First of all: elementary mathematics: from Aristotle to Archimedes.

Calculus, including functional analysis, complex variable function, variational method, partial differential, calculus equation and so on. It has been used since Newton's time. Four major mechanics, electromagnetism.

Second: geometry: plane, solid geometry, analytic geometry, differential geometry, non-Euclidean geometry. Physics studies real objects. Four major mechanics.

Third: probability theory and statistics. Thermology, nuclear physics, quantum mechanics.

Fourth: topology. Theoretical physics, the eleven-dimensional protons you usually hear are calculated with these.

Fifth: group theory. Especially popular in recent years, it is used to analyze symmetry and conserved quantities.