You will be close to Koln I think (Cologne).
Duisberg is a heavy industrial area.
Koln is a fun city, with lots of students and night life. Try the famous Kolsch beer.
Koblenz is my favorite place in Germany. It is at the confluence of the Rhine and Mosel rivers. You can head up either river for a cruise, and see castles and vinyards. Trier is an old Roman town, up the Mosel.
Amsterdam is interesting, but a bit of a tourist trap.
Brugge in Belgium is one of the nicest Eurpean cities. Maastricht in the Netherlands is nice.
Do you like champagne? Go to the areas around Reims, France.
Of course Prague, Berlin, Vienna, Budapest are great, but they are a long drive from Duisberg. There are airlines that offer very cheap flights around Europe out of Koln. It is so cheap, many germans fly to Barcelona, just for a day trip.
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