Math 105 - Term Project
Game Analysis and Design
Assigned Feb 26th
The purpose of this project, worth 15% of your final grade, is to improve your research, writing
and communication skills as well as give you an opportunity to explore in-depth a particular
area of finite mathematics. This project will involve investigating the mathematical nature of a
game of your choosing in consultation with me.
This project is a group project.
You must select a partner for this project and your topic for you presentation by Thursday,
Your project can be one of the two following types:
In either case, your topic must be approved by me.
- Investigate the mathematical properties of a game.
One option for this type of project is to read a chapter from our book "Luck, Logic
and White Lies" that has not been covered in class, concerning Blackjack, Monopoly, Go,
or Backgammon. Alternatively, you can investigate a game of your own choosing. I recommend
selecting a game from the following list, or searching for games on
- Ticket to Ride
- Power Grid
- Modern Art
- Settlers of Catan
- For Sale
- No Thanks
- Lost Cities
- Daddy Cool
- Design your own game and discuss its mathematical properties.
While this project type may be more daunting, it can also be more rewarding to see your ideas
come to life in a game. Your game must fit these guidelines:
- The game must make use of a randomizing device, either die or cards.
- The player must have meaningful choices in the game.
Your paper must be at least 5 pages. You should summarize the main idea of your
game choice. You must analyze at least three ways that your game incorporates the
properties we have discussed in class. These do not have to be unique topics, but
you must have three distinct examples of using finite mathematics within the game.
You should include the mathematical formulas you use to analyze the game.
Finally, a 10 minute in-class presentation will be required. Time and material
should be split evenly between all project partners. Your objective in
the presentation is to fill us in on the main ideas of how mathematics
is found in your topic. Leave
at least one (1) minute for questions at the end of your presentation.
Practice is strongly encouraged prior to your actual presentation. The best
way to be comfortable with presenting in front of an audience is to practice.
You will be graded on both the organization and the presentation
of your talk. The 10 minute time-limit will be strictly enforced to
ensure equal time for all presentations.