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Based on the best-selling series by the Aufmann team, this hardcover text for the intermediate algebra course adheres to the formula that has made the Aufmann developmental texts so reliable for both students and instructors. The text's clear writing style, emphasis on problem-solving strategies, and proven Aufmann Interactive Method--in an objective-based framework--offer guided learning for both lecture and self-paced courses. The completely integrated learning system is organized by objectives. Each chapter begins with a list of learning objectives, which are woven throughout the text, in Exercises, Chapter Tests, and Cumulative Reviews, as well as through the print and multimedia ancillaries. The result is a seamless, easy-to-follow learning system.
- Enhanced WebAssign! Easy to Use. Easy to Assign. Easy to Manage. EWA is a user friendly way to assign, collect, grade, and record homework. Exercises come directly from the text and can be parameterized to ensure that every students has a parallel, but slightly different homework assignment. This complete learning system for students includes text-specific exercises, as well as tutorials, videos, and links to online tutoring, and eBook sections of the text.
- New Flash videos! Every end of chapter test question now is accompanied by a flash video available via the student website. These videos feature real instructors including co-author, Joanne Lockwood, as they demonstrate step-by-step solutions that follow the problem solving methods used in the text.
- All lessons, exercise sets, tests and supplements are organized around a carefully constructed hierarchy of objectives. This organization serves as a framework for a complete learning system, allowing students to remediate their learning independently at any point in the process.
- Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- AIM for Success, a special Preface for Students, guides students in successful use of the text and walks them through the Aufmann Interactive Method (AIM). Suggestions for teaching AIM for Success as a lesson on the first day of class are available in the Instructor's Resource Manual.
- Prep Tests at the beginning of each chapter preview the prerequisite skills that will be needed. The answers to these questions can be found in the Answer Appendix along with a reference to the objective from which the review question was taken.
- The Aufmann Interactive Method (AIM), which enhances the presentation of every objective, features one or more sets of matched-pair examples that encourage students to interact with the text. The first example in each set is completely worked out; the matched Problem prompts students to practice concepts as they are presented in the text. Each Problem includes a reference to an Appendix in the back of the text where there is a completely worked-out solution. This immediate feedback reinforces the concept, helps to identify problem areas, and prevents frustration.
- Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
1. REVIEW OF REAL NUMBERS.
Introduction to Real Numbers. Operations on Rational Numbers. Variable Expressions. Verbal Expressions and Variable Expressions.
2. FIRST DEGREE EQUATIONS AND INEQUALITIES.
Equations in One Variable. Coin, Stamp, and Integer Problems. Value Mixture and Motion Problems. Applications: Problems Involving Percent. Inequalities in One Variable. Absolute Value Equations and Inequalities.
3. LINEAR FUNCTIONS AND INEQUALITIES IN TWO VARIABLES.
The Rectangular Coordinate System. Introduction to Functions. Linear Functions. Slope of a Straight Line. Finding Equations of Lines. Parallel and Perpendicular Lines. Inequalities in Two Variables.
4. SYSTEMS OF 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 Equations by Using Determinants and by Using Matrices. Application Problems. Solving Systems of Linear Inequalities.
5. POLYNOMIALS AND EXPONENTS.
Exponential Expressions. Introduction to Polynomials. Multiplication of Polynomials. Division of Polynomials. Factoring Polynomials. Special Factoring. Solving Equations by Factoring.
6. RATIONAL EXPRESSIONS.
Introduction to Rational Functions. Operations on Rational Expressions. Complex Fractions. Rational Equations. Proportions and Variation. Literal Equations.
7. RATIONAL EXPONENTS AND RADICALS.
Rational Exponents and Radical Expressions. Operations on Radical Expressions. Radical Functions. Solving Equations Containing Radical Expressions. Complex Numbers.
8. QUADRATIC EQUATIONS AND INEQUALITIES.
Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula. Equations That Are Reducible to Quadratic Equations. Applications of Quadratic Equations. Nonlinear Inequalities. Properties of Quadratic Functions. Applications of Quadratic Functions.
9. FUNCTIONS AND RELATIONS.
Translations of Graphs. Algebra of Functions. One-to-One and Inverse Functions.
10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Introduction to Logarithms. Graphs of Logarithmic Functions. Exponential and Logarithmic Equations. Applications of Exponential and Logarithmic Functions.
11. SEQUENCES AND SERIES.
Introduction to Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. Binomial Expansions.
12. CONIC SECTIONS.
The Parabola. The Circle. The Ellipse and the Hyperbola. Solving Nonlinear Systems of Equations. Quadratic Inequalities and Systems of Inequalities.
Solutions to Chapter Problems.
Answers to Selected Exercises.
Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.
This DVD-ROM provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with Diploma® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Easily write, edit and update your syllabus with the Aufmann/Lockwood Syllabus Creator. This software program allows you to create your new syllabus in 6 easy steps: select the required course objectives, add your contact information, course information, student expectations, the grading policy, dates and location, and your course outline. And now you have your syllabus! Microsoft® PowerPoint® lecture slides, figures from the book, and a Test Bank, in electronic format, are also included on this DVD-ROM.