Is there a way to change the game resolution while it is in windowed mode? Thanks in advance!

Unfortunately no, the resolution is locked by the game. On my 16:9 aspect ratio laptop, the windowed game fits almost perfectly...just a smidgen of space to either side of the window, no need to run it in full screen mode at all. However on my desktop gaming computer with a nice flat screen 20" lcd 4:3 ratio monitor, the windowed mode (or full screen mode for that matter) are far too wide. Fortunately, all though it is a little bit of a pain in the ass, I can manualy move the window from side to side when needed to access menus, or see what is needed to either side (not in full screen obviously though..unplayable in full screen). When in battle, I can center the window enough that I can see my ship fully, and the enemies ship (jussssstttt makes it, lol) on screen, and access all my weapons and systems...so battle is possible. I do miss the subsystems menu at the top left showing oxygen levels, ect., so I have to really keep an eye on my ships O2 chamber visually, to make sure all is copasetic, but point is, the game is playable, although not optimally. Here's the other post here with some comments in case you missed it: http://www.gog.com/en/forum/ftl_faster_than_light/unplayable_on_a_43_monitor

edit: game will now play full screen for me at a 1024 X 768 resolution after applying the new patch available on your games account