On a Mac, there are special keys to adjust the brightness, show Mission Control, go to the previous/next song, and adjust the volume.
In the System Preferences, there is the ability to set the function keys to standard F1, F2, F3, etc... keys. However, I'd like to do the exact opposite because I'm not using an Apple keyboard: I want to set F1 and F2 to adjust the display brightness, F3 and F4 for Mission Control and Launchpad, and the F7 to F12 keys to adjust volume and media.
Is there a way to do this, either natively through the OS or through a 3rd-party program?