I passed the real analysis course at my college and now, after 3 years, im not that good anymore at integrating, solving big complicated limits etc. But I still remember the concepts behind them. Now, since I'm trying to self-study some topics that I'm not familiar with (topology, galois theory etc), as an aspiring engineer, I was wondering if I shouldn't move to the next topic until I'm very good at doing every exercise (“calculate the integral of” “calculate the limit of” etc) with the risk of one day forgetting almost everything or if i should focus more on understanding the concepts and use a computer for the calculations.
2026-02-23 15:08:15.1771859295
Should I focus more on the concepts or on the calculations?
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As long as you are studying the math to eventually use it instead of teaching it, you should be fine moving forward. If you can solve a "word problem" by creating the appropriate integral, having W|A solve it, and then interpreting the result appropriately, that is an "effective use of technology" that will model your professional work anyways.
Anyways, the topics you're heading towards are much more fun than boring old Analysis anyways....