This document outlines various methods used in artificial intelligence and complex systems modeling including formal methods like model checking and verification, nature-inspired techniques from gene regulatory networks and swarm insects, reasoning approaches such as strategic reasoning, AI planning and compositional reasoning, decision making tools from game theory and economics, modeling styles like dynamical, multi-scale and agent-based modeling, simulation and analysis techniques including numerical simulation and high-performance computing, data-focused areas such as large data analysis, machine learning and social computing, and optimization techniques.