Final Projects - APMA 4301 - Spring 2023
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Overview
One of the major components of your grade in this course will be the result of a final project demonstrating your mastery of the course material by either applying it or going beyond it. Given this intent you should use outside resources that feel are useful making sure to properly cite them. You are welcome to propose projects from your current research or work or pick one of the suggested projects below.
Format
The final project will be comprised of a written report either as a PDF or Jupyter notebook and code either on github, another code hosting service or included in a Jupyter notebook. You can also if you would like have a separate PDF written report and a Jupyter notebook for code.
Written Report
The project report should contain: a (short) derivation of the mathematical problem and the equations, a few words on the implementation, numerical analysis of the equations and algorithms (Von Neumann or convergence or parameter study, etc.), a numerical convergence study or similar and a discussion of all results. It is important that the discussion demonstrates how the numerical results compare with theoretical results or expectations. The written report should not be longer than 15 pages excluding references or code. For Jupyter notebook submissions you can get a rough idea of the number of pages you have by hiding the code cells and doing a print preview. If you have questions about the length of your project write up please ask.
If you need help with the actual writing, go check the library for the "Handbook of Writing in the Mathematical Sciences"
http://www.maths.manchester.ac.uk/~higham/hwms/
It is encouraged that you use LateX to write the report.
The use of any other program that allows you to save the final report in PDF format, however, is also fine.