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I am a Graduate student in Mathematics and in second Year. I have three qualifying exams in topics Abstract algebra, Real and Complex Analysis and Algebraic and differential topology.I already appeared for two times, but I didn't clear even a single subject and got very low grades. I will have a one more attempt and final attempt in January. Since I want to do research in Mathematics, but I failed in qualifiers I lost my hope completely now. Can any one suggest ideas so that I can improve myself and help me to prepare for the next qualifiers?

Thanks in advance.

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    Although questions change, the *topics* examined tend to be pretty stable. So a deep familiarity with past qualifying exams at your university is very useful.2012-08-20
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    I think the best people to ask for advice are the math faculty at your university. They know you, and they know their exams, far better than anyone here does.2012-08-20
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    I do not know if this helps you, but I have found that the work which got me furthest was to try to write accounts of parts of mathematics which were as clear as possible to myself, and which explained what the subjects were about. The composer Ravel suggested: "Copy: if you some originality, this may come out in your copying. If not, never mind." You may have to write or copy several times before the real ideas get over to you. Also you can try explaining to others, if you can find someone who will listen. These are some ways of getting the wheels of the brain turning!2012-08-20

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