Is there any way I could increase the damage on my spells in Skyrim?

My character is a spellsword and her spell damage is just so low it irritates me and makes me regret ever making her a spellsword. An example I can mention is when I wield a sword on my right hand and a frosbite spell on my left. Now I can go around slashing people's heads off and keep freezing them so they can't get close.

I also heard you could increase the damage on the spell (e.g. frostbite) if you equip it on both hands and click both mouse buttons and your character uses both hands to cast the spell. What I mean here is I want to increase the damage of her spells by the numbers, like if the damage is 150 I want it to be 350 or higher.

Solution 1:

There are only two ways to improve spell damage:

• Get a better spell
• Get Augmented Element Destruction Magic Perks

Indirectly, you can improve your spell damage by lowering your spell cost via Enchanting. This lets you do more damage before you run out of Magika.

Also, the Impact Perk does not do more damage, but it staggers everything you hit, even dragons, allowing you to kill without retaliation. It works very well with Fire/Lightning AoE spells. Less so with Ice due to lower projectile speed. Unfortunately this perk works only with Dual Casting, so you will need both hands.