Through this process, you will write what might be your first technical research paper. I know that the concept of writing a paper in a math class seems odd, but as you do more research you will find that most discussion and research in math is usually presented in written form first and then followed up with symbolic representations such as equations, data, statistics, sample problems, and formulas. Your final paper should be 1500 to 1750 words long (the equivalent of approximately 5 double-spaced, type written pages), not counting citations or pictures. Originality: You are encouraged to use references, written or otherwise, but create the paper entirely on your own. Your final paper is a pledged assignment and must be original work, never submitted in any other venue in whole or part by you or anyone else.
• Language: Quotations should be rare and brief, appearing only when the wording of the quotation is itself important or memorable. Quotations should always be attributed to their authors. The structure and style of a passage or paper also belong to its author and may not be copied without full attribution.
• Independence: You may not work with anyone else on an individual the paper. You may get technical information from a knowledgeable person (e.g. a mathematician or an engineer) as long as you do the thinking about that information and you write the paper.
• Sources: The paper is a research paper—you are expected to synthesize your own understanding of your object or situation, although that understanding may be based in part on information collected elsewhere. Visit the library. If you use the web, remember that the web is entirely unedited and contains a great deal of misinformation. You must cite your sources in the body of your paper wherever appropriate and you must include a list of works cited and/or a bibliography at the end of your final paper. These lists should include any people or online materials that you consulted while preparing your paper. Here is a long list of possible topics in no particular order. Feel free to take one of these ideas or come up with one of your own. History of Algebra History of Correlation Coefficient, r Study of Female Mathematicians Study of Minority Mathematicians Where did ? originate? History of the Quadratic Formula Study of Applications and Mathematics of Venn Diagrams History and Development of the Graphing Calculator CAD and Mathematics – what is the connection? History of the Coordinate Plane Mathematics in Movies and Film Mathematics in Literature: are their any novels about math??? What are Imaginary Numbers? What are they used for? Where did they come from? Research any individual mathematician, symbol, or math concept. History and Development of the exponent including the life accomplishments of one of the mathematicians who influenced the development of exponents as well as the influence of the arts/ religion, or politics in his/her work. Impact of Mathematics in Art History of Cubism Is there a fourth dimension? how is it used, where is it? Careers in Mathematics Cartography How is math used in your technical field? What is a fractal? History and Uses of the Golden Ratio History of Black Women in the Mathematical Sciences Aristotle’s Contributions to Mathematics History of the Abacus Cryptology, Cryptography, and Electronic Security Systems Math Anxiety (Fear of Math) Gender and Capacity for Learning Mathematics Napier’s Life & Works The Life and Works of Euclid Who is Soloman Lefschetz? Mathematics Concepts in Photography Calculating Supply and Demand: Algebra’s relationship with Economics Einstein’s Mathematics What is Graph Theory? Linear Algebra History of Pythagorus, the Philosopher, the Mathematician The derivative in Average and Instantaneous Velocity Probability of winning the lottery and America’s facination with Games of chance Evaluation of the Probabilities involved in various games of chance, including casino and carnival games. The Importance of Mathematics in Early Greek Culture The Art, Science, and Mathematics of M.C. Escher A mathematical Analysis of the fund raising profits after the tragedy of 09/11/01 The mathematical analysis of a good diet. Biomechanics and mathematics involved in training a professional athlete or Olympic champion How does the NBA design a schedule to bear in mind minimizing travel distances and home team advantage? What are the mathematical ideas involved? History of Numbers, what is a “Big Number”, is there a zillion number? What is a Frieze Pattern? How/ where are they used? Investigate the space shuttle’s failed attempt to put a tethered satellite into orbit. What is a Fibonacci Number? Where are they used? History and Uses of Catalan Numbers. Investigate Morley’s Triangle History of the “Tower of Hanoi” Problem What is the Traveling Salesperson’s Problem? Explore the attempts to solve it. Explore Egyptian Fractions How do Computer Bar Codes Work? What is the “Parabolic Reflector Microphone” and how does it work? Magic and Mathematics Piano Repair and its connections to Algebra Mechanical Drafting and Architecture’s connections to Mathematics How does Lifeguarding deal with Mathematics? Algebra and Trigonometry of hearing and sounds Computer Game Designer: The secret to all the animation is Mathematics.
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