CODE 80149 ACADEMIC YEAR 2025/2026 CREDITS 12 cfu anno 2 INGEGNERIA BIOMEDICA 8713 (L-8) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/07 LANGUAGE Italian TEACHING LOCATION GENOVA PREREQUISITES Propedeuticità in ingresso Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: Biomedical Engineering 8713 (coorte 2024/2025) GENERAL PHYSICS 80527 2024 MODULES Questo insegnamento è composto da: RATIONAL MECHANICS MATHEMATICAL METHODS FOR THE ENGINEER OVERVIEW The course gives essential contents of mathematics which follow the subjects developed in the first year. AIMS AND CONTENT LEARNING OUTCOMES The course focuses on the following topics: differential and integral calculus for functions of several variables, Fourier series, complex analysis and rational mechanics. The student will acquire the concepts (definitions and theorems), the formal derivations (proofs), and the applications (examples and exercises). PREREQUISITES Mathematical contents of the first year (Mathematical analysis, Geometry) SYLLABUS/CONTENT Multiple integrals. Fourier series and application to periodic signals. Functions of a complex variable and use of residues. Analytical mechanics. RECOMMENDED READING/BIBLIOGRAPHY Lecture notes provided by the teachers. TEACHERS AND EXAM BOARD MARCO BENINI Ricevimento: By appointment. NICOLA PINAMONTI Ricevimento: By appointment. LESSONS LESSONS START https://corsi.unige.it/8719/p/studenti-orario Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION The exam is oral and involves theoretical and applied topics given in the course, 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 The student is required to be able to determine the Fourier series of a periodic signal, evaluate multiple integrals, determine integrals by means of residues, solve dynamic problems of material systems with a finite number of degrees of freedom