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Chapter 1 FUNDAMENTALS OF PROBLEM SOLVING
Section 1.1: Why Students Can't Solve Word Problems ReliablySection 1.2: A Psychological Look At Top-Down Processing
Section 1.2: Brainstorming
Section 1.6: Problem Solving Strategies
Chapter 2 SETS
Section 2.2: Infinite Sets; Countable And UncountableSection 2.2: Historical Note: Georg Cantor
Section 2.4: Sets And Operations On Sets
Section 2.5: Visual Examples Of Different Types Of Venn Diagrams
Section 2.6: Note Of Interest: Albert Einstein
Section 2.7: Historical Note: Rene Descartes
Chapter 3 LOGIC
Section 3.1: AristotleSection 3.4: Truth Tables For Compound Statements
Section 3.7: Exercises On Conditionals
Section 3.8: Validity
Section 3.9: Historical Note: John Venn
Section 3.10: Historical Note: Lewis Carroll
Chapter 4 PROBABILITY
Section 4.1: Games Of "Chance"Section 4.2: Simple Probabilities
Section 4.3: Applications Of The Fundamental Counting Principle
Section 4.3: Definition Of Sample Space
Section 4.4: Note Of Interest: Pascal's Triangle
Section 4.5: Expected Value - An Example
Section 4.8: Note Of Interest: John Von Neumann
Chapter 5 STATISTICS
Section 5.2: Measures Of Central TendencySection 5.3: Variance And Standard Deviation
Section 5.4: Historical Note: Karl Friedrich Gauss
Section 5.6: The Normal Curve And Z-Scores
Chapter 6 MATHEMATICAL SYSTEMS
Section 6.4: Note Of Interest: A Rubik's Cube Java AppletSection 6.5: Historical Note: Niels Henrik Abel
Chapter 7 SYSTEMS OF NUMERATION
Section 7.1: History Of Numeral SystemsSection 7.2: Egyptian Hieroglyphics
Section 7.2: Note Of Interest: PI In Cheops' Pyramid
Section 7.4: Cuneiform Writing System
Section 7.4: Note Of Interest: Roman Numeral Conversion
Chapter 8 SETS OF NUMBERS AND THEIR STRUCTURE
Section 8.2: Find A Prime Using A Factor TreeSection 8.2: Interactive Sieve Of Eratosthenes
Section 8.2: Note Of Interest: RSA Public-Key Cryptosystem
Section 8.2: Note Of Interest: Largest Known Prime
Section 8.3: The Euclidean Algorithm
Section 8.3: Finding The GCD Of Two Numbers Using the Euclidean Algorithm
Section 8.5: Rules For Evaluating Complex Fractions
Section 8.6: Convert Repeating Decimals To Fractions
Section 8.8: Practice With Scientific Notation
Section 8.8: Note Of Interest: John Napier
Chapter 9 AN INTRODUCTION TO ALGEBRA
Section 9.1: Origins Of AlgebraSection 9.5: Historical Note: Diophantus Of Alexandria
Section 9.6: Linear Equation Examples
Section 9.6: Linear Equations With Graphing Demo
Section 9.7: Graphing Linear Functions
Chapter 10 SELECTED TOPICS IN ALGEBRA
Section 10.2: Slope Of A LineSection 10.3: Use Of The Slope Intercept Formula In Chemistry And Physics
Section 10.3: Historical Note: Benjamin Banneker
Section 10.4: Some Different Ways To Examine Quadratic Functions
Section 10.5: Linear Programming Formulation
Section 10.6: Quadratic Equation Roots And Solutions
Chapter 11 AN INTRODUCTION TO GEOMETRY
Section 11.1: A Look At Euclid's ElementsSection 11.2: Ratios And Proportions
Section 11.2: Rations And Proportions
Section 11.4: Understanding Angles
Section 11.5: Finding The Length Of The Hypotenuse
Section 11.6: Problems For Finding Perimeters, Circumferences, and Areas
Section 11.7: Historical Note: Pierre de Fermat
Section 11.8: Similar Triangles Application
Section 11.9: Historical Note: Sophie Germain
Chapter 12 CONSUMER MATHEMATICS
Section 12.2: Ratios And ProportionsSection 12.3: Converting Percentages To Fractions Or Decimals
Section 12.5: Simple Vs. Compound Interest
Section 12.6: Compound Interest Calculator
Section 12.7: Effective Annual Interest Rate
Section 12.8: What's An Actuary?
Chapter 13 AN INTRODUCTION TO THE METRIC SYSTEM
Section 13.1: Conversion CalculatorSection 13.2: The International System Of Units
Section 13.5: Anna's Weight
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