Student will understand model partial differential equations, basic methods of approximation of the solution of the boundary value problems, variational equalities and inequalities, their abstract structure and methods of solution. He/she will understand the role of these conceps in applications.
K. Rektorys, Variational Methods in Mathematics, Science and Engineering. Reidel, Dordrecht, 1980
G. Strang, Introduction to Applied Mathematics. Wellesley-Cambridge Press, 1986.