That's in lieu of more music teaching, since it will help us in further analyzing the piece. Only about half of it is done now, but we can get quite a bit of fun out of it nonetheless.
rubato literally means "to rob" and, in music, means that the tempo is not strict, but increases and decreases fluidly at the performer's discretion. molto means "very" or "much". The eye thing (called a fermata, which literally means "bus stop") just further drives this point home by indicating that the thing it's above should be held extra long.
A pair of diagonal slashes is basically the musical equivalent of a newline. It helps to clarify the boundary between systems (a "system" being a group of staves in a score that are to be played simultaneously). So, on page 1, the all the staves are on one system, so you just read across the page from left to right once. On page 2, however, the page is divided into 3 systems. Of course, the fact that the vertical line on the left edge of the page doesn't connect from one system to another is also a clear indicator of system boundaries, so the double slash mark isn't entirely necessary. In fact, in scores with fixed-height systems, it is usually omitted.
And of course these cite a lot of other similarly topicked sources. The google books ones lack pages for copyright reasons, which is irritating, but I'm sure your college's library will have the books.