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The text required for this course is the 11th Edition of Miller, Heeren, and Hornsby’s Mathematical
Ideas published by Pearson and Addison Wesley. Topics are chosen from four contexts: Numeric, Conceptual, Geometric,
and Quantitative Data Representation/Chance.
The Art of Problem Solving
- Solving Problems by Inductive Reasoning
- An Application of Inductive Reasoning: Number Patterns
- Strategies for Problem Solving
- Calculating, Estimating, and Reading Graphs
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The Basic Concepts of Set Theory
- Symbols and Terminology
- Venn Diagrams and Subsets
- Set Operations and Cartesian Products
- Surveys and Cardinal Numbers
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The Basic Concepts of Algebra
- Ratio, Proportion, and Variation
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Geometry
- Points, Lines, Planes, and Angles
- Curves, Polygons, and Circles
- Perimeter, Area, and Circumference
- The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
- Space Figures, Volume, and Surface Area
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Counting Methods
- Counting by Systematic Listing
- Using the Fundamental Counting Principle
- Using Permutations and Combinations
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Probability
- Basic Concepts
- Events Involving “Not” and “Or”
- Conditional Probability; Events Involving “And”
- Expected Value
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Statistics
- Visual Displays of Data
- Measures of Central Tendency
- Measures of Dispersion
- The Normal Distribution
- Regression and Correlation
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Personal Financial Management
- The Time Value of Money
- Installment Buying
- Truth in Lending
- The Costs and Advantages of Home Ownership
- Financial Investments
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| Appendix Measurement Systems |
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