This course mainly intends to introduce the classical solution methods in aeroelasticity. Additionally, computational methods are introduced via demonstrations and theoretical classes utilizing the aeroelasticity module of MSC Nastran and MSC Flightloads. For dynamic aeroelastic problems, understanding the underlying principles of unsteady aerodynamics is crucial to have firm understanding of the dynamic aeroelastic phenomena. Therefore, in the course special emphasis is given to the subject of unsteady aerodynamics of oscillating airfoils and arbitrary motion of airfoils. Static aeroelastic and dynamic aeroelastic problems are introduced utilizing 3D and 2D models to teach the classical solution methods. Classical solutions methods are complemented with computational examples utilizing MSC Nastran and MSC Flightloads to explain the methodologies involved in aerodynamic-structure coupled problems. Solution of dynamic response problems of aeroelastic systems are explained for arbitrary motion and gust response of lifting surfaces.