Professor H. L. Bray
Teaching
Math 112L:
Research Faculty Interactions
Spring Semester, 2019
Fridays, 10:05 - 11:20 a.m., Physics 130
Professor
Hubert Bray
bray@math.duke.edu
189
Physics Building
(919)757-8428 (mobile)
Office
Hours: Tuesdays, 11:30 a.m. - 1:30 p.m.
Videos for this class are posted at https://services.math.duke.edu/~bray/Videos/ and https://services.math.duke.edu/~bray/Videos/.
Take notes! You will be allowed to use your notes during your quizzes on these videos in class.
For Friday, January 11, watch these videos:
2.01 The Kelly Criterion: Triple or Nothing
2.02 The Kelly Criterion: Quadruple or Nothing
2.03 The Gambler's Ruin
For Friday, January 18, watch these videos:
2.04 The Kelly Criterion - The 0-1-2-3 Game
4.01 Intro to General Relativity
4.02 The Geometry of Black Holes
For Friday, January 25, watch these videos:
1.01 Types of Ballots in Elections
1.02 Who Wins a Preferential Ballot Election
1.03 Plurality and Instant Runoff Voting
1.04 The Unit Interval Model
1.05 Instant Runoff Voting is NOT Monotone
For Friday, February 1, watch these videos:
1.06 The Margin of Victory Matrix
1.07 The Borda Count
1.08 The Borda Count is NOT Clone Invariant
1.09 The Borda Count and Nuclear War
1.10 Instant Runoff Borda is Condorcet
1.11 Instant Runoff Borda and the Unit Interval Model
Take notes! The quiz on Friday is open notes and can cover anything we've done so far.
Also, as described in class, survey 15 people on a question with 15 choices,
such as "What is your favorite flavor of ice cream?" Print out 16
ballots, with instructions, which people can fill out by putting a 1 by
their first choice, a 2 by their second choice, etc., and a 15 by their
15th choice. Fill out a 16th ballot yourself which you will designate
the tie breaking ballot. Then go to www.wevotehere.org, click on
"Create an Election" and then "Spreadsheet Election" and then follow
the instructions. The web page will think for a few minutes and then
return a spreadsheet which you can download which tells you which
choice won the election, the ranking of all of the choices, as well as
many other things about the election.
Turn in THREE things to me by email, by class on Friday: The ballot you created, the
spreadsheet produced by the web page, as well as a 1 page summary that
you write which includes the question, the 15 choices (in order that
they were ranked), and what you found interesting about the results.
Put "RFI" in your email subject headline (stands for Research Faculty Interactions) so that I know this is
homework you are turning in. Be prepared to discuss your survey in class - I will call on random students.
Also, use this format for the files you turn in by email:
XYZ_Ice Cream
Survey_Ballot.docx
(or .pdf, or whatever)
XYZ_Ice Cream Survey_Computer Results.xlsx
XYZ_Ice Cream
Survey_Summary.docx
(or .pdf, or whatever)
where XYZ represent your initials and you put the title of you survey where it says "Ice Cream Survey."
For Friday, February 15, watch these videos:
1.12 The Game Theory of Condorcet Methods
1.13 Worst Defeat
1.14 The Schulze Method
1.15 Ranked Pairs
1.16 Comparison of Vote Counting Methods that use the Margin of Victory Matrix
1.17 What is Democracy?
For Friday, February 22:
Be prepared for a quiz on everything we've learned so far.
For Friday, March 1:
As described in class, survey two different groups of 15 people
on a question with 15 chioces. The goal will be to see if the two
groups have different opinions on your question and, if so, what those
differences are. Discuss whatever you found interesting about the two surveys in one
joint summary document. Did you find a Condorcet choice in each survey?
Were there cycles in people's preferences? What surprised you or did
not surprise you?
Turn in FOUR things to me by email, by class on Friday: The ballot you created, the
2 spreadsheets produced by the web page for each of the 2 surveys, as well as a 1 page summary that
you write which includes the question, the 15 choices (in order that
they were ranked), and what you found interesting about the results.
Put "RFI" in your email subject headline (stands for Research Faculty Interactions) so that I know this is
homework you are turning in. Be prepared to discuss your surveys in class - I will call on random students.
Also, use this format for the files you turn in by email:
XYZ_Ice Cream
Survey_Ballot.docx
(or .pdf, or whatever)
XYZ_Ice Cream Survey_Computer Results for Group 1.xlsx
XYZ_Ice Cream Survey_Computer Results for Group 2.xlsx
XYZ_Ice Cream
Survey_Summary.docx
(or .pdf, or whatever)
where XYZ represent your initials and you put the title of you survey where it says "Ice Cream Survey."
For Friday, March 8, watch these videos:
3.01 The Rule of Pythagoras
3.04 Special Relativity is a Minus Sign in the Rule of Pythagoras
3.05 The Light Cone
3.06 The Universality of the Speed of Light
3.07 World Lines and the Twin "Paradox"
3.08 Boosts are Rotations in Space and Time
Do your best to understand the ideas in the videos, and take good
notes. Remember that you get to use your notes during the quiz.
For Friday, March 29, watch these videos:
3.09 How Velocities Add
3.10 How Velocities Add, Part 2
3.11 How Lengths Contract
Do your best to understand the ideas in the videos, and take good
notes. Remember that you get to use your notes during the quiz.
For Friday, April 5, watch these videos:
3.12 The Train in the Tunnel Paradox
3.13 De Sitter Space: The Spacetime Unit Sphere of Special Relativity
3.14 Hyperbolic Space The Spacelike Unit Sphere of Special Relativity
Do your best to understand the ideas in the videos, and take good
notes. Remember that you get to use your notes during the quiz.
For Friday, April 12:
Be prepared for a comprehensive quiz covering all of the material we learned during our Friday lectures
together.
The quiz is open notes, but not "open video." Hence, you might
re-watch some of the videos and take notes for use during the quiz.
Here are some more videos that you might enjoy:
3.02 Rotations and the Dot Product
3.03 Gauss's Geometry and Special Relativity