This lecture covers the theory and applications of nonadiabatic dynamics, focusing on semiclassical methods and the Meyer-Miller Stock Thoss mapping. It explores the challenges of constructing classical Hamiltonian dynamics for transitions between electronic states and the semiclassical solution to map discrete electronic states to continuous classical variables. The lecture also delves into the history of the classical electron model and the Cartesian representation in the context of nonadiabatic dynamics. Additionally, it discusses the symplectic integration scheme and its role in accurately simulating nonadiabatic dynamics.