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James Stewart, the author of the worldwide best-selling calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this book to address a problem they frequently saw in their calculus courses. Many students were not prepared to "think mathematically" but attempted to memorize facts and mimic examples. ALGEBRA AND TRIGONOMETRY was designed specifically to help readers learn to think mathematically and to develop true problem-solving skills. Patient, clear, and accurate, the text consistently illustrates how useful and applicable mathematics is to real life. The new book follows the successful approach taken in the authors' previous books, COLLEGE ALGEBRA, Third Edition, and PRECALCULUS, Third Edition.
1. BASIC ALGEBRA What Is Algebra? / Real Numbers / Exponents and Radicals / Algebraic Expressions / Fractional Expressions / Basic Equations / Chapter 1 Review / Chapter 1 Test / Principles of Problem Solving 2. COORDINATES AND GRAPHS The Coordinate Plane / Graphs of Equations / Graphing Calculators and Computers / Lines / Chapter 2 Review / Chapter 2 Test / Principles of Modeling 3. EQUATIONS AND INEQUALITIES Algebraic and Graphical Solutions of Equations / Modeling with Equations / Quadratic Equations / Complex Numbers / Other Equations / Linear Inequalities / Nonlinear Inequalities / Absolute Value / Chapter 3 Review / Chapter 3 Test / Focus on Problem Solving 4. FUNCTIONS What Is a Function? / Graphs of Functions / Applied Functions: Variation / Average Rate of Change: Increasing and Decreasing Functions / Transformations of Functions / Extreme Values of Functions / Combining Functions / One-to-One Functions and Their Inverses / Chapter 4 Review / Chapter 4 Test / Focus on Modeling 5. POLYNOMIAL AND RATIONAL FUNCTIONS Polynomial Functions and Their Graphs / Dividing Polynomials / Real Zeros of Polynomials / The Fundamental Theorem of Algebra / Rational Functions / Chapter 5 Review / Chapter 5 Test / Focus on Problem Solving 6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS Exponential Functions / The Natural Exponential Function / Logarithmic Functions / Laws of Logarithms / Exponential and Logarithmic Equations / Applications of Exponential and Logarithmic Functions / Chapter 6 Review / Chapter 6 Test / Focus on Modeling 7. TRIGONOMETRIC FUNCTIONS OF ANGLES Angle Measure / Trigonometry of Right Triangles / Trigonometric Function of Angles / The Law of Sines / The Law of Cosines / Chapter 7 Review / Chapter 7 Test / Focus on Problem Solving 8. TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS The Unit Circle / Trigonometric Functions of Real Numbers / Trigonometric Graphs / More Trigonometric Graphs / Chapter 8 Review / Chapter 8 Test / Focus on Modeling 9. ANALYTIC TRIGONOMETRY Trigonometric Identities / Addition and Subtraction Formulas / Double-Angle, Half-Angle, and Product-Sum Formulas / Inverse Trigonometric Functions / Trigonometric Equations / Trigonometric Form of Complex Numbers; DeMoivre'''s Theorem / Vectors / The Dot Product / Chapter 9 Review / Chapter 9 Test / Focus on Problem Solving 10. SYSTEMS OF EQUATIONS AND INEQUALITIES Systems of Equations / Pairs of Lines / Systems of Linear Equations / The Algebra of Matrices / Inverses of Matrices and Matrix Equations / Determinants and Cramer'''s Rule / Systems of Inequalities / Partial Fractions / Chapter 10 Review / Chapter 10 Test / Focus on Modeling 11. TOPICS IN ANALYTIC GEOMETRY Parabolas / Ellipses / Hyperbolas / Shifted Conics / Rotation of Axes / Polar Coordinates / Polar Equations of Conics / Parametric Equations / Chapter 11 Review / Chapter 11 Test / Focus on Modeling 12. SEQUENCES AND SERIES Sequences and Summation Notation / Arithmetic Sequences / Geometric Sequences / Annuities and Installment Buying / Mathematical Induction / The Binomial Theorem / Chapter 12 Review / Chapter 12 Test / Focus on Problem Solving 13. COUNTING AND PROBABILITY Counting Principles / Permutations and Combinations / Probability / Expected Value / Chapter 13 Review / Chapter 13 Test / Focus on Modeling / ANSWERS TO ODD-NUMBERED EXERCISES AND CHAPTER TESTS / INDEX
Posted January 3, 2013
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