Monday, August 20: Introduction,
Preference ballots and preference schedules, the plurality method
Wednesday, August 22: The plurality method and Borda count method
READ sections 1.1-1.3 and bring in a 4x6 note card
with the following:
- notes on the 3 sections
- answers to the following questions:
What are the pros and cons of the plurality method? Of the Borda
method?
- a question that you have after doing
the reading (something you don't understand, or something that you
wonder about)
Friday, August 24: The plurality-with-eliminations method and the
pairwise comparisons method
READ sections 1.4-1.5 and bring in a note card with
the following:
- notes on the 2 sections
- answer to the following question:
What are the pros and cons of these two methods?
- a question that you have
Monday, August 27: Ranking methods
READ section 1.6 and the chapter conclusion.
Question: What is the difference
between an
extended ranking
system and a
recursive
ranking system?
(include notes and your own question as
usual)
Wednesday, August 29: Wrapping up voting methods
Find an article (in a newspaper or magazine)
that relates to the voting theory that we have been discussing in class.
Turn in a copy of this article, together with
a note card containing:
- a summary of the article
- how it relates to the
content from class
- a question that it leads
you to ask
Homework 1 due by 5
pm in the mailboxes near the front doors of Cardwell.
Friday, August 31: Fair division problems
READ the introduction to chapter 3 and sections
3.1-3.2.
Question for the note card: Why it is better to be
the chooser in the divider-chooser method for two players?
(include notes and your own question as usual)
Monday, September 3: NO CLASS - Labor Day Holiday
Wednesday, September 5: The lone divider method
READ section 3.3.
Question: What is the main idea behind the lone
divider method and why it works?
Homework 2 due by 5
pm in the mailboxes near the main doors of Cardwell.
Friday, September 7: The lone chooser method
READ section 3.4
Question: Which player or players have the advantage
in the lone chooser method?
Monday, September 10: The last diminisher method
READ section 3.5
Question: Do you like this method better or worse
than the two previous ones? Why?
Wednesday, September 12: The method of sealed bids
READ section 3.6
Question: What are the advantages and disadvantages
of the method of sealed bids?
Homework 3 due by 5
pm
Friday, September 14: The method of markers
READ section 3.7
Question: In what kind of situation does the method
of markers work well?
Monday, September 17: Review
Bring in a note card with a question that you have
on the exam material.
Review problems for the exam:
- pg. 30 #1, 3, 5, 7, 13, 15, 17, 19, 21,23*, 25*, 27, 29, 31, 33,
35, 37, 39, 41, 43, 45, 47, 49, 51, 55, 57*, 59*, 61*, 63*, 65*, 67*,
73*, 75*
- pg. 111 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29,
31, 33, 35, 37, 39, 41, 43, 49, 51, 53, 55, 59, 61, 63, 65, 67, 69*, 75*
The problems with * are ones that are more
challenging than what I would put on the exam, but are good tests of
whether you've really got it.
Wednesday, September 19: EXAM 1 - Chapters 1 and 3
Homework 4 due by 5
pm
Friday, September 21: Euler circuits and graphs
READ the introduction to chapter 5 and sections
5.1-5.2
Question: Why might a graph be useful in solving a
routing problem?
Monday, September 24: Graph terminology and graph models
READ sections 5.3-5.4.
Question: What is an example of a situation with a
graph model that has NOT been mentioned in the text?
(Don't forget that your note cards should include
notes and a question that you have, as well.)
Wednesday, September 26: Euler's theorems
READ section 5.5
Question: Why it is helpful to know the degrees of
the vertices of a graph?
Homework 5 due by 5
pm
Friday, September 28: Fleury's algorithm
READ section 5.6
Question: Why are bridges so significant in finding
an Euler path or Euler circuit?
Monday, October 1: NO CLASS
Wednesday, October 3: Eulerizing graphs
READ section 5.7
Question: What is the purpose of eulerizing a graph?
Homework 6 due by 5
pm.
Friday, October 5: Fibonacci numbers and the golden ratio
READ the introduction to chapter 9 and sections
9.1-9.2
Question: How are Fibonacci numbers and the golden
ratio related?
Monday, October 8: Golden rectangles
READ the handout given in class.
Question: What is so special about golden rectangles?
Wednesday, October 10: Review
Bring in a note card with a question you have on the
exam material.
Homework 7 due by 5
pm
Review questions:
- pg. 185: #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23,25, 27, 29,
31, 33,35, 37, 39, 41, 43, 45, 47, 49, 51, 53*, 57*, 59*
- pg.329: #1, 3, 5, 7, 9*, 13* , 15*, 19*, 21*, 23,
25*, 27*, 29, 33*, 51, 53, 55*, 57
Friday, October 12: EXAM 2 - Chapters 5 and 9
Monday, October 15: Rigid motions and reflections
READ the introduction to Chapter 11 and sections
11.1-11.2
Question: Draw an example of a reflection and
of a rigid motion which is NOT a reflection.
Wednesday, October 17: Rotations and translations
READ sections 11.3-11.4
Question: What are some real world examples of
rotations and translations?
Friday, October 19: Glide reflections and symmetry
READ sections 11.5-11.6
Question: Find 3 pictures of objects with
different kinds of symmetry. What kinds of symmetry do they have?
Monday, October 22: Patterns
READ section 11.7
Question: Why do you need patterns to have symmetry
given by translations and glide reflections?
Wednesday, October 24: Fractals and the Koch snowflake
READ section 12.1 **Don't
worry about the reference to the geometric sum formula - we have not
done this.**
Question: Explain in your own words what
self-similarity is.
Homework 8 due by 5
pm
Friday, October 26: The Sierpinski gasket and the chaos game
READ sections 12.2-12.3, and observe the chaos game
at the web page given at the end of 12.3.
Question: Explain how the chaos game works, and what
happens if you play it thousands of times.
Monday, October 29: The twisted Sierpinski gasket
READ section 12.4.
Question: What is the difference between the
(ordinary) Sierpinski gasket and the twisted one?
Wednesday, October 31: The Mandelbrot set
READ section 12.5
How can you tell if the seed of a Mandelbrot
sequence is in the Mandelbrot set?
Homework 9 due by 5
pm.
Friday, November 2: Review
Bring in a note card with a question you have on the
exam material.
Project topics due -
also bring in a note card with a short description of your topic.
Review questions:
- pg. 394: #1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25, 27, 29, 31,
33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53*, 55*, 57*, 59*, 65*, 67*
- pg. 434: #1, 3, 7, 9, 11, 13, 15*, 19, 21*, 25, 27, 29*, 31*, 33,
35, 37*, 39*, 41, 43, 45, 47, 49, 51, 53
Monday, November 5: EXAM 3 - Chapters 11-12
Wednesday, November 7: Population
READ the intro to chapter 13 and section 13.1
What the difference between the population and the
N-value?
Homework 10 due by 5
pm
Friday, November 9: Sampling
READ section 13.2
What are some of the challenges in sampling?
Monday, November 12: Random sampling and terminology for sampling
READ sections 13.3-13.4
How does random sampling work, and what are some
problems that can still occur when using it?
Wednesday, November 14: The capture-recapture method and clinical
studies
READ sections 13.5-13.6
How do clinical studies differ from the surveys we
have discussed so far?
Friday, November 16: Graphical descriptions of data and variables
READ the intro to chapter 14 and sections 14.1-14.2
What role to variables and graphical descriptions
play in understanding data?
Monday, November 19: Numerical summaries of data
READ section 14.3
Question: What is the purpose of having numerical,
rather than visual, representations of data?
TUESDAY, November 20:
Homework 11 due
by 5 pm
** Note the early due date, since there are no
classes on Wednesday.
Monday, November 26: Measures of spread
READ section 14.4
Question: Why are these measures important?
Wednesday, November 28: Random experiments and sample spaces
READ the intro to chapter 15 and sections 15.1-15.2
Question: What is a sample space?
Homework 12 due
Friday, November 30: Permutations, combinations, and probability spaces
READ sections 15.3-15.4
Question: What are permuations and combinations, and
what do they have to do with probability?
**Projects due
Grading rubric to be
used
Monday, December 3: Equiprobable spaces and odds
READ sections 15.5-15.6.
Question: What is the difference between odds and
probability?
Wednesday, December 5: Review
Bring a note card with a question for review.
Homework 13 due
Friday, December 7: Review
Friday, December 14: Final exam
Review problems:
- pg. 467 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29,
31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 67
- pg. 499 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29,
31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51*, 53*, 55, 65*, 67, 69, 71*,
75*
- pg. 531 #1, 3, 5, 7, 9, 11. 13, 15, 17, 19, 21, 23, 25*, 29, 31,
33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65,
67*, 69*, 71
Back to Julie Bergner's home page
http://www.math.ksu.edu/~jbergner/math160.html
Last modified: 3
December 2007