- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
When learning mathematics, have you ever asked yourself, "When am I ever going to use this?" If you have--and even if you haven't--this book will help you learn the mathematical concepts behind the procedures, and discover how to apply quantitative thinking in your daily lives. PRECALCULUS: A MAKE IT REAL APPROACH doesn't simply "wrap" a real-world situation around a mathematical concept or procedure. Instead, you'll be immersed in familiar real-world contexts--from parking rates and the higher winter incidence of the flu to Egyptian pyramids--that will help you understand mathematical ideas intuitively. One student commented, "It's like having the teacher standing over my shoulder explaining things to me." With this text as your guide, your comment about precalculus will likely be, "Yes, I get it!"
Contents
1. MATHEMATICAL MODELING, FUNCTIONS, AND CHANGE. Mathematical Modeling. Functions and Function Notation. Functions Represented by Tables and Formulas. Functions Represented by Graphs. Functions Represented by Words. Preview to Inverse Functions. Chapter 1 Review.2. LINEAR FUNCTIONS. Functions with Constant Rates of Change. Modeling with Linear Functions. Linear Regression. Systems of Linear Equations. Systems of Linear Inequalities. Chapter 2 Review.3. TRANSFORMATIONS AND FUNCTIONS. Horizontal and Vertical Shifts. Horizontal and Vertical Reflections. Vertical Stretches and Reflections. Horizontal Stretches and Compressions. Chapter 3 Review.4. QUADRATIC FUNCTIONS. Variable Rates of Change. Modeling with Quadratic Functions. Quadratic Functions, Graphs, and Forms. Chapter 4 Review.5. POLYNOMIAL, POWER, AND RATIONAL FUNCTIONS. Higher-Order Polynomial Function Modeling. Power Functions. Rational Functions. Chapter 5 Review.6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.Percentage Change. Exponential Function Modeling and Graphs. Compound Interest and Continuous Growth. Solving Logarithmic and Exponential Equations. Logarithmic Function Modeling. Chapter 6 Review.Combinations of Functions. Piecewise Functions. Composition of Functions. Logistic Functions. Choosing a Mathematical Model. Chapter 7 Review.8. TRIGONOMETRIC FUNCTIONS. Periodic Functions. Angle Measure (Degrees and Radians). The Unit Circle and Trigonometric Functions. Graphing Sine and Cosine Functions. Modeling with Trigonometric Functions. Other Trigonometric Functions. Inverse Trigonometric Functions. Chapter 8 Review.9. TRIANGLE TRIGONOMETRY AND APPLICATIONS. Right Triangle Trigonometry. Law of Cosines. Law of Sines. Polar Coordinates. Vectors. Chapter 9 Review.10. TRIGONOMETRIC IDENTITIES. Basic Identities. Verifying Identities. Other Trigonometric Identities. Chapter 10 Review.11. CONIC SECTIONS. Slices of a Cone. Ellipses and Circles. Parabolas. Hyperbolas. Chapter 11 Review.12. SEQUENCES AND SERIES. Sequences. Arithmetic and Geometric Sequences. Series. Chapter 12 Review.
