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High number of physics
I happened to be teaching advanced mathematics to physics students. The physics teacher asked for the following:

Limit (summation by infinitesimal method), derivative (velocity and acceleration of known motion), integral (velocity or displacement of known acceleration or velocity, variable force work, moment of inertia), partial differential of multivariate function, multiple integral, second-order and third-order determinant, matrix, space vector algebra (point multiplication, cross multiplication, mixed product), complex number.