This thesis proposes an augmentation of the Complete Method for Trombone by Jean Baptiste Arban. Although it is widely considered one of the leading trombone method books in the world, a thorough consideration of the demands of most performed solo literature today reveals serious shortcomings in the Arban Method for preparing trombonists to encounter such demands as meter and rhythm, keys and tonalities, range and endurance, clefs and F-attachment usage. This thesis thus proposes additions for a new version of the Arban Method that better aligns with the playing demands of the most performed solo literature today, as compiled by the International Trombone Association Journal since 1972.