- Docente titolare: Simone Mattavelli
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La teoria della probabilità è oggi applicata in una grande varietà di campi tra cui fisica, ingegneria, informatica, biologia, economia e scienze sociali.
Questo corso è un'introduzione rigorosa alla teoria del calcolo delle probabilità che ha le martingale di Doob e l'introduzione ai processi stocastici come tema di prospettiva.
Sono presentate proposte di tesi in probabilità, calcolo stocastico e statistica matematica con applicazioni
- Docente titolare: Daniela Morale
La teoria della probabilità è oggi applicata in una grande varietà di campi tra cui fisica, ingegneria, informatica, biologia, economia e scienze sociali.
Questo corso è un'introduzione rigorosa alla teoria del calcolo delle probabilità che ha le martingale di Doob e l'introduzione ai processi stocastici come tema di prospettiva.
Dopo una breve panoramica sui fondamenti della teoria di base, si approfondisce l'importante concetto di valore atteso condizionato. Si introducono quindi nel dettaglio i processi stocastici con particolare riferimento alle proprietà di misurabilità e la costruzione dello spazio dei cammini. Si studia a fondo in particolare la teoria di due classi di processi: le martingale sia a tempo discreto che a tempo continuo ed i processi di Markov, sia attraverso le sue caratterizzazioni, sia considerando le catene di Markov a tempo discreto
- Docente titolare: Marco Alessandro Fuhrman
- Docente titolare: Daniela Morale
- Docente titolare: Stefania Ugolini
- Docente titolare: Cristina Battaglia
- Docente titolare: Elena Battaglioli
- Docente titolare: Maura Francolini
- Docente titolare: Cristina Battaglia
- Docente titolare: Elena Battaglioli
- Docente titolare: Maura Francolini
Overview and scope
This course offers a comprehensive introduction to computer programming using the C language, one of the most popular, efficient, and high-performing programming languages despite its age.
We will cover the essential components of C, beginning with an overview of computer architecture. Students will learn C's fundamental syntax and grammar, including primitive data types, expressions, statements, control structures, and functions. We will also introduce practical programming techniques. As the course progresses, students will explore more advanced concepts such as derived data types, pointers, and dynamic memory allocation.
The primary focus is hands-on programming practice with weekly laboratory exercises. Daily practice is highly encouraged, especially for those not yet experienced in programming.
- Docente titolare: Lorenzo Capra
The workshop is intended to provide students with an understanding of the UN-led development agenda adopted in Paris, an overview of the SDGs and to equip them with the managerial tools to develop and understand sustainable development projects.
The classes will focus on the project management approach to sustainable development, analyzing the different phases of sustainable development projects: Identification, formulation, implementation, monitoring and evaluation.
Methodology:
The course will provide an overview of the theory as well as practical sessions allowing students to have a hands on involvement in the workshop. The final assignment will be developed during the classes and presented at the end of the course.
Objectives:
The course’s objective is to expose students to result based management and to allow students to acquire an understanding of key practical tools in project management and the ability to apply them to sustainable development.
Learning outcomes:
By the end of this module, students should be able to:
- understand the workings of the Paris Agreement, Agenda 2030 and the SDGs
- apply the relevant management tools to all the phases of a sustainable development projects
Students requirements:
Attendance is mandatory, students are required to attend 70% of classes, active participation is essential in order to pass the course. A final group assignment is mandatory and will be presented in class.
Final assessment:
The final grade will be based on class participation (35%), attendance (15%) and final assignment(50%)
- Docente titolare: Bianca Cravenna
- Docente titolare: Bianca Cravenna
Course Introduction: Proteomics and Metabolomics in Biomedicine
In the age of systems biology and personalized medicine, the study of proteomics, metabolomics, and other 'omics' disciplines has become indispensable across diverse scientific fields. These disciplines have gained prominence thanks to the advances in genome sequencing, bioinformatics, and cutting-edge analytical technologies, driving significant progress in biochemistry and analytical chemistry. Proteomics, which focuses on the large-scale study of proteins—the fundamental building blocks of life—along with metabolomics, which examines the small molecules in biological systems, are now key to unraveling complex biological processes and disease mechanisms.
This Master’s course is designed to provide both foundational knowledge and insight into the most recent breakthroughs in mass spectrometry, proteomics, and metabolomics. The curriculum aims not only to impart theoretical understanding but also to apply this knowledge in practice through interactive assignments and hands-on laboratory experiences. By engaging in real-world data analysis and experimental work, students will develop the scientific reasoning necessary to approach contemporary biomedical challenges.
One of the primary goals of this course is to cultivate a deep understanding of the principles and broad applications of proteomics and metabolomics in biomedical research. Special emphasis will be placed on innovative technologies and emerging research frontiers, ensuring that students are well-prepared to contribute to cutting-edge developments in these fields.
Course Structure
The first half of the course will concentrate on methodologies used for protein purification, analysis, and identification. Students will explore a range of techniques from basic workflows to advanced mass spectrometry-based approaches. In the second half, the focus will shift to specific real-world applications, featuring case studies from the latest scientific literature. These case studies will examine comparisons between healthy and diseased biological specimens, new methodologies for analyzing signal transduction pathways, and the comprehensive analysis of protein-protein interactions and post-translational modifications in various cell types.
A dedicated section will cover metabolomics, focusing on its principles and role in deciphering metabolic pathways, disease biomarkers, and therapeutic interventions. Students will gain an integrated perspective on how metabolomics complements proteomics in biomedical research.
Learning Outcomes
By the end of this course, students will:
- Understand core concepts: Develop a solid foundation in proteomics and metabolomics, including key technologies such as mass spectrometry, various instruments, and quantitative techniques used in both fields.
- Evaluate methodologies: Gain the ability to critically assess different approaches based on manual workload, cost-efficiency, sensitivity, scalability, and specific research needs.
- Design proteomics workflows: Learn to construct and evaluate workflows, from sample preparation and mass spectrometry data acquisition to data analysis and interpretation.
- Perform data analysis: Acquire hands-on experience in processing raw proteomic and metabolomic data, including conversion to standardized formats, conducting quality control, and identifying proteins using bioinformatics tools.
- Explore applications in biomedicine: Understand the broad applications of proteomics and metabolomics in biomedical and biological research, including disease diagnosis, therapeutic target discovery, and personalized medicine approaches.
- Docente titolare: Tiziana Bonaldi
- Docente titolare: Nico Mitro
Course Introduction: Proteomics and Metabolomics in Biomedicine
In the age of systems biology and personalized medicine, the study of proteomics, metabolomics, and other 'omics' disciplines has become indispensable across diverse scientific fields. These disciplines have gained prominence thanks to the advances in genome sequencing, bioinformatics, and cutting-edge analytical technologies, driving significant progress in biochemistry and analytical chemistry. Proteomics, which focuses on the large-scale study of proteins—the fundamental building blocks of life—along with metabolomics, which examines the small molecules in biological systems, are now key to unraveling complex biological processes and disease mechanisms.
This Master’s course is designed to provide both foundational knowledge and insight into the most recent breakthroughs in mass spectrometry, proteomics, and metabolomics. The curriculum aims not only to impart theoretical understanding but also to apply this knowledge in practice through interactive assignments and hands-on laboratory experiences. By engaging in real-world data analysis and experimental work, students will develop the scientific reasoning necessary to approach contemporary biomedical challenges.
One of the primary goals of this course is to cultivate a deep understanding of the principles and broad applications of proteomics and metabolomics in biomedical research. Special emphasis will be placed on innovative technologies and emerging research frontiers, ensuring that students are well-prepared to contribute to cutting-edge developments in these fields.
Course Structure
The first half of the course will concentrate on methodologies used for protein purification, analysis, and identification. Students will explore a range of techniques from basic workflows to advanced mass spectrometry-based approaches. In the second half, the focus will shift to specific real-world applications, featuring case studies from the latest scientific literature. These case studies will examine comparisons between healthy and diseased biological specimens, new methodologies for analyzing signal transduction pathways, and the comprehensive analysis of protein-protein interactions and post-translational modifications in various cell types.
A dedicated section will cover metabolomics, focusing on its principles and role in deciphering metabolic pathways, disease biomarkers, and therapeutic interventions. Students will gain an integrated perspective on how metabolomics complements proteomics in biomedical research.
Learning Outcomes
By the end of this course, students will:
- Understand core concepts: Develop a solid foundation in proteomics and metabolomics, including key technologies such as mass spectrometry, various instruments, and quantitative techniques used in both fields.
- Evaluate methodologies: Gain the ability to critically assess different approaches based on manual workload, cost-efficiency, sensitivity, scalability, and specific research needs.
- Design proteomics workflows: Learn to construct and evaluate workflows, from sample preparation and mass spectrometry data acquisition to data analysis and interpretation.
- Perform data analysis: Acquire hands-on experience in processing raw proteomic and metabolomic data, including conversion to standardized formats, conducting quality control, and identifying proteins using bioinformatics tools.
- Explore applications in biomedicine: Understand the broad applications of proteomics and metabolomics in biomedical and biological research, including disease diagnosis, therapeutic target discovery, and personalized medicine approaches.
- Docente titolare: Tiziana Bonaldi
Programma: Il corso offrirà una panoramica sui fondamenti della psicologia culturale e cross-culturale, sia esaminando le diverse correnti di pensiero sia fornendo strumenti per comprendere la connessione tra psichismo e cultura. In questo contesto, saranno esplorati i concetti di cultura, artefatti, immagine di sé e dell'altro, filiazione e affiliazione, nonché quelli di malattia e cura. Particolare attenzione sarà dedicata alle relazioni comunicative in contesti transculturali.
Le questioni teoriche trattate saranno analizzate alla luce delle dinamiche della società contemporanea, mettendo in evidenza le applicazioni relative alla costruzione di soggetti "diversi" e al rapporto con l'altro (ad esempio migrazioni, differenze di genere, orientamenti o identità sessuali, ecc.), insieme ai cambiamenti sociali che interessano in modo significativo l’ambito internazionale.
Prerequisiti: Il corso è impostato per studenti che non hanno una precedente formazione in Psicologia.
Modalità didattiche: Il corso richiede una partecipazione attiva costante da parte di studenti e studentesse.
Le modalità didattiche prevedono lezioni frontali; lavori individuali e di gruppo; ascolto di testimonianze.
Materiali di riferimento: Il programma d’esame è lo stesso per frequentanti e non frequentanti e consiste nei seguenti testi:
Inghilleri P., (a cura di) (2009), Psicologia culturale, Raffaello Cortina, Milano.
Finco R., (a cura di) (2022), Esperienze di cura in migrazione. Forme dell’invisibile e narrazioni possibili: l’orizzonte etnoclinico, Ombre Corte, Verona (studiare da pagina 7 a 112).
Goussot A., (2014), L’approccio transculturale nella relazione di aiuto. Il contributo di Georges Devereux tra psicoterapia ed educazione, Aras, Fano (studiare da pagina 9 a 216).
- Docente titolare: Rita Finco
- Docente titolare: Gherardo Carullo
- Docente titolare: Eduardo Parisi
- Docente titolare: Sara Valaguzza
The aim of this course is to equip students with knowledge and understanding of the economic role of governments in modern market economies. By the end of the course, students will possess the analytical tools to understand why and under what circumstances government intervention in the economy is desirable; why and under what circumstances government provision of some goods and services is needed; why and how governments should regulate certain private economic activities; how taxation and transfers affect the welfare and behaviour of households and firms.
- Docente titolare: Michele Santoni
The aim of this course is to equip students with knowledge and understanding of the economic role of governments in modern market economies. By the end of the course, students will possess the analytical tools to understand why and under what circumstances government intervention in the economy is desirable; why and under what circumstances government provision of some goods and services is needed; why and how governments should regulate certain private economic activities; how taxation and transfers affect the welfare and behaviour of households and firms.
- Docente titolare: Michele Santoni
- Docente titolare: Irene Pellizzone
- Docente titolare: Stefano Silingardi
- Docente titolare: Irene Pellizzone
- Docente titolare: Stefano Silingardi
The aim of the course is to teach students to design and develop for virtual reality (VR). Participants will learn to develop for VR in a standard tool such as Unity, create interactions between avatar bodies and virtual objects, and design selection and manipulation techniques for VR. The course focuses both on the technical aspects of VR as well on the human-centred aspects. These skills are needed to develop for headset-based VR, but also in developing for other headset-based technologies, such as augmented reality. Learning will take place through lectures and hands-on VR development exercises. Students will learn also the mathematical foundations of both Virtual Reality and Augmented Reality as well as avatar animation. Extensive practice in the laboratory with devices of current use (Oculus-rift, Google card, 3D cameras, Leap Motion) will be provided.
- Docente titolare: Nunzio Alberto Borghese
The course has two main goals: 1) to promote a deep understanding of the computational structure of the Life Cycle Analysis (LCA) methodology; 2) to apply this methodology to evaluate the sustainability of materials and processes. In pursuing these goals, special attention will be paid to the definition and construction of systems of environmental impact indicators to be used in the assessment procedure. A consistent portion of the course will be devoted to the application of the LCA methodology to representative real-life cases. Exercise sessions will be mainly quantitative; no specific numerical skills are required.
Students will master the Life Cycle Analysis (LCA) methodology and will be able to apply it to real life cases (product or process). They will be able to present a case study on a topic of their choice.
No specific prerequisites are required to follow this course. However, a good understanding of mass and energy balances and good computer skills can be helpful in tackling the material and carrying out the activities more effectively.
· W.
Klöpffer and B. Grahl, Life Cycle Assessment (LCA) - A Guide to Best Practice,
Wiley-VCH, 2014
· M.F. Ashby, Materials and the Environment - Eco-informed materials choice,
Elsevier, 2013
- Life Cycle Assessment Handbook: A Guide for Environmentally Sustainable
Products, Editor(s):Mary Ann Curran, 2012, Print ISBN:9781118099728,
DOI:10.1002/9781118528372
- Docente titolare: Claudia Letizia Maddalena Bianchi

The course will provide students with the basic tools for the academic production of academic and non-academic research: reading, writing, craftsmanship, theory. Students will be offered an overview of both qualitative and quantitative techniques in the social sciences. The course also works as a platform for students to start reasoning about the MA thesis.
The course topics include: Overview of research strategies and un underlying epistemological and ontological considerations; Overview of research designs; Planning a research project; Reviewing the literature; Ethics in research; Introduction to quantitative research: Sampling; Structured interviewing; Self-completion questionnaires; Asking Questions; Structured observation; Content Analysis; Secondary analysis and official statistics; Introduction to qualitative research: Sampling in qualitative research, Ethnography and participant observation, Interviewing in qualitative research; Focus groups; Language in qualitative research; Documents as sources of data; Qualitative data Analysis; Mixed methods research
- Docente titolare: Giulia Maria Dotti Sani