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.