Problem Solving and Critical Thinking | |

Inductive and Deductive Reasoning | |

Estimation, Graphs, and Mathematical Models | |

Problem Solving | |

Set Theory | |

Basic Set Concepts | |

Subsets | |

Venn Diagrams and Set Operations | |

Set Operations and Venn Diagrams with Three Sets | |

Survey Problems | |

Logic | |

Statements, Negations, and Quantified Statements | |

Compound Statements and Connectives | |

Truth Tables for Negation, Conjunction, and Disjunction | |

Truth Tables for the Conditional and the Biconditional | |

Equivalent Statements, Variations of Conditional Statements, and DeMorganrsquo;s Laws | |

Arguments and Truth Tables | |

Arguments and Euler Diagrams | |

Number Representation and Calculation | |

Our Hindu-Arabic System and Early Positional Systems | |

Number Bases in Positional Systems | |

Computation in Positional Systems | |

Looking Back at Early Numeration Systems | |

Number Theory and the Real Number System | |

Number Theory: Prime and Composite Numbers | |

The Integers; Order of Operations | |

The Rational Numbers | |

The Irrational Numbers | |

Real Numbers and Their Properties | |

Exponents and Scientific Notation | |

Arithmetic and Geometric Sequences | |

Algebra: Equations and Inequalities | |

Algebraic Expressions and Formulas | |

Linear Equations in One Variable | |

Applications of Linear Equations | |

Ratio, Proportion, and Variation | |

Linear Inequalities in One Variable | |

Quadratic Equations | |

Algebra: Graphs, Functions, and Linear Systems | |

Graphing and Functions | |

Linear Functions and Their Graphs | |

Systems of Linear Equations in Two Variables | |

Linear Inequalities in Two Variables | |

Linear Programming | |

Approximating Reality with Nonlinear Models | |

Consumer Mathematics and Financial Management | |

Percent, Sales Tax, and Income Tax | |

Simple Interest | |

Compound Interest | |

Annuities, Stocks, and Bonds | |

Installment Buying | |

Amortization and the Cost of Home Ownership | |

Measurement | |

Measuring Length; The Metric System | |

Measuring Area and Volume | |

Measuring Weight and Temperature | |

Geometry | |

Points, Lines, Planes, and Angles | |

Triangles | |

Polygons, Perimeter, and Tessellations | |

Area and Circumstances | |

Volume | |

Right Triangle Trigonometry | |

Beyond Euclidean Geometry | |

Counting Methods and Probability Theory | |

The Fundamental Counting Principle | |

Permutations | |

Combinations | |

Fundamentals of Probability | |

Probability with the Fundamental Counting Principle, Permutations, and Combinations | |

Events Involving Not and Or ; Odds | |

Events Involving And ; Conditional Probability | |

Expected Value | |

Statistics | |

Sampling, Frequency Distributions, and Graphs | |

Measures of Central Tenden | |

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