# Math 210 schedule

Tuesday Thursday
Jan. 14

No class
Jan. 16

In Lecture:
• Overview of the course
• Two person games and the media: Why is BS on the rise?
• Strategies in two person games

• On Bullshit (entire book)
• FAPP = For all Practical Purposes, Chapter 15.1
• How math can save your life, chapter 2.

Homework:
A nice example of B.S.
Jan. 21

In Lecture:
• B.S. versus lying, examples from the news.
• Two person zero sum games, continued. Examples involving credibility and the lying benefit.

• On Bullshit (entire book)
• FAPP = For all Practical Purposes, Chapter 15.1
• How math can save your life, chapter 2.

Homework:
Jan. 23

In Lecture:
• Multi-option, two person zero sum games
• Dominant strategies, maximins, minimaxes and saddlepoints
• Proof that maximin <= minimax
• Proof that for a two person two option zero sum game, a dominant strategy exists if and only if there is a saddlepoint. This is not true of larger games.
• For arbitrary zero sum games, if there is a dominant strategy there is a saddlepoint.
• Why speaking bullshit and expecting bullshit form a saddlepoint in the absence of credibility.

• On Bullshit (entire book)
• FAPP = For all Practical Purposes, Chapter 15.1
• How math can save your life, chapter 2.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
Jan. 28

In Lecture:
• Proof of the recipe for finding optimal strategies in a two-person two-option zero sum game

• FAPP = For all Practical Purposes, Chapter 15.1
• How math can save your life, chapter 2.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
Jan. 30

In Lecture:
• The inverse problem for two-person, two-option zero sum games.

• FAPP = For all Practical Purposes, Chapter 15.1
• How math can save your life, chapter 2.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
Feb. 4

In Lecture:
• The inverse problem for two-person, two option zero sum games, continued.

• FAPP = For all Practical Purposes, Chapter 15.1
• How math can save your life, chapter 2.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
Feb. 6

In Lecture:
• Three by three games
• The three planes arising from the rock paper scissors game. The lower left corner is at the point (p_1,p_2,z) = (0,0,-1). The three planes are the graphs of the functions giving the expected payoff as a function of (p_1,p_2,1-p_1-p_2) played by player 1 against the three pure strategies of player 2.
• Linear programming problems
• FAPP = For all Practical Purposes, Chapter 15.1
• How math can save your life, chapter 2.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
• Feb. 11

In Lecture:
• Steps in writing mathematical arguments
• In class discussion of homework 2
• Linear programming problems

• FAPP, Chapter 15.2
• How math can save your life, chapter 2
• Pages 736-739 of Raghavan's article on zero sum two person games
• These notes on linear programming problems and finding optimal strategies.
• The part of this Wikipedia article on linear programming up to the section titled "Augmented form (slack form)".

Homework:
Feb. 13

In Lecture
• Linear programming problems: Real world examples.
• Converting game theory problems to linear programming problems
• Solving linear programming problems with vertices

Homework:
Feb. 18

In Lecture
• A two by three game coming from political advertising

• These notes on using linear programming to study advertising.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
Feb. 20

In Lecture
• A two by three game coming from political advertising, continued
• Beginnnig of the proof that optimal strategies can be determined by linear programming

• These notes on using linear programming to study advertising.
• These notes on linear programming problems and finding optimal strategies.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
Feb. 25

In Lecture
• Proof that optimal strategies can be determined by linear programming, continued

• These notes on linear programming problems and finding optimal strategies.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
Feb. 27

In Lecture
• End of the proof that optimal strategies can be determined by linear programming
• Beginning of the proof that linear programming problems have solutions
• Open and closed subsets of R^n

• These notes on linear programming problems and finding optimal strategies.
• Pages 736-739 of Raghavan's article on zero sum two person games

Homework:
March 3

In Lecture
• Mid-term exam. The results of the exam will be returned by e-mail.

Homework:
March 5

In Lecture
• Games which are not zero sum
• The prisoner's dillemma and the game of chicken.

• FAPP, Chapters 15.3 and 15.4

March 10

No class: Spring Break.
March 12

No class: Spring Break.
March 17

No class: Spring Break.
March 19

No class: Spring Break.
March 24

Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.

Topics:
• Beginning of Probability theory
• Calculation of probabilities for finite sample spaces by counting and combinatorics
• Permuations and Combinations
• The multinomial theorem

• de Groot, "Probability and Statistics," 4th edition, sections 1.4 through 1.9.
• For all practical purposes, Chapters 8.1, 8.2
• How math can save your life, p. 47 - 50

Homework:
March 26

Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.

Topics:
• Conditional probability
• Bayes theorem

• de Groot, "Probability and Statistics," 4th edition, sections 1.8, 2.1, 2.2, 2.3
• FAPP, Chapters 8.1, 8.2
• How math can save your life, p. 47 - 50

Homework:
March 31

Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.

• de Groot, "Probability and Statistics," 4th edition, sections 3.1, 3.2, 3.3, 4.1, 4.2
• FAPP, Chapters 8.1 - 8.5.
• How math can save your life, p. 47 - 50

Homework:
April 2

Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.

• de Groot, "Probability and Statistics," 4th edition, sections 5.1, 5.2, 5.4, 5.6, 6.1 - 6.3
• FAPP, Chapters 8.1 - 8.5.

Homework:
April 7

Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.

Homework:
April 9

Note that you can speed up the videos by clicking on the ``Speed" button on the bottom right of the panopto page.

• de Groot, "Probability and Statistics," p. 236-238, 312.

Homework:
April 14
• Please read over these Notes on epidemic models. After setting up a more general model, the notes discuss a special case which is treated in this paper on epidemic models.

Homework:
April 16

Homework:
April 21

Homework:
April 23

Homework:
• Optional Extra Credit associated with homework assignment 6 (return by May 7).
• April 28