Math 103: Topics in Math for the Liberal Arts, Section 11, Winter 2011
January 18, 2011 Class
1.
Introductions
2.
Information Sheet at Sakai
3.
Syllabus at Sakai, Class notes put on Sakai each class
4.
Homework to be submitted and graded for Chapter 1: pages 31-38,
Exercises 12,18,20,24 due on Tuesday, January 25. Pages 31-38:
Exercises
34,38,42,60 due later.
5. Homework not to be submitted. Will be discussed on Friday, January 21:
Pages 31-33: Exercises 11, 17, 19, 23.
6. Please bring your calculator to our next class. We will have a quiz that tests skills
needed for this course. It will not count as a quiz grade, but will show you which skills, if
any, you need to learn. I will cover all the needed skills as the course progresses. I will
return your quizzes and post the answers at Sakai.
Terms we will discuss today: Candidate, choice, preference ballots, first-place
votes, preference schedules, voter’s preferences are transitive, 2 candidates,
more than 2 candidates, plurality, majority, head to head matches, Condorcet
candidate, 2 Voting Methods: Plurality and Borda Count,
2 Fairness Criteria:
Majority and Condorcet
In every election there are a set of voters and a set of candidates or choices.
A ballot in which the voters are asked to rank the candidates in order of preference is
called a
preference ballot
.
Example 1
: The Debating Club is in the process of selecting a new president. They have narrowed
the field to four candidates – Allen, Barbara, Cathy, and David. Each of the club’s 32 members has
voted using a preference ballot.