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Math 110 Project

Outline of guidelines for Math 110 project.

Metropolitan State University Spring 2015 Math 110: Math for Libral Arts Project Description The goal of this project is to find a mathematically oriented topic that interests and excites you and explore it thoroughly. The project will make up 20% of your grade and will comprise of two parts: 1. a paper (worth 15% of your final grade) and 2. a presentation (worth 5% of your final grade). Both will be relating to the same topic. A list of topics is attached. This project will be most successful if you challenge yourself to learn as much as you can about your topic and then teach us what you learn. When addressing your topic, make sure that you do not just restate what we learned in class. The Paper The paper is to be 3-6 pages typed (no crazy large fonts or extreme spacing) due the last day of class (April 28). If you have graphs or calculations that you do not want to type you may hand write them into the paper–just as long as they are legible. You should clearly type the question you are addressing at the top of your paper and make sure that it is clear that you have attampted to address all aspects of the question throughout your paper. You are not required but are highly encouraged to turn in a draft of your paper. The paper will be graded on: basic grammar, spelling, etc clarity organization insightfulness thoroughness in investigation into the question being addressed The Presentation The presentation is to be roughly 15 minutes long given on the last day of class (April 28th). It should discuss the question you addressed in your paper but need not cover every aspect of your paper. The presentation will be graded on: basic speaking skills (volume, eye-contact, pacing, etc) preparedness organization sensitivity to audience Due Dates: March 17: Topic chosen April 14: Paper draft due April 28: Paper due and Presentation use of visual aids clarity creativity Topics Note that your topic must be chosen by March 17 (you may e-mail me or discuss this with me in class). However, to avoid having multiple presentations on the same topic, only one person may choose each topic. This means that the topics will be chosen on a first-come/first-served basis so it is best to request your topic choice well before March 17. These topics come from the text (their page numbers are listed). They relate to various topics that we will cover during the course of the semester and they are of varying degrees of mathematical difficulty. Note: Some of the topics are slightly more open-ended, but I still expect that your paper is addressing a specific thesis and answers specific questions–you may have to develop yourself. 1. Ballots, Ballots, Ballots! (p.35) 2. Instant Runoff Voting (p.35) 3. The 2000 Presidential Election and the Florida Vote (p.35) 4. The Johnston Power Index (p.66) 5. The Past, Present and Future of the Electoral College (p.66) 6. Mathematical Arguments in Favor of the Electoral College (p.67) 7. Envy-Free Fair Division (p.103) 8. Fair Divisions with Unequal Shares (p.103) 9. Dean’s Method (p.135) 10. Appointment Methods and the 2000 Presidential Election (p.135) 11. Rank Index Implementations of Divisor Methods (p.135) 12. The First Appointment of the House of Representatives (p.136) 13. Original Sources (p.173) 14. Computer Representation of Graphs (p.173) 15. The Chinese Postman Problem (p.173) 16. The Nearest-Insertion Algorithm (p.204) 17. Computing with DNA (p.204) 18. Ant Colony Optimization (p.205) 19. Other Algorithms for MSTs and MaxSTs (p.226) 20. Djkstra’s Shortest-Path Algorithm (p.226 and p.258) 21. Worst-Case Analysis of Scheduling Algorithms (p.258) 22. Tournaments (p.258) 23. Three-Dimensional Rigid Motions (p.355) 24. Fractal Dimension (p.387) 25. Fractal Antennas (p.387) 26. The Golden Ratio in Art, Architecture and Music (p.411) 27. The Golden Ratio Hypothesis (p.411) 28. What’s the Latest? (p.445) 29. The Placebo Effect: Myth or Reality? (p.445) 30. Ethical Issue in Clinical Studies (p.445) 31. Lies, Damn Lies, and Statistics (p.477) 32. Data in Your Daily Life (p.477) 33. Book Review: Curve Ball (p.477) 34. A History of Gambling (p.515) 35. The Letters Between Pascal and Fermat (p.515) 36. Confidence Intervals (p.543) 37. Book Review: The Bell Curve and Rebuttals (p.543) 38. Make Your Own: You may construct your own idea for a project topic. In order to do so you will need to submit a detailed description of your topic choice along with a list of questions that you will address in your paper. This topic must be approved by me before March 17.