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Someone who knows a bunch of complexity theory, graph theory, and sorting algorithms for large data sets; but not calculus or set theory is gonna be conspicuously unusual the further back you go.
My computer science curriculum covered calculus - perhaps not as rigorously as the mathematical sciences, but enough for it to be "working" knowledge (personally, I've forgotten 90% of it since graduation).
Plus, I am sure a computer science teacher should be at least familiar with these topics, or be capable of picking them up.
I'm familiar, I could pick them them up (I have before, and like you, forgotten them from disuse), but I certainly don't know them offhand the way I know, say, Dijkstra's algorithm.
But only for about 500 years, then you're a madman or a witch and things get really interesting.