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Exploring Intermediate Algebra A Graphing Approach

ISBN-10: 0618156976

ISBN-13: 9780618156979

Edition: 2004

Authors: Richard N. Aufmann, Joanne S. Lockwood, Laurie Boswell

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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 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.
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Book details

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

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
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
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
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