Looking for a Laptop for Uni

So as the title says I am looking for a laptop to use whilst I am at uni with a budget of £600 to spend and I have a few like things I would like from it. These being an i5 or equivalent, HDMI out, at least 3 USB ports and more than 5 hours of battery life and a 13 or 14 inch screen. I have been mostly looking at Ultrabooks at the moment but if another laptop meets those requirements and is reasonable then that would be fine.

Thanks for any help in advance