Two pry bar/nail pullers, one large, one small. I sharpened the tip of the small one in order to get under the roofing nails.
Flashlight - I needed this to see under shingles to locate nails.
Trowel for spreading roofing cement.
New shingles. I took an old one to the store so I could find a close match.
Tarpaper underlayment. Get the 30# type, not the thin 15#. I'll explain later.
Roofing cement (tar/sealant). I got a gallon of Henry brand. messy, very messy. You will pitch the gloves later.