Class project suggestions
(Based on Andrejs Treibergs's webpage)
The class project is a short paper or other original
creative work on any topic of dynamical systems, chaos or fractal geometry related to
this course. For example, you could make a physical model of a chaotic waterwheel, or another mechanical model that is discussed in the text; or you could
choose to do an artistic project based on fractals.
If you choose to write a paper, a good place to start is
the sections of the book we did not cover or covered only
partially, and then, possibly, follow up on one of the references in that
chapter. You could also decide to pick a research paper that
uses methods similar to those we covered in class and prepare a report on
their model, approach and findings.
Here, for example, is a website with a list of potentially suitable papers
at the bottom (they are clickable).
Your report
should be written to be readable by any student taking the course. This
paper gives you an opportunity to explore an interesting topic in more
depth. It also provides a chance to practice writing.
FOCUS! Since the paper is short it should develop one single idea. Formulate your
main point and develop it.
WRITE MATHEMATICS! The paper should provide some history of the problem and motivate
the results. It should include some theorems and their proofs or models and their
analyses. Provide sufficiently large diagrams and tables where appropriate. Summarize
and interpret the results.
BE SCHOLARLY! Support your writing with attributable references, such as mathematics
books and articles from mathematics journals.
Internet sources should be referenced by the author
and should include a complete URL and the date accessed.
WRITE WELL! Your paper should have good technical writing style and not be chatty.
By submitting this assignment, you are representing
that it is your own work and that you have followed the rules associated with the assignment.
Incidents of academic misconduct (including cheating, plagiarizing, research misconduct,
misrepresenting ones own work, and/or inappropriately collaborating on an assignment) will
be dealt with severely, in accordance with the Student Code
(http://www.regulations.utah.edu/academics/6-400.html).