Intermediate Algebra through Applications
Published on 10. February 2005
Book
Paperback/Softback
752 pages
978-0-201-31224-9 (ISBN)
Description
Throughout this text, motivating real-world applications, examples, and exercises demonstrate how integral mathematical understanding is to student mastery in other disciplines, a variety of occupations, and everyday situations. A distinctive side-by-side format, pairing each example with a corresponding practice exercise, encourages students to get actively involved in the mathematical content from the start. Unique Mindstretchers target different levels and types of student understanding in one comprehensive problem set per section. Mindstretchers incorporate related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and historical connections. To show how mathematics has evolved over the centuries, in many cultures, and throughout the world, each chapter features a compelling Cultural Note that investigates and illustrates the origins of mathematical concepts. Diverse topics include art, music, the evolution of digit notation, and the ancient practice of using a scale to find an unknown weight.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 274 mm
Width: 217 mm
Thickness: 33 mm
Weight
1992 gr
ISBN-13
978-0-201-31224-9 (9780201312249)
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
Geoffrey Akst | Sadie Bragg
Intermediate Algebra through Applications
Book
02/2008
2nd Edition
Pearson
€86.65
Article exhausted; check for reprint
Content
1. Algebra Basics.
Introduction to Real Numbers.
Operations with Real Numbers (incl. order of operations).
Properties of Real Numbers.
Laws of Exponents and Scientific Notation.
Algebraic Expressions; Translating, Evaluating, and Simplifying.
2. Linear Equations and Inequalities.
Solving Linear Equations.
Solving Literal Equations and Formulas.
Solving Linear Inequalities.
Solving Compound Inequalities.
Solving Absolute Value Equations and Inequalities.
3. Graphs, Linear Equations and Inequalities, and Functions.
The Rectangular Coordinate System.
Slope.
Graphing Linear Equations.
More on Graphing Linear Equations.
Introduction to Functions.
Graphing Linear Inequalities.
4. Systems of Linear Equations and Inequalities.
Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations Algebraically by Substitution and Elimination.
Solving Systems of Linear Equations with Three Variables.
Solving Systems of Linear Equations by Using Matrices.
Solving Systems of Linear Inequalities.
5. Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials; Special Products.
Division of Polynomials.
The Greatest Common Factor and Factoring by Grouping.
Factoring Trinomials.
Special Factoring.
Solving Equations by Factoring.
6. Rational Expressions and Equations.
Multiplication and Division of Rational Expressions.
Addition and Subtraction of Rational Expressions.
Complex Rational Expressions.
Solving Rational Equations.
Variation.
7. Radical Expressions and Equations.
Radical Expressions and Rational Exponents.
Simplifying Radical Expressions.
Addition and Subtraction of Radical Expressions.
Multiplication and Division of Radical Expressions.
Solving Radical Equations.
Complex Numbers.
8. Quadratic Equations, Functions and Inequalities.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations by Using the Quadratic Formula (incl. the discriminant).
More on Quadratic Equations (incl. equations reducible to quadratic equations).
Graphing Quadratic Functions.
Solving Quadratic Inequalities.
9. Exponential and Logarithmic Functions.
The Algebra of Functions.
Exponential Functions.
Logarithmic Functions and Their Properties.
Properties of Logarithms.
Common Logarithms, Natural Logarithms, and Change of Base.
Solving Exponential and Logarithmic Equations.
10. Conic Sections.
The Parabola.
The Circle.
The Ellipse and the Hyperbola.
Solving Nonlinear Systems of Equations.
Solving Quadratic Inequalities.
Solving Nonlinear Systems of Inequalities.
Appendices.
Tables of Squares and Square Roots.
Common Logarithms.
Using a Graphing Calculator.
Introduction to Real Numbers.
Operations with Real Numbers (incl. order of operations).
Properties of Real Numbers.
Laws of Exponents and Scientific Notation.
Algebraic Expressions; Translating, Evaluating, and Simplifying.
2. Linear Equations and Inequalities.
Solving Linear Equations.
Solving Literal Equations and Formulas.
Solving Linear Inequalities.
Solving Compound Inequalities.
Solving Absolute Value Equations and Inequalities.
3. Graphs, Linear Equations and Inequalities, and Functions.
The Rectangular Coordinate System.
Slope.
Graphing Linear Equations.
More on Graphing Linear Equations.
Introduction to Functions.
Graphing Linear Inequalities.
4. Systems of Linear Equations and Inequalities.
Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations Algebraically by Substitution and Elimination.
Solving Systems of Linear Equations with Three Variables.
Solving Systems of Linear Equations by Using Matrices.
Solving Systems of Linear Inequalities.
5. Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials; Special Products.
Division of Polynomials.
The Greatest Common Factor and Factoring by Grouping.
Factoring Trinomials.
Special Factoring.
Solving Equations by Factoring.
6. Rational Expressions and Equations.
Multiplication and Division of Rational Expressions.
Addition and Subtraction of Rational Expressions.
Complex Rational Expressions.
Solving Rational Equations.
Variation.
7. Radical Expressions and Equations.
Radical Expressions and Rational Exponents.
Simplifying Radical Expressions.
Addition and Subtraction of Radical Expressions.
Multiplication and Division of Radical Expressions.
Solving Radical Equations.
Complex Numbers.
8. Quadratic Equations, Functions and Inequalities.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations by Using the Quadratic Formula (incl. the discriminant).
More on Quadratic Equations (incl. equations reducible to quadratic equations).
Graphing Quadratic Functions.
Solving Quadratic Inequalities.
9. Exponential and Logarithmic Functions.
The Algebra of Functions.
Exponential Functions.
Logarithmic Functions and Their Properties.
Properties of Logarithms.
Common Logarithms, Natural Logarithms, and Change of Base.
Solving Exponential and Logarithmic Equations.
10. Conic Sections.
The Parabola.
The Circle.
The Ellipse and the Hyperbola.
Solving Nonlinear Systems of Equations.
Solving Quadratic Inequalities.
Solving Nonlinear Systems of Inequalities.
Appendices.
Tables of Squares and Square Roots.
Common Logarithms.
Using a Graphing Calculator.