Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
Training of Youth - Sciences of General Culture at This Period
The training of youth followed, as may naturally be supposed, the course of bilingual humane culture chalked out in the previous epoch, and the general culture also of the Roman world conformed more and more to the forms established for that purpose by the Greeks. Even the bodily exercises advanced from ball-playing, running, and fencing to the more artistically-developed Greek gymnastic contests; though there were not yet any public institutions for gymnastics, in the principal country-houses the palaestra was already to be found by the side of the bath-rooms. The manner in which the cycle of general culture had changed in the Roman world during the course of a century, is shown by a comparison of the encyclopaedia of Cato(2) with the similar treatise of Varro "concerning the school-sciences."
2. Cf. III. XIV. Cato's Encyclopedia
As constituent elements of non-professional culture, there appear in Cato the art of oratory, the sciences of agriculture, of law, of war, and of medicine; in Varro--according to probable conjecture--grammar, logic or dialectics, rhetoric, geometry, arithmetic, astronomy, music, medicine, and architecture. Consequently in the course of the seventh century the sciences of war, jurisprudence, and agriculture had been converted from general into professional studies.
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Reference address : https://www.ellopos.net/elpenor/rome/5-12-religion-culture-literature-art.asp?pg=8