Addison-Wesley / Prentice Hall
Mathematics
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Quantitive Reasoning & the Environment
ISBN-10: 013148527X
ISBN-13: 9780131485273
Publisher: Pearson
Copyright: 2007
Format: Paper; 368 pp
Published: 07/10/2006
Status: Instock
An introductory quantitative math book with an environmental theme. The emphasis of this text is on analyzing real environmental information and problems, using mathematics accessible to students with an intermediate algebra background. Students using this text will develop mathematical (and environmental) literacy as they model natural processes using algebraic, graphical and numerical methods, and analyze data quantitatively to assist in objective decision making.
The textbook is comprised of 4 principal sections: (1) basic numeracy; (2) function modeling; (3) difference equation modeling, and; (4) elementary statistics. Furthermore, this textbook combines both a reform and traditional approach. Traditional in that each chapter presents introductory material, worked examples, multiple student problems, and solutions to odd exercises. It is reform in that it investigates material through a synthesis of algebraic, graphical, numerical and verbal approaches.
The authors’ website www.enviromath.com contains a wealth of information. This site hosts chapter projects, datasets (for both the TI calculator and Excel), applets, and links to the Quantitative Environmental Learning Project (QELP) and Webster West’s StatCrunch and outdoor activities for the class.
Part 1: Essential Numeracy
Chapter 1: Measurement and Units
Mercury and the Inuit of Greenland
Measuring
Accuracy and Precision of Measurement
Estimation and Approximation
Units of Measurement
Unit Conversion
Compound Units
Units in Equations and Formulas
Unit Prefixes
Scientific Notation and Order of Magnitude
Powers of 10 and Logarithms
Logarithmic Scales
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Global Warming
Chapter Project: Melting of the Ice Caps
(all projects posted at enviromath.com)
Chapter 2: Ratios and Percentages
Ratios
Normalization
Percentage as a Type of Ratio
Parts per Thousand
Parts per Million and Parts per Billion
Percentage as a Measure of Change
Percentage Difference and Percentage Error
Proportions
Probability
Recurrence Interval
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Sinkholes and Lakes
Chapter Project: Measuring Habitat of Florida Lakes
Chapter 3: Charts and Graphs
Pie Charts
Bar Charts
Frequency Histograms
Using Technology: Histograms
Relative Frequency Histograms
Scatterplots
Using Technology: Scatterplots
Line Graphs
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Energy Demand and the Arctic National Wildlife Refuge
Chapter Project: U.S. Energy Flows
Part 2: Function Modeling
Chapter 4: Linear Functions and Regression
Modeling with Linear Functions
Units of Measure in Linear Equations
Dependent versus Independent Variables
Graphing Linear Equations
Using Technology: Graphs and Tables
Approximating Almost-Linear Data Sets
straightedge method
least squares regression
Using Technology: Linear Regression
The Correlation Coefficient "r"
Using Technology: The Correlation Coefficient
Correlation Fallacies
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Population Growth
Chapter Project: Fertility Rates in Developing Countries
Chapter 5: Exponential Functions and Regression
Exponential Rates and Multipliers
The General Exponential Model
Finding Exponential Functions–the More General Case
Solving Exponential Equations
Doubling Times and Half-Lives
Approximating Almost-Exponential Data Sets
straightedge method
least squares regression
Using Technology: Exponential Regression
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Chicken Nation
Chapter Project: Broiler Chicken Production in the United States
Chapter 6: Power Functions
Basic Power Functions
Solving Power Equations
Approximating Power-Like Data Sets
straightedge method
least squares regression
Using Technology: Power Regression
Power Law Frequency Distributions
Power Law Distributions and Fractals
Recurrence Intervals
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Earthquakes and Fractals
Chapter Project: A New Model for Earthquakes
Part 3: Difference Equation Modeling
Chapter 7: Introduction to Difference Equations
Sequences and Notation
Modeling with Difference Equations
Linear Difference Equations
Exponential Difference Equations
Why Use Difference Equations?
Affine Difference Equations
Using Technology: Difference Equations
Chapter Summary
End-of-Chapter Exercises
Science in Depth: The Politics of Immigration
Chapter Project: Human Population and Migration
Chapter 8: Affine Solution Equations and Equilibrium Values
The Solution Equation to the Affine Model
Equilibrium Values
Classification of Equilibrium values
Revisiting the Affine Solution Equation
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Get The Lead Out
Chapter Project: Lead in the Body
Chapter 9: Logistic Growth, Harvesting and Chaos
Modeling Logistic Growth with Difference Equations
Logistic Equilibrium Values
Harvest Models
Periodic Behavior
Chaotic Behavior
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Harvesting and Sustainable Forestry
Chapter Project: Harvesting and Sustainability
Chapter 10: Systems of Difference Equations
Systems Modeling
Using Technology: Systems of Difference Equations
Exponential Change and Stable Age Distributions
What Else Besides Populations?
Chapter Summary
End-of-Chapter Exercises
Science in Depth: A River Runs Through Europe
Chapter Project: Water Pollution in a System of Lakes
Part 4: Elementary Statistics
Chapter 11: Fundamentals of Statistics
Measures of Center and Other Descriptive Statistics
Weighted Means
Quartiles and the 5 Number Summary
Boxplots
Using Technology: Finding Descriptive Statistics
Shape of a Data Set
Using Technology: Histograms
A Skew Formula
Comparing the Mean and Median
Sampling
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Energy Makeover
Chapter Projects: Electric Bills and Super Bulbs
Chapter 12: Standard Deviation
Standard Deviation
Calculating Position Using Z-scores
Outliers
Chebychev's Rule
Normal Distributions
The Empirical Rule
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Impermeable Surfaces and Urban Runoff
Chapter Projects: Urban Runoff Index
Chapter 13: Normal Distributions
The Standard Normal Distribution
Transformations to Normal
Confidence Intervals
Chapter Summary
End-of-Chapter Exercises
Science in Depth: Hazardous Household Waste
Chapter Project: Hazardous Waste Generation and Monetary Disincentives
Appendix: Common Units of Measurement
Solutions to Odd Exercises
Index
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