1. Problem Solving and Critical Thinking 1.1 Inductive and Deductive Reasoning 1.2 Estimation, Graphs, and Mathematical Models 1.3 Problem Solving 2. Set Theory 2.1 Basic Set Concepts 2.2 Subsets 2.3 Venn Diagrams and Set Operations 2.4 Set Operations and Venn Diagrams with Three Sets 2.5 Survey Problems 3. Logic 3.1 Statements, Negations, and Quantified Statements 3.2 Compound Statements and Connectives 3.3 Truth Tables for Negation, Conjunction, and Disjunction 3.4 Truth Tables for the Conditional and the Biconditional 3.5 Equivalent Statements and Variations of Conditional Statements 3.6 Negations of Conditional Statements and De Morgan's Laws 3.7 Arguments and Truth Tables 3.8 Arguments and Euler Diagrams 4. Number Representation and Calculation 4.1 Our Hindu-Arabic System and Early Positional Systems 4.2 Number Bases in Positional Systems 4.3 Computation in Positional Systems 4.4 Looking Back at Early Numeration Systems 5. Number Theory and the Real Number System 5.1 Number Theory: Prime and Composite Numbers 5.2 The Integers; Order of Operations 5.3 The Rational Numbers 5.4 The Irrational Numbers 5.5 Real Numbers and Their Properties; Clock Addition 5.6 Exponents and Scientific Notation 5.7 Arithmetic and Geometric Sequences 6. Algebra: Equations and Inequalities 6.1 Algebraic Expressions and Formulas 6.2 Linear Equations in One Variable and Proportions 6.3 Applications of Linear Equations 6.4 Linear Inequalities in One Variable 6.5 Quadratic Equations 7. Algebra: Graphs, Functions, and Linear Systems 7.1 Graphing and Functions 7.2 Linear Functions and Their Graphs 7.3 Systems of Linear Equations in Two Variables 7.4 Linear Inequalities in Two Variables 7.5 Linear Programming 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions 8. Personal Finance 8.1 Percent, Sales Tax, and Discounts 8.2 Income Tax 8.3 Simple Interest 8.4 Compound Interest 8.5 Annuities, Methods of Saving, and Investments 8.6 Cars 8.7 The Cost of Home Ownership 8.8 Credit Cards 9. Measurement 9.1 Measuring Length; The Metric System 9.2 Measuring Area and Volume 9.3 Measuring Weight and Temperature 10. Geometry 10.1 Points, Lines, Planes, and Angles 10.2 Triangles 10.3 Polygons, Perimeter, and Tessellations 10.4 Area and Circumference 10.5 Volume and Surface Area 10.6 Right Triangle Trigonometry 10.7 Beyond Euclidean Geometry 11. Counting Methods and Probability Theory 11.1 The Fundamental Counting Principle 11.2 Permutations 11.3 Combinations 11.4 Fundamentals of Probability 11.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations 11.6 Events Involving Not and Or; Odds 11.7 Events Involving And; Conditional Probability 11.8 Expected Value 12. Statistics 12.1 Sampling, Frequency Distributions, and Graphs 12.2 Measures of Central Tendency 12.3 Measures of Dispersion 12.4 The Normal Distribution 12.5 Problem Solving with the Normal Distribution 12.6 Scatter Plots, Correlation, and Regression Lines 13. Voting and Apportionment 13.1 Voting Methods 13.2 Flaws of Voting Methods 13.3 Apportionment Methods 13.4 Flaws of Apportionment Methods 14. Graph Theory 14.1 Graphs, Paths, and Circuits 14.2 Euler Paths and Euler Circuits 14.3 Hamilton Paths and Hamilton Circuits 14.4 Trees Answers to Selected Exercises