(All chapters conclude with a "Chapter Summary", "Review Exercises", a "Chapter Test", and "Group Projects".)
1. Critical Thinking Skills.
Venn Diagrams and Set Operations.
Venn Diagrams with Three Sets and Verification of Equality of Sets.
Applications of Sets.
Truth Tables for Negation, Conjunction, and Disjunction.
Truth Tables for the Conditional and Biconditional.
Euler Diagrams and Syllogistic Arguments.
4. Systems of Numeration.
Place-Value or Positional-Value Numeration Systems.
Computation in Other Bases.
Early Computational Methods.
5. Number Theory and The Real Number System.
The Rational Numbers.
The Irrational Numbers and the Real Number System.
Real Numbers and Their Properties.
Rules of Exponents and Scientific Notation.
Arithmetic and Geometric Sequences.
6. Algebra, Graphs, and Functions.
Linear Equations in One Variable.
Applications of Linear Equations inOne Variable.
Graphing Linear Equations.
Linear Inequalities in Two Variables.
Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula.
Functions and Their Graphs.
7. Systems of Linear Equations and Inequalities.
Solving Systems of Equations by the Substitution and Addition Methods.
Solving Systems of Equations by Using Matrices.
Systems of Linear Inequalities.
8. The Metric System.
Length, Area, and Volume.
Mass and Temperature.
Dimensional Analysis and Conversions To and from the Metric System.
Perimeter and Area.
The Möbius Strip, Klein Bottle, and Maps.
Non-Euclidean Geometry and Fractal Geometry.
10. Mathematical Systems.
Finite Mathematical Systems.
11. Consumer Mathematics.
Personal Loans and Simple Interest.
Buying a House with a Mortgage.
Expected Value (Expectation).
Or and And Problems.
The Counting Principle and Permutations.
Solving Probability Problems by Using Combinations.
Binomial Probability Formula.
The Misuses of Statistics.
Measures of Central Tendency.
Measures of Dispersion.
The Normal Curve.
Linear Correlation and Regression.
14. Graph Theory.
Euler Paths and Euler Circuits.
Hamilton Paths and Hamilton Circuits.
15. Voting and Apportionment.
Flaws of Voting.
Flaws of the Apportionment Methods.