Which Math Courses Should I Prioritize for Graduate School Applications?

AI Thread Summary
The discussion revolves around a college junior facing a scheduling conflict between essential mathematics courses and appealing electives. The student has completed significant coursework in mathematics but has not yet taken Real Analysis and Algebra, which are crucial for GRE preparation and graduate school applications. They are enrolled in both Real Analysis and Algebra for the fall but are also interested in taking Graph Theory, which will not be offered again before graduation, and a graduate-level course on Quantum Computing that could enhance their research. The advice given emphasizes prioritizing Real Analysis, as it is fundamental for future studies, while suggesting that Graph Theory could be postponed or self-studied through recommended texts. The overall consensus highlights the importance of foundational courses for graduate school readiness over elective interests.
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Hi everyone,

I'm entering my junior year of college in the fall. So far I've really pushed through the mathematics course selection, finishing off the calculus sequence, linear algebra and advanced linear algebra, number theory, differential geometry, computational complexity, and logic. The problem is that I have not taken the two big year long courses, Real Analysis and Algebra. I am currently signed up for both in the fall to prepare me for the GRE which I will be taking at the end of the academic year. My dilemma is that at the same time, both Graph Theory and a graduate course on Quantum Computing are being offered. I don't want to miss out on taking graph theory as it will not be offered again before I graduate, and I'm being encouraged to take the quantum computing course to help direct my research project (I'll be researching over the summer).

So you see my predicament. Does anyone have any advice on what I should take/what would look best when applying to graduate school? Thanks for any input.
 
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If you are planning on going to graduate school, then settle down for a postponement of Graph Theory until then. Or even better, check out two books on graph theory and teach yourself from them! But do not prolong on taking Real Analysis as that course is essential, and it is better you take it now.
 
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"...
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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