CODE 114633 ACADEMIC YEAR 2025/2026 CREDITS 6 cfu anno 2 INGEGNERIA INFORMATICA 8719 (L-8) - IMPERIA SCIENTIFIC DISCIPLINARY SECTOR MAT/07 LANGUAGE English TEACHING LOCATION IMPERIA SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: MATHEMATICAL METHODS AND OPERATIONS RESEARCH AIMS AND CONTENT LEARNING OUTCOMES 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. AIMS AND LEARNING OUTCOMES 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. TEACHING METHODS 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. SYLLABUS/CONTENT 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. RECOMMENDED READING/BIBLIOGRAPHY Lecture notes on the whole content of the course are provided. TEACHERS AND EXAM BOARD ANGELO MORRO LESSONS Class schedule The timetable for this course is available here: Portale EasyAcademy