Synopses & Reviews
The Barnett, Ziegler, Byleen College Algebra/Precalculus series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. Precalculus, 5/e, introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trigonometry or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept that is being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. The CD tutorial reinforces important concepts, and provides students with extra practice problems.
Table of Contents
1 Equations and Inequalities1-1 Linear Equations and Applications1-2 Systems of Linear Equations and Applications1-3 Linear Inequalities1-4 Absolute Value in Equations and Inequalities1-5 Complex Numbers1-6 Quadratic Equations and Applications1-7 Equations Reducible to Quadratic Form1-8 Polynomial and Rational InequalitiesChapter 1 Group Activity: Rates of ChangeChapter 1 Review2 Graphs and Functions2-1 Basic Tools: Circles2-2 Straight Lines2-3 Functions2-4 Graphing Functions2-5 Combining Functions2-6 Inverse FunctionsChapter 2 Group Activity: Mathematical Modeling in BusinessChapter 2 Review1&2 Cumulative Review Exercise3 Polynomials and Rational Functions3-1 Polynomial Functions and Graphs3-2 Finding Rational Zeros of Polynomials3-3 Approximating Real Zeros of Polynomials3-4 Rational Functions3-5 Partial FunctionsChapter 3 Group Activity: Interpolating PolynomialsChapter 3 Review4 Exponential and Logarithmic Functions4-1 Exponential Functions4-2 The Exponential Function with Base e4-3 Logarithmic Functions4-4 Common and Natural Logarithmic Functions4-5 Exponential and Logarithmic EquationsChapter 4 Group Activity: Growth of Increasing FunctionsChapter 4 Review3&4 Cumulative Review Exercises5 Trigonometric Functions5-1 The Wrapping Function5-2 Circular Functions5-3 Angles and Their Measure5-4 Trigonometric Functions5-5 Solving Right Triangles5-6 Graphing Basic Trigonometric Functions5-7 Graphing y = k+A sin (Bx+C) and y=k+A cos (Bx+C)5-8 Graphing More General Tangent, cotangent, Secant, and Cosec5-9 Inverse Trigonometric FunctionsChapter 5 Group Activity: A predator - Prey Analysis - Mountain LChapter 5 Review6 Trigonometric Identities and Conditional Equations6-1 Basic Identifies and Their Use6-2 Sum, Difference, and Cofunction Identifies6-3 Double-Angle and Half-Angle Identifies6-4 Product-Sum and Sum-Product Identifies6-5 Trigonometric EquationsChapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt +C)Chapter 6 Review7 Additional Topics in Trigonometry7-1 Law of Sines7-2 Law of Cosines7-3 Geometric Vectors7-4 Algebraic Vectors7-5 Polar Coordinates and Graphs7-6 Complex Numbers in Rectangular and Polar Forms7-7 De Moivre's TheoremChapter 7 Group Activity: Conic Sections and Planetary OrbitsChapter 7 Review5,6,&7 Cumulative Review Exercise8 Systems of Equations and Inequalities8-1 Systems of Linear Equations and Augmented Matrices8-2 Gauss-Jordan Elimination8-3 Systems Involving Second-Degree Equations8-4 Systems of Linear Inequalities in Two Variables8-5 Linear ProgrammingChapter 8 Group Activity: Modeling with Systems of EquationsChapter 8 Review9 Matrices and Determinants9-1 Matrices: Basic Operations9-2 Inverse of a Square Matrix9-3 Matrix Equations and Systems of Linear Equations9-4 Determinants9-5 Properties of Determinants9-6 Cramer's RuleChapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and ProfitChapter 9 Review8&9 Cumulative Review Exercise10 Sequences and Series10-1 Sequences and Series10-2 Mathematical Induction10-3 Arithmetic and Geometric Sequences10-4 Binomial Formula10-5 Multiplication Principle, Permutations, and CombinationsChapter 10 Group Activity: Sequences Specified by RecursionChapter 10 Review11 Additional Topics in Analytic Geometry11-1 Conic Sections; Parabola11-2 Ellipse11-3 Hyperbola11-4 Translation of Axes11-5 Parametric EquationsChapter 11 Group Activity: Focal ChordsChapter 11 Review10&11 Cumulative Review ExerciseAppendix A Basic Algebraic OperationsA-1 Algebra and Real NumbersA-2 Polynomials: Basic OperationsA-3 Polynomials: FactoringA-4 Rational Expressions: Basic OperationsA-5 Integer ExponentsA-6 Rational ExponentsA-7 RadicalsAppendix A Group Activity: Rational Number RepresentationsAppendix A ReviewAppendix B Significant DigitsAppendix C Geometric Formulas