if the 4-year public univ has a graduate program then they must have some good people to teach basic college math. I think Multivariable Calculus, Differential Equations, and Linear Algebra are almost universally used by physicists and engineers. I would recommend doing these courses a bit slowly (not take two courses per semester). It would be good to develop intuition rather than zooming through these courses. If he still has time left then I would try to do differential geometry.
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