This course aims to review the classical aspects of partial differential equations and to introduce some modern aspects of mathematical analysis of boundary value problems. In particular, basic topics such as the notion of weak solutions, the maximum principle, the distributions of eigenvalues, or the Euler-Lagrange equations, will be introduced and illustrated, often by considering the simpler case of one-dimensional spatial variable.

30% Coursework 70% Examination (Duration: 3 hours, at the end of the semester) For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.