Information updated until 30/06/2026 CODE 104742 ACADEMIC YEAR 2026/2027 CREDITS 6 cfu anno 2 INGEGNERIA BIOMEDICA 11878 (L-8 R) - GENOVA 6 cfu anno 2 INGEGNERIA INFORMATICA 11880 (L-8 R) - GENOVA 6 cfu anno 2 INGEGNERIA ELETTRONICA E TECNOLOGIE DELL'INFORMAZIONE 11911 (L-8 R) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/07 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester PREREQUISITES Propedeuticità in ingresso Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: Electronic Engineering and Information Technology 11911 (coorte 2025/2026) MATHEMATICAL ANALISYS 1A 118098 2025 MODULES Questo insegnamento è un modulo di: MATHEMATICAL PHYSICS AIMS AND CONTENT LEARNING OUTCOMES Concepts and methods of calculus concerning functions of several variables, Fourier series, and functions of a complex variable. AIMS AND LEARNING OUTCOMES Students will acquire the basic tools of mathematical analysis for functions of several real variables, the ability to construct and study the convergence of Fourier series, and the skills to analyse analytic functions of a complex variable. In detail, the topics covered include: 1) differential and integral calculus for functions of several variables, line and surface integrals; 2) Fourier series and their convergence, calculation of Fourier coefficients; 3) analytic functions of a complex variable, Cauchy’s integral formula, the fundamental theorem of calculus, residues, calculus and applications. TEACHING METHODS Frontal lecture. Working students or students who have special needs are advised to contact the teacher, at the beginning of the course, so as to establish methodologies consistent with the individual learning methods. SYLLABUS/CONTENT Line integrals, surface integrals, multiple integrals. Differential calculus for functions of several variables. Fourier series: proof, calculation of coefficients, series with a general period. Analytic functions of a complex variable: Cauchy–Riemann conditions, Cauchy’s theorem, the fundamental theorem of algebra, residues and applications to integrals of functions of a real variable. RECOMMENDED READING/BIBLIOGRAPHY Lecture notes provided by the teacher. TEACHERS AND EXAM BOARD MARCO BENINI Ricevimento: To schedule an appointment, get in touch with the lecturer via email: marco.benini@unige.it. NICOLA PINAMONTI Ricevimento: By appointment. LESSONS LESSONS START https://easyacademy.unige.it/portalestudenti/index.php?view=easycourse&_lang=it&include=corso Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The examination is conducted orally. Students with learning disorders 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 The oral examination is designed to assess students’ proficiency in the concepts covered. In particular, it assesses their proficiency in the theoretical concepts and methods covered in the course, as well as their ability to solve problems.
