9780495387893

College Algebra Concepts and Contexts

by ; ; ;
  • ISBN13:

    9780495387893

  • ISBN10:

    0495387894

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 1/5/2010
  • Publisher: Cengage Learning
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Summary

This book bridges the gap between traditional and reform approaches to algebra encouraging users to see mathematics in context. It presents fewer topics in greater depth, prioritizing data analysis as a foundation for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical concepts as well as connecting mathematics to real life situations drawn from the users' majors.

Table of Contents

Data, Functions, and Models
Making Sense of Data
Visualizing Relationships in Data
Equations: Describing Relationships in Data
Functions: Describing Change
Function Notation: The Concept of Function as a Rule
Working with Functions: Graphs and Graphing Calculators
Working with Functions: Getting Information from the Graph
Working with Functions: Modeling Real-World Relationships
Making and Using Formulas
Concept Check and Review
Bias in Presenting Data
Collecting and Analyzing Data
Every Graph Tells a Story
Linear Functions and Models
Working with Functions: Average Rate of Change
Linear Functions: Constant Rate of Change
Equations of Lines: Making Linear Models
Varying the Coefficients: Direct Proportionality
Linear Regression: Fitting Lines to Data
Linear Equations: Getting Information from a Model
Linear Equations: Where Lines Meet
Concept Check and Review
When Rates of Change
Linear Patterns
Bridge Science
Correlation and Causation
Fair Division of Assets
Exponential Functions and Models
Exponential Growth and Decay
Exponential Models: Comparing Rates
Comparing Linear and Exponential Growth
Graphs of Exponential Functions
Fitting Exponential Curves to Data
Concept Check and Review
Extreme Numbers: Scientific Notation
So You Want to be a Millionaire?
Linear Patterns
Modeling Radioactivity with Coins and Dice
Logarithms and Exponential Models
Logarithmic Functions
Laws of Logarithms
Logarithmic Scales
The Natural Exponential and Logarithmic Functions
Exponential Equations: Getting Information from Model
Working With Functions: Composition and Inverse
Concept Check and Review
Super Origami
Orders of Magnitude
Semi-Log Graphs
The Even-Tempered Clavier
Quadratic Functions and Models
Working with Functions: Shifting and Stretching
Quadratic Functions and their Graphs
Maxima and Minima: Getting Information from a Model
Quadratic Equations: Getting Information from a Model
Fitting Quadratic Curves to Data
Concept Check and Review
Transformation Stories
Toricelli's Law
Quadratic Patterns
Power, Polynomial, and Rational Functions
Working with Functions: Algebraic Operations
Power Functions: Positive Powers
Polynomial Functions: Combining Power Functions
Fitting Power and Polynomial Curves to Data
Power Functions: Negative Powers
Rational Functions
Concept Check and Review
Only in the Movies?
Proportionality: Shape and Size
Managing Traffic
Alcohol and the Surge Function
Systems of Equations and Categorical Data
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Several Variables
Using Matrices to Solve Systems of Linear Equations
Matrices and Categorical Data
Matrix Operations: Getting Information from Data
Matrix Equations: Solving a Linear System
Concept Check and Review
Collecting Categorical Data
Will the Species Survive?
Working With Numbers
Numbers and Their Properties
The Number Line and Intervals
Integer Exponents
Radicals and Rational Exponents
Working with Expressions
Combining Algebraic Expressions
Factoring Algebraic Expressions
Rational Expressions
Working with Equations
Solving Basic Equations
Solving Quadratic Equations
Solving Basic Inequalities
Working with Graphs
The Coordinate Plane
Graphs of Two-Variable Equations
Using a Graphing Calculator
Solving Equations and Inequalities Graphically
Table of Contents provided by Publisher. All Rights Reserved.

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