Degree | Type | Year | Semester |
---|---|---|---|
4313136 Modelling for Science and Engineering | OT | 0 | 1 |
Students must have mathematical and computational skills at the level of a science degree.
The Mathematical Modelling Workshop is aimed at analyzing and solving real-world problems by means of mathematics. It has a very practical and interdisciplinary character.
Mathematical modelling, i.e. solving real-world problems by means of mathematics.
Mathematical modelling is a problem-driven task. Its methodology is quite generic and revolves around the so-called mathematical modelling cycle: 1. Analysis, simplification, representation; 2. Mathematical treatment; 3. Interpretation; 4. Validation, error estimation, refinement.
The main activity of the workshop is a project to be developed by the students, organized in teams. Besides, the workshop will include also some talks about general ideas, techniques and illustrative examples.
The project simulates the situation of a team of professionals that has been hired by a company.
The subject of the project will be a real-world problem. The project must end up in a final presentation of the results. This presentation will comprise both an oral dissertation and a written memoir. Both of them should be addressed to the (possibly hypothetical) company or organization that proposed the problem. As a general rule, technicalities will be relegated to special sections of the written memoir.
Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.
Title | Hours | ECTS | Learning Outcomes |
---|---|---|---|
Type: Directed | |||
Lectures | 38 | 1.52 | 2, 1, 3, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
Project | 112 | 4.48 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
In principle, the marks of the evaluation items 1 and 2 will be the same for all members of each team, whereas those of items 3 and 4 have an individual character. In exceptional cases where a component of a team has collaborated clearly less than his/her teammates, his/her grades in items 1 and 2 will be multiplied by a factor less than 1.
Item 1 will take into account the results of the project as well as the progress in new knowledge in connection with the project.
Items 2 and 3 refer to the organization and expression of the discourse, both in writing (item 2) and in speech (item 3).
The exam (item 4) will be about (a) the general concepts and illustrative examples that will be presented in the course, and possibly (b) the team project.
All evaluation items require, as conditions sine quibus non, the originality of the work and the correctness of the mathematics.
Title | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
1. Team project. Contents | 40 | 0 | 0 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
2. Team project. Written presentation | 20 | 0 | 0 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
3. Team project. Oral presentation | 10 | 0 | 0 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
4. Exam | 30 | 0 | 0 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
Ch. Rousseau + Y. Saint-Aubin, 2008. Mathematics and Technology. Springer.
No specific software is required