1. Critical Thinking Skills
1.1 Inductive Reasoning
1.2 Estimation
1.3 Problem Solving
2. Sets
2.1 Set Concepts
2.2 Subsets
2.3 Venn Diagrams and Set Operations
2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets
2.5 Applications of Sets
2.6 Infinite Sets
3. Logic
3.1 Statements and Logical Connectives
3.2 Truth Tables for Negation, Conjunction, and Disjunction
3.3 Truth Tables for the Conditional and Biconditional
3.4 Equivalent Statements
3.5 Symbolic Arguments
3.6 Euler Diagrams and Syllogistic Arguments
3.7 Switching Circuits
4. Systems of Numeration
4.1 Additive, Multiplicative, and Ciphered Systems of Numeration
4.2 Place-Value or Positional-Value Numeration Systems
4.3 Other Bases
4.4 Computation In Other Bases
4.5 Early Computational Methods
5. Number Theory and the Real Number System
5.1 Number Theory
5.2 The Integers
5.3 The Rational Numbers
5.4 The Irrational Numbers and the Real Number System
5.5 Real Numbers and Their Properties
5.6 Rules of Exponents and Scientific Notation
5.7 Arithmetic and Geometric Sequences
5.8 Fibonacci Sequence
6. Algebra, Graphs, and Functions
6.1 Order of Operations
6.2 Linear Equations in One Variable
6.3 Formulas
6.4 Applications of Linear Equations In One Variable
6.5 Variation
6.6 Linear Inequalities
6.7 Graphing Linear Equations
6.8 Linear Inequalities In Two Variables
6.9 Solving Quadratic Equations By Using Factoring and By Using the Quadratic Formula
6.10 Functions and Their Graphs
7. Systems of Linear Equations and Inequalities
7.1 Systems of Linear Equations
7.2 Solving Systems of Linear Equations by the Substitution and Addition Methods
7.3 Matrices
7.4 Solving Systems of Linear Equations by Using Matrices
7.5 Systems of Linear Inequalities
7.6 Linear Programming
8. The Metric System
8.1 Basic Terms and Conversions Within the Metric System
8.2 Length, Area, and Volume
8.3 Mass and Temperature
8.4 Dimensional Analysis and Conversions To and From the Metric System
9. Geometry
9.1 Points, Lines, Planes, and Angles
9.2 Polygons
9.3 Perimeter and Area
9.4 Volume and Surface Area
9.5 Transformational Geometry, Symmetry, and Tessellations
9.6 Topology
9.7 Non-Euclidean Geometry and Fractal Geometry
10. Mathematical Systems
10.1 Groups
10.2 Finite Mathematical Systems
10.3 Modular Arithmetic
11. Consumer Mathematics
11.1 Percent
11.2 Personal Loans and Simple Interest
11.3 Compound Interest
11.4 Installment Buying
11.5 Buying A House With A Mortgage
11.6 Ordinary Annuities, Sinking Funds, and Retirement Investments
12. Probability
12.1 The Nature of Probability
12.2 Theoretical Probability
12.3 Odds
12.4 Expected Value (Expectation)
12.5 Tree Diagrams
12.6 OR and AND Problems
12.7 Conditional Probability
12.8 The Counting Principle and Permutations
12.9 Combinations
12.10 Solving Probability Problems By Using Combinations
12.11 Binomial Probability Formula
13. Statistics
13.1 Sampling Techniques
13.2 The Misuses of Statistics
13.3 Frequency Distributions and Statistical Graphs
13.4 Measures of Central Tendency
13.5 Measures of Dispersion
13.6 The Normal Curve
13.7 Linear Correlation and Regression
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
Credits
Index of Applications
Index
