Programs When Will I Feel Confident in My Pure Math Knowledge?

AI Thread Summary
The discussion centers on a university student who has completed their second year as a pure math major and is reflecting on their knowledge compared to advanced topics in math forums. They express feelings of inadequacy despite having taken courses in real analysis, abstract algebra, differential equations, linear algebra, statistics, and vector calculus. Responses highlight that the student already possesses a solid foundation in classical mathematics, which is sufficient for most physics applications. It is noted that as they progress into their junior year, the focus will shift more towards pure mathematics, suggesting that deeper understanding and expertise will develop with continued study.
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Hi, so

I was just browsing this site and I've heard of most of the things being asked

in the Math forums, but I really only knew the answers to a few

I just finished my 2nd year of university (pure math major)

Ive taken an intro course in real analysis, abs algebra I and all the standard

differnetial equations, linear algebra II, stats, and up to vector calc

but I wondering -how long before I actually learn a lot

it seems like I know nothing compared to the topics on this site

-Thanks
 
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You already know a lot of math. You have all the classical math needed for most physics. Aside from topology, you seem to have it all down. Junior year is when it gets 'pure' though.
 

Thread 'Self Learning Math/Physics'

Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
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Thread 'What should I do if I found a paper with same result as mine?'

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...
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