Not Updated For Current Season
The masteries shown here are not yet updated for the current season, the guide author needs to set up the new masteries. As such, they will be different than the masteries you see in-game.
Difference about AD Ryze and how to play him
Play Ryze as you normally would AP. However, once you get triforce+manamune, you need to start utilizing triforce's attk dmg increase after casting a spell. You need to auto attack every other spell so that you maximize damage. A good combo would be E+AA+Q+AA+W+AA+E+AA+Q until they die.