Testing Did I Really Ace My Final Exams Despite Mistakes?

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The discussion highlights the challenges faced while solving a triple integral in spherical coordinates, particularly the mistake of forgetting to square a constant, leading to an incorrect value for phi. The individual expresses frustration over feeling rushed and making errors, despite ultimately scoring a 101 on the exam, aided by bonus points. Additionally, they mention encountering mistakes on a subsequent University Physics I exam, where they initially solved a problem correctly but later altered the answer incorrectly, and faced confusion with another problem's result. The conversation reflects the common experience of exam pressure and the impact of minor errors on performance.
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And, just a few minutes ago, I realized I forgot to square a constant in solving for rho in spherical coordinates in determining the limits of integration for a triple integral. I got cosine of phi as 1/2, which gives phi as pi/6, but since I forgot to square the two, it actually is pi/4. :mad:

The methods became a bit fuzzy, so I felt rushed in conjuring them up from my mind. A little after two hours, I was only about the third person or so to be finished.
 
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I just a constant. I wouldn't worry about it too much, but sometimes these kind of mistakes are the most frustrating I guess!
 
Well, I found out I made a 101 on the exam. There were some bonus points.

But, tonight, I made a few mistakes on my last regular University Physics I exam. I realized I did a problem correctly, but changed it incorrectly. On another problem, the answer I was getting wasn't making any sense!
 
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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