Day 1 - Go to the Deutsches Museum (though half a day is not enough), but it's worth it.
Day 2- A food tour would be ideal in the morning. Walk through Munich's old town and feast on traditional Bavarian cuisine. Also visit the Schloss Nymphenburg Gardens that feature a lake, a canal, and an ice-skating ring. The place is exceptionally refreshing in the mornings.
visit Odeonsplatz - it's like a mini tour of German history and is most suitable for visiting in the little time you have. about 5 years ago