Root finding of an equation of one variable, maximization or minimization of a function of one variable, quadrature of a single integral, numerical integration of a 1st order ordinary differential equation initial value problem are all functions that would be handy on a scientific calculator. Maybe complex domain. It does require parsing and evaluating arbitrary expressions.
Avoid matrices of arbitrary size, i.e., expressions of more than one variable, because that requires arbitrary amounts of memory: use a computer for that. However, these days, it is only aesthetic difference between simple and complicated calculations, with powerful handheld devices with lots of memory.
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