This build is not for non aggressive users. There is no defense in this build whatsoever but you don't need it if your "SMART" with ryze.

I use flash and ignite. The ignite gives me alot of early game kills and some late game wich helps stack the mejais. Flash is useful for flashing in early game to get somebody who doesnt think they need to recall and send them back anyways. Flash is also useful for late game for the team fight ganks. Similar to fiddles ult you hide in the grass behind a wall or anything and wait for it to go down and dump everything you got into thier team. Also its nice for escaping deaths so i think its the best choice.

Go strait AP and magic pen i have 40 ap at lvl one. I have killed plenty of squishy characters with spell flux and ignite combo (time the spell flux right) at lvl 1 in one hit.

The core of this build lies in how Mejais and Deathcap scale together. So the first item i get is the Dorans Ring which is the only hp i build.

I wait until i have enough to buy lvl 1 Boots and Amplifying Tome to head back. You should have your ult or close to it by now and should be able to gank or flash and destroy people in your lane. AS SOON as you have enough for Majais recall and buy, then immediately find a gank.

The majority of my Gold comes from kills so recalling often is not a big deal as long as your getting kills. After you get mejais finish your boots.

At this point gank until you have enough for Large Rod and then lane until you finish deathcap.

At this point you are untouchable if you have been getting decent stacks and every kill makes you even more outrageous with the 30% ap boost on every mejais stack you get.

Late game finish with archangles stack them up and at this point your Q move becomes rediculous adding the ap and mana into one huge dmg.

Since i do not build mana early on i do not lvl up Q if i have to which is fine since your spell flux will do outrageous dmg.

Rune prison is one of the best stuns in my opinion (especially when you pop your ult and its a AOE mind blowing stun).

As for in game ideally you want to pop your ult use E first because of the magic reduction HOWEVER you can rape just as bad hitting your stun first because if you dont stun first bad things can happen. Early game spam your E on champion do not waste your mana on minions focus strictly on getting kills.

Ok you have so much ap but your still very squishy and people are targeting you first every time and its pissing you off.

DO NOT stay in the middle of the lane with your team as they fight. Play like fiddle or kassadin and always be waiting for stuff to go down. You are the clean up wait for the initiation and flash in dump everything you have into the team fight and the team fight ends.

The more offence ryze has the more defense he has. I know that make no sense but its the truth. If you cant kill somebody mid-late game 1v1 it wont matter how much defense you have because they will kill you before your abilities are available again.

Another option for the build that i might alter would be one of the archangles if you want. Instead of an archangles Zhonyas Hourglass is helpful at times letting you dump all your damage into them and saving yourself at the same time. However do not build this if they have stuns its is worthless since they will stun you before you pop it and die anyways its better to have the extra dmg.

Good luck :)