Precalculus : mathematics for calculus /
Stewart, James, 1941-
Precalculus : mathematics for calculus / James Stewart, Lothar Redlin, Saleem Watson. - Fourth edition. - xxix, 959, 82 pages : illustrations (some colour) ; 25 cm + 1 computer disc (12 cm)
Includes index. Accompanied by: 1 computer disc (CD-ROM)
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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- Fractions -- Systems of Inequalities -- Review -- Test -- Focus on Modeling: Linear Programming -- 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 -- 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 -- 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. 1. 2. 3. 4. 5. 6. 7. 8. 9. Part ial. 10. 11. 12.
0534385419 9780534385415
2001043621
Mathematics.
QA39.3 / .S74 2002
510
Precalculus : mathematics for calculus / James Stewart, Lothar Redlin, Saleem Watson. - Fourth edition. - xxix, 959, 82 pages : illustrations (some colour) ; 25 cm + 1 computer disc (12 cm)
Includes index. Accompanied by: 1 computer disc (CD-ROM)
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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- Fractions -- Systems of Inequalities -- Review -- Test -- Focus on Modeling: Linear Programming -- 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 -- 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 -- 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. 1. 2. 3. 4. 5. 6. 7. 8. 9. Part ial. 10. 11. 12.
0534385419 9780534385415
2001043621
Mathematics.
QA39.3 / .S74 2002
510