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Deadlines

• Research Paper Proposal (March 27th)
• Progress Report (April 10th)
• Final Paper (April 26th)

Assessment - 100 pts

• Proposal (10 pts) - A description of the topic and resources you will use as complete as possible with your goals. This should be typed, written using sentence structure and using an equation editor (or LaTeX.)
• Progress Report (20 pts) - Report progress towards your goals. What are the major theorems and/or examples? Provide as much detail as possible, including mathematics. The more you provide the easier the next steps will be.
• Final Paper (30 pts) - You will be graded on the evidence of work, mathematical detail and understanding and proper exposition. This project should be as close to done as possible in all aspects of research. You are to provide your current webpage, MS Word file, and/or PowerPoint slides.
   

Contents

You should make every effort to be as complete as possible in your work. Items, which are important are as follows:

• Author(s) and Title - Clear and to the point.
• Abstract/Short Description - Lead off with an overall description of what the reader will find in your paper.
• Introduction - Every paper should have an introduction to summarize your topic and what you are about to say.
• History - Be sure to include the history behind your topic and include interesting characters.
• Theory - Provide a solid mathematical background, using correct mathematical writing style where possible.
• Relevant Graphics - Make use of graphics, but mostly when making a point.
• Examples - Provide interesting examples with worked out details.
• Summary - Provide a summary of what you have presented and what you have learned.
• References - Do not forget references. Reference anything that is not your own work using proper referencing format. Your references should include texts and articles. You may also add to you list references to articles online as long as they are reliable.

Paper Writing

• If you use MS Office, then you are expected to use the built-in Equation Editor. All important equations need to be numbered and set off from the text.
• You may use LaTeX. See the LaTeX help for more on this.
• There are a variety of conventions for writing papers in mathematics. For a description of how to write papers in mathematics go to this site.

Topic Ideas

Here are some topics to get you thinking. Of course, there are many others. You will need to be a little more specific in your choice and all topics will need prior approval. You must clearly demonstrate a direct connection with the course.

• Riemann Hypothesis
• Quaternions
• Mandelbrot and Julia Sets
• Poincare' Hyperbolic Disk
• The Smith Chart
• Joukowski Transformation and Airfoils
• Visualizing Complex Functions
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