Modeling, Functions, and Graphs Algebra for College Students (with CD-ROM, Workbook, and InfoTrac),9780534437091

Modeling, Functions, and Graphs Algebra for College Students (with CD-ROM, Workbook, and InfoTrac)

by ;
Edition: CD
ISBN13: 9780534437091
ISBN10: 0534437095
Format: Hardcover
Pub. Date: 2001-12-03
Publisher(s): Brooks Cole
List Price: $336.99

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Summary

Popular with and respected by students interested in a Modeling Approach, Graphing, or Graphing Calculators, this book incorporates the benefits of technology and the philosophy of the reform movement into intermediate algebra. In keeping with the NCTM and AMATYC standards, the authors introduce the techniques of algebra in the context of simple applications. Early and consistent emphasis on functions and graphing helps to develop mathematical models, and graphing calculators are incorporated wherever possible.

Table of Contents

1. Linear Models
Investigation 1. Sales on Commission
Some Examples of Linear Models
Using a Graphing Calculator
Slop 23. Midchapter Review
Investigation 2. The Coefficients in a Linear Equation
Equations of Lines
Lines of Best Fit
Additional Properties of Lines
Chapter Review
2. Applications of Linear Models
Investigation 3. Water Level
Systems of Linear Equations in Two Variables
Solving Systems by Algebraic Methods
Systems of Linear Equations in Three Variables
Midchapter Review
Solving Linear Systems Using Matrices
Linear Inequalities in Two Variables
Chapter Review
3. Quadratic Models
Investigation 4. Falling
Extraction of Roots
Some Examples of Quadratic Models
Investigation 5. Perimeter and Area
Investigation 6. Height of a Baseball
Solving Quadratic Equations by Factoring
Midchapter Review
Graphing Parabolas; Special Cases
Completing the Square
Quadratic Formula
Chapter Review
4. Applications of Quadratic Models
Investigation 7. Revenue from Theatre Tickets
Graphing Parabolas; the General Case
Curve Fitting
Problem Solving
Midchapter Review
Quadratic Inequalities
Solving Quadratic Inequalitites Algebraically
Chapter Review
5. Functions and Their Graphs
Investigation 8. Epidemics
Definitions and Notation
Graphs of Functions
Some Basic Graphs
Investigation 9. Eight Basic Functions
Midchapter Review
Domain and Range
Variation
Functions as Mathematical Models
chapter Review
6. Powers and Roots
Investigation 10. Blowing Up a Balloon
Integer Exponents
Roots and Radicals
Rational Exponents
Midchapter Review
The Distance and Midpoint Formulas
Working with Radicals
Radical Equations
Chapter Review
7. Exponential and Logarithmic Functions
Exponential Growth and Decay
Investigation 11. Population Growth
Investigation 12. Exponential Decay
Exponential Functions
Logarithms
Midchapter Review
Logarithmic Functions
Properties of Logarithms
The Natural Base
Chapter Review
8. Polynomial and Rational Functions
Polynomial Functions
Investigation 13. Polynomials
Graphing Polynomial Functions
Rational Functions
Midchapter Review
Operations on Algebraic Fractions
More Operations on Algebraic Fractions
Equations that Include Algebraic Fractions
Chapter Review
9. Sequences and Series
Investigation 14. Scheduling a Soccer League
Sequences
Arithmetic and Geometric Sequences
Series
Sigma Notation and Infinite Geometric Series
The Binoial Expansion
Investigation 15. Powers of Binomials
Investigation 16. Pascal's Triangle
Investigation 17. Other Properties of Pascal's Triangle
Chapter Review
10. More About Functions
Investigation 18. Transformations of Graphs
Transformations of Functions
Using Function Notation
Inverse Functions
Midchapter Review
More About Modeling
Investigation 19. Periodic Functions
Joint Variation
Chapter Review
11. More About Graphs
Investigation 20. Global Positioning System
Conic Sections
Translated Conics
Systems of Quadratic Equations
Midchapter Review
LInear Programming
Displaying the Data
Chapter Review
APPENDIX A
REVIEW TOPICS
Algebraic Expressions
Linear Equations
Facts from Geometry
Graphs
Laws of Exponents
Products and Factoring
Summarizing Data
APPENDIX B
THE NUMBER SYSTEM
Real Numbers
Complex Numbers
ANSWERS TO ODD NUMBERED PROBLEMS
INDEX

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