Can Undergraduates with Limited Experience Pursue Math Research Opportunities?

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A second-year math major is seeking a research position for the upcoming quarter, expressing uncertainty about finding opportunities due to limited experience and coursework. The student is considering positions in biology and health that involve programming for computational modeling, questioning whether this experience would be beneficial for a future in Applied Math and if it would be viewed positively when seeking research opportunities in pure mathematics. The discussion emphasizes the importance of programming skills in technical fields and suggests reaching out to professors for guidance on available research projects, despite the student's concerns about familiarity and the potential presumption of asking for opportunities. Overall, gaining computational experience is highlighted as valuable for future academic and research endeavors.
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I'm a 2nd year math major looking for a research position for next quarter (and perhaps beyond). Ideally I would be able to find a math professor to work with, but since I have no prior experience and have only taken a few upper div classes I'm not sure that that's realistic. I'm not even sure what types of math research I would be able to do.

I have found a couple positions in biology/health fields that require people with programming experience to develop computational models. Is this the type of thing that could be good experience for someone going into Applied Math? And is it the type of thing that would be considered positively if I were to look for a research mentor or REU spot in a "pure" field?
 
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Programming is a very useful for any technical major. I would talk to some professors, they'll know if anyone in the department is doing work that you may be capable of understanding/helping with. Computational skills are in high demand, so that's always good to get experience in.
 
Thanks for the advice. I guess part of the problem is that I don't really know any of the professors that well and it might seem presumptuous to ask about research opportunities.
 
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