How Can I Best Spend Summer 2010 to Prepare for Future REUs and Grad School?

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SUMMARY

The discussion centers on strategies for sophomores interested in pure mathematics to prepare for Research Experiences for Undergraduates (REUs) and graduate school during the summer of 2010. Participants suggest self-study using textbooks to strengthen foundational knowledge in linear algebra and calculus, as well as seeking research opportunities at their home institutions. Engaging with professors for mentorship and forming study groups are also recommended. The potential costs of summer courses are weighed against the benefits of reinforcing mathematical understanding in preparation for future academic pursuits.

PREREQUISITES
  • Understanding of linear algebra and calculus
  • Familiarity with Research Experiences for Undergraduates (REUs)
  • Knowledge of graduate school application processes
  • Ability to engage with academic faculty for mentorship
NEXT STEPS
  • Explore self-study resources for advanced mathematics topics
  • Research potential summer courses at local universities
  • Contact professors for possible research projects or mentorship
  • Form or join a study group focused on GRE preparation
USEFUL FOR

Undergraduate students in mathematics, particularly those preparing for REUs and graduate school, as well as anyone seeking to enhance their mathematical foundations and research experience.

blackfedora
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I'm a sophomore interested in pure math who's been looking at an applying for REU's for the last 2 months (in fact, I discovered this forum while looking for REU advice), but I'm not going to be surprised if I'm not accepted into any of the programs.

My plan B is to try and get a research position at my home institution (which starts taking applicants after they know which majors were able to find REU positions) but that's not a sure thing by any means either.

In the event I find myself with no research opportunities how should I best spend my time this summer to get in a better position for 2011 REUs / grad school?

I was considering getting some textbooks and self teaching myself about an area of mathematics I'm interested in, or going back and filling any gaps in my understanding of foundation courses like linear algebra and calculus if I find myself with 3 months of time to fill.
 
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Hey!

I'm in the same situation as you.

I'd say my plan B will be to contact professors at my own university and see if any have a potential research project for me or if they know any other professors who could act as a sort of mentor.

Alternatively, yeah I guess I'll do some independent study, or try and form a study group with other friends who didn't get into research programs.

If anyone has any ideas, do share!
 
Are there any classes you could take over the summer that would be worth your time? A number of schools will let outside students take courses over the summer, so if you look around you may be able to find something.

Of course, the huge disadvantage to this is that it will be expensive probably, so I don't know if it'd be worth it.

I haven't heard back from any of the REUs I've applied to either, so I too am bracing myself for the possibility that I won't get into any of them.
 
I'm thinking about taking courses, but my department is pretty awesome at really getting me to understand the material completely, and it's not like I don't have enough time to take all the math I want from them (I'm done with distribution, so I have 14 to 16 courses left since I'll probably take a few courses off to write my thesis). So I guess I'm having trouble justifying the price of summer courses given the risk that I might end up with shaky understanding of the subject.

I suppose I could take the summer to reinforce my linear algebra and multi-variable in preparation for the GRE. Anyone have other idea's?
 

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