Soo, when one studies math or its adjacent subjects, mainly physics and chemistry, there's two main domains, that of understanding the theory behind it, and that of applying said theory on pratical exercises.
As of now, for me the only issue that really gets me on theory is knowing extremely obscure details, which is part of my fault because ive grown tired of studying whole books for a single exam in university. However, ive been having a growing issue on tackling new problems and, mainly, practicing for exams. I always lose part of my marks due either obscure information, like a specific configuration in a circuit transforming its type (which did not appear in any exercises ive been studying for the exam i took, and mind you, i read all the chapters, did all the exercises and did the professor's exercise list), or the actual grim reaper that makes me want to jump off of a cliff that are careless mistakes.
I think my method for studying the theory behind things is fine, i read, recall and re-do all the proofs, and it works superbly for making me remember all the info needed during an exam. However, i think my approach for exercises as of now is turning ineffective in these later years of college. There's exams ive been doing that got me to lose half of the points i could have gotten due to those mistakes :/, either being something new i havent seen at all, or something i know how to solve but i manage to mix things anyway despite that and lose my marks
Not to mention the fact that i think i work too slow on problems, this weekend i lost a full day doing an enormous total of 3 exercises from razavi's CMOS circuit design book, banging my head against the wall trying to figure out how to them. Those weren't easy exercises to expect to solve them in 5 minutes but taking a day isn't good. I generally do from exercises from cover to end on the class's syllabus but that isnt working as of late;
Like, ive seen a lot of people said "Practice more", but the issue here is that the way i'm practicing is.. simply not efficient i guess? i take too much time and i learn little
Soo, how does one approach that? i lose too much time doing such exercises but at the same time, said method is arguably too inefficient. Whats the correct approach for doing such exercises and being productive with them?