Math 116   Winter 2006   Robert Brown

4:30 Lecture

 

Teacher:  Robert Brown

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

Lectures:  MWF 4:30-5:18, in EA 160

Recitations: TuTh at 3:30 and 4:30

Office Hours: MWF 2:30-4:15 and by appt, except for occasional days to be announced later

Website: http://www.math.ohio-state.edu/~rbbrown/math116wi06

 

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

 

Rough guide to daily topics

 

Weeks 1, 2, and 3: Voting.  Textbook Chapters 1 and 2.  Midterm 1: Friday, Jan. 20.

Weeks 4, 5 and 6: Apportionment.  Textbook Chapter 4. Midterm 2, Feb. 10

Weeks 7, 8, and 9:  Auctions.  Handouts.  This topic is not in the textbook.  Midterm 3: Mar. 3

Week 10: Fair Division.  Textbook Chapter 3.

 

Important dates

 

Midterm 1: Fri. Jan 20

Midterm 2: Fri. Feb. 10

Midterm 3: Fri. Mar. 3

FINAL EXAM for 4:30 lecture:  Mon., March 13,  3:30-5:18 in our classroom.

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

 

Homework:  Due Friday Jan. 6 and every Thursday thereafter. 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 the odds will be eventually eliminated.

 

Grading:  Your homework will be worth 100 points (10 points each), 

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

 

First homework, due Fri, Jan. 6:

Chapter 1, #2, 4-14.  (Be sure you understand all of sections 1.1 and 1.2 before attempting the first homework set.)

 

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? (Just 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 insincere voters 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.