Airport express

I get my internet at uni by conecting my laptop via ethernet to a socket in the wall.

If i plug the ethernet form the wall into an airport express, will that provide me with wireless internet?

Also, when at home, can i just plug the airport express into the mains, and not connect it, via a cable, to my wireless modem, and it will extend the range of my wireless network?

Thanks

If i plug the ethernet form the wall into an airport express, will that provide me with wireless internet?

Click to expand...

Yes

Also, when at home, can i just plug the airport express into the mains, and not connect it, via a cable, to my wireless modem, and it will extend the range of my wireless network?

Click to expand...

Yes and no. Yes you can do it but it will depend on on weather your router/modem supports the correct protocol for extending the network.