What Knowledge Gaps Do Self-Taught Programmers Generally Have?
BeardedChimp writes "I, like many others here, have learned to program by myself. Starting at a young age and learning through fiddling I have taught myself C++, Java, python, PHP, etc., but what I want to know is what I haven't learned that is important when taught in a traditional computer science curriculum. I have a degree in physics, so I'm not averse to math. What books, websites, or resources would you recommend to fill in the gaps?"
Although in practice most of the time advanced data structures and algorithms are not used, it is useful to study them and implement them yourself at least once. Dijkstra's algorithm, Prim's, Kruskal's, maximum flow, and other basic graph-operating algorithms are a good example.
Experience helps, but the real killer deal is experience backed by a CS/Eng. degree.
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I'd say you need to learn enough mathematics to get an appreciation for what goes into the discovery of an O(nlog[n]) algorithm -vs- its [naive] O(n^2) counterpart.
This is a gap I've seen with self-taught programmers: they didn't take algorithms classes where you analyze algorithms for efficiency and write complicated algorithms for (mostly) academic problems. Even amongst university-taught programmers, most people see this class as a waste of time. I've taken it twice (undergrad and graduate level) and find it helps me in my job.