Maximilan Janisch, whose father is a retired maths professor, is the youngest child to ever be allowed to follow such a course at the university, its president Michael Hengartner told AFP.
"He's a very intelligent child," Hengartner said, pointing out that the boy, whose parents are German, "understands a lot of concepts for his age".
Gifted Janisch has already skipped three grades in primary school, but cannot officially enrol at the university since he does not have a complete high school diploma.
Instead, he will follow a specialised course aimed at talented high school seniors wanting to get a leg-up on the university curriculum.
The boy, a resident of the canton of Lucerne, told the SonntagsZeitung weekly earlier this year that he was "not a specialist at making friends" since his classmates were so much older than him.
"I can't find anyone with whom I can discuss Archimedes (a mathematician in ancient Greece), and most people don't even know who (renowned 19th-century German mathematician Carl Friederich) Gauss is," he complained.
In May, Janisch then aged nine, tried unsuccessfully to register for courses at ETH Zurich, Switzerland's top-ranked university.
ETH said it would allow him to audit certain courses, however.