how to setup my EOC-2610 wireless outdoor bridge/access point?

Sorry for my tone earlier. The more I thought about it, the madder I got. Let me step back a minute. I was also a network administrator for a very small school network out in the middle of nowhere. But even there, we could not provide wireless access to the teachers. Principal, yes. Superintendent, yes. We put a wireless tower up for the line of site. I even had wireless access, so that I might monitor the network 24/7. This was a school network in the middle of a reservation. That was many years ago, before security was as much an issue. All I am saying is, proceed with caution and make sure to dot all the i's and cross your t's. You are crossing the line of ethical behavior. If the school is a public entity, forget it.

From your description, it appears the teacher actually lives on-campus.


> In the teachers house I should attach it on the outside wall. I should take a lan cable
> and connect it to the server. It should then manage to connect to the BT Wireless router at the office..

Since the EOC-2610 is designed to be mounted outside, that should work fine.  Though as Wolfhere pointed out you might need to use directional antennae on both ends of the connection.
e.g.
12dBi - http://www.l-com.com/item.aspx?id=21869
That's only about a foot long, and the plastic radome should keep ice from interfering.
Potential equalizer - http://www.l-com.com/item.aspx?id=23458
Grounding Kit - http://www.l-com.com/item.aspx?id=20935
N Male to PR-SMA Male pigtail - http://www.l-com.com/productfamily.aspx?id=6504

The EnGenius device should uses an RP-SMA connector according to its datasheet. That pigtail converts the standard N connector (from the potential equalizer) to RP-SMA that will plug into the jack on the EOC-2610.
Though you'll see them called Lightning Protectors, nothing I'm aware of will save any electronic device connected to an antenna that takes a direct lightning strike. The 'protectors' really equalize the potential to 'earth' making the antenna no more attractive to lightning than the nearby surrounding ground... hopefully LESS attractive than nearby trees, et cetera. So 'potential equalizer' is what I call them.


> Should I set it as Access Point or Client Bridge?

Client Bridge, then connect to the teacher's computer (or LAN) with cat5 from the EOC-2610, as you already surmised.


> Do I need some other hardware kit at the other end or should the wireless router that
> bt provide be good enough to connect directly to the EOC-2610 outdoor bridge/access point.

That same antenna should work on the other end if needed, but it's hard to recommend pigtails/connectors when the original brand/model is unknown. e.g. Cisco and Linksys typically use RP-TNC; D-Link usually uses RP-SMA, but their business-class units use RP-N.  BT uses rebranded Thomson SpeedTouch units for their HomeHubs, but I'm not aware of what they issue school or commercial users. Then again, if the BT AP is sitting near a window facing the teacher's residence, a second external directional antenna might not be necessary. Hard to say for certain without a site survey.