This document discusses various methods for IT project management: linear, incremental, iterative, adaptive, and extreme. The linear method assumes perfect information about goals and solutions. The incremental method allows for modifications while goals and solutions must be clearly defined. The iterative method allows for an incomplete solution that is discovered through iterations. The adaptive method has an unknown or partially known solution with risks and uncertainty. The extreme method has undefined goals and solutions with repeated processes and open-ended budgets and timelines.