This course introduces basic technologies and mathematical tools for simulation, analysis, and control of dynamic systems with an emphasis on human motion. The goal of this course is to lay a solid mathematical foundation for graduate students who are interested in pursuing a researcher career in computer graphics, robotics, biomechanics, and numeric analysis. The course consists of three major themes: physics simulation, human motion control , and statistical modeling. A list of topics can be found under “Syllabus”. The format of this course will be a mixture of lectures, paper reading, and discussion. The evaluation of this course is based on three mini-projects and a final research project. The description of each project can be found under “Projects”.