This is exactly how I build my ryze... Love the build!!

@shendoxjoey
I not encouraging people to play with "Heal" i don´t think u saw me wrote "Play with Heal it´s awesome!"
No... That´s why if you see my choise in summoner-spells.. not one of the is Heal...
And yes Brand is faceroll and insane, Ryze can kill him though, movement in key of keep casting will make you win, you can dodge 2 of hes spells, if you get him down to 50% it´s easy, you go in as soon as you see that Ring, you flash to the right of left presuming he´ll pop hes Ball right after and you´ve dodged 2spells, and ignite and keep bursting.
Brand.. Done

I would just like to say this, NEVER ENCOURAGE SUMMONER SPELL HEAL, it may be of slight assistance early game... but late game it is worth NOTHING, other than that I like the description you give on how to face other champions, except the one about Brand(When you face brand you die). I would give you a 1up but I don't agree with the whole item purchase order, but I'm not going to give you a 1dow either b/c it could be good in some situations.

Awesome build!+1, as Johfo said your build stand out with the Rylai, i really love that

Great build! +1 must say rylai's is the best 6th item, good you brought it in :P

i prefer frozen heart little bit earlier for survavility, but +1 from me

If you know your way around the champion you wont need smartcast, i manage w/o it and i get top score every game

No strength of spirit Mastery?
I'd suggest you take a look into it, I end up with 50+ hp/5 regen without any items/runes invested.

Also, another hot tip, Smartcast.
Ryze really shines when you smartcast with him, firing off 6 spells in a row takes about 11-12 keystrokes without it. Casting 6 spells with smartcasts only require 6 keys pressed.