Here are some suggested topics for final projects. I will keep adding more and also references and background for some of these.
- Automatic signature verification.
- Determining structure of molecules by X-ray diffraction.
- Data assimilation in weather forecasting (Kalman filter).
- Models for the formation of animal stripes and patterns.
- Magnetic resonance imaging.
- Mathematical models of cardiac defibrillation.
- Models of animal swarms.
- Epidemic spreading.
- Tumor growth.
- Blood flow and branching in arterial trees.
- Baseball aerodynamics.
- Dynamics of walking.
For the group project, you should form groups of 3 and select a paper that deals with some aspect of traffic modeling or applications of the singular value decomposition. The objective of the project is that you understand the paper and do numerical or analytical work to extend its results. There will be 25-minute group presentations.
In the presentations, you should first explain what is the main contribution of the paper, for example: what problem of previous models is addressed, what new idea is introduced, etc. Then you should explain the paper to the audience and finally present your extension. Here are some suggested papers on traffic modeling. You need to be on campus or connected through VPN to download some of these. Or you could google scholar "highway traffic modeling"