1.1 Inductive reasoning 1.2 Estimation: A Problem Solving tool 1.3 Graph Interpretation: A Problem Solving Tool
2.1 Sets: A Problem-Solving Tool 2.2 Set Operations 2.3 Venn Diagrams 2.4 The Number of Elements in a Set: A Problem-Solving Tool 2.5 Infinite Sets
3.1 Statements 3.2 Truth Tables: A Problem-Solving Tool 3.3 The Conditional and the Biconditional 3.4 Variations of the Conditional and Implications 3.5 Euler Diagrams: A Problem-Solving Tool 3.6 Truth Tables and Validity Arguments Online Only: 3.7 Switching Networks: A Problem-Solving Tool
4. Numeration Systems
4.1 Egyptian, Babylonian, and Roman Numeration Systems 4.2 The Hindu-Arabic (Decimal) System 4.3 Number Systems with Bases Other Than 10 4.4 Binary Arithmetic 4.5 Octal and Hexadecimal Arithmetic
5. Number Theory and the Real Numbers
5.1 Number Theory: Primes and Composites 5.2 Whole Numbers, Integers, and Order or Operations 5.3 The Rational Numbers 5.4 Decimals, Scientific Notation, and Significant Digits 5.5 Rationals as Decimals: Percents 5.6 Real Numbers, Square Roots, and Decimal Representation 5.7 Radicals 5.8 Number Sequences
6. Equations, Inequalities, and Problem Solving
6.1 Solutions of First-Degree Sentences 6.2 Graphs of Algebraic Sentences 6.3 Sentences Involving Absolute Values 6.4 Quadratic Equations 6.5 Modeling and Problem Solving 6.6 Ratio Proportion, and Variation
7. Functions and Graphs
7.1 Graphing Relations and Functions 7.2 Linear Functions, Relations, and Applications 7.3 Slopes and Equations of A Line 7.4 Quadratic Functions and Their Graphs 7.5 Exponential and Logarithmic Functions 7.6 Two Linear Equations in Two Variables 7.7 Linear Inequalities Online Only: 7.8 Linear Programming
8.1 Points, lines, planes, and angles 8.2 Triangles and Other Polygons 8.3 Perimeter and Circumfrence 8.4 Area Measure and the Pythagorean Theorem 8.5 Volume and Surface Area Online Only: 8.6 Right Triangle Trigonometry 8.7 Networks, Non-Euclidean Geometry, and Topology Online Only: 8.8 Chaos and Fractals
9. Mathematical Systems and Matrices
9.1 Matrix Operations 9.2 Solving of Linear Equations with Matrices 9.3 Clock and Modular Arithmetic 9.4 Abstract Mathematical Systems: Groups and Fields 9.4 Game Theory
10. Counting Techniques
10.1 The Sequential Counting Principle (SCP): A Problem-Solving Tool 10.2 Permutations 10.3 Combinations 10.4 Miscellaneous Counting Methods
11.1 Sample Spaces and Probability 11.2 Poker Improbabilities 11.3 Computation and Probability 11.4 Conditional Probability 11.5 Independent Events 11.6 Odds and Mathematical Expectation
12.1 Sampling and Frequency Distribution 12.2 The Measures Central Tendency: The Mean, the Median, and the Mode 12.3 Measures of Depression: The Range and Standard Deviation 12.4 The Normal Dsitribution: A Problem Solving Tool 12.5 Statistical Graphics: A Problem-Solving Tool 12.6 Making Predictions: Linear Regression 12.7 Scattergrams and Correlation
13. Your Money and Your Math
13.1 Interest, Taxes, and Discounts 13.2 Credit Cards and Comsumer Credit 13.3 Annual Percentage Rate (APR) and the Rules of 78 13.4 Buying a House 13.5 Investing in Stocks, Bonds, and Mutual Funds
15.1 Introduction to Graph Theory 15.2 Euler Paths and Euler Circuits 15.3 Hamilton Paths and Hamilton Circuits 15.4 Trees
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