This is my first guide ever, so i dont make it long. I´ll just make quick guide to start with syndra. Hope you like it short.

Comment if you liked, you can also give advises for me.

I have got few comments so i will update this guide when i have time and more information from champ and how to play with it. Ill make 2nd build soon. Thanks for support.

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Updated 19/9
Runes are changed: added AP per lvl, CDR per lvl. With these CDR per lvl you will get max CDR and you can get max damage output with your dark shperes and other abilities what needs dark spheres, specially ulti.

Masteries are edited from 21/2/7 to 21/0/9, for longer Blue buff etc.

WoTa changed to Zonya´s hourclass.

Dark Sphere Q Creates a Dark Sphere at a target location, dealing magic damage.
Cost: 50 / 60 / 70 / 80 / 90 mana

- This is your main harass ability, but it costs lots of mana with 3,84 sec cooldown.

Force of Will W Grabs a dark sphere, enemy minion or neutral monster for 5 seconds. 2nd Throws the grasped Dark Sphere or enemy at a target area. Enemies struck take magic damage and are slowed for 1.5 second.
Cost: 60 / 70 / 80 / 90 / 100 mana

- This is useful for slow units and make good aoe dmg.

Scatter the Weak W Knocks enemies and Dark Spheres back, dealing magic damage to them and any enemies they collide with. Dark Spheres that are knocked back also stun all enemies in their path for 1.5 seconds.
Cost:50 mana

- This is good ability for helping escapes and start fights, you need to practise lot to hit enemy with dark sphere to stun him.

Unleashed Power R Draws upon Syndra's full cataclysmic power, harnessing all Dark Spheres to deal magic damage to her target per sphere.
Cost: 100 mana

- This is good choise to finish enemy, just be sure you have enough dark spheres to enough damage.

You need to keep your farm up with last hits, but you have to remember harass much with your abilitys. When you think you can kill itEarly game with no CDR and deathfire before lvl 6
Q Dark Sphere --> W Scatter the Weak (stun) --> E Force of Will --> Q Dark Sphere

With deathfire and Ulti
Deathfire Grasp --> Q Dark Sphere --> W Force of Will (slow) --> Q Dark Sphere --> R Unleashed Power

You can add W Scatter the Weak to combo but if you dont hit with stun you may loose enemy .

Chalice of Harmony- for mana regen, syndra´s dark spheres cost lots of mana so you will need this.

Sorcerer's Shoes- for penetration ^^, you can try cooldown boots too, but magic pen is more important. yndra does not have long cooldowns.

Deathfire Grasp - for early game big burst with your spells, Deathfire->Q->W-E->Q->R will burst your enemy down easily.

Rabadon's Deathcap- this is for pure AP power.

Rylai's Crystal Scepter- you will get some HP and good slow effects. If you dont build any HP for syndra she is way too weak.

Zhonya's Hourclass - I changed this from wota, this is better choise than WoTa. This gives more AP power and great active while they must focus other teammates and gives you nice advantage.

Athene's Unholy Grail- for last item, this will end your mana problems along with some magic resist and 90AP

Pros
-Ranged
-Good harass with Q Dark Sphere and W Force of Will
-E for good cc and helps on escape
-Big burst Cons

-Very weak if targeted
-Stuns from E Scatter the Weak hard to hit every time
-Overall one of the hardest champs to play

Getting good farm is easy with Syndra with Q Dark Sphere and W Force of Will, Throw minions with Force of Will to minions and finish with Dark Sphere.

I still recommend use your mana and skills Q Dark Sphere / W Force of Will for harass. While you harass with skills you will get good low hp minions for last hit.
Just keep mana up.

For summoner spells ill choose Flash and Ignite

Flash for escaping or chasing target.

Ignite for that extra true damage for burst.Additional you can replace Ignite to Ghost cause if you are targeted and flash have cooldown you are dead.
I dont recommend to use Clarity you will get that mana from your build. Not from spell, you will need other spell more than this.

UTILITY
Expanded Mind and Meditation
I use these masteries for give more mana and mana regen. You will have 20% longer buffs what is important for mid and overall for all AP carrys.

DEFENCE
Ill leave defence tree free, ill use these points for utility.

OFFENCE
Offence tree is main tree for syndra, ill pick all DMG boosts from it. Ill take 4% CDR from masteries + 30% from items and last 6% from runes, you will get 40% cdr what is needed to max dmg output with darkspheres.

So i recommend 21/0/9 for syndra.

Thanks jhoijhoi for guide of making guides and line dividers/separators, and also LOL Wiki for ability details.

Thanks for all my supporters. Feel free to give more constructive feedback.