http://static.fjcdn.com/pictures/FISHY_c93c29_57190.jpg
Edit:There are two Battlemage builds
Traditional Battlemage (no armor)-One handed----sword or axe
-Destruction----Frost or Lightning (no dual casting needed)
-Alteration----Mage Armor Perk
----Magic Resistance+Absorbtion
----Dragonhide Spell
-Restoration----Necromage
----Respite (for power attacks)
----Regeneration
----Ward Absorb (optional)
----Avoid Death
-Conjuration----Some atronachs
----Mystic bound sword (if you dot want a regular one)
-EnchantingSorcerer Battlemage-Pretty much the same except you wont use the "Mage Armor," instead you will use light/heavy armor of your choice and put more points into stamina
EDIT3: If you play on a higher difficulty you will die a lot in the beginning of the game. Around level 10 you will become MUCH more powerful very quickly.
Use a Breton for Magic resistance, and use the Lord Stone