Don't specifically do a workout geared towards your biceps... or any body part split for that matter. Full body, or upper/lower split, 2 to 3 times a week will give you better strength and size gains.
To really hammer your arms, do chinups/pullups. Either do negatives as mentioned above, or do assisted chins/pullups. Set up an incline bench near the pullup bar, and keep one foot on it to provide you just enough help to get pulled up, then lower yourself without any assistance. The preferred method would be to use a jump stretch band - tie both ends to the pullup bar, and put your knees in the middle. The band will help from full extension (usually the weakest part of a pullup), and as you get closer to the bar, some tension will be released allowing you to use more of your body weight. Also, do some rows (either cable or bent BB rows) with a pronate grip (palms facing you). You'll be working your back, rear delts and your bi's, getting most bang for your buck.
Don't neglect your triceps either... they make up 2/3 of your upper arm mass! Dips and close grip bench will nail your tri's, and give your chest and front delts a good workout too.
Soooo... pullups, rows, bench, and dips - hits nearly every muscle in your upper body, and would be WAY more effective for your arms than just curls.