College Algebra and Trigonometry

Contents Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Chapter Test. P. Preliminary Concepts P.1 The Real Number System P.2 Intervals, Absolute Value, and Distance P.3 Integer and Rational Number Exponents P.4 Polynomials P.5 Factoring P.6 Rational Expressions Exploring Concepts with Technology: Can You Trust Your Calculator? 1. Equations and Inequalities Linear Equations Formulas and Applications Quadratic Equations Other Types of Equations Inequalities Variation and Applications Exploring Concepts with Technology: The Mandelbrot Replacement Procedure 2. Functions and Graphs A Two-Dimensional Coordinate System and Graphs Introduction to Functions Linear Functions Quadratic Functions Properties of Graphs The Algebra of Functions Modeling Data Using Regression Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator 3. Polynomial and Rational Functions Polynomial Division and Synthetic Division Polynomial Functions Zeros of Polynomial Functions The Fundamental Theorem of Algebra Rational Functions and Their Graphs Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica 4. Exponential and Logarithmic Functions Inverse Functions Exponential Functions and Their Graphs Logarithms Functions and Their Graphs Properties of Logarithms Exponential and Logarithmic Equations Applications of Exponential and Logarithmic Functions Modeling Data with Exponential and Logarithmic Functions Exploring Concepts with Technology: Using a Semi-Log Graph to Model Exponential Decay 5. Trigonometric Functions Angles and Arcs Trigonometric Functions of Acute Angles Trigonometric Functions of Any Angle Trigonometric Functions of Real Numbers Graphs of the Sine and Cosine Functions Graphs of the Other Trigonometric Functions Graphing Techniques Harmonic Motion--An Application of the Sine and Cosine Functions Exploring Concepts with Technology: Sinusoidal Families 6. Trigonometric Identities and Equations Verification of Trigonometric Identities Sum, Difference, and Cofunction Identities Double- and Half-Angle Identities Identities Involving the Sum of Trigonometric Functions Inverse Trigonometric Functions Trigonometric Equations Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials 7. Applications of Trigonometry The Law of Sines The Law of Cosines and Area Vectors Trigonometric Form of Complex Numbers De Moivre's Theorem Exploring Concepts with Technology: Optimal Branching of Arteries 8. Topics in Analytic Geometry Parabolas Ellipses Hyperbolas Rotation of Axes Introduction to Polar Coordinates Polar Equations of the Conics Parametric Equations Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z 9. Systems of Equations Systems of Linear Equations in Two Variables Systems of Linear Equations in More Than Two Variables Nonlinear Systems of Equations Partial Fractions Inequalities in Two Variables and Systems of Inequalities Linear Programming Exploring Concepts with Technology: Ill-Conditioned Systems of Equations 10. Matrices Gaussian Elimination Method The Algebra of Matrices The Inverse of a Matrix Determinants Cramer's Rule Exploring Concepts with Technology: Stochastic Matrices 11. Sequences, Series, and Probability Infinite Sequences and Summation Notation Arithmetic Sequences and Series Geometric Sequences and Series Mathematical Induction The Binomial Theorem Permutations and Combinations Introduction to Probability Exploring Concepts with Technology: Mathematical Expectation Solutions to Selected Exercises Answers to Odd-Numbered Exercises Glossary IndexAufmann, Richard N. is the author of 'College Algebra and Trigonometry' with ISBN 9780618130689 and ISBN 0618130683.