The Pentax K1000 is the classic student camera and would be perfect. My first one was the similar Ricoh KR5, which was great. I have not used the Canon AE-1 or Nikon FM2, but based on the images I Googled, I can see that they have the standard manual exposure controls and will be fine as well.

There are not different kinds of manual exposure mode. They all allow you to choose what aperture and shutter speed you want, which is exactly what your daughter will need for the course. On a digital camera, ISO can also be selected on a shot by shot basis. On a film camera, you dial this in when you load the film, and leave it until you switch to another speed film.

She of course will also need a lens. The standard recommendation here is a 50mm as this offers a similar perspective as the human eye. If you buy the camera and lens separately, make sure you get a lens with the correct mount. Feel free to post back here with the body you choose if you need help finding a lens that will fit.

I would also suggest a camera bag and a tripod. She doesn't need anything expensive here, I would recommend a LowePro bag (they are awesome, and they stand behind their products... I have one that is 20 years old and is still in good shape) Something like the Lowepro Adventura SH 140 II should be a good size. An inexpensive tripod is handy. I haven't used it, but the specs on the Sunpak 6630LX look about right for an intro course.