Well, you only need to relay .@mydomain.edu to your exchange so other domains remain for postfix to decide whether discard or what to do to them.
So basically you need
entry in /etc/postfix/transport
Code:
mydomain.edu smtp:ip.address.of.your.exchange.server
entry in /etc/postfix/main.cf
Code:
transport_maps = hash:/etc/postfix/transport
I also have
Code:
relay_domains = $mydestination, hash:/etc/postfix/relay
And in /etc/postfix/relay I have
Then you need to
Code:
postmap /etc/postfix/transport
postmap /etc/postfix/relay
and reload postfix.