Beginning Algebra with Applications and Visualization
Published on 23. November 2004
Book
Hardback
648 pages
978-0-321-15726-3 (ISBN)
Description
Beginning Algebra with Applications and Visualization offers an innovative approach to the beginning algebra curriculum that allows students to gain both skills and understanding. This text not only prepares students for future mathematics courses, but it also demonstrates to students the relevance of mathematics. Real data, graphs, and tables play an important role in the course, giving meaning to the numbers and equations that students encounter. This approach increases student interest, motivation, and the likelihood for success. Many students think in visual, concrete terms and not abstractly. This text helps students learn mathematics better by moving from the concrete to the abstract. It makes use of multiple representations (verbal, graphical, numerical, and symbolic), applications, visualization, and technology.
More details
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: 26 mm
Weight
1427 gr
ISBN-13
978-0-321-15726-3 (9780321157263)
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
Gary K. Rockswold | Terry A. Krieger
Beginning Algebra with Applications & Visualization
Book
02/2008
2nd Edition
Pearson
€122.55
Article exhausted; check for reprint
Content
1. Introduction to Algebra.
Numbers, Variables, and Algebraic Expressions.
Fractions.
Exponents and Order of Operations.
Real Numbers and the Number Line.
Addition and Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Properties of Real Numbers.
Simplifying and Writing Algebraic Expressions.
2. Linear Equations and Inequalities.
Introduction to Equations.
Linear Equations.
Introduction to Problem Solving.
Formulas.
Linear Inequalities.
3. Graphing Equations.
Introduction to Graphing.
Linear Equations in Two Variables.
More Graphing of Lines.
Slope and Rates of Change.
Slope-Intercept Form.
Point-Slope Form.
Introduction to Modeling.
4. Systems of Linear Equations in Two Variables.
Solving Systems of Linear Equations Graphically and Numerically.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
Systems of Linear Inequalities.
5. Polynomials and Exponents.
Addition and Subtraction of Polynomials.
Rules for Exponents.
Multiplication of Polynomials.
Special Products.
Integer Exponents and the Quotient Rule.
Division of Polynomials.
6. Factoring Polynomials and Solving Equations.
Introduction to Factoring.
Factoring Trinomials (I).
Factoring Trinomials (II).
Special Types of Factoring.
Solving Equations by Factoring.
Factoring Polynomials.
7. Rational Expressions.
Introduction to Rational Expressions.
Multiplication and Division of Rational Expressions.
Addition and Subtraction of Rational Expressions (I).
Addition and Subtraction of Rational Expressions (II).
Complex Fractions.
Rational Equations and Formulas.
Proportions and Variation.
8. Radical Expressions and Functions.
Radical Expressions.
Multiplication and Division of Radical Expressions.
Addition and Subtraction of Radical Expressions.
Simplifying Radical Expressions.
Equations Involving Radicals.
Formulas from Geometry.
Rational Exponents.
Complex Numbers.
9. Quadratic Equations.
Parabolas.
Quadratic Equations (I).
Quadratic equations (II).
The Quadratic Formula.
Quadratic Inequalities.
Appendix: Graphing Calculator.
Glossary.
Bibliography.
Answers to Selected Exercises.
Index.
Numbers, Variables, and Algebraic Expressions.
Fractions.
Exponents and Order of Operations.
Real Numbers and the Number Line.
Addition and Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Properties of Real Numbers.
Simplifying and Writing Algebraic Expressions.
2. Linear Equations and Inequalities.
Introduction to Equations.
Linear Equations.
Introduction to Problem Solving.
Formulas.
Linear Inequalities.
3. Graphing Equations.
Introduction to Graphing.
Linear Equations in Two Variables.
More Graphing of Lines.
Slope and Rates of Change.
Slope-Intercept Form.
Point-Slope Form.
Introduction to Modeling.
4. Systems of Linear Equations in Two Variables.
Solving Systems of Linear Equations Graphically and Numerically.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
Systems of Linear Inequalities.
5. Polynomials and Exponents.
Addition and Subtraction of Polynomials.
Rules for Exponents.
Multiplication of Polynomials.
Special Products.
Integer Exponents and the Quotient Rule.
Division of Polynomials.
6. Factoring Polynomials and Solving Equations.
Introduction to Factoring.
Factoring Trinomials (I).
Factoring Trinomials (II).
Special Types of Factoring.
Solving Equations by Factoring.
Factoring Polynomials.
7. Rational Expressions.
Introduction to Rational Expressions.
Multiplication and Division of Rational Expressions.
Addition and Subtraction of Rational Expressions (I).
Addition and Subtraction of Rational Expressions (II).
Complex Fractions.
Rational Equations and Formulas.
Proportions and Variation.
8. Radical Expressions and Functions.
Radical Expressions.
Multiplication and Division of Radical Expressions.
Addition and Subtraction of Radical Expressions.
Simplifying Radical Expressions.
Equations Involving Radicals.
Formulas from Geometry.
Rational Exponents.
Complex Numbers.
9. Quadratic Equations.
Parabolas.
Quadratic Equations (I).
Quadratic equations (II).
The Quadratic Formula.
Quadratic Inequalities.
Appendix: Graphing Calculator.
Glossary.
Bibliography.
Answers to Selected Exercises.
Index.