Alex,
I encountered the following fatal problems with Mathematical 10.3 on the Raspberry Pi Jessie Raspian 2016-02-09 release date downloaded from the RaspberryPi Foundation around 2/11/16. After updating the cache, I tried to do the sudo apt-get dist-upgrade to try to do what the Foundation recommended on their blog, even though this has not been a good way to go in the past with Mathematica 10.0.2+ for the Pi. Mathematica 10.3 opened fine (and I verified it was indeed 10.3), but when I tried to load the package for the Finite Element Meshing, <<NDSolveFEM
, (which command and package worked fine on the previous release of 10.0.2+) Mathematica hung up. I tried it a few times, and depending on if I did another command that worked first or not, Mathematica would either hang up catastrophically (would not shut down even with the kill the kernal or task manager, had to pull the plug on the RPi2 to shut down), or else Mathematica would bomb and just quit suddenly (i.e close window and end the program).
Thinking the problem might have been in the dist-upgrade (which took forever to do) and possible conflicting dependencies or some such, I downloaded the fresh .img file for the 2/9/2016 Jessie Raspian release with MMA 10.3 and transferred it to a blank microSD card. I did not load any other software on, because I wanted to see if the same problem happened with a fresh install of Jessie Raspian. Same problem with 10.3 bombing and locking up the system so it could not be shut down and would not kill the kernal. This indicates something very wrong in the 10.3 release that I hope you will look into and fix. It ran normal commands, like Plot[Sin[x],{x,0,20}] just fine.