CODE 106735 ACADEMIC YEAR 2025/2026 CREDITS 6 cfu anno 1 BIOENGINEERING 11933 (LM-21 R) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/08 LANGUAGE English TEACHING LOCATION GENOVA SEMESTER 1° Semester OVERVIEW The course will introduce and analyze fundamental tools for the numerical solution of mathematical problems and for the mathematical modeling of complex systems, with application in the field of Bioengineering. AIMS AND CONTENT LEARNING OUTCOMES The module aims at introducing some of the main mathematical tools that are largely used in applications, and experimenting with them using the PC. Specific topics include: iterative algorithms The module aims at introducing some of the main mathematical tools that are largely used in applications, and experimenting with them using the PC. Specific topics include: iterative algorithms and gradient methods, interpolation, regularization and inverse problems. AIMS AND LEARNING OUTCOMES The course will provide the mathematical basis allowing the student to treat a diverse class of problems of interest in the field of bioengineering; lectures will focus on both computational techniques, as well as modeling tools for complex systems. In order to better understand the presented topics, theoretical lectures will be complemented by exercises also involving the use of the PC. At the end of the couse, the student will be able to select the proper mathematical tools for solving a large class of problems; understand potential and limitations of the learned techniques; use the PC to analyze and explore mathematical models of complex systems; work in a small team, sharing ideas and discussing how to best develop a project. PREREQUISITES elements of calculus and linear algebta TEACHING METHODS Lectures and computer exercises, done in groups and consisting in realizing a small project and writing a report. SYLLABUS/CONTENT Elements of linear algebra and matrix computation Iterative algorithms Polinomial interpolation and splines Numerical integration Least squares and inverse problems Statistical approach to inverse problems RECOMMENDED READING/BIBLIOGRAPHY Lecture notes provided by the teacher TEACHERS AND EXAM BOARD ALBERTO SORRENTINO Ricevimento: By appointment LESSONS LESSONS START https://corsi.unige.it/11159/p/studenti-orario Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Oral exam ASSESSMENT METHODS During the oral test the candidate may be required to address and solve a given problem; introduce and address a general topic, such as ‘Lagrange interpolation’ or ‘Iterative algorithms for zeros of functions’; graphically represent one of the problems studied; discuss the operation of one of the Matlab codes developed during the exercises. Laboratory exercises carried out during the year are also handed in, in order to test the ability to use complex mathematical models on the computer. Agenda 2030 - Sustainable Development Goals Good health and well being Quality education Gender equality