Civil Engineering

The course aims at providing knowledge of the most important notions of the real analysis in multidimensional spaces. Concepts of limit, continuity, derivative, differential and integral are extended to multidimensional spaces. An introduction is given to the fundamental concepts of sequence and series of functions. The basic request of the class lies in the practical use of these mathematical tools, besides a deep understanding of the theoretical background. Finally, a short description of the quasi-linear partial differential equations is given, with particular regard to the classification and to the main properties of elliptic, parabolic and hyperbolic systems.It is required the ability to perform basic operations such as limits, partial derivatives, differentials and integrals in multidimensional real spaces. All these tools have to be used in a critical and constructive way. At the same time, a deep knowledge of the theoretical background is also required. The present class aim at encouraging the approach towards new mathematical problems as well as to reach a satisfactory capability in the practical use of the Mathematical Analysis in the Engineering Sciences.