Materiale didattico relativo al corso di DIAGNOSTICA VIROLOGICA E MICROBIOLOGICA (504207)- 3CFU Prof.ssa MIGLIAVACCA, I semestre AA 22/23, corso di studio 37400 - BIOTECNOLOGIE MEDICHE E FARMACEUTICHE
MOD 1 - Valut.Impatto e Legislaz.Amb. Prof GL BISOGNI
MOD 2 - Qualità ambientale Prof. V. VACCARI
Obiettivi
Il corso fornisce uno studio matematico introduttivo di alcune notevoli equazioni alle derivate parziali di tipo evolutivo che descrivono fenomeni di trasporto e diffusione. Si evidenzieranno i legami tra le proprietà fisiche dei sistemi e le proprietà matematiche dei modelli corrispondenti, in particolare l'equazione di Boltzmann lieare e il modello di materia soffice (continui).
Prerequisiti
Nozioni di base di analisi matematica, algebra lineare, meccanica e analisi funzionale.
Contenuti
Primo modulo (3 CFU - F. Salvarani)
Trasporto e diffusione
Introduzione.
Origine delle equazioni di trasporto e diffusione: il random walk, equazione del calore ed equazione del trasporto libero. Il formalismo della teoria cinetica. Scaling di trasporto e di diffusione. Passaggio formale dal trasporto alla diffusione.
L'equazione lineare del trasporto libero.
Il problema di Cauchy. Il metodo delle caratteristiche, stime. Il problema al valore iniziale e al contorno. Bordo entrante, uscente e caratteristico. Tempo di uscita retrogrado, regolarità. Termini di sorgente e assorbimento. Principio del massimo. L'equazione stazionaria del trasporto: teorema di esistenza ed unicità, principio del massimo. Condizioni al contorno "di rinnovo".
Introduzione ai metodi numerici alle differenze finite per l'equazione del trasporto libero.
Consistenza, stabilità e convergenza per metodi numerici alle differenze finite. Gli schemi di Lax-Friedrichs, Upwind e Diamante. Loro proprietà fondamentali.
Equazioni cinetiche
L'equazione di Boltzmann lineare: il problema di Cauchy, problemi ai limiti (condizioni sul bordo entrante, di riflessione speculare e diffusa). Il lemma di Darrozes-Guiraud. Il limite di diffusione per l'equazione di Boltzmann lineare.
Comportamento asintotico di equazioni cinetiche.
necessità di nuova pagina Kiro per l'insegnamento edizione 2002/2023
This course aims at examining the constitutional traditions and forms of government of Italy, Britain and the USA from a historical and comparative perspective. These countries are examples of representative democracy which are similar in many respects, but nonetheless differ in significant ways. In the first part of the course, students will study the genesis and the theoretical evolution of the “modern state” and the concomitant development of the principal forms of government. Then, focusing on the selected country cases, they will examine the constitution, the organization and functioning of the executive, legislature, and judiciary, devolution and local government, and how political parties, interest groups, and the media influence policy-making. Discussion sessions will focus on specific aspects of the organisation of governments and of governmental policies, including – but not limited to - the relationship between market and democracy, corruption, liberty and pluralism.
This course is composed of 4 modules of 3 credits each offered in succession by the course’s conveners and by 1 visiting professor each year teaching in collaboration with Professor Poggiolini, Professor Berkofsky or Professor Zaccaria. A pre-course will also be available.
The main aim of this course is to provide students with basic knowledge of the main trends, events and developments of politics and security in the Transatlantic region, Middle East/Africa and East Asia during the Cold War and in the post-Cold War era. As students will be asked to prepare a presentation and write a final paper, the course will equip them with those skills and abilities necessary to conduct in depth-research on a selected topic in international history and to present convincingly the results of their study/investigation. Students will learn to select and work with relevant archival digital sources and secondary literature in view of writing their final paper. At the end of this course students are expected to be familiar with basic facts and trends in international relations over the last 50 years (in the areas previously described) and to be able to compare and discuss different interpretations of these facts and trends on the basis of the existing literature and data. Students are also expected to establish connections between the contents of the modules of this course. Finally, students are expected to be able to exercise critical thinking in relation to this area of study and to orientate themselves objectively in accessing relevant web sources and dealing with the flow of information available on-line on this subject.
Moving from the basic elements of philosophy and methodology of the social sciences, the course will deal with some of the explanatory theoretical models used in international relations (IR) literature in order to answer questions like: “Why do crises emerge, or wars break out?”; “How do states deal with their security in different situations?”; “According to what strategic patterns do states negotiate, enter into conflict, and form alliances?”; etc. Several examples taken from case studies in IR will empirically illustrate the social scientific explanations provided.
This is a course in applied philosophy: we shall be investigating philosophical problems that arise in the specific context of international relations. In particular, we shall be investigating problems of an ethical nature, problems that involve deciding what, in a moral sense, is the right thing to do. In discussing these problems, we shall take for granted certain facts about the international world: that states exist, lay claim to territories, and exercise coercive power; that states protect, but also violate, human rights; that conflicts, including armed conflicts, arise between states, and between groups within and across states. We shall be trying to explain, not these facts themselves, but our moral reactions to them, and the moral duties and claims that we think states, groups, and individuals have with respect to one another in the various contexts that these facts create. Among the concepts to be investigated are: rights and human rights; the domestic vs international scope of duties of distributive justice; territorial rights and their ethical foundation; open vs closed borders and the ethics of immigration; the ethics of war; the ethics of terrorism.
Il corso di Elementi di Elementi di Psicopatologia intende fornire agli studenti le competenze di base critiche per comprendere e affrontare il disagio psicologico a partire dalla diagnosi.