Math 116 Winter 2006 Robert Brown
Teacher: Robert Brown
Office MW710 292-8888 email@example.com
Lectures MWF 1:30-2:18, in PH 1184
Recitations TuTh at 1:30 and 2:30
Office Hours: MWF 2:30-4:15 and by appt, except for occasional days to be announced later
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.
Midterm 1: Fri. Jan 20
Midterm 2: Fri. Feb. 10
Midterm 3: Fri. Mar. 3
FINAL EXAM for 1:30 lecture: Mon., March 13, 1:30-3:18 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.