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Tables of Contents for Student's Guide and Solutions Manual to Accompany Using and Understanding Mathematics
Chapter/Section Title
Page #
Page Count
Introduction
1
3
Principles of Reasoning
The Forces of Persuasion --- Overview of Common Fallacies
4
1
Propositions: Building Blocks of Logic
5
5
Logical Arguments: Deductive and Inductive
10
5
Analyzing Real Arguments
15
4
Statistical Reasoning
Fundamentals of Statistics
19
2
Should You Believe a Statistical Study?
21
2
Basic Statistical Graphs
23
3
Graphics in the Media
26
2
Causal Connections
28
3
Problems Solving Tools
Using Unit Analysis
31
5
Systems of Standardized Units
36
3
The Process of Problem Solving
39
3
Numbers in the Real World
Concepts of Number
42
3
Uses and Abuses of Percentages
45
4
Putting Numbers in Perspective
49
3
Dealing with Uncertainty
52
4
Financial Management
The Power of Compound Interest
56
5
Savings Plans (Annuities)
61
3
Loan Payments, Credit Cards, and Mortgages
64
4
Income Taxes
68
4
Investments
72
4
Modeling Our World
Functions: The Building Blocks of Mathematical Models
76
4
Linear Graphs and Modeling
80
7
Formulas as Models
87
6
Exponential Growth and Decay
Exponential Astonishment
93
2
Doubling Time and Half-Life
95
5
Exponential Modeling
100
6
Real Population Growth
106
3
Living with the Odds
Principles of Counting
109
6
Fundamentals of Probability
115
3
Combining Probabilities
118
5
The Law of Averages
123
3
Probability, Risk, and Coincidence
126
4
Putting Statistics to Work
Characterizing Data
130
5
Linear Regression Models
135
3
Statistical Inference
138
4
Sample Issues in Statistical Research
142
3
Mathematics and the Arts
Fundamentals of Geometry
145
3
Mathematics and Music
148
3
Perspective and Symmetry
151
2
Proportion and the Golden Ratio
153
3
Fractal Geometry
156
2
Discrete Mathematics in Business and Society
Network Analysis
158
4
The Traveling Salesman Problem
162
2
Project Design
164
3
Voting: Does the Majority Always Rule?
167
4
Theory of Voting
171
4
The Power of Numbers -- A Few More Topics
Balancing the Federal Budget
175
3
Energy: Our Future Depends on It
178
4
Density and Concentration
182
3
Logarithmic Scales: Earthquakes, Sounds, and Acids
185