If you save them in the source images folder thats on your pen drive and it works fine on your PC (Viea the pen drive ) then you only have to plug it into your tutoris PC.
If you change the drive then you will have to reload the texture files as I think maya uses the full extension C:\My Documents\Maya\Project...... and keeps it so you would have to reload the files to get it to work.
Dont think theres and easy way round it to be honest, you could probably write a mel script but I'm not too good on MEL.
"No pressure, no diamonds" Thomas Carlyle