This all about my experience with Acer Aspire 4736z notebook with Fedora 11. F11 installation went smoothly and after the installation many worked well, except the following issues.
Touchpad tap don't work by default. The solution is simple. Just go to System -> Preferences -> Mouse, click on touchpad tab and tick Enable mouse clicks with touchpad
Install Atheros ethernet drivers and it will work.
The problem is that even when the headphone is connected, sound comes from the notebook speaker instead of from the headphone. The solution is here. And in my case adding options snd-hda-intel model=auto to /etc/modprobe.conf did the trick. If /etc/modprobe.conf does not exist just create a file /etc and save it as modprobe.conf.
Multimedia shortcut keys with Amarok
I use Amarok as my media player and the media shortcut keys don't work with Amarok. There's a Amarok script which solves the problem. Just download it from here and follow the instructions there.
I hope that this will help you and you are welcome to add more tweeks if there are any.