MATH 565 Spring 2011
Each student will do one unique project where they apply the tools learned in class to solve a nonlinear equation or system of linear equations. The project should be related to an application from your research or it can be based on a method not covered in class. The goal of the project is different than that of homework problems because it is a research assignment that has a general goal, but may not have a clear direction or answer. You are supposed to use the knowledge acquired in class, to think about the problem for several days, to ask new questions and to try to answer them, to stir your imagination, and to search for suitable references. Start as soon as possible, and let your subconscious work for you.
- Pre-proposal and proposal
A successful project will be well designed, therefore you will submit both a pre-proposal and proposal. The final proposal will include any suggestions I make in the pre-proposal, and each should be about one typed page in length. They are due October 10 and 21.
- Progress Report
This will be a short report on your progress. Include any unexpected problems and how you have resolved or are planning to resolve them. This report does not need to be any longer than one or two typed pages. This is due November 16
- Written report
The final research paper should include an introduction, methods, results, and discussion section accompanied by tables and graphs illustrating your results. Motivate why one would want to study this problem, justify the equations, describe what type of phenomena they describe and outline the questions you addressed or explored in your project. Include graphs and tables, but make sure they are used to explain your point or make a conclusion. All tables and graphs must be referenced in the text. In addition, use complete sentences, good grammar and correct punctuation in your mix of equations, formulas and prose. Your report should be written in such a way that it can be read and understood by anyone who knows the material in this course. You will be graded on your written presentation as well as the mathematical content.
A one-page executive summary or abstract should also be included at the beginning of the report. Write this in non-technical language for the reader who has an interest in the research question but does not have any technical training. It must state briefly: (1) the research question and why it is important; (2) the methods used to study the question; (3) the findings and what they mean; and (4) what action you recommend on the basis of your findings.