MAT 1921 - MATHEMATICS OF GAMES AND GAMBLING

credits: 3.0
An overview of the elementary mathematics used to analyze games of chance, in the theory of probability and the discipline of game theory viewed through the history of gambling. Specific games will analyze include lotteries, poker, blackjack, backgammon, craps, roulette, coin tossing, and variations on these games. The main agenda is to understand the theory, but will take some time to gather data by playing these games or by running computer simulations of these games. Will discuss the history of gambling and students will research and present individual projects focusing on the history, ethics, or psychology of gambling, the societal impacts of gambling, or the role of gambling in works of fiction. Objectives: A) Critically discuss events from the history of gambling; B) Know and apply the basic terminology and notions of probability; C) Count objects using techniques such as the Fundamental Counting Principle, permutations and combinations; D) Calculate the probability of simple events, and apply counting techniques to questions about probability such as binomial probabilities; E) Use basic notions and ideas from the field of game theory, such as the Nash Equilibrium; F) Use mathematics to analyze simple games of chance and two-person zero-sum games; G) Discuss significant issues with regard to the ethics and societal impact of gambling. Method of Instruction: Lecture, discussion and labs. Method of Evaluation: Two 25-point quizzes 50 points, Miscellaneous classroom assignments 50 points, Midterm Math Test, 100 points, Midterm on the phenomenon of gambling 100 points, Final Exam 100 points, Final Presentation on the phenomenon of gambling, 100 points.

Prerequisite(s): MAT 1030 or MAT 1090.