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Chapter/Section Title
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Tape Time: 24:43
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1
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Set Theory: Using Mathematics to Classify Objects
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1
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1
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1.1
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Problem Solving
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1
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2
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1.2
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The Language of Sets
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1
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2
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1.3
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Comparing Sets
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1
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2
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1.4
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Set Operations
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1
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2
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1.5
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Survey Problems
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2
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Logic: The Study of What’s True or False or
Somewhere in Between
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1
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3
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2.1
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Statements, Connectives, and Quantifiers
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1
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3
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2.2
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Truth Tables
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1
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3
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2.3
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The Conditional and Biconditional
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1
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3
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2.4
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Verifying Arguments
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3
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Graph Theory: The Mathematics of Relationships
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2
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4
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3.1
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Graph, Puzzles and Map Coloring
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2
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4
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3.2
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Traveling Salesperson Problem
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4
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Legislative Apportionment: How Do We Measure Fairness?
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5
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4.1
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Understanding Apportionment
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5
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Voting: Using Mathematics to Make Choices
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2
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5
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5.1
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Voting Methods
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6
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Consumer Mathematics: The Mathematics of Everyday Life
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3
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6
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6.1
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Interest
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3
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6
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6.2
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Consumer Loans
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3
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6
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6.4
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Amortization
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7
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Data: How Do We Know What is True?
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3
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7
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7.1
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Surveys and Survey Biases
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3
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7
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7.2
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Determining the Accuracy of Surveys
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8
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Descriptive Statistics: What a Data Set Tells Us
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4
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8
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8.1
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Organizing and Visualizing Data
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4
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8
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8.2
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Measures of Central Tendency
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4
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8
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8.3
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Measures of Dispersion
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4
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8
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8.4
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The Normal Distribution
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9
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Counting: Just How Many are There?
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4
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9
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9.1
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Introduction to Counting Methods
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4
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9
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9.2
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The Fundamental Counting Principle
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4
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9
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9.3
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Permutations and Combinations
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10
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Probability: What are the Chances?
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5
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10
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10.1
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The Basics of Probability Theory
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5
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10
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10.4
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Expected Value
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5
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11
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10.2
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Complements and Unions of Events
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11
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10.3
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Conditional Probability
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11
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Algebraic Models: How Do We Approximate Reality?
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6
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12
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11.1
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Linear Equations
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6
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12
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11.2
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Modeling with Linear Equations
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6
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12
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11.4
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Exponential Equations and Growth
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6
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13
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11.3
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Modeling with Quadratic Equations
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12
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Geometry: Ancient and Modern Mathematics Embrace
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6
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14
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12.3
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Perimeter and Area
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6
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14
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12.4
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Volume and Surface Area
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