Introduces the basics of wave propagation, covering longitudinal and transverse waves, superposition, reflection, d'Alembert equation, Fourier decomposition, and wave surfaces.
Explores the method of separation of variables for the wave equation and the importance of Fourier coefficients in solving boundary and initial conditions.
Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.
Explores a priori error estimation in the finite elements method, covering convergence analysis, orthogonality, weak formulations, and optimal precision.