Intermediate Algebra

Intermediate Algebra

by Donald Hutchison, James Streeter, Louis Hoelzle
     
 

ISBN-10: 0070626022

ISBN-13: 9780070626027

Pub. Date: 08/01/1994

Publisher: McGraw-Hill Higher Education

The focus of this series by Hutchison and Hoelzle is to make students proficient in algebra while becoming better problem solvers. To accomplish this goal,the authors emphasize conceptual understanding. They ask students to think critically,to explore and explain concepts in writing,and to extend their understanding through group activities. The environmental…  See more details below

Overview

The focus of this series by Hutchison and Hoelzle is to make students proficient in algebra while becoming better problem solvers. To accomplish this goal,the authors emphasize conceptual understanding. They ask students to think critically,to explore and explain concepts in writing,and to extend their understanding through group activities. The environmental essays that open each chapter connect algebra to real world problem solving and can be used to stimulate class discussions and promote collaborative learning. Functions and graphing are introduced early (Chapter Three) and are then integrated throughout the rest of the text. This approach allows for visual interpretation of the mathematical concepts,which in turn encourages students to develop an intuitive understanding of equations and their graphs. Also by introducing these topics early,students become familiar and comfortable with concepts that are critical to their success in future math courses. Intermediate Algebra includes marginal notes and examples that indicate how technology can enhance the study of algebra through exploration,visualization,and geometric interpretation. These examples fall at the end of section discussions and may be omitted if a graphing tool is not being used. The text is written in a clear,concise style with numerous examples which are connected by thoughtful transitions that either reinforce the student's understanding of the previous concepts or prepare them for the next example. Each example is followed by a "Check Yourself' exercise that facilitates the student's active involvement in the learning process.

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Product Details

ISBN-13:
9780070626027
Publisher:
McGraw-Hill Higher Education
Publication date:
08/01/1994
Pages:
639
Product dimensions:
8.27(w) x 9.06(h) x (d)

Related Subjects

Table of Contents

1 The Real Numbers
1.1 The Set of Real Numbers
1.2 Operations and Properties
1.3 Inequalities and Absolute Values
1.4 Algebraic Expressions
1.5 Properties of Exponents and Scientific Notation

2 Linear Equations and Inequalities
2.1 Solutions of Linear Equations in One Variable
2.2 Literal Equations and Formulas
2.3 Applications and Problem Solving
2.4 Linear Inequalities
2.5 Absolute Value Equations and Inequalities

3 Graphs of Linear Relations and Functions
3.1 Graphing Linear Equations
3.2 An Introduction to Functions
3.3 The Slope of a Line
3.4 Forms of Linear Equations
3.5 Graphing Absolute Value Functions and Linear Inequalities

4 Systems of Linear Relations
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables
4.3 Solving Systems of Equations Using Matrices
4.4 Graphing Systems of Linear Inequalities

5 Polynomials and Polynomial Functions
5.1 Addition and Subtraction of Polynomials
5.2 Multiplication of Polynomials
5.3 Division of Polynomials
5.4 Common Factors and Factoring by Grouping
5.5 Factoring Special Binomials
5.6 Factoring Trinomials: Trial and Error
5.7 Factoring Trinomials: The ac Method
5.8 Strategies in Factoring
5.9 Solving Quadratic Equations by Factoring

6 Rational Expressions and Functions
6.1 Simplification of Rational Expressions and Functions
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions
6.4 Complex Fractions
6.5 Solving Rational Equations
6.6 Variation

7 Radical and Radical Exponents
7.1 Roots and Radicals
7.2 Simplification of Radical Expressions
7.3 Operations on Radical Expressions
7.4 Solving Radical Equations
7.5 Geometric and Other Applications
7.6 Rational Exponents
7.7 Complex Numbers

8 Quadratic Equations, Functions, and Inequalities
8.1 Graphing Factorable Quadratic Functions
8.2 Solving Quadratic Equations by Completing the Square
8.3 Solving Quadratic Equations by Using the Quadratic Formula
8.4 Solving Equations that are Quadratic in Form
8.5 Quadratic Inequalities and Rational Inequalities

9 Conic Sections
9.1 Parabolas
9.2 Circles
9.3 Ellipses and Hyperbolas
9.4 Nonlinear Systems

10 Additional Properties of Functions
10.1 Algebra of Functions
10.2 Composition of Functions
10.3 Inverse Relations and Functions

11 Exponential and Logarithmic Functions
11.1 Exponential Functions
11.2 Logarithmic Functions
11.3 Properties of Logarithms
11.4 Solving Logarithmic and Exponential Equations

Appendix: Determinants and Cramer’s Rule

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