Apollo Damage Build

To build this, you need to start with Death's Toll, Warrior Tabi, and Health Potion. You should always start with a camp at the beginning to get some lead on gold. NEVER tank this, always make sure you have someone else for that. As you finish the camp, go to your lane and start hitting the creeps. If you have a chance, hit the enemy god, making sure not to have the enemy roman ranges too close to you, because so early on, they would damage you pretty hard. Work up your XP and keep on hitting the creeps and occasionally hitting the enemy god. If you have pretty much cleaned up the enemy creeps, start damaging the enemy god with abilities to scare them off. You are OK to go pretty aggressive if your sure that you'll do some damage. You may actually do some pretty good damage if your careful and maybe get a kill or two before your enemy starts being too careful. Later on in the game, you can start doing crits with 300-600 damage, and then you can be super aggressive as long as your not going 1v2 or 1v3. Of course like any other build, this build has it's pros and cons.

Pros
-High Damage
-High Crits

Cons
-Low Physical Penetration
-Not-So-Great Life Steal in Late Game

If you find your self not getting very much damage done, or dying a lot, make sure to fix the problem by buying some items listed above.
That's pretty much it with Apollo! Just be aggressive, and you should be getting damage done by 100's.
Good luck and have fun!