It would be very unlikely for me to calculate all the way to mate in this position because I can see white will be winning a lot of material in any case, and if I spot a mate along the way then I'll play it then :)
Old Russian proverb goes something like "it's better to win a knight than mate" when you can clearly win a knight but the mate is beyond your ability to calculate a forced line.
If you want to improve your mate calculation though I suggest puzzles. Remember to work hard to find your opponent's most annoying defense (for example it would be silly to calculate him walking into a corner) and you'll do fine. Just a matter of practice.
I just had the above position in one of my games (I was playing white). My question is this: should white be able to calculate a mate from here? There is a mate in 6 (according to Fritz) but wondering more if people can easily see it or, if its not so easy for even experienced players to find? I really find these types of positions difficult, because I find it hard to visualise what squares are safe flight swaures and which arent. In the end I did mate, but after a blunder on the opponents side. Is this as hard for others as it is for me? Any tips or suggestions?