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Description:

Intended for a first-year level developmental mathematics course in intermediate algebra, Exploring Intermediate Algebra: A Graphing Approach is designed to assist students in making connections between mathematics and its applications. Its goal is to develop a student's mathematical skills through appropriate use of applications and to use technology to establish links between abstract mathematical concepts and visual or concrete representations. The proven Aufmann Interactive Method (AIM) ensures that students try concepts and manipulate real-life data as they progress through the material. Every objective contains one or more sets of matched-pair examples encouraging students to interact… More with the text. The first example in each set is completely worked out; the second example, called 'You Try It,' prompts students to practice concepts at the time they are presented in the text. Complete worked-out solutions to these examples in an appendix at the end of the book help students by providing immediate feedback, concept reinforcement, and identification of mistakes to prevent frustration. Technology is integrated throughout the text to assist students in making connections between abstract mathematical concepts and a concrete representation provided by technology. This is one way in which students are encouraged to think about and use multiple representations of a concept. The inclusion of technology also facilitates computation in order to focus on analysis rather than manipulation and enables students to examine concepts that would be too difficult or time consuming if the technology were not available. AIM for Success, a special preface designed to promote student success, provides students with strategies for using the text and the Aufmann Interactive Method. Suggestions for using this section as a lesson are featured in the Instructor's Resource Manual and the lesson is also available as a PowerPoint presentation. Eduspace is Houghton Mifflin's online learning tool. Powered by Blackboard, Eduspace is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content. The Aufmann/Lockwood/Boswell Exploring Intermediate Algebra course features algorithmic exercises and test bank content in question pools.Less

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Book details

Copyright year: 2004 Publisher: CENGAGE Learning Binding: Hardcover Language: English

AuthorTable of Contents

Richard Aufmann is Professor of Mathematics at Palomar College in California. He is the lead author of two best-selling developmental math series, a best-selling college algebra and trigonometry series, as well as several derivative math texts. The Aufmann name is highly recognized and respected among college mathematics faculty.

Note: Each chapter begins with a Prep Test and includes a Chapter Summary, Chapter Review Exercises, and a Chapter Test

Chapters 210 conclude with Cumulative Review Exercises

Fundamental Concepts

Problem Solving

Sets

Evaluating Variable Expressions Using Integers

Evaluating Variable Expressions Using Rational Numbers

Simplifying Variable Expressions

Introduction to Functions and Relations

Rectangular Coordinates and Graphs

Relations and Functions

Properties of Functions

First-Degree Equations and Inequalities

Solving First-Degree Equations

Applications of First-Degree Equations

Applications to Geometry

Inequalities in One Variable

Absolute Value Equations and Inequalities

Linear Functions

Slopes and Graphs of Linear Functions

Finding Equations of Straight Lines

Linear Regression

Linear Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Solving Systems of Linear Equations by Graphing and by the Substitution Method

Solving Systems of Linear Equations by the Addition Method

Solving Systems of Linear Equations Using Matrices

Systems of Linear Inequalities and Linear Programming

Polynomials

Operations on Monomials and Scientific Notation

Addition and Subtraction of Polynomials

Multiplication and Division of Polynomials

Factoring Polynomials

Solving Equations by Factoring

Rational Expressions and Equations

Introduction to Rational Expressions

Operations on Rational Expressions

Rational Equations

Proportions and Similar Triangles

Variation

Radical Expressions and Rational Exponents

Rational Exponents and Radical Expressions

Simplifying Radical Expressions

The Pythagorean Theorem

Operations on Radical Expressions

Radical Functions

Solving Radical Equations

Quadratic Functions and Quadratic Inequalities

Introduction to Quadratic Equations

Solving Quadratic Equations by Taking Square Roots and by Completing the Square

Solving Quadratic Equations by Using the Quadratic Formula and by Graphing

Equations That Are Quadratic in Form

Quadratic Functions

Quadratic Inequalities

Exponential and Logarithmic Functions

Algebra of Functions

Inverse Functions

Exponential Functions

Exponential Models and Exponential Regression

Logarithmic Functions

Properties of Logarithms

Exponential and Logarithmic Equations Additional Topics in Algebra

Section 1

Section 2

Section 3

Keystroke Guide for the TI-83 and TI-83 Plus

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