Well over 100,000 students have learned precalculus from a Barnett series textbook. Ray Barnett is one of the masters of college textbook authoring. His central approach is proven and remains effective for today's students. The Barnett series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, essential ideas, and problem solving rather than mathematical theory. Completely worked examples are used to introduce concepts and to demonstrate problem-solving techniques. These examples are followed by similar matched problems for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes.Another hallmark of the Barnett series, the function concept, is a unifying theme. A brief look at the table of contents will reveal this emphasis. A major objective of this book is the development of a library of elementary functions, including their important properties and uses. Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding.
Auflage
Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 229 mm
Breite: 203 mm
Dicke: 40 mm
Gewicht
ISBN-13
978-0-07-111127-0 (9780071111270)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
PrefaceChapter DependenciesTo the Student1 Basic Algebraic Operations1-1 Algebra & Real Numbers1-2 Polynomials: Basic Operations1-3 Polynomials: Factoring1-4 Rational Expressions: Basic Operations1-5 Integer Exponents1-6 Rational Exponents1-7 RadicalsChapter 1 Review2 Equations and Inequalities2-1 Linear Equations & Applications 2-2 Systems of Linear Equations & Applications 2-3 Linear Inequalities2-4 Absolute Value in Equations and Inequalities2-5 Complex Numbers2-6 Quadratic Equations & Applications 2-7 Equations Reducible to Quadratic Form2-8 Polynomial & Rational InequalitiesChapter 2 Review1&2 Cumulative Review Exercises3 Graphs and Functions3-1 Basic Tools: Circles3-2 Straight Lines3-3 Functions3-4 Graphing Functions 3-5 Operations on Functions: Composition3-6 Inverse Functions Chapter 3 Review4 Polynomial and Rational Functions4-1 Graphing Polynomials4-2 Zeros of Polynomials4-3 Graphing Rational Functions 4-4 Partial FunctionsChapter 4 Review5 Exponential and Logarithmic Functions5-1 Exponential Functions5-2 The Exponential Function With Base e5-3 Logarithmic Functions5-4 Common and Natural Logarithmic Functions5-5 Exponential & Logarithmic EquationsChapter 5 ReviewCumulative Review Exercise (chapter 3-5)6 Trigonometric Functions6-1 Angles and Their Measure6-2 Trigonometric Functions - Acute Angle Domains6-3 Trigonometric Functions - General Angle and Real Number6-4 Exact Values for Special Angles and Real Numbers6-5 Circular Functions6-6 Graphing Basic Trigonometric Functions6-7 Graphing y= k + A sin(Bx+C) and y= k + A cos(Bx + C)6-8 Graphing More General Tangent, Cotangent, Secant and Cosecant Functions 6-9 Inverse Trigonometric FunctionsChapter 6 Review7 Trigonometric Identities and Conditional Equations7-1 Basic Identities and Their Use7-2 Sum, Difference, and Cofunction Identities7-3 Double-Angle and Half-Angle Identities7-4 Product-Sum and Sum-Product Identities7-5 Trigonometric Equations Chapter 7 Review8 Additional Topics in Trigonometry8-1 Law of Sines8-2 Law of Cosines8-3 Geometric Vectors8-4 Algebraic Vectors8-5 Polar Coordinates and Graphs 8-6 Complex Numbers in Rectangular and Polar Forms8-7 De Moivre's TheoremChapter 8 ReviewCumulative Review Exercises (Chapters 6-8)9 Systems of Equations and Inequalities9-1 Systems of Linear Equations and Augmented Matrices 9-2 Gauss-Jordan Elimination9-3 Systems Involving Second-Degree Equations9-4 Systems of Linear Inequalities in Two Variables9-5 Linear ProgrammingChapter 9 Review10 Matrices and Determinants10-1 Matrices: Basic Operations 10-2 Inverse of a Square Mix10-3 Matrix Equations and Systems of Linear Equations10-4 Determinants10-5 Properties of Determinants10-6 Cramer's RuleChapter 10 ReviewCumulative Review Exercise (Chapters 9 and 10)11 Sequences and Series11-1 Sequences and Series11-2 Mathematical Induction11-3 Arithmetic & Geometric Sequences 11-4 Binomial Formula11-5 Multiplication Principles, Permutations, and Combinations Chapter 11 Review12 Additional Topics in Analytic Geometry12-1 Conic Sections: Parabola12-2 Ellipse12-3 Hyperbola12-4 Translation of Axes12-5 Parametric Equations Chapter 12 ReviewAppendix A:Significant DigitsAppendix B:Geometric Formulas
