TY - BOOK AU - Stewart,James AU - Watson,Saleem TI - Precalculus: mathematics for calculus SN - 0534385419 AV - QA39.3 .S74 2002 U1 - 510 21 PY - 2002///] CY - Australia, Pacific Grove, CA PB - Brooks/Cole KW - Mathematics N1 - Includes index; Accompanied by: 1 computer disc (CD-ROM); 1; Fundamentals --; Overview --; Real Numbers --; Exponents and Radicals --; Algebraic Expressions --; Discovery Project: Visualizing a Formula --; Fractional Expressions --; Equations --; Modeling with Equations --; Discovery Project: Equations through the Ages --; Inequalities --; Coordinate Geometry --; Graphing Calculators: Solving Equations and Inequalities Graphically --; Lines --; Modeling Variation --; Review --; Test --; Focus on Problem Solving: General Principles --; 2; Functions --; Overview --; What is a Function? Graphs of Functions --; Discovery Project: Relations and Functions --; Increasing and Decreasing Functions: Average Rate of Change --; Transformations of Functions --; Quadratic Functions: Maxima and Minima --; Modeling with Functions --; Combining Functions --; Discovery --; Project: Iteration and Chaos --; One-to-One Functions and Their Inverses Review --; Test --; Focus on Modeling: Fitting Lines to Data --; 3; Polynomial and Rational Functions --; Overview --; Polynomial Functions and Their Graphs --; Dividing Polynomials --; Real Zeros of Polynomials --; Discovery Project: Zeroing in on a Zero --; Complex Numbers --; Complex Zeros and the Fundamental Theorem of Algebra --; Rational Functions --; Review --; Test --; Focus on Modeling: Fitting Polynomials to Data --; 4; Exponential and Logarithmic Functions --; Overview --; Exponential Functions --; Discovery Project: Exponential Explosion --; Logarithmic Functions --; Laws of Logarithms --; Exponential and Logarithmic Equations --; Modeling with Exponential and Logarithmic Functions --; Review --; Test --; Focus on Modeling: Fitting Exponential and Power Curves to Data --; 5; Trigonometric Functions of Real Numbers --; Overview --; The Unit Circle --; TrigonometricFunctions of Real Numbers --; Trigonometric Graphs --; Discovery Project: Predator-Prey Models --; More Trigonometric Graphs --; Modeling Harmonic Motion --; Review --; Test --; Focus on Modeling: Fitting Sinusoidal Curves to Data --; 6; Trigonometric Functions of Angles --; Overview --; Angle Measure --; Trigonometry of Right Triangles --; Discovery Project: Similarity --; Trigonometric Functions of Angles --; The Law of Sines --; The Law of Cosines --; Review --; Test --; Focus on Modeling:Surveying --; 7; Analytic Trigonometry --; Overview --; Trigonometric Identities --; Addition and Subtraction Formulas --; Double-Angle, Half-Angle, and Sum-Product Identities --; Inverse Trigonometric Functions --; Discovery Project: Where to Sit at the Movies --; Trigonometric Equations --; Review --; Test --; Focus on Modeling: Traveling and Standing Waves --; 8; Polar Coordinates and Vectors --; Overview --; Polar Coordinates --; Graphs of Polar Equations --; Polar Form of Complex Numbers --; DeMoivre's Theorem --; Discovery Project: Fractals --; Vectors --; The Dot Product --; Discovery Project: Sailing Against the Wind --; Review --; Test --; Focus on Modeling: Mapping the World --; 9; Systems of Equations and Inequalities --; Overview --; Systems of Equations --; Systems of Linear Equations in Two Variables --; Systems of Linear Equations in Several Variables --; Discovery Project: Best Fit versus Exact Fit --; Systems of Linear Equations: Matrices --; The Algebra of Matrices --; Discovery Project: Will the Species Survive? Inverses of Matrices and Matrix Equations --; Discovery Project: Computer Graphics I --; Determinants and Cramer's Rule --; Part ial; Fractions --; Systems of Inequalities --; Review --; Test --; Focus on Modeling: Linear Programming --; 10; Analytic Geometry --; Overview --; Parabolas --; Ellipses --; Hyperbolas --; Discovery Project: Conics in Architecture Shifted Conics --; Rotation of Axes --; Discovery Project: Computer Graphics II --; Polar Equations of Conics --; Plane Curves and Parametric Equations --; Review --; Test --; Focus on Modeling: The Path of a Projectile --; 11; Sequences and Series --; Overview --; Sequences and Summation Notation --; Arithmetic Sequences --; Geometric Sequences --; Discovery Project: Finding Patterns --; Mathematical Finance --; Mathematical Induction --; The Binomial Theorem --; Review --; Test --; Focus on Modeling: Modeling with Recursive Sequences --; 12; Limits: A Preview of Calculus --; Overview --; Finding Limits Numerically and Graphically --; Finding Limits Algebraically --; Tangent Lines and Derivatives --; Discovery Project: Designing a Roller Coaster --; Limits at Infinity: Limits of Sequences --; Areas ER -