Precalculus : Graphs and Models
ISBN: 9780077221294 | 007722129X
Edition: 3rdFormat: Hardcover
Publisher: McGraw-Hill Science/Engineering/Math
Pub. Date: 2/29/2008
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TheBarnett Graphs & Modelsseries in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes.A hallmark of the Barnett series, the function concept se... MORE
| Graphs and Models | |
| Functions, graphs, and models | |
| Using Graphing Utilities | |
| Functions | |
| Functions | |
| Graphs and Properties | |
| 1-4 | |
| Graphs and Transformations | |
| Operations on Functions; Composition | |
| Inverse Functions | |
| Review | |
| Group Activity | |
| ... MORE | |
| Modeling with linear and quadratic functions | |
| Linear Functions | |
| Linear Equations and Models | |
| Quadratic Functions | |
| Complex Numbers | |
| Quadratic Equations and Models | |
| Additional Equation Solving Techniques | |
| Solving Inequalities | |
| Review | |
| Group Activity | |
| Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters | |
| and 2 | |
| Polynomial and rational functions | |
| Polynomial Functions And Models | |
| Polynomial Division | |
| Real Zeros and Polynomial Inequalities | |
| Complex Zeros and Rational Zeros of Polynomials | |
| Rational Functions and Inequalities | |
| Variation and Modeling | |
| Review | |
| Group Activity | |
| Interpolating Polynomials | |
| Modeling with exponential and logarithmic functions | |
| Exponential Functions | |
| Exponential Models | |
| Logarithmic Functions | |
| Logarithmic Models | |
| Exponential and Logarithmic Equations | |
| Review | |
| Group Activity | |
| Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4 | |
| Trigonometric functions | |
| Angles and Their Measure | |
| Trigonometric Functions | |
| A Unit Circle Approach | |
| Solving Right Triangles | |
| Properties of Trigonometric Functions | |
| More General Trigonometric Functions and and Models | |
| 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 Cumulative Review Exercise for Chapters 5, 6, and 7 | |
| Modeling with systems of equations and inequalities | |
| Systems of Linear Equations in Two Variables | |
| Systems of Linear Equations in Three Variables | |
| Systems of Linear Inequalities | |
| Linear Programming | |
| Review | |
| Group Activity | |
| Modeling with Systems of Equations | |
| Matrices and determinants | |
| Matrix Solutions to Linear Systems | |
| Matrix Operations | |
| Inverse of a Square Matrix | |
| Matrix Equations and Systems of Linear Equations | |
| Determinants | |
| Properties of Determinants | |
| Determinants and Cramer's Rule | |
| Review | |
| Group Activity | |
| Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters8 and 9 | |
| SEquences, induction, probability | |
| Sequences and Series | |
| Mathematical Induction | |
| Arithmetic and Geometric Sequences | |
| Multiplication Principle, Permutations, and Combinations | |
| Sample Spaces and Probability | |
| Binomial Formula | |
| Review | |
| Group Activity | |
| Sequences Specified by Recursion Formulas | |
| ADDITIONAL TOPICS IN ANALYTIC GEOMETRY | |
| Conic Sections; Parabola | |
| Ellipse | |
| Hyperbola | |
| Translation and Rotation of Axes | |
| Systems of Nonlinear Equations | |
| Review Chapte | |
| Table of Contents provided by Publisher. All Rights Reserved. |
