What @Georganne said is correct.  More generally, for 3/4, 6/8 time, 9/8 time (ignoring the slurs in this particular piece for the moment,) if we imagine that this 3/4 time tune is just made up of quarter notes, then the first measure would start with a down bow, the second measure would start with an up bow, the third measure would start with a down bow, etc.  This is, of course, because these time signatures have an odd number of beats.

More specifically, in this piece, if you count each non-slurred note as a single bow stroke and each group of slurred notes as a single bow stroke, then you'll see that by the time you get to the suggested up bow symbol, that's exactly what you would be expecting. It might be an instructive exercise to take a pencil and mark each bow stroke direction on the score for each bow direction change in this piece.