Euler-Lagrange EquationExplores the classical methods for solving optimization problems, emphasizing the Euler-Lagrange equation and its variants.
Linear Statics of Deformable SolidsIntroduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.
Translation Groups on [0,1]Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.
Solute Transport in Porous MediaExplores solute transport in porous media, covering advection-diffusion equations, boundary conditions, reactions, and numerical modeling in PHREEQC.
Introduction to PDESCovers harmonic functions, Laplacian operator, Dirichlet and Robin problems, and sub-harmonic functions in Partial Differential Equations.