Earlier quoted context omitted.
My favourite part of my math education, solutions were always nice. Compute the eigenvalues of a random-looking (but still integers) 4x4 matrix? Oh, it's sqrt(2), I probably didn't make an error in the calculation. Then came the advanced physics / mechanics exam. It threw a wrench into our beautiful system. The results were just about anything, incredibly ugly, like the real world :yuck: :vomit:
> Oh, it's sqrt(2), I probably didn't make an error in the calculation You remind me of my university maths exam. In all the past papers, the eigenvalues came out to be round numbers. But in the real paper I sat, no matter how many times I tried to find my mistake, they didn't. I wasted hours of the exam on that. It was the professor's final year before his retirement.
Turns out that was not a design goal of the real exam and basically nothing worked out to neat, small integer solutions - I probably would have hard failed without the calculator. I'm still sort of confused why prep materials and the real exam diverged so much.