"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. "College Algebra with Trigonometry, 7/e", introduces a right triangle 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. This CD tutorial reinforces important concepts, and provides students with extra practice problems.
Auflage
Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Editions-Typ
Maße
Höhe: 254 mm
Breite: 203 mm
Dicke: 35 mm
Gewicht
ISBN-13
978-0-07-241217-8 (9780072412178)
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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 Polynomials 4-3 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