Source of practice problems for algebra/analysis prelims

AI Thread Summary
The discussion centers on preparing for a preliminary qualifying exam in pure mathematics, specifically focusing on analysis and linear algebra. The original poster seeks additional resources beyond past papers to find problems of similar difficulty. Participants suggest that many math department websites host a wealth of past qualifying exams, indicating a vast supply of practice materials available online. One contributor mentions "The Advanced Calculus Problem Solver" by REA as a valuable resource for analysis, noting its extensive collection of worked problems, although they express uncertainty about linear algebra resources. Overall, the conversation highlights the importance of utilizing available online resources and specific books to prepare effectively for the exam.
thrill3rnit3
Gold Member
Messages
716
Reaction score
1
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.
 
Physics news on Phys.org
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
 
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
Back
Top