CODE 106819 ACADEMIC YEAR 2022/2023 CREDITS 5 cfu anno 1 INTERNET AND MULTIMEDIA ENGINEERING 10378 (LM-27) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/09 TEACHING LOCATION GENOVA SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: MATHEMATICAL METHODS AND OPERATIONS RESEARCH TEACHING MATERIALS AULAWEB AIMS AND CONTENT AIMS AND LEARNING OUTCOMES The course focuses on three different topics: dynamic optimization, nonlinear programming, and partial differential equations. In more detail, students will learn how to formalize and solve dynamic optimization problem via dynamic programming. Then, they will analyze the formalization and solution of static decision problem using nonlinear programming. Lastly, they will investigate the use of mathematical methods to describe real-world phenomena, such as heat diffusion and wave propagation, and the main analytical solution methods. For all arguments, the focus will be on both methodological concepts and application examples. The various concepts are explained via traditional lessons. TEACHING METHODS Traditional lessons. SYLLABUS/CONTENT - Dynamic programming for the solution of dynamic optimization problems. - Basic notions of nonlinear programming. - Analytical solution of linear partial differential equations describing real-world phenomena. RECOMMENDED READING/BIBLIOGRAPHY Handouts in electronic format provided by the lecturer. Books for additional details: [1] D.P. Bertsekas, “Dynamic Programming and Optimal Control”, Athena Scientific, 2005. [2] F.S. Hillier, G.J. Lieberman, “Introduction to Operations Research”, McGraw-Hill, 2001. [3] R. Courant, D. Hilbert, “Methods of Mathematical Physics”, Interscience Publishers, 1973. [4] R. Bracewell, “The Fourier Transform and its Applications”, McGraw Hill, 1999. [5] P.V. O’Neil, “Advanced Engineering Mathematics”, Brooks Cole, 2003. TEACHERS AND EXAM BOARD MAURO GAGGERO Ricevimento: By appointment to be requested by email. Exam Board MAURO GAGGERO (President) MARCELLO SANGUINETI MASSIMO PAOLUCCI (President Substitute) LESSONS LESSONS START https://corsi.unige.it/10378/p/studenti-orario Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The exam consists of an oral interview to ensure learning of the course content. Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities ASSESSMENT METHODS Learning will be assessed by a number of oral questions regarding the various topics addressed in the course. Exam schedule Data appello Orario Luogo Degree type Note 13/01/2023 09:00 GENOVA Scritto 06/06/2023 08:30 GENOVA Orale 22/06/2023 08:30 GENOVA Orale 01/09/2023 08:30 GENOVA Orale 14/09/2023 14:15 GENOVA Orale FURTHER INFORMATION None.