Ryze on Mana is the perfect way.. cause his cooldown is low and he can spamm his Q Spell..
Ryze is perfect for getting lasthits with his spells.. and his high mana regeneration

So ... He´s a very good champ and i´ve done this Guide for you to play him self.

Here are some Examples how a game can end if you play safe and clever:

For the beginn are the Mana Regenerations Runs very usefull.. later you will have `Tear of the Goddess´ and you can farm minions fast...
+The ability power is only to make good damage.. for first blood and later.
And the magic penetration is very usefull vs champions like galio with magic resistance.

At the mastery trees you dont need to skill at the Utility tree to the end cause you dont need so much cooldowns.. they are low as well.

Cause Ryze has not so much armor and life you will need to skill Flash and Ghost for beeing save in some moments.

At the Defense Tree you should skill magic resistance and and Strenge of Spirite.. cause you farm a lot of mana so youre life regeneration will be high.

At the offence Tree you should skill the normal things for AP Champions.. so you skill ability power+ cooldown + and magic penetration

All Items you should buy should give you Mana..ability power.. Armor and health.

So just watch my item bulid..

For getting out of ganks, starting ganks, repositioning yourself in team fights, jumping over walls. Such a great spell.
Makes catching and running from enemies so much easier.

To beginn of a Fight you should casttoo lower the magic resistance of your enemies.. then castto hold them and then cast your other skills.. at beginn of a teamfight cast your ultiat first to make AOE Damage (surface damage)