Elementary and Intermediate Algebra
Graphs and Models
Published on 9. November 2001
Book
Hardback
832 pages
978-0-201-63676-5 (ISBN)
Description
Appropriate for a two-semester course of beginning and intermediate algebra. By requiring the use of the graphing calculator, this text joins a leading trend in the developmental math market. The authors' state their view on their use of technology as, "We use the graphing technology to enhance, not to replace, the students' mathematical skills."
Elementary and Intermediate Algebra: Graphs and Models covers both elementary and intermediate algebra without the repetition of instruction necessary in two separate texts. Geared toward helping students learn and apply mathematics by incorporating the hallmark Bittinger Five-Step problem-solving process, this text integrates real world applications with proven pedagogy and an accessible writing style. This text will be graphing calculator required but still has a strong balance of skill and drill algebra.
Elementary and Intermediate Algebra: Graphs and Models covers both elementary and intermediate algebra without the repetition of instruction necessary in two separate texts. Geared toward helping students learn and apply mathematics by incorporating the hallmark Bittinger Five-Step problem-solving process, this text integrates real world applications with proven pedagogy and an accessible writing style. This text will be graphing calculator required but still has a strong balance of skill and drill algebra.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Weight
1000 gr
ISBN-13
978-0-201-63676-5 (9780201636765)
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
01/2004
2nd Edition
Pearson
€94.08
Article exhausted; check for reprint
Content
1. Introduction to Algebraic Expression.
Introduction to Algebra.
Fractional Notation.
Positive and Negative Real Numbers.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Equivalent Algebraic Expressions.
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.
Graphical Solutions of Equations and Inequalities.
Graphs and Slope.
Introduction to Functions.
Domain and Range.
4. Linear Equations, Inequalities, and Graphs.
Linear Functions: Graphs and Models.
Another Look at Linear Graphs.
Introduction to Curve Fitting: Point-Slope Form and Linear Regression.
Linear Inequalities in Two Variables.
Intersections, Unions, and Compound Inequalities.
Absolute-Value Equations and Inequalities.
5. Polynomials.
Exponents and Their Properties.
Polynomial Functions and Graphs.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Polynomials in Several Variables.
Division of Polynomials.
Negative Exponents and Scientific Notation.
6. Polynomials and Factoring.
Introduction to Factoring and Polynomial Equations.
Equations Containing Trinomials of the Type, x2+bx+c.
Equations Containing Trinomials of the Type, ax2+bx+c, aOE1.
Equations Containing Perfect- Square Trinomials and Differences of Squares.
Applications of Polynomial Equations.
7. Rational Expressions, Equations, and Functions.
Rational Expressions and Functions: Multiplying and Dividing.
Rational Expressions and Functions: Adding and Subtracting.
Complex Rational Expressions.
Rational Equations.
Applications and Problem Solving Using Rational Equations.
Formulas and Models.
8. Systems of Equations and Problem Solving.
Systems of Equations in Two Variables.
Solving by Substitution or Elimination.
Applications and Models Using Systems of Two Equations.
Systems of Equations in Three Variables.
Applications and Models Using Systems of Three Equations.
Elimination Using Matrices.
Business and Economic Applications.
9. Exponents and Radicals.
Radical Expressions, Functions, and Models.
Rational Numbers as Exponents.
Multiplying, Adding, and Subtracting Radical Expressions.
Multiplying, Dividing, and Simplifying Radical Expressions.
More with Multiplication and Division.
Solving Radical Equations.
Geometric Applications.
The Complex Numbers.
10. Quadratic Functions and Equations.
Quadratic Equations.
The Quadratic Formula.
Applications Involving Quadratic Equations.
More on Quadratic Equations.
Variation and Problem Solving.
Quadratic Functions and Their Graphs.
More About Graphing Quadratic Equations.
Applications and Models Involving Quadratic Functions.
Polynomial and Rational Inequalities.
11. Exponential and Logarithmic Functions.
Exponential Functions.
Composite and Inverse Functions.
Logarithmic Functions.
Properties of Logarithmic Functions.
Natural Logarithms and Change of Base.
Solving Exponential and Logarithmic Equations.
Applications and Models Using Exponential and Logarithmic Functions.
12. Sequences, Series, and Probability.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem.
Introduction to Probability.
Elementary Algebra Review.
Introduction to Algebraic Expressions.
Equations, Inequalities, and Problem Solving.
Introduction to Graphing and Functions.
Linear Functions.
Polynomials.
Polynomials and Factoring.
Introduction to Algebra.
Fractional Notation.
Positive and Negative Real Numbers.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Equivalent Algebraic Expressions.
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.
Graphical Solutions of Equations and Inequalities.
Graphs and Slope.
Introduction to Functions.
Domain and Range.
4. Linear Equations, Inequalities, and Graphs.
Linear Functions: Graphs and Models.
Another Look at Linear Graphs.
Introduction to Curve Fitting: Point-Slope Form and Linear Regression.
Linear Inequalities in Two Variables.
Intersections, Unions, and Compound Inequalities.
Absolute-Value Equations and Inequalities.
5. Polynomials.
Exponents and Their Properties.
Polynomial Functions and Graphs.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Polynomials in Several Variables.
Division of Polynomials.
Negative Exponents and Scientific Notation.
6. Polynomials and Factoring.
Introduction to Factoring and Polynomial Equations.
Equations Containing Trinomials of the Type, x2+bx+c.
Equations Containing Trinomials of the Type, ax2+bx+c, aOE1.
Equations Containing Perfect- Square Trinomials and Differences of Squares.
Applications of Polynomial Equations.
7. Rational Expressions, Equations, and Functions.
Rational Expressions and Functions: Multiplying and Dividing.
Rational Expressions and Functions: Adding and Subtracting.
Complex Rational Expressions.
Rational Equations.
Applications and Problem Solving Using Rational Equations.
Formulas and Models.
8. Systems of Equations and Problem Solving.
Systems of Equations in Two Variables.
Solving by Substitution or Elimination.
Applications and Models Using Systems of Two Equations.
Systems of Equations in Three Variables.
Applications and Models Using Systems of Three Equations.
Elimination Using Matrices.
Business and Economic Applications.
9. Exponents and Radicals.
Radical Expressions, Functions, and Models.
Rational Numbers as Exponents.
Multiplying, Adding, and Subtracting Radical Expressions.
Multiplying, Dividing, and Simplifying Radical Expressions.
More with Multiplication and Division.
Solving Radical Equations.
Geometric Applications.
The Complex Numbers.
10. Quadratic Functions and Equations.
Quadratic Equations.
The Quadratic Formula.
Applications Involving Quadratic Equations.
More on Quadratic Equations.
Variation and Problem Solving.
Quadratic Functions and Their Graphs.
More About Graphing Quadratic Equations.
Applications and Models Involving Quadratic Functions.
Polynomial and Rational Inequalities.
11. Exponential and Logarithmic Functions.
Exponential Functions.
Composite and Inverse Functions.
Logarithmic Functions.
Properties of Logarithmic Functions.
Natural Logarithms and Change of Base.
Solving Exponential and Logarithmic Equations.
Applications and Models Using Exponential and Logarithmic Functions.
12. Sequences, Series, and Probability.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem.
Introduction to Probability.
Elementary Algebra Review.
Introduction to Algebraic Expressions.
Equations, Inequalities, and Problem Solving.
Introduction to Graphing and Functions.
Linear Functions.
Polynomials.
Polynomials and Factoring.