Discuss an application of Linear Programming/Operations Research, such as the transportation model, the scheduling problem, advertising, diversity of investment

The Greek Number System

You will turn in a research paper approximately 800 words. All papers must use footnotes as appropriate and a reference page is required using APA style referencing. In addition, use a minimum of four sources from mixed media, not one of which is permitted to be an encyclopedia. An encyclopedia may be referenced to begin research and may be included among works cited if more than four sources are used. If you plagiarize you will receive a grade of zero! Some suggested topics/projects include: Set Theory Discuss the development of set theory Explain & discuss Galileo’s paradox Discuss the concept of infinite sets and their cardinalities Provide a real application of set theory, such as the use of Venn diagrams in education Other Logic Relate Logic Concepts to Mathematical Properties Create Logic Puzzle with Solution, highlighting the logical reasoning Relate Logic Concepts (truth tables) to Humanities (poem, Alice in Wonderland, Escher…) Other Systems of Numeration An in-depth study of one of the numeration systems covered in class A study of a numeration system not covered in class such as the Babylonian or Greek system A study of the contribution of a particular culture to basic arithmetic, counting, measure, The history of zero Discussion of an Abacus, with a brief history and explanation Discussion of Napier’s Rods, with a brief history and explanation Other Voting & Apportionment Elaborate on the voting possibilities, explaining each and providing examples of real world applications of each Discuss the Electoral College, explaining its strengths & weaknesses, as well as the historical rationale behind it, making certain to address the mathematics of voting Explain the possibilities of apportionment, providing real world examples of each Create your own voting system, explaining each detail and provide an example of how it could be applied. Voting systems in other countries Other Geometry Relate a Geometry topic to another topic covered this semester (logic, self-reference, cultural developments, etc.) Provide an in depth discussion, with examples, of one field in geometry (Euclidian or non-Euclidian) Discuss and illustrate the applications of a topic in geometry (art, travel, architecture, science, business, graphic arts, etc.) Discuss networks & traversability concepts, connecting to applications Complete “For Further Thought” on Page 603, reporting on your findings including, but not limited to, the questions at the end of the exercise Other Algebra/Linear Programming Discuss applications of algebra in the world, explaining how it applies with examples (formulas in business, applications in science & engineering, etc.) Discussion history/origins of algebra Discuss connections between geometry and algebra Discuss an application of Linear Programming/Operations Research, such as the transportation model, the scheduling problem, advertising, diversity of investment, etc Other Other Topics Math in Islamic Art Math in Music Math and a specific sport Math in Nursing Biography of a famous Mathematician and his/her contributions Deaf Mathematicians Applications of mathematics to a particular area of interest (Napier’s Rods and other manipulatives in teaching mathematics, geometry in criminal investigations or the space program, logic in legal arguments, etc) Critique of a media or journal article (ie, voting issues in contemporary politics, or linear programming/operations research in contemporary business models, applications of game strategies in contemporary video games, etc.) Review, discuss, and critique a TV series, movie, book, etc that incorporates mathematics as a basis, addressing its mathematical relevance to this course (“CSI: Cyber”,”Numb3rs”, “A Beautiful Mind”, “DaVinciCode”, “Hidden Figures”, et