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| 1.1: Inductive and Deductive Reasoning |
| 1.2: Estimation, Graphs, and Mathematical Models |
| 1.3: Problem Solving |
| 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 |
| 3.1: 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 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 |
| 4.1: 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 |
| 5.1: 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 |
| 6.1: 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 |
| 7.1: 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 |
| 8.1: 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 |
| 9.1: Measuring Length; The Metric System |
| 9.2: Measuring Area and Volume |
| 9.3: Measuring Weight and Temperature |
| 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 |
| 11.1: 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 |
| 12.1: 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 |
| 13.1: Voting Methods |
| 13.2: Flaws of Voting Methods |
| 13.3: Apportionment Methods |
| 13.4: Flaws of Apportionment Methods |
| 14.1: Graphs, Paths, and Circuits |
| 14.2: Euler Paths and Euler Circuits |
| 14.3: Hamilton Paths and Hamilton Circuits |
| 14.4: Trees |