From the airport (GOT) to the city centre
The easiest way to travel from Landvetter airport (GOT) is to take the airport bus. Thirty minutes travel time to Gotenburg. Departures up to every twelve minutes. There are several stops in the city. The final stop is the bus terminal Nils Ericson terminalen, which is located next to the central train station.
From the city centre to Chalmers:
You can find all the information you need about public transportation in Gothenburg on Västtrafiks' website
as well as google maps.
Use tram stops: Kapellplatsen, and Chalmers
Read more about the city on the official tourist website, where you can find interesting information about the city and its surroundings.