So I would like to learn more about PDEs.(adsbygoogle = window.adsbygoogle || []).push({});

Background

I have only one course in PDEs (intro obviously) and we covered the big three equations: Heat, Wave, and Laplace (Cartesian and Polar). Sturm-Louville, d'Alembert Solutions, Method of Characteristic lines (with nonvarying coeffiicents). Numerical Methods were also covered.

Other classes I have done are: Calculus (all semester, multivariable, vector), Linear Algebra, and I will have completed Algebra, Real Analysis, Modern Geometry (probably irrelevant here...) and some stats

So tomorrow I would like to speak with a professor whom I've had for ODEs to ask if she would take me on as her student. I am a little worried over two things

1. My PDE Grade: I fell ill during the Final Exam when I took it, so I naturally didn't do so hot. If you are wondering (and in case she asks as well) why I didn't tell that prof about my illness was because it happened in the morning and the guy doesn't hold office hours or read emails in the morning and the examwasin the morning...

2. Not sure how to ask her politely. Would

Hi Dr. [Name], I am wondering if you would consider doing directed studies/research with me next term? [If she says "Yes", I will follow up with what I have in mind]

be okay?

3. I don't know what is appropriate for my level. I am not even sure if I have enough knowledge to do research in PDEs.

One topic I have in mind isNonlinear PDEs. I have a link

http://en.wikipedia.org/wiki/List_of_nonlinear_partial_differential_equations

There is a huge list of PDEs I could study, but with so many, I just don't know how to pinpoint the one that is appropriate for me. I've clicked on a few and most of them have to do with Fluid Mechanics.

If research isn't an option, I wouldn't mind doing directed studies with her in just a regular one on one PDE course. But I would like to come up with some decent topics so it doesn't make it as if she is doing the thinking for me.

Thank you for reading

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# I need a research topic and need an etiquette request

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