Advanced Aerodynamics extends the basic principles to analyze complex flow phenomena around aircraft, spacecraft, and other vehicles. It covers compressible and high-speed flows, transonic and supersonic aerodynamics, and shock waves. The subject also explores viscous effects, boundary layer control, aeroelasticity, and turbulence modeling. Mathematical tools, including Navier-Stokes equations, potential flow theory, and computational fluid dynamics (CFD), are applied to predict aerodynamic performance accurately. Advanced Aerodynamics is essential for designing high-speed aircraft, rockets, and drones, optimizing lift-to-drag ratios, and ensuring stability and control under complex flight conditions.