What I mean is that facing a somewhat difficult problem in applied mathematics which arose naturally in some broader context, most undergraduates are not able to actually pinpoint the relevant methods that they know. (At the same time people like Newton were unusually able to do that). It’s very apparent in e.g. programming contests, that the subset of what people can identify as applicable (without hints) is usually much smaller than the set of what they know.
What I mean is that facing a somewhat difficult problem in applied mathematics which arose naturally in some broader context, most undergraduates are not able to actually pinpoint the relevant methods that they know. (At the same time people like Newton were unusually able to do that). It’s very apparent in e.g. programming contests, that the subset of what people can identify as applicable (without hints) is usually much smaller than the set of what they know.
Indeed. Being able to pass a math test and being able to use the math in a real-world context are two different things.