Courses Currently taking graduate course as an Undergraduate

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Achieving a high grade in graduate-level courses as an undergraduate is important for those aiming to enter graduate programs in Mathematics. While an A or A+ is ideal, an A- is generally considered acceptable, especially for undergraduates competing against graduate students. Maintaining at least a B average is typically expected for graduate students, suggesting that undergraduates may not be held to the same rigorous standards. Overall, while striving for top grades is beneficial, a solid performance, such as an A- or even a B, can still be viewed positively by graduate schools.
chhan92
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I am currently taking graduate algebra as an undergraduate (junior) in University of Toronto, and I just took a midterm today. Since I am an undergraduate, the grade matters. In order to get a good chance to go into graduate schools for Mathematics in Canada and USA, is it must have to get a A or A+ in graduate courses as an undergraduate? Or, is A- alright? (or should I get at least an average grade on that course as an undergraduate competing with graduate students?)
 
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I don't know a whole lot about this, as I didn't have that sort of option at my undergrad school and I am a master's student at a rather average state university. But I would assume that an A- would certainly be fine, and most likely a B would be fine as well, since you are an undergrad taking grad-level coursework. I mean, we are only expected to keep up a B average as grads, and I think they expect less, not more, of the undergrads. But like I said, I am not, probably, at the sort of school you're planning on applying to.
 
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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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