I am going to make a mage type of character but I have no ideas of what magic i should focus on more.
I have never tried any accept destruction and restoration. Any ideas of what is good and what spells are in the skill?

Illusion is arguably the most useful spells for any mage. Calm is almost essential for most of my mages. When that sabretooth cat launches himself out of the snowstorm at you, a quick calm spell might be the only thing that keeps you alive.

Thanks I will try it

My favorite is Conjuration. Conjure up a Dremora Lord to tank for you. Or a bound bow for the fun of it. I really enjoy it!

For pure mage, I figure put all points in Magicka, focus on increasing Magicka & Magicka regeneration & Magicka cost reduction through items, use all schools of magic, see how you go. You have one resource, your Magicka stat, and five different skills that use it. This means you can find creative solutions.

max out on the enchanting or alteration skill for fun

Bit to passive for my tastes want to be able to destroy things and put you enemy in painful agony!

Got question my self im not going to be wearing any amour and spending a lot of time enchanting or alchamy, would restoration or alteration be best to focus on for protection?