Always power up bulwark and resolute smite the fastest. Only get righteous gust when you can afford the mana use and always get your ult when you can. The reason I don't put anything into dodge stats, like most junglers do, is because it makes Galio's ult. weaker. You only need the four health pots plus the elixer to get blue, but since a person can afford 6 I just do it. Also, the cloth armor is important at level 3 when the elixer runs out. Also the elixer is only 250 now so they need to change that on this site. In the stats on this website they don't take into account that hiss passive turns 50% of his magic resist into AP. Also use bulwark while jungling in order to increase the damage that Resolute Smite does.
I hope you found this guide helpful. Sincerely luvb3ar <3