Your Final Project
Overview:
- Turn in an brief proposal of between 1/2 and one page by Monday, November 29. I will return this
with a bunch of feedback which is likely to include advice on how to limit
the project so that you can do it in a reasonable amount of time.
- Then the entire project is due at 5:00 pm Wednesday, December
15. The due date is very firm.
- It should not take over 15 hours
work total, and should be 5 to 10 pages in length including programs and
outputs. Please edit you project to produce a reasonable document with the usual standards for written English and for readability. Mere length will definitely not be rewarded.
Possible subjects (Suggestions!):
- If you have an existing project or interest, for which there is a numerical
task, then I encourage you to do it here. Come talk to me about it soon,
and we will figure out an appropriate form for the project.
- Do one of the subjects not already covered in the course but which appear in the text. Suggested topics, to get you thinking: robust equation solvers
in one dimensions (e.g. "Brent's" method), more on Newton's method for systems of several equations in several variables,
optimization of functions, solving systems of linear equations using complex
numbers, computing eigenvalues in practice, solving systems of ODEs, boundary
value problems for ordinary differential eqns, anything with a partial
differential equations.
- Serious numerical analysis discussion of (and use of) one of Matlab's numerical abilities. For instance: sparse matrix support, how some particular toolbox works, ODE solving, DDE solving, boundary-value solving, triangular mesh tools,...
To do:
Step one is to decide on a subject that interests you.
Step two is to decide in outline what to do. Be clear in your
mind whether the project will involve programming, or not; a real world problem
or not; and mathematical theory or not. These parts will be the overall
structure of your project.
Step three is to get feedback from me, first of all by turning in a proposal on 11/29. Furthermore, you are encouraged to email me at any point with ideas or questions. (I will
return your proposal/preproject with comments and suggested alterations.)
Step four is to do what you have outlined. It may be that you
discover the need to do things a different way, once you actually start working
on it. If such an issue comes up and it is a significant change
to your plan, please let me know, for instance by email.
Ed Bueler’s office Chapman 301C; phone 474-7693; email ffelb@uaf.edu; web page http://www.math.uaf.edu/~bueler/.