This teaching unit provides the basic notions of optimization methods for solving decision-making problems. In particular, it provides the knowledge to mathematically model a decision problem and solve it through linear programming, integer linear programming, nonlinear programming, and graph optimization techniques.
The aims and the learning outcomes deal with both the mathematical developments (definitions, consequences, applications) and the usage of the known mathematical tools for the solution of practical problems. The exam consists of both written and oral parts.
The lectures are given by writing directly on the blackboard and deriving step-by-step the mathematical developments. The lectures give both theoretical developments and applications.
The course consists of three parts. Functions of several real variables: continuity, differentiability, Taylor's formula, Gauss-Green formulae, multiple integrals, line integrals, surface integrals. Functions of a complex variable: differentiability, Cauchy-Riemann conditions, integration, Cauchy's theorem, fundamental theorem of algebra, residues. Fourier series: series of functions, Riemann-Lebesgue lemma, Fourier theorem, sine-cosine and complex forms.
Lecture notes on the whole content of the course are provided.
ANGELO MORRO (President)
The timetable for this course is available here: EasyAcademy
