By most standards, Budapest is a safe city, except at a few places and at certain hours. The most typical street crime is theft at a crowded place, and fraud by black market dealers. Common sense is usually sufficient to avoid or to solve such situations. Open threat or unprovoked violence towards strangers is very rare.
The student package (distributed upon arrival) contains Police phone numbers (English operator), as well as further information. Also, students get a Police-issued leaflet in English, which explains the basics of safety in the city, together with the most typical criminal tricks played against tourists and visitors.