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• Research Topics

For this paper you will research a topic in/using complex analysis that interests you. You will discuss the key ideas, defining terms not known, and discussing the contributions of key characters, importance of the topic, and relevant applications or theorems.

• Riemann Hypothesis.
• Riemann (and other) zeta functions.
• Quaternions.
• Mandelbrot and Julia Sets.
• Poincare' Hyperbolic Disk.
• Schwarz-Christoffel map.
• Joukowski Transformation and Airfoils.
• Visualizing Complex Functions.
• Complex Dynamics.
• Siegel Disks.
• Elliptic Curves and complex tori.
• Riemann surfaces.
• Riemann mapping theorem.

• Deadlines

  • Choose topic by Nov 8

  • Paper due Nov 22
     

• Topic Proposal - Nov 8

Please give me a typed proposal for the topic you plan to research. Not only a topic name, but a discussion of what you plan to do with the topic, resources you plan to use, etc.

• Report Format - Nov 22

All work should be typed with double-spacing and 12 pt font. You will be expected to use correct English grammar and punctuation. This is a report and thus you will use proper sentence and paragraph formatting. Your work should also be supported with properly labeled and embedded plots and equations. References should include articles and books with little use of Wikipedia. Any references used should be cited in the body of the paper as well. This paper will count towards the project component of your grade.

Note, you will be graded on the how well you have followed directions as well as evidence of work, mathematical detail and understanding, proper exposition and neatness, and effort as noted by appropriate length and depth presented.

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