regardless if the monitor uses either HDMI or DVI for input, you shouldn't have an issue with resolution output support from the video card when using either.
However, VGA might possibly give you trouble depending on what kind of VGA tech is used, but honestly, if it's a 1440p monitor it should have a DVI input at least and your graphics card should also have a DVI output that you can use.
So as was already stated by the other person here, the video card won't have any issues displaying things.
However, a 32" at 25ft away might give you some trouble in terms of details since that much distance from that size monitor will result in details not being easily seen unless of course you zoom in.
If only using it for the sake of an image as a whole, then 25ft shouldn't be an issue for simply trying to show something, and the video card supports that resolution output.
A bigger display is honestly what I would suggest for classroom viewing of things. even if it's a 1080p television of a larger size since it doesn't have to be a monitor, as long as the version of the GT 630 you have has an HDMI port on it, you can connect it to an HDTV.