Viewing Life Mathematically, 2nd Edition

1.1 Thinking Mathematically

1.2 Estimating and Evaluating

1.3 Problem Solving: Processes and Techniques

2.1 Set Notation

2.2 Subsets and Venn Diagrams

2.3 Operations with Sets

2.4 Applications and Survey Analysis

3.1 Logic Statements and Their Negations

3.2 Truth Tables

3.3 Logical Equivalence and De Morgan's Laws

3.4 Valid Arguments and Fallacies

4.1 Proportions, Percentages, and Ratios

4.2 Using Percentages

4.3 Rates, Unit Rates, and Rates of Change

4.4 Using Rates for Dimensional Analysis

4.5 Proportionality

5.1 Linear Equations and Functions

5.2 Linear Modeling

5.3 Solving Linear Systems of Equations in Two Variables

5.4 Linear Inequalities in Two Variables

5.5 Linear Programming

5.6 Modeling with Quadratics

5.7 Exponential and Logarithmic Functions

6.1 Understanding Interest

6.2 Saving and Investing

6.3 Borrowing Money

6.4 Federal Revenue

6.5 Budgeting

7.1 Numeral Systems Based on Position

7.2 Early Numeral Systems

7.3 Working with Base Number Systems

7.4 The Metric System

7.5 Converting between the US Customary System and the Metric System

8.1 Prime Numbers

8.2 Modular Arithmetic

8.3 Fermat's Little Theorem and Prime Testing

8.4 Fermat's Little Theorem and Public-Key Encryption

9.1 Two-Dimensional Geometry

9.2 Three-Dimensional Geometry

9.3 Angles and Trigonometry

10.1 Introduction to Probability

10.2 Counting Outcomes

10.3 Probability of Single Events

10.4 Addition and Multiplication Rules of Probability

10.5 Binomial Probability

10.6 Expected Value

11.1 Statistical Studies

11.2 Displaying Data

11.3 Describing and Analyzing Data

11.4 The Normal Distribution

11.5 Confidence Intervals

12.1 The Science of Data

12.2 Data Wrangling

12.3 Data Exploration

12.4 Data Storytelling

13.1 How to Determine a Winner

13.2 Flaws in Voting Methods

13.3 Apportionment

13.4 Weighted Voting Systems

14.1 Introduction to Graph Theory

14.2 Trees

14.3 Matchings

14.4 Planar Graphs