From the city
Take one of the tram lines
S1 (direction "Herrenberg"),
S2 or
S3 (both direction "Flughafen") from one of the stations "Hauptbahnhof", "Stadtmitte", or "Feuersee" and get off at the station "Universität".
From the airport
The tram station at Stuttgart Airport is on level 1 (signposted S). A ticket must be purchased before entering the platform. The orange ticket machines are located directly in front of the escalator. For the trip to the university (Campus Vaihingen) a ticket for 2 zones is required. Enter the code "002" on the keypad of the ticket vending machine and pay for the ticket by cash or card. On the platform, take the tram line
S2 or
S3 (direction "Hauptbahnhof") and get off at the station "Universität".
Download VVS app.
Local public transportation homepage (VVS).
Google Maps list with most important places.