The Fourth Edition of College Algebra continues to promote student success by engaging students in mathematics, thus helping them see the dynamic link between concepts and applications. The authors' hallmark approach, the Aufmann Interactive Method, encourages students to interact with math by presenting an annotated example, then guiding students with a Try Exercise, and finally presenting a worked-out solution for immediate reinforcement of the concept.
An Instructor's Annotated Edition, unlike any other offered for this course, features reduced student text pages with special instructor resources in the margins: teaching tips, extra examples, ideas for reinforcing concepts, discussion suggestions, highlighted vocabulary and symbols, challenge problems, quizzes, suggested assignments, and references to transparencies that may be found both in the Instructor's Resource Manual and on the web site.
Side-by-Side Solutions to examples pair an algebraic solution and a graphical representation to accommodate different learning styles.
Integrated web resources include selected Take Note boxes (identified by a special web icon) which direct students to an interactive example or a downloadable file on the web site.
Concept Lists now prominently feature all the major topics at the beginning of each section, preparing students for the concepts to follow.
Exploring Concepts with Technology, a special end-of-chapter feature, expands on ideas introduced in the text by using technology to investigate extended mathematical applications or topics.
Projects at the end of each exercise set are designed to encourage students (or groups of students) to research andwrite about mathematics and its applications. Additional Projects are included in the Instructor's Resource Manual and on the book's web site.
Topics for Discussion, conceptual exercises included at the end of each section, can be used for discussion or writing assignments.
Take Note and Math Matters (formerly called Point of Interest) margin notes alert students about interesting aspects of math history, applications, and points that require special attention.
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.
Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series.
Richard Nation is Professor of Mathematics at Palomar College. He is the co-author of several Aufmann titles.
P. Preliminary Concepts P.1 The Real Number System P.2 Integer and Rational Number Exponents P.3 Polynomials P.4 Factoring P.5 Rational Expressions P.6 Complex Numbers 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 1.6 Variation and Applications 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 2.7 Modeling Data Using Regression 3. Polynomial and Rational Functions 3.1 The Remainder of 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 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 Properties of Logarithms and Logarithmic Scales 4.5 Exponential and Logarithmic Equations 4.6 Exponential Growth and Decay 4.7 Modeling Data with Exponential and Logarithmic Functions 5. Topics in Analytic Geometry 5.1 Parabolas 5.2 Ellipses 5.3 Hyperbolas 6. Systems of Equations and Inequalities 6.1 Systems of Linear Equations in Two Variables 6.2 Systems of Linear Equations in More Than Two Variables 6.3 Nonlinear Systems of Equations 6.4 Partial Fractions 6.5 Inequalities in Two Variables and Systems of Inequalities 6.6 Linear Programming 7. Matrices 7.1 Gaussian Elimination Method 7.2 The Algebra of Matrices 7.3 The Inverse of a Matrix 7.4 Determinants 7.5 Cramer's Rule 8. Sequences, Series, and Probability 8.1 Infinite Sequences and Summation Notation 8.2 Arithmetic Sequences and Series 8.3 Geometric Sequences and Series 8.4 Mathematical Induction 8.5 The Binomial Theorem 8.6 Permutations and Combinations 8.7 Introduction to Probability