Source of practice problems for algebra/analysis prelims

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SUMMARY

The discussion centers on sourcing practice problems for a preliminary qualifying exam in pure mathematics, specifically focusing on analysis and linear algebra. Participants recommend exploring math department websites for past qualifying exams, which provide a wealth of practice material. One notable resource mentioned is "The Advanced Calculus Problem Solver" by REA, which contains numerous worked problems relevant to analysis. However, no specific recommendations for linear algebra resources were provided.

PREREQUISITES
  • Understanding of preliminary qualifying exams in pure mathematics
  • Familiarity with analysis concepts and problem-solving techniques
  • Knowledge of linear algebra fundamentals
  • Ability to navigate academic resources and websites for past exams
NEXT STEPS
  • Research math department websites for past analysis and linear algebra qualifying exams
  • Acquire "The Advanced Calculus Problem Solver" by REA for analysis practice
  • Look for additional linear algebra problem books or online resources
  • Explore forums or study groups focused on preparation for math prelims
USEFUL FOR

Mathematics graduate students preparing for qualifying exams, educators seeking problem sets for analysis and linear algebra, and anyone looking to enhance their problem-solving skills in pure mathematics.

thrill3rnit3
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Hello all. I am preparing to take my math department's preliminary qualifying exam for pure math. It covers analysis and linear algebra. I have a good number of past papers but I was wondering if there is a good source, maybe a book or a website, for problems of similar difficulty.

Thanks.
 
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On a lot of math department websites, you can find lots of past analysis and algebra qualifying exams. So, distributed across the internet, I would suspect there is an almost unlimited supply.
 
thrill3rnit3 said:
Hello all. I am preparing to take my math department's preliminary qualifying exam for pure math. It covers analysis and linear algebra. I have a good number of past papers but I was wondering if there is a good source, maybe a book or a website, for problems of similar difficulty.

Thanks.


I don't know if this helps, but when I was in Calc III I bought (found in a bookstore) "The Advanced Calculus Problem Solver," from REA. I didn't know that "Advanced Calculus" meant analysis. It looks like it's a great source, though I'm not ready for it just yet.

Don't know if that's helpful but I thought I should mention it. It is a thick book with a ton of worked out problems.

Don't know about Linear algebra though...

-Dave K
 

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