This is a question that is plaguing me at the moment as I force myself to relearn calculus for Analysis of Algorithms at Oregon State University. In moments like this, where the concepts are abstract and I need to learn even more abstract concepts so I can understand the first class of abstract ideas, motivation is key.
Why does this matter? I’ve been working in the industry for over five years and never needed this knowledge before, why now?
Well, the short answer is that you don’t need this body of knowledge to develop a wide range of applications and features to applications. In my world, many of the concerns that common sorting, searching, and general optimization algorithms address are not real concerns because they’ve been abstracted to parts of the language or framework. I’m able to do my job because someone else has figured out how to do other parts of my job that normally would need to be created from scratch. So while learning merge sort and analyzing its complexity is a fun exercise, I’ll not be writing it from scratch anytime soon.