MCS 355 Final Project
I. Research And Teaching Topics
For these projects you would review the material in an area of
scientific computing that we have not covered. You would look at at
least two other references (textbooks, journal articles, web
related material, and write a paper designed to teach the rest of
us about this topic. Your paper should include background
on the topic and a detailed exposition of the topic.
A few ideas (by no means exhaustive) :
1) Finding Roots of Systems of Non-Linear Equations
II. Applications of Course Material
2) NURB splines in Computer Graphics
3) Bezier Curves and their application
4) Numerical Quadrature (Integration)
5) Boundary Value Problems in Ordinary Differential Equations.
6) ODE - Adaptive Methods
7) Optimization - Conjugate Gradient Method
8) Optimization - Simplex Method
9) The Fast Fourier Transform
For a project of this kind you would present a physical problem, the
mathematical model associated to the situation, a solution of the model
using techniques covered in our course,
and background and historical information on the problem.
A couple of ideas:
1) Beam deflection - Handout
2) Mathematical Models of Neurons - Idea Module
3) Oscillating Chemical Reactions - Idea Module
4) Fishing for Profit - Idea Module
There are other possible topics at the Idea website:
Idea link: http://www.idea.wsu.edu/projects.php
1) References: You should consult at least two references
(textbooks, journals, web resources). For
applications projects, you may wish to look at a physics (or biology or
engineering or chemistry or economics) book for more info on the underlying theory.
2) Project Paper: This should be at least four pages in
For the research projects, your paper should include background
material plus a detailed and precise development of the
the application project, the paper should summarize the
being modeled, the mathematical model used, the algorithm used to solve
the differential equations in the model, printouts of computer runs,
and background material as to the history of the problem.
3) Final Presentations:
These will be given during the
two days of the class, May 14-15, and during the final exam period of
the class, Friday May 18 from 8:00 to 10:00 am. Plan
on a presentation that is from 25-30 minutes long.