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Nov 24, 2024
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MATH& 107 Math in Society (5 credits)
Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
Formerly MATH 107 - CCN
Prerequisite MATH 077, MATH 096 or MATH 098 or equivalent with a grade of at least 2.0 or satisfactory placement test score.
Course Description
Contemporary mathematics applied to a variety of fields. Instructor-chosen topics will focus on graphical- and formula-derived solutions, statistics, applied problems, and communicating solutions. Topics may include management science, statistics, social choice, patterns, and financial applications.
Student Outcomes
1) Read complex scenarios and extract from them information relevant to solving problems. Obtain any necessary additional information from outside sources.
2) Identify a strategy for solving problems in diverse scenarios and contexts
3) Solve problems using a variety of quantitative and mathematical techniques, including:
a) Solve multi-step problems using proportional reasoning approaches (some examples: dimensional analysis, use rates and ratios, scale shapes, convert square and cubic units, calculate percents)
b) Create and analyze graphical representations of data to summarize data, make comparisons, and visualize distributions.
c) Model and solve problems using graphical methods (some examples: estimate solutions using graphs of functions, use graphs to analyze network flows such as Euler and Hamilton Circuits, use graphs to model scheduling problems, use Venn diagrams to analyze set interactions, create system dynamics models)
d) Solve problems using algorithms (some examples: build amortization schedules, execute voting theory algorithms, execute fair division algorithms, execute network flow algorithms)
e) Solve problems using formulas or equations (some examples: use financial formulas, use probability formulas, build and use growth models)
4) Determine the reasonableness and implications of mathematical solutions, and recognize the limitations of the methods used.
5) Communicate mathematical processes effectively by showing appropriate steps or procedures.
6) Communicate contextual solutions effectively by including units or writing a phrase, complete sentence, or paragraph as appropriate.
7) Interpret results in context of the problem, describe their implications, and/or use the results to make decisions.
8) Solve complex, open-ended problems utilizing elements from all the above outcomes within a single scenario.
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