sure you don't plan to invest $$$$$ on the basis of a tutorial ) contact the supplier or the local dealer to get all the info and arrange a live demo...
you are asking on a newsgroup, my suggestion : go to
Google it:
1. HYSYS filetypedf
to find official tutorials
1. HYSYS filetype:doc
to find non-official, student created solved problems by HYSYS
and do not forget to search it again with HYSIS, which "popular" wrong spell of that.
Maybe I missed something but HYSYS tutorials are either HYSYS files or instructions/walk-throughs on how to use a particular feature...you need to already have a HYSYS license to do a tutorial. I don't understand how reading the tutorial document will allow you to 'sample' the software.
antony54 is right...you should arrange for a demo.