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Use quantitative methods to help analyze problems in academic or social contexts; develop in-depth arguments supported by quantitative evidence; and communicate those arguments in both verbal form and quantitative displays (e.g., tables, diagrams, graphs, mathematical equations, or other relevant format).
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Demonstrate an understanding of fundamental sets and subset concepts.
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Construct Venn Diagrams to illustrate set relationships and verify the equality of sets.
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Use Venn Diagrams and set concepts to solve application problems.
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Express statements using appropriate logic connectors and quantifiers.
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Determine the equivalence of two statements using truth tables, DeMorgans Law, and conditional statement rules.
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Determine the validity of syllogistic arguments and syllogistic arguments.
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Calculate simple and compound interest to solve real-life loan and investment problems.
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Apply basic financial mathematics to monthly payments and annual percentage rate for fixed installment loans.
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Demonstrate an understanding of empirical, theoretical, conditional probability.
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Solve probability problems, including conditional and mutually exclusive events.
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Solve probability problems using the counting principle, permutations, and combinations.
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Use graphs and trees to represent real-life settings.
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Demonstrate an understanding of graph movement through paths, circuits, and bridges.
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Solve real-life problems using Euler and Hamilton paths and circuits.
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Apply various voting methods to determine the winner of an election.
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Apply the fairness criteria to determine flaws in voting methods.
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Apply various methods of apportionment and identify flaws.