Math 116 Spring 2006 Robert Brown

Teacher: Robert Brown

Office
MW710 292-8888 brown.71@osu.edu

Office
Hours: MWF 10:30-11:15 and by appt, except for Apr 14, 19, 21, May 17, 19

Lectures MWF 11:30-12:18, in PH 1187

Recitations
TuTh at 11:30 and 12:30

Course website: http://www.math.ohio-state.edu/~rbbrown/math116sp06. This has lecture overheads (scanned), assignments, course announcements. Keep your eye on it.

Text:
Excursions in Modern Mathematics, 5th ed, Peter Tannenbaum

Rough guide
to daily topics

**Weeks
1, 2**: Voting. Textbook Chapter 1.

**Weeks
3, 4, 5**: Weighted voting. Textbook Chapter 2.

**Weeks
6, 7**: Apportionment. Textbook, Chapter 4.

**Weeks
8, 9, 10**: Electoral Systems. The textbook does not cover this
topic. In addition to the

course website see the following:

http://www.aceproject.org

http://ifes.org

http://ifes.org/westbankproject.html?projectid=howhamaswon

http://en.wikipedia.org/Palestine_legislative_election%2C_2006_note-1

Important
dates

Memorial Day
holiday: Mon., May 29

**Midterm
1**: Mon., Apr. 10. Covers Voting.

**Midterm
2**: Fri., Apr. 28. Covers Weighted Voting.

**Midterm
3**: Mon., May 15. Covers
Apportionment.

**FINAL
EXAM**: Wed., June 7, 11:30-1:18 in our
classroom. Comprehensive, covering the entire quarter including electoral
systems. Your university I.D. will
be checked at the final exam.

**No exam
will be given in advance of its assigned date and time.**

Homework: Due approximately weekly beginning March 30. Please talk to each other about the homework, but under no circumstances copy from another's paper. Odd-numbered exercises have answers in the back of the book. Homework assignments early in the quarter will have both odd and even-numbered exercises, but eventually the odds will be eliminated.

Grading: Homework 100 points, three midterms 100 points each, and the final exam 200 points. Total: 600 points.

**First
homework**,
due Thursday, March 30. Chapter 1, #1-16. (Be sure you understand all of sections
1.1 and 1.2 before attempting the first homework set.)** You may delay #11 and
#12 until assugnment 2 if you wish.**

Notes
on the exercises.

#9:
Be sure to tally the last place votes for all four candidates. What is literally wrong with the way
the tie-breaking criterion is worded? (Imagine a computer programmer taking the
criterion literally!) How
would you word a corrected version?

#10: Notice that the tie-breaking criterion
is better worded in this exercise.

#11,
12: Would strategic voters (insincere ) always
know ahead of time how to cast their ballots? Would it make any difference whether a straw poll were taken
before the actual vote?

#13: You can always proceed by trial and error.