| 5. |
STANDARD COMPETENCIES: |
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A. |
Solve problems involving principles of set theory and logic. |
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B. |
Solve problems involving mathematical modeling. |
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C. |
Solve problems involving probability. |
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D. |
Solve problems involving statistics. |
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E. |
Solve problems involving consumer mathematics. |
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F. |
AT LEAST ONE OF THE FOLLOWING TOPICS IS ALSO REQUIRED |
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A. Solve problems involving Euclidean geometry. |
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B. Solve problems involving varying numeration systems. |
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C. Solve problems involving mathematics of social choice. |
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D. Solve problems involving management science. |
| 6. |
COURSE OUTLINE |
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1 |
Thinking Critically |
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1A Recognizing Fallacies |
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1B Propositions and Truth Values |
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1C Sets and Venn Diagrams |
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1D Analyzing Arguments |
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1E Critical Thinking in Everyday Life |
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2 |
Approaches to Problem Solving |
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2A The Problem Solving Power of Units |
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2B Standardized Units: More Problem Solving Power |
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2C Problem Solving Guidelines and Hints |
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3 |
Number in the Real World |
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3A Uses and Abuses of Percentages |
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3B Putting Numbers in Perspective |
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3C Dealing with Uncertainty |
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3D Index Numbers: The CPI and Beyond |
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3E How Numbers Deceive: Polygraphs, Mammograms, and More |
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4 |
Managing Your Money |
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4A Taking Control of Your Finances |
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4B The Power of Compounding |
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4C Savings Plans and Investments |
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4D Loan Payments, Credit Cards, and Mortgages |
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4E Income Taxes 4F Understanding the Federal Budget |
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5 |
Statistical Reasoning |
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5A Fundamentals of Statistics |
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5B Should You Believe a Statistical Study? |
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5C Statistical Tables and Graphs |
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5D Graphics in the Media |
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5E Correlation and Causality |
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6 |
Putting Statistics to Work |
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6A Characterizing Data |
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6B Measures of Variation |
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6C The Normal Distribution |
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6D Statistical Inference |
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7 |
Probability: Living with the Odds |
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7A Fundamentals of Probability |
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7B Combining Probabilities |
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7C The Law of Large Numbers |
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8 |
Exponential Astonishment |
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8A Growth: Linear versus Exponential |
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8B Doubling Time and Half-life |
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8C Real Population Growth |
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8D Logarithmic Scales: Earthquakes, Sounds, and Acids |
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9 |
Modeling Our World |
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9A Functions: the Building Blocks of Mathematical Modeling |
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9B Linear Modeling |
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9C Exponential Modeling |
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10 |
Modeling with Geometry |
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10A Fundamentals of Geometry |
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10B Problem Solving with Geometry |
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10C Fractal Geometry |
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12 |
Mathematics and Politics |
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12A Voting: Does the Majority Always Rule? |
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12B Theory of Voting |
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12C Apportionment: The House of Representatives and Beyond |