Ability to apply of the fundamental methods of the analysis in several real variables (differentiation, integration, extremal values with or without side constraints); knowledge of the most important concepts from functional analysis (in particular function spaces, Fourier series and their application) and of classical complex analysis (including the Cauchy residual theorem).
Advances concepts and methods of mathematical analysis, in particular in several variables. Analysisof functions of several variables: diefferentiation, integration; function spaces, Hilbert space methods, Fourier analysis, Sturm-Liouville problems; complex analysis-
