Mathematics plays a crucial role in the analysis and optimization of transportation systems by providing tools and methods to model, analyze, and improve various aspects of transportation systems. Mathematical modeling helps in understanding the behavior of complex transportation networks, traffic flow, and logistics operations. Optimization techniques such as linear programming, network optimization, and queuing theory are used to improve system efficiency, reduce congestion, minimize costs, and enhance overall performance. Mathematical models also assist in scenario planning, decision-making, and evaluating the impact of different policies and interventions on transportation systems. In essence, mathematics enables transportation planners and engineers to make data-driven decisions and design effective solutions to enhance the efficiency and sustainability of transportation systems.