week 1: bucket (or 1 gallon of springwater in a plastic DJ if 1 gal batches are allowed), ingredients, airlock if needed for bucket, sanitizer, optional: hydrometer.
week 2: hydrometer (if not already bought), thief/baster, test tube
week 3: carboy, siphon tube, airlock (if you don't already have one)
week 4: chemicals and finings as needed
week 5: corker/capper, bottling wand, hopefully you've collected bottles in this time.
Think that's everything