Mathematical Modelling Laboratory

A.Y. 2019/2020
Overall hours
MAT/06 MAT/07 MAT/08 MAT/09
Learning objectives
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.
Course syllabus and organization

Single session

Lesson period
Second semester
Course syllabus
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.
Teaching methods
Lectures and lab,
Teaching Resources
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
Laboratories: 72 hours
on appointment
office 2099