Professor H. L. Bray
        Teaching

Math 112L:
Research Faculty Interactions

Spring Semester, 2020
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 and Fridays, 11:20 a.m. - 12:30 p.m.


Syllabus and Course Information

A big part of this course is based on videos you will watch before class. Give yourself time to digest the material since you will be quizzed on it at the beginning of most classes.

Take notes! You may use NONDIGITAL notes that YOU take in YOUR HANDWRITING on REGULAR PAPER during all of the quizzes! However, you may not use electronic devices, the internet, photocopies of notes, digital copies of notes, or even notes that you typed (since authorship is impossible to determine) during the quizzes. However, you may use as many pages of notes as described above as you like.


Friday, January 10:
SumOfCubes-Color.png PictureEquation.png
Click here for the pdf notes of the in-class lecture on the sums of powers of the integers.


For Friday, January 17, 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
Take notes! The quiz on Friday is open notes and can cover anything we've done so far.


For Friday, January 24, 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
Take notes! The quiz on Friday is open notes and can cover anything we've done so far.


For Friday, January 31, 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
Take notes! The quiz on Friday is open notes and can cover anything we've done so far.


For Friday, February 7, 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 14, 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?
Take notes! The quiz on Friday is open notes and can cover anything we've done so far.


Friday, February 21: The RFI does not meet because students have a Calculus exam at this time.


For Friday, February 28:

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 6:

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
Take notes! The quiz on Friday is open notes and can cover anything we've done so far.


Friday, March 13: No class - Spring Break


For Friday, March 20, watch these videos:

3.09 How Velocities Add
3.10 How Velocities Add, Part 2
3.11 How Lengths Contract
Take notes! The quiz on Friday is open notes and can cover anything we've done so far.


Friday, March 27: The RFI does not meet because students have a Calculus exam at this time.


For Friday, April 3, 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
Take notes! The quiz on Friday is open notes and can cover anything we've done so far.


For Friday, April 10:

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.


Friday, April 17: The RFI does not meet because students have a Calculus exam at this time.



Here are some more videos that you might enjoy:

3.02 Rotations and the Dot Product
3.03 Gauss's Geometry and Special Relativity