ich | 4 years ago | on: How do people learn advanced math
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ich | 5 years ago | on: Ask HN: What's the best paper you've read in 2020?
ich | 5 years ago | on: Atari Floppy Disk Copy Protection (2014) [pdf]
http://www.clausbrod.de/cgi-bin/view.pl/Atari/Scheibenkleist...
ich | 7 years ago | on: Ask HN: What is the funniest and stupidest software project you know?
;-)
ich | 14 years ago | on: Inflation is as logical as 1 = 2
ich | 14 years ago | on: Ask HN: Why are banks offering me jobs, but not tech companies?
2) I had similar experiences. While our situations differs in some key aspects (I'm much older, have university degrees, long work history), my work history has also not been the text-book IT career path for most of the time. I also found banks much more interested in me than IT firms.
3) My speculation on why that is: Banks are better (in light of recent bank problems, maybe "more willing") at risk taking. Your circumstances make you less predictable than a candidate that has a "standard" career path. Big corporate IT is a lot about minimising risk. IT chooses the candidate that poses the least risk of a bad hiring decision. Banks may be willing to accept higher risk for higher potential return. My speculation is based on conversations I had about this topic with a small sample hiring managers at banks and IT HR managers I worked with.
1) As others have pointed out, the example you use is not really calculus as such but about mathematical proofs. This might have not been covered in your college degree. You can pick this up if you want to, at least to the level required to follow the binomial example. It's interesting, its application in most jobs out there is limited though.
2) Math generally can get really, really hard. Insanely hard. It gets harder and harder for long, long time after it has reached the level that most mortals can understand.
2b) Fortunately (for most of us), the ability to earn money with math doesn't seem to increase significantly beyond the basic calculus, algebra, ... level.