Should I share course notes from my previous university with my students? I have recently been a TA and I realised I have a large collection of comprehensive notes from my alma mater dating back to my Bachelor degree courses. I wonder if this is an acceptable practice to share them without my professor's consent (since this is purely for education purpose)? My student is asking for these notes, and I told them I should ask my professor first.
If these were my notes, and you asked if you could share them with your students you would get permission in a heartbeat. In fact, if I had continued teaching the course, and thus continued to develop them, I would probably sent you the most up to date version of those notes. I am not alone in that, I remember that several associations have been trying to set up a repository of such teaching notes, which struck me as a good idea, but I don't know what came of that. However, I have come across people who take a more restrictive view on their notes. 

So, I think the best thing you can do is ask. Best case is you get the most up to date notes and a potential reference writer gets reminded of you in a positive way. Worst case (s)he says "thank you for asking, but I don't want you to release those notes". If you don't ask, release the notes, and (s)he finds out, things could get a lot more ugly.