Teaching

Research Faculty Interactions

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.

189 Physics Building (919)757-8428 (mobile)

Office Hours: Tuesdays, 11:30 a.m. - 1:30 p.m.

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