If I understand your post correctly, they other vents blow hot and cold air (depending on the temp setting on the climate control) but the driver's side is stuck on low?
If so, I had the same problem.
The problem is a motor that's bolted on the heater core (behind the centre console, on the driver's side) has failed.
This motor controls a plastic arm that move the flap controlling the flow of hot air to the vent (there are 3 motors that control the temp for the various vents independently).
The part itself cost around £170 (part is 'V159 control motor' for the driver side).
Labour was around 2.5 hours.
It cost me around £450 in total to fix it.
You will need to find a garage that has the Vag.com or VCDS software though, as they need to perform a 'basic setting' on the part to sync it to the system. A decent VAG specialist garage should have this software.
Technically, the whole dash is supposed to come out to reach the part (going by the book), but a mechanic can get away with removing just the lower part of the drivers side dash and get enough space to replace the part (it's a tight fit though).
There is a good video guide on youtube is you search for it.