Functions and Change A Modeling Approach to College Algebra and Trigonometry
- ISBN13:
9780618858040
- ISBN10:
0618858040
- Edition: 1st
- Format: Hardcover
- Copyright: 2007-02-12
- Publisher: Cengage Learning
- More Book Details
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Supplemental Materials
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- The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.
Summary
Intended for precalculus courses requiring a graphing calculator, Functions and Change emphasizes the application of mathematics to real problems students encounter each day. Applications from a variety of disciplines, including Astronomy, Biology, and the Social Sciences, make concepts interesting for students who have difficulty with more theoretical coverage of mathematics. In addition to these meaningful applications, the authors' easy-to-read writing style allows students to see mathematics as a descriptive problem-solving tool. An extended version of the successful Functions and Change: A Modeling Approach to College Algebra, this text includes three chapters of trigonometry.
Table of Contents
| Prologue: Calculator Arithmetic Typing Mathematical Expressions Rounding Parentheses and Grouping Minus Signs Special Numbers pi and e Chain Calculations Scientific Notation | |
| Functions | |
| Functions Given by Formulas | |
| Functions Given by Tables | |
| Functions Given by Graphs | |
| Functions Given by Words | |
| Graphical and Tabular Analysis | |
| Tables and Trends | |
| Graphs | |
| Solving Linear Equations | |
| Solving Nonlinear Equations | |
| Optimization | |
| Straight Lines and Linear Functions | |
| The Geometry of Lines | |
| Linear Functions | |
| Modeling Data with Linear Functions | |
| Linear Regression | |
| Systems of Equations | |
| Exponential Functions | |
| Exponential Growth and Decay | |
| Modeling Exponential Data | |
| Modeling Nearly Exponential Data | |
| Logarithmic Functions | |
| Connecting Exponential and Linear Data | |
| A Survey of Other Common Functions | |
| Power Functions | |
| Modeling Data with Power Functions | |
| Combining and Decomposing Functions | |
| Quadratic Functions and Parabolas | |
| Higher-degree Polynomials and Rational Functions | |
| The Geometry of Right Triangles | |
| Sides of Right Triangles | |
| Angles | |
| Right Triangle Trigonometry | |
| Periodic Functions | |
| Trigonometric Functions as Periodic Functions | |
| Modeling with Periodic Functions | |
| Modeling Periodic Data | |
| Relationships Among Trigonometric Functions | |
| Trigonometric Identities | |
| Laws of Sines and Cosines | |
| Inverse Trigonometric Functions | |
| Complex Numbers and De Moivre's Theorem | |
| Rates of Change | |
| Velocity | |
| Rates of Change for Other Functions | |
| Estimating Rates of Change | |
| Equations of Change: Linear and Exponential Functions | |
| Equations of Change: Graphical Solutions | |
| Mathematics of Population Ecology | |
| Population dynamics: Exponential Growth | |
| Population dynamics: Logistic Growth | |
| Population structure: Survivorship Curves | |
| Table of Contents provided by Publisher. All Rights Reserved. |
