponential and Logarithmic Functions.
Composite and Inverse Functions.
Exponential Functions.
Logarithmic Functions.
Properties of Logarithmic Functions.
Common and Natural Logarithms.
Solving Exponential and Logarithmic Equations.
Applications of Exponential and Logarithmic Functions.
12. Conic Sections.
Circles and Parabolas.
Ellipses.
Hyperbolas.
Nonlinear Systems of Linear Equations.
13. Sequences, Series, and Probability.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem.
Probability.
R. Elementary Algebra Review.
Introduction to Algebraic Expressions.
Equations and Problem Solving.
Graphing and Functions.
Linear Equations.
Polynomials.
Polynomials and Factoring.
1. Introduction to Algebraic Expressions.
Introduction to Algebra.
The Commutative, Associative, and Distributive Laws.
Fraction Notation.
Positive and Negative Real Numbers.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Exponential Notation and Order of Operations.
2. Equations, Inequalities, and Problem Solving.
Solving Equations.
Using the Principles Together.
Formulas.
Applications with Percent.
Problem Solving.
Solving Inequalities.
Solving Applications with Inequalities.
3. Introduction to Graphing and Functions.
Graphs, Windows, and Ordered Pairs.
Graphing Equations.
Solving Equations by Graphing.
Introduction to Functions.
Domain and Range.
The Algebra of Functions.
4. Linear Equations, Inequalities, and Graphs.
Linear Equations and Intercepts.
Rates.
Slope.
Slope-Intercept Form.
Introduction to Curve Fitting: Point-Slope Form and Regression.
Intersections, Unions, and Compound Inequalities.
Absolute-Value Equations and Inequalities.
5. Polynomials.
Exponents and Their Properties.
Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Special Products.
Polynomials in Several Variables.
Division of Polynomials.
Negative Exponents and Scientific Notation.
6. Polynomials and Factoring.
Introduction to Polynomial Factorizations and Equations.
Trinomials of the Type x2 + bx + c.
Trinomials of the Type ax2 + bx + c, a 1.
Perfect-Square Trinomials and Differences of Squares.
Sums and Differences of Cubes.
Factoring: A General Strategy.
Applications of Polynomial Equations.
7. Rational Expressions, Equations, and Functions.
Rational Expressions and Functions.
Multiplication and Division.
Addition, Subtraction, and Least Common Denominators.
Addition and Subtraction with Unlike Denominators.
Complex Rational Expressions.
Solving Rational Equations.
Applications Using Rational Equations and Proportions.
Formulas, Application, and Variation.
8. Systems of Linear Equations and Inequalities.
Systems of Equations and Graphing.
Solving by Substitution or Elimination.
Solving Applications: Systems of Two Equations.
Systems of Equations in Three Variables.
Solving Applications: Systems of Three Equations.
Elimination Using Matrices.
Determinants and Cramer's Rule.
Business and Economics Applications.
Linear Inequalities in Two Variables.
9. Exponents and Radicals.
Radical Expressions and Functions.
Rational Numbers as Exponents.
Multiplying Radical Expressions.
Dividing Radical Expressions.
Expressions Containing Several Radical Terms.
Solving Radical Equations.
Geometric Applications.
The Complex Numbers.
10. Quadratic Functions and Equations.
Quadratic Equations.
The Quadratic Formula.
Applications Involving Quadratic Equations.
Studying Solutions of Quadratic Equations.
Equations Reducible to Quadratic.
Quadratic Functions and Their Graphs.
More About Graphing Quadratic Functions.
Problem Solving and Quadratic Functions.
Polynomial and Rational Inequalities.
11. Exponential and Logarithmic Functions.
Composite and Inverse Functions.
Exponential Functions.
Logarithmic Functions.
Properties of Logarithmic Functions.
Common and Natural Logarithms.
Solving Exponential and Logarithmic Equations.
Applications of Exponential and Logarithmic Functions.
12. Conic Sections.
Circles and Parabolas.
Ellipses.
Hyperbolas.
Nonlinear Systems of Linear Equations.
13. Sequences, Series, and Probability.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem.
Probability.
R. Elementary Algebra Review.
Introduction to Algebraic Expressions.
Equations and Problem Solving.
Graphing and Functions.
Linear Equations.
Polynomials.
Polynomials and Factoring.