This course introduces fundamental concept in plasma physics and magnetohydrodynamics (MHD). The topics include kinetic theory, the Vlasov equation, and the relation between kinetic and fluid models. The Unified Gas Kinetic Scheme (UGKS) will be introduced, which simulates plasma from the Vlasov equation in the kinetic scale to all kinds of MHD equations in the hydrodynamic scale. Multiple numerical test cases will be used to validate Plasma-UGKS. Students should seek instructor's approval to register for this course.