Essentials of College Algebra

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9780618480968: Essentials of College Algebra

This text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success. In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.

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About the Author:

Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.

Richard Nation received a B.A. in mathematics from Morningside College and a M.S. degree in mathematics from the University of South Dakota. Mr. Nation also attended a National Science Foundation academic year institute in mathematics at San Diego State University. Mr. Nation taught math at Palomar College in California, where he was on the faculty for 20 years. He has over 38 years' experience teaching mathematics at the high school and college levels. He is the co-author of several Aufmann titles. Today, Mr. Nation's professional interests include the impact of technology on curriculum development and on the teaching of mathematics at the precalculus level.

Review:

Note: Each chapter includes a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 1-6 include Cumulative Review Exercises. Preliminary Concepts P.1 The Real Number System P.2 Integer and Rational Number Exponents P.3 Polynomials P.4 Rational Expressions P.5 Complex Numbers Exploring Concepts with Technology: Can You Trust Your Calculator? 1. Equations and Inequalities 1.1 Linear and Absolute Value Equations 1.2 Formulas and Applications 1.3 Quadratic Equations 1.4 Other Types of Equations 1.5 Inequalities Exploring Concepts with Technology: Use a Graphing Calculator to Solve Equations 2. Functions and Graphs 2.1 A Two-Dimensional Coordinate System and Graphs 2.2 Introduction to Functions 2.3 Linear Functions 2.4 Quadratic Functions 2.5 Properties of Graphs 2.6 The Algebra of Functions Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator 3. Polynomial and Rational Functions 3.1 The Remainder Theorem and the Factor Theorem 3.2 Polynomial Functions of Higher Degree 3.3 Zeros of Polynomial Functions 3.4 The Fundamental Theorem of Algebra 3.5 Graphs of Rational Functions and Their Applications Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica 4. Exponential and Logarithmic Functions 4.1 Inverse Functions 4.2 Exponential Functions and Their Applications 4.3 Logarithmic Functions and Their Applications 4.4 Logarithms and Logarithmic Scales 4.5 Exponential and Logarithmic Equations 4.6 Exponential Growth and Decay Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay 5. Systems Of Equations 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations in More Than Two Variables 5.3 Inequalities in Two Variables and Systems of Inequalities Exploring Concepts with Technology: Ill-Conditioned Systems of Equations

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