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Answering this side note, i am similar to your niece. I enjoyed calculus (at least multivariable, vector and tensor) and linear algebra, but i absolutely loathe programming. I cannot make sense of it and it is the first subject i have come across that i actually cannot bring myself towantto learn even a little. I seem to be near immune to the logic and structure of it as well.

This is actually part of the reason i decided to not go for robotics as i originally planned and decided to switch to physics instead.

I don't feel like the two subjects necessarily are interwined when it comes to the actual understanding, sort of like physics and maths are a bit different in that way.

I know people who are good at math and bad at physics and vice versa.

With respect to your loathing of programming, I think you just haven't been doing the right programming if you really enjoy multivariable, vector, and tensor calc and linear algebra; lots of programming research having to do with those things related to numerical solutions of partial differential equations, image analysis, ray tracing, machine learning, and so forth.