<p>1. Critical Thinking Skills</p> <p>1.1 Inductive Reasoning</p> <p>1.2 Estimation</p> <p>1.3 Problem Solving</p> <p> </p> <p>2. Sets</p> <p>2.1 Set Concepts</p> <p>2.2 Subsets</p> <p>2.3 Venn Diagrams and Set Operations</p> <p>2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets</p> <p>2.5 Applications of Sets</p> <p>2.6 Infinite Sets</p> <p> </p> <p>3. Logic</p> <p>3.1 Statements and Logical Connectives</p> <p>3.2 Truth Tables for Negation, Conjunction, and Disjunction</p> <p>3.3 Truth Tables for the Conditional and Biconditional</p> <p>3.4 Equivalent Statements</p> <p>3.5 Symbolic Arguments</p> <p>3.6 Euler Diagrams and Syllogistic Arguments</p> <p>3.7 Switching Circuits</p> <p> </p> <p>4. Systems of Numeration</p> <p>4.1 Additive, Multiplicative, and Ciphered Systems of Numeration</p> <p>4.2 Place-Value or Positional-Value Numeration Systems</p> <p>4.3 Other Bases</p> <p>4.4 Computation In Other Bases</p> <p>4.5 Early Computational Methods</p> <p> </p> <p>5. Number Theory and the Real Number System</p> <p>5.1 Number Theory</p> <p>5.2 The Integers</p> <p>5.3 The Rational Numbers</p> <p>5.4 The Irrational Numbers and the Real Number System</p> <p>5.5 Real Numbers and Their Properties</p> <p>5.6 Rules of Exponents and Scientific Notation</p> <p>5.7 Arithmetic and Geometric Sequences</p> <p>5.8 Fibonacci Sequence</p> <p> </p> <p>6. Algebra, Graphs, and Functions</p> <p>6.1 Order of Operations</p> <p>6.2 Linear Equations in One Variable</p> <p>6.3 Formulas</p> <p>6.4 Applications of Linear Equations In One Variable</p> <p>6.5 Variation</p> <p>6.6 Linear Inequalities</p> <p>6.7 Graphing Linear Equations</p> <p>6.8 Linear Inequalities In Two Variables</p> <p>6.9 Solving Quadratic Equations By Using Factoring and By Using the Quadratic Formula</p> <p>6.10 Functions and Their Graphs</p> <p> </p> <p>7. Systems of Linear Equations and Inequalities</p> <p>7.1 Systems of Linear Equations</p> <p>7.2 Solving Systems of Linear Equations by the Substitution and Addition Methods</p> <p>7.3 Matrices</p> <p>7.4 Solving Systems of Linear Equations by Using Matrices</p> <p>7.5 Systems of Linear Inequalities</p> <p>7.6 Linear Programming</p> <p> </p> <p>8. The Metric System</p> <p>8.1 Basic Terms and Conversions Within the Metric System</p> <p>8.2 Length, Area, and Volume</p> <p>8.3 Mass and Temperature</p> <p>8.4 Dimensional Analysis and Conversions To and From the Metric System</p> <p> </p> <p>9. Geometry</p> <p>9.1 Points, Lines, Planes, and Angles</p> <p>9.2 Polygons</p> <p>9.3 Perimeter and Area</p> <p>9.4 Volume and Surface Area</p> <p>9.5 Transformational Geometry, Symmetry, and Tessellations</p> <p>9.6 Topology</p> <p>9.7 Non-Euclidean Geometry and Fractal Geometry</p> <p> </p> <p>10. Mathematical Systems</p> <p>10.1 Groups</p> <p>10.2 Finite Mathematical Systems</p> <p>10.3 Modular Arithmetic</p> <p> </p> <p>11. Consumer Mathematics</p> <p>11.1 Percent</p> <p>11.2 Personal Loans and Simple Interest</p> <p>11.3 Compound Interest</p> <p>11.4 Installment Buying</p> <p>11.5 Buying A House With A Mortgage</p> <p>11.6 Ordinary Annuities, Sinking Funds, and Retirement Investments</p> <p> </p> <p>12. Probability</p> <p>12.1 The Nature of Probability</p> <p>12.2 Theoretical Probability</p> <p>12.3 Odds</p> <p>12.4 Expected Value (Expectation)</p> <p>12.5 Tree Diagrams</p> <p>12.6 OR and AND Problems</p> <p>12.7 Conditional Probability</p> <p>12.8 The Counting Principle and Permutations</p> <p>12.9 Combinations</p> <p>12.10 Solving Probability Problems By Using Combinations</p> <p>12.11 Binomial Probability Formula</p> <p> </p> <p>13. Statistics</p> <p>13.1 Sampling Techniques</p> <p>13.2 The Misuses of Statistics</p> <p>13.3 Frequency Distributions and Statistical Graphs</p> <p>13.4 Measures of Central Tendency</p> <p>13.5 Measures of Dispersion</p> <p>13.6 The Normal Curve</p> <p>13.7 Linear Correlation and Regression</p> <p> </p> <p>14. Graph Theory</p> <p>14</p>