The course proposes the study of some applied research problems. The goal is to develop, implement and apply proper mathematical models requiring the development of suitable tools, possibly based on simulations and data analysis. The topics may vary across the years, according to the teachers holding the course and the research themes they propose.
Expected learning outcomes
To develop a mathematical model describing physical, biological, social, financial phenomena. To design a numerical algorithm and to implement a computational code in order to simulate phenomena described by a mathematical model. To work in a team. To write a scientific report. To structure a scientific presentation.
Lesson period: Second semester
(In case of multiple editions, please check the period, as it may vary)
Gradual development of mathematical models for applied research problems through: the analysis of literature and of the main properties of the models; the development and implementation of proper algorithms for the numerical simulations and the statistical analysis; representation interpretation and validation of the results.
Prerequisites for admission
Basic knowledge of Mathematical Analysis, Numerical Analysis, Probability and Statistics, Mathematical Physics, Programming.
Lectures and lab,
Bibliography will be provided during the lectures depending on the project assigned to the students.
Assessment methods and Criteria
The final examination consists of two parts: a lab exam and an oral exam.
-The lab exam consists in developing a project, which will be assigned in advance by the professor. The project consists of designing a code for the numerical simulation of a mathematical model. The project will be presented by the student during the oral exam. The lab portion of the final examination serves to assess the capability of the student to put a problem of mathematical modeling into context, find a solution and to give a report on the results obtained.
- In the oral exam, the student will be required to illustrate the project assigned.
The complete final examination is passed if all two parts (lab and oral) are successfully passed. No marks are given.
MAT/06 - PROBABILITY AND STATISTICS - University credits: 0
MAT/07 - MATHEMATICAL PHYSICS - University credits: 0
MAT/08 - NUMERICAL ANALYSIS - University credits: 0
MAT/09 - OPERATIONS RESEARCH - University credits: 0