Precalculus
McGraw Hill Higher Education
978-0-07-241220-8 (ISBN)
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"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. This CD tutorial reinforces important concepts, and provides students with extra practice problems.
1 Equations and Inequalities1-1Linear Equations and Applications1-2Systems of Linear Equations and Applications1-3Linear Inequalities1-4Absolute Value in Equations and Inequalities1-5Complex Numbers1-6Quadratic Equations and Applications1-7Equations Reducible to Quadratic Form1-8Polynomial and Rational InequalitiesChapter 1 Group Activity: Rates of ChangeChapter 1 Review2 Graphs and Functions2-1Basic Tools: Circles2-2Straight Lines2-3Functions2-4Graphing Functions2-5Combining Functions2-6Inverse FunctionsChapter 2 Group Activity: Mathematical Modeling in BusinessChapter 2 Review1&2 Cumulative Review Exercise3 Polynomials and Rational Functions3-1Polynomial Functions and Graphs3-2Finding Rational Zeros of Polynomials3-3Approximating Real Zeros of Polynomials3-4Rational Functions3-5Partial FunctionsChapter 3 Group Activity: Interpolating PolynomialsChapter 3 Review4 Exponential and Logarithmic Functions4-1Exponential Functions4-2The Exponential Function with Base e4-3Logarithmic Functions4-4Common and Natural Logarithmic Functions4-5Exponential and Logarithmic EquationsChapter 4 Group Activity: Growth of Increasing FunctionsChapter 4 Review3&4 Cumulative Review Exercises5 Trigonometric Functions5-1The Wrapping Function5-2Circular Functions5-3Angles and Their Measure5-4Trigonometric Functions5-5Solving Right Triangles5-6Graphing Basic Trigonometric Functions5-7Graphing y = k+A sin (Bx+C) and y=k+A cos (Bx+C)5-8Graphing More General Tangent, cotangent, Secant, and Cosec5-9Inverse Trigonometric FunctionsChapter 5 Group Activity: A predator - Prey Analysis - Mountain LChapter 5 Review6 Trigonometric Identities and Conditional Equations6-1Basic Identifies and Their Use6-2Sum, Difference, and Cofunction Identifies6-3Double-Angle and Half-Angle Identifies6-4Product-Sum and Sum-Product Identifies6-5Trigonometric EquationsChapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt +C)Chapter 6 Review7 Additional Topics in Trigonometry7-1Law of Sines7-2Law of Cosines7-3Geometric Vectors7-4Algebraic Vectors7-5Polar Coordinates and Graphs7-6Complex Numbers in Rectangular and Polar Forms7-7De Moivre's TheoremChapter 7 Group Activity: Conic Sections and Planetary OrbitsChapter 7 Review5,6,&7 Cumulative Review Exercise8 Systems of Equations and Inequalities8-1Systems of Linear Equations and Augmented Matrices8-2Gauss-Jordan Elimination8-3Systems Involving Second-Degree Equations8-4Systems of Linear Inequalities in Two Variables8-5Linear ProgrammingChapter 8 Group Activity: Modeling with Systems of EquationsChapter 8 Review9 Matrices and Determinants9-1Matrices: Basic Operations9-2Inverse of a Square Matrix9-3Matrix Equations and Systems of Linear Equations9-4Determinants9-5Properties of Determinants9-6Cramer'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 ABasic Algebraic OperationsA-1Algebra and Real NumbersA-2Polynomials: Basic OperationsA-3Polynomials: FactoringA-4Rational Expressions: Basic OperationsA-5Integer ExponentsA-6Rational ExponentsA-7RadicalsAppendix A Group Activity: Rational Number RepresentationsAppendix A ReviewAppendix BSignificant DigitsAppendix CGeometric Formulas
| Erscheint lt. Verlag | 10.8.2000 |
|---|---|
| Verlagsort | London |
| Sprache | englisch |
| Maße | 203 x 254 mm |
| Gewicht | 2066 g |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| ISBN-10 | 0-07-241220-8 / 0072412208 |
| ISBN-13 | 978-0-07-241220-8 / 9780072412208 |
| Zustand | Neuware |
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