The first step in completing a project for this course is to determine a physical system with the following properties:

1. It can be relatively easily constructed from not too expensive materials.

2. Once constructed, data can be collected/measured.

3. The collected/measured experimental data can be predicted using techniques from the calculus of variations.

Once you think you have determined your physical system, attempt at least an initial mathematical analysis to make a prediction. If you are confident you can complete the mathematical analysis and the project is one you wish to pursue, write up a description of the project along with the analysis you have completed and submit that as your project proposal.

Turn in a project description/proposal by Thursday February 8, 2018.

The instructor will also be describing several projects in the lectures and will be completing at least one project himself.

You are encouraged to work in groups of no more than 5 people. You may also have the opportunity to work on the instructor's project.

By the end of the semester two tasks should be completed:

1. A written report including your work on the project (a. description of the physical system, data collection, mathematical analysis, comparison of experiment to prediction with error analysis) should be completed. Photographs and/or the actual physical system should/may be included. (One report for each group.)

2. A presentation made in class of the project should be given. Please coordinate with the instructor to schedule a presentation date.

The report should be submitted in hard copy and electronic form suitable for publication on the internet.

Both the report and presentation should make clear the participation and contribution of each student. Both of these are due by the date of the final exam.