Mathematical modeling for biology
A.A. 2020/2021
Obiettivi formativi
The main objective of the course is to provide the basic mathematical tools needed to properly describe some fundamental mechanism in biological phenomena. Therefore, the course mainly focuses on the modelling aspects of Mathematics; it does not deeply enter into the technical details of the proofs, but rather aims at highlighting the meaning of the mathematical concepts and their usefulness in studying Life Science problems. To reach this goal the course is organised into a set of traditional lessons, strictly linked to lab sessions where the students have the opportunity to experience the features of the provided tools, through the use of suitable software platforms (e.g. based on Python programming language).
Risultati apprendimento attesi
At the end of the course, the students will have a basic knowledge of some fundamental tools to describe several biological phenomena. In addition, they will have acquired the ability to develop and implement simple quantitative models through the use of suitable software platforms.
Periodo: Primo semestre
Modalità di valutazione: Esame
Giudizio di valutazione: voto verbalizzato in trentesimi
Corso singolo
Questo insegnamento non può essere seguito come corso singolo. Puoi trovare gli insegnamenti disponibili consultando il catalogo corsi singoli.
Programma e organizzazione didattica
Edizione unica
Periodo
Primo semestre
Le lezioni frontali si terranno telematicamente sulla piattaforma Zoom e saranno erogate sia in sincrono (negli orari prestabiliti) sia in remoto (in caso di impegni improrogabili del docente, partecipazione a congressi, riunioni, etc.).
Il modulo di esercitazioni, allo stesso modo, si svolgerà telematicamente e includerà sia classici esercizi di matematica sia simulazioni numeriche.
Il modulo di esercitazioni, allo stesso modo, si svolgerà telematicamente e includerà sia classici esercizi di matematica sia simulazioni numeriche.
Programma
The course will mainly focus on the basic concepts of Linear Algebra and Ordinary Differential Equation Theory. Concerning Linear Algebra, vectors, matrices and linear transformations will be first studied; afterwards, the problem to solve linear systems and elementary spectral analysis will be faced. Concerning Ordinary Differential Equations, the focus will be in the study of dynamical systems involved in biological phenomena; in particular, linearization techniques, as well as equilibria and their stability, will be considered in connection with specific example of applicative interest. All the mathematical concepts will be also illustrated in the lab lessons.
Prerequisiti
Students should have a preliminary knowledge of basic Calculus: sets, functions, derivatives an integrals. However, at the beginning of the course, a quick review of these concepts will be provided.
Metodi didattici
The lectures will have both the classical format with lessons given by the teachers at the blackboard (or at the whiteboard), and the lab lectures delivered by using suitable software platforms (e.g. based on Python programming language).
Materiale di riferimento
All the useful material will be posted in a dedicated website, e.g. using the UniMi Ariel system.
Modalità di verifica dell’apprendimento e criteri di valutazione
Learning assessment will be through an oral exam at the end of the course. The exam aims at assessing how deeply the student has acquired the mathematical concepts developed during course, as well as her/his ability to applied them in simple situations of biological interest.
MAT/05 - ANALISI MATEMATICA
MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
MAT/07 - FISICA MATEMATICA
MAT/08 - ANALISI NUMERICA
MAT/09 - RICERCA OPERATIVA
MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
MAT/07 - FISICA MATEMATICA
MAT/08 - ANALISI NUMERICA
MAT/09 - RICERCA OPERATIVA
Esercitazioni: 16 ore
Lezioni: 40 ore
Lezioni: 40 ore
Docente:
Capparelli Federica