Functions and Change A Modeling Approach to College Algebra and Trigonometry

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  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2007-02-12
  • Publisher: Cengage Learning

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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 Given by Formulas
Functions Given by Tables
Functions Given by Graphs
Functions Given by Words
Graphical and Tabular Analysis
Tables and Trends
Solving Linear Equations
Solving Nonlinear Equations
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
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
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
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