First-year university students exhibit considerably different levels of proficiency, often lacking the necessary prerequisites to attend certain courses. This is especially true for mathematics courses. While motivation alone plays a role, by far the most significant challenge consists in harmonising the different (and often incompatible)…

This essay examines some aspects of the teaching of mathematics and its applications in three of the principal sixteenth century Spanish universities (Salamanca, Valencia and Alcala) and in other institutions sponsored by the monarchy, such as the "Casa de la Contratacion" (House of Trade) of Seville and the so-called Academy of…