Math 116 Winter 2006 Robert Brown

1:30 Lecture

Teacher: Robert Brown

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

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

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 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.