How to configure router for Remote Desktop connection?
There are a couple of ways to approach this. One is via use of the University's VPN, which would put you right on their network and keep your IT department from having to do anything besides allow you to log into their network via the VPN. This would be my preference as it is common, secure and puts your home Mac right on the same network with your Mac at university.
But you don't mention that there was a VPN involved, so...
Take those port numbers and the IP address of your Mac at the university and your Mac at home and talk to someone in the IT department.
What they will do (if they allow this) is forward your home IP address to your work IP address via those two port numbers. It is all done by your IT department. When they are done with this they should give you an IP address to connect to from home. This IP address will, in effect, be your Mac at University. You would plug that into Apple Remote Desktop at home and it should (if everyone has done their jobs right) connect you from home to your University Mac.
Note that your University IT department might recoil in horror at what you are suggesting (I would, we don't do this where I work) as it could be a security risk. So your best bet is to see if they have a VPN that you can use.
We can help you with that too, but that would be a different question, separate from this.