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Precalculus
ISBN: 9780073312637 | 0073312630
Edition: 6thFormat: Hardcover
Publisher: McGraw-Hill Science/Engineering/Math
Pub. Date: 2/9/2007
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The Barnett, Ziegler, Byleen College Algebra 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 introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, 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 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 reinforces important concepts, and provides students with extra practice problems.
| Basic Algebraic Operations | |
| Algebra and Real Numbers | |
| Exponents | |
| Radicals | |
| Polynomials: Basic Operations | |
| Polynomials: Factoring | |
| Rational Expressions: Basic Operations | |
| Review | |
| Group Activity: Rational Number Representations | |
| Equations and Inequalities | |
| Linear Equations and Applicati... MORE | |
| Linear Inequalities | |
| Absolute Value | |
| Complex Numbers | |
| Quadratic Equations and Applications | |
| Equations Involving Radicals | |
| Review | |
| Group Activity: Solving a Cubic Equation | |
| Graphs | |
| Cartesian Coordinate system | |
| Distance in the Plane | |
| Equations of a line | |
| Linear Equations and Models | |
| Review | |
| Group Activity: Rates of Change | |
| Functions | |
| Functions | |
| Graphing Functions | |
| Transformations of Functions | |
| Quadratic Functions | |
| Combining Functions; Composition | |
| Inverse Functions | |
| Review | |
| Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan Chapters | |
| Cumulative Review Exercises | |
| Polynomials and Rational Functions | |
| Polynomial Functions and Models | |
| Real Zeros and Polynomial Inequalities | |
| Complex Zeros and Rational Zeros of Polynomials | |
| Rational Functions and Inequalities | |
| Variation and Modeling | |
| Review | |
| Group Activity: Interpolating Polynomials | |
| Exponential and Logarithmic Functions | |
| Exponential Functions | |
| Exponential Models | |
| Logarithmic Functions | |
| Logarithmic Models | |
| Exponential and Logarithmic Equations | |
| Review | |
| Group Activity: Growth of Increasing Functions Chapters | |
| Cumulative Review Exercises | |
| Trigonometric Functions | |
| Angles and Their Measure | |
| Trigonometric Functions: A Unit Circle Approach | |
| Solving Right Triangles | |
| Trigonometric Functions: Properties and Graphs | |
| More General Trigonometric Functions | |
| Inverse Trigonometric Functions | |
| Review | |
| Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer | |
| Trigonometric Identities and Conditional Equations | |
| Basic Identities and Their Use | |
| Sum, Difference, and Cofunction Identities | |
| Double-Angle and Half-Angle Identities | |
| Product-Sum and Sum-Product Identities | |
| Trigonometric Equations | |
| Review | |
| Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis Tool | |
| Additional Topics in Trigonometry | |
| Law of Sines | |
| Law of Cosines | |
| Vectors in the Plane | |
| Polar Coordinates and Graphs | |
| Complex Numbers and De Moivre's Theorem | |
| Review | |
| Group Activity: Conic Sections and Planetary Orbits Chapters | |
| Cumulative Review Exercises | |
| Additional Topics in Analytic Geometry | |
| Conic Sections; Parabolas | |
| Ellipses | |
| Hyperbolas | |
| Rotation of Axes | |
| Review | |
| Group Activity: Focal Chords | |
| Systems of Equations and Inequalities; Matrices | |
| Systems of Linear Equations: Graphing and Substitution | |
| Systems of Linear Equations: Elimination | |
| Systems of Linear Equations: Gauss-Jordan Elimination | |
| Matrices: Basic Operations | |
| Systems of Linear Equations: Matrix Inverse Methods | |
| Systems of Nonlinear Equations | |
| Systems of Linear Inequalities in Two Variables | |
| Linear Programming | |
| Review | |
| Group Activity: Modeling With Systems of Linear Equations | |
| Sequences and Series | |
| Sequences and Series | |
| Mathematical Induction | |
| Arithmetic and Geometric Sequences | |
| Counting Techniques: Multiplication Principle, Permutations, and Combinations | |
| Sample Spaces and Probability | |
| Binomial Formula | |
| Review | |
| Group Activity: Sequences Specified by Recursion Formulas Chapters | |
| Cumulative Review Exercises | |
| Special Topics | |
| Scientific Notation and Significant Digits | |
| Partial Fractions | |
| Parametric Equations | |
| Geometric Formulas | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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