MAT 101M: Mathematics for the 21st Century

Fall 2018

Final exam information

1. Notes and materials

You are permitted four letter-size handwritten notes sheets (both sides) for use as a reference during the exam. Please staple your notes into a single packet.

The following reference tables, if needed, will be provided to you. It might be provided exactly as in the textbook, abbreviated, or include similar, but not the same, information.

• Table 2.1 USCS
• Table 2.2 Common Metric Prefixes
• Table 2.3 USCS–Metric Conversions
• Table 2.4 Sample Currency Exchange Rates
• Table 3.1 Selected Energy Comparisons
• Table 3.4 CPI
• Table 6.3 z-scores and percentiles for a normal distribution

Be sure you have your own scientific calculator (or graphing calculator) to use during the exam. You may want to bring spare batteries.

2. How to study

Please see tips from first exam.

Get enough rest during finals week and the weekend before. Create a list and schedule of what you will do each day, including enough sleep in your schedule. Start studying early enough so you can take breaks; reward yourself after working hard.

Practicing by solving problems is much more effective than reading over solutions. There are concept review questions in each set of exercises in the textbook. Going over homework and quiz correcting mistakes is also a good idea.

3. Exam content

The exam covers everything we have done. The exam is cumulative, so you should review the topics of the previous three exams. Half of the exam will focus on what was not already tested in previous exams. Here are some topics we emphasized since the last exam:

• Probability:
• outcomes, event, odds
• "and" probability, independent events, conditional probability
• "or" probability, mutually exclusive events
• "at least one" probability, complement
• law of large numbers
• expected value
• Gambler's Fallacy
• counting: multiplication principle, factorial, anagrams, permutations, combinations
• Voting:
• preference ballot, preference schedule
• voting methods: Plurality, Sequential Runoff, Single Runoff, Borda Count, Condorcet, Approval
• majority candidate, Condorcet winner
• Fairness Criteria: Majority, Condorcet, Monotonicity, IIA
• gerrymandering

As usual, please note that this document is not a contract. I may have inadvertently left something off that ends up on an exam question. Moreover, I will not be able to test all of this material given the time limitations of the exam. I will have to pick and choose some subset of it.