Passive: Arcane Mastery
Description: When Ryze casts a spell, all other spells have their cooldown reduced by 1 second.

This passive is very VERY strong on a champion like Ryze as he naturally has short cooldowns and also caps out his 40% cooldown reduction very early. This allows you to spam your abilities really easily if you do them in the right order, which will be explained later.

Q Ability: Overload

Overload
Passive: Ryze gains cooldown reduction.
Cooldown Reduction: 2 / 4 / 6 / 8 / 10%

Active: Ryze throws a charge of pure energy at an enemy unit, dealing magic damage.
Magic Damage: 40 / 60 / 80 / 100 / 120 (+ 40% AP) (+ 6.5% of max mana)

Overload is Ryze's main damage ability. It is a solid source of damage that scales well into late game with its short cooldown, 10% cdr it gives and your passive, allowing you to spam the **** out of this ability.

W Ability: Rune Prison
Active: Ryze traps an enemy in a cage of magic, dealing magic damage and rooting it for a short time.
Magic Damage: 60 / 95 / 130 / 165 / 200 (+ 60% AP) (+ 4.5% of max mana)
Duration: 0.75 / 1 / 1.25 / 1.5 / 1.75

This ability is used to prevent people from escaping and gives a huge single target chunk of damage. It can also be used to escape. Use this ability to hold them in place for your combo, or to shut them out of a teamfight.

E Ability: Spell Flux

Active: Ryze unleashes an orb of magical power which bounces to enemy units or himself within 200 range, up to 5 times (for a total of 6 hits).
Against enemies, each bounce deals magic damage and reduces magic resistance for 5 seconds. This reduction does not stack with multiple hits. The orb can bounce off Ryze himself if no enemies are available

Magic Damage: 50 / 70 / 90 / 110 / 130 (+ 35% AP) (+ 1% of max mana)
Max Magic Damage to One Target: 150 / 210 / 270 / 330 / 390 (+ 105% AP) (+3% of max mana)
Magic Resist Reduction: 12 / 15 / 18 / 21 / 24

This ability is mainly used for mid-late game wave clear and is also used for quick burst damage on an isolated snared enemy. It is useful in teamfights as it hits everyone and also reduces their magic resist to allow your ultimate to do more damage. Each hit of this also procs the aoe from Ryze's ultimate

Ultimate: Desperate Power

Desperate Power
Active: Ryze becomes supercharged, gaining spell vamp and 80 bonus flat movement speed, and causing his spells to deal 50% of their damage to other enemies in a 200 unit radius around the original target.

Spell Vamp: 15 / 20 / 25%
Duration: 5 / 6 / 7

At first this ability seems really lackluster but when you begin to get good at Ryze it becomes such a strong ability. The AoE can be used as amazing waveclear and also in teamfights, the spellvamp can be used to survive in teamfights or turn on people and the movement speed is used to catch people or run away. It is overall an amazing ability and has a very short cooldown that only gets shorter with Ryze's passive.

Combos

Q + AutoAttack = Main harass early on in lane. Deals a decent chunk of damage from fairly long range and has short cooldown and low mana cost.

Q + W + AutoAttack = If you want to heavily outtrade them, basically just the q + autoattack with more damage.

Q + W + E + Q = Very high damage combo. Costs a lot of mana but does lots of damage. You can use it if they are low on health for the kill.

R + Q + W + E + Q = Kill combo. The extra AoE damage from your ultimate is used and also gives you the movement speed if it doesnt quite kill them. This is for a single target only but is helpful in teamfights due to the AoE.

Your role in fights is to kill whoever has the most kills on their team. From their just go for easy targets with low health. Always use your ultimate in fights as it will be damaging everyone and heal you for insane amounts.

Early Game do not spam your abilities as your mana pool will be ****ty. Mid-Late game is when you are strongest