Modelling Workshop
Code: 42255 ECTS Credits: 6| Degree | Type | Year | Semester |
|---|---|---|---|
| 4313136 Modelling for Science and Engineering | OT | 0 | 1 |
Contact
- Name:
- Susana Serna Salichs
- Email:
- susana.serna@uab.cat
Teaching groups languages
You can check it through this link. To consult the language you will need to enter the CODE of the subject. Please note that this information is provisional until 30 November 2023.
Teachers
- Lluis Alseda Soler
- Martin Hernan Campos Heredia
- Judit Chamorro Servent
Prerequisites
Students must have mathematical and computational skills at the level of a science degree.
Objectives and Contextualisation
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.
Competences
- Analyse complex systems in different fields and determine the basic structures and parameters of their workings.
- Analyse, synthesise, organise and plan projects in the field of study.
- Apply logical/mathematical thinking: the analytic process that involves moving from general principles to particular cases, and the synthetic process that derives a general rule from different examples.
- Apply specific methodologies, techniques and resources to conduct research and produce innovative results in the area of specialisation.
- Continue the learning process, to a large extent autonomously.
- Formulate, analyse and validate mathematical models of practical problems in different fields.
- Isolate the main difficulty in a complex problem from other, less important issues.
- Look for new areas to open up within the field.
- Present study results in English.
- Show responsibility in information and knowledge management and in group/ project leadership in multidisciplinary teams.
- Solve complex problems by applying the knowledge acquired to areas that are different to the original ones.
- Use acquired knowledge as a basis for originality in the application of ideas, often in a research context.
- Use appropriate numerical methods to solve specific problems.
Learning Outcomes
- Analyse, synthesise, organise and plan projects in the field of study.
- Apply logical/mathematical thinking: the analytic process that involves moving from general principles to particular cases, and the synthetic process that derives a general rule from different examples.
- Apply specific methodologies, techniques and resources to conduct research and produce innovative results in the area of specialisation.
- Choose the best description of a system on the basis of its particular characteristics
- Construct and resolve models to describe the behaviour of a real system.
- Continue the learning process, to a large extent autonomously.
- Implement the appropriate numerical methods to find a solution to the problem being studied.
- Isolate the main difficulty in a complex problem from other, less important issues.
- Look for new areas to open up within the field.
- Present study results in English.
- Provide a solution to a real problem with time restrictions.
- Show responsibility in information and knowledge management and in group/ project leadership in multidisciplinary teams.
- Solve complex problems by applying the knowledge acquired to areas that are different to the original ones.
- Use acquired knowledge as a basis for originality in the application of ideas, often in a research context.
Content
Mathematical modelling, i.e. solving real-world problems by means of mathematics.
Methodology
The main activity of the workshop is the development of mathematical modeling projects by students organized in teams.
The course is organized in three fundamental parts, in addition to some preparation sessions for the presentation of the projects and their evaluation.
Each of the fundamental parts consists of five sessions of two hours each. The first two sessions of each part are dedicated to the presentation of a real life problem and to the introduction of the basic mathematical and computational tools necessary to address the solution of the proposed problem. In the following three sessions of each part of the course, students work in teams to provide a solution to the proposed problem. In these sessions the students are supervised and have the advice of the teaching staff of the subject to complete the projects.
At the end of the course the three projects will be presented in the form of an oral dissertation and a written report.
The projects that will be covered in this course are:
Astronomical seeing coditions forecasting in Teide Observatory.
Fitting data with dynamical models: lessons on mathematical field work.
When a mathematical model and data are connected by an inverse problem: applications for imaging and signal.
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.
Activities
| 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 |
Assessment
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 deal with (a) the general concepts and illustrative examples addressed in the projects.
Assessment Activities
| Title | Weighting | Hours | ECTS | Learning Outcomes |
|---|---|---|---|---|
| 1. Team project. Contents | 30 | 0 | 0 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
| 2. Team project. Written report | 25 | 0 | 0 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
| 3. Team project. Oral presentation | 25 | 0 | 0 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
| 4. Exam | 20 | 0 | 0 | 2, 1, 3, 10, 5, 12, 11, 8, 7, 9, 6, 13, 4, 14 |
Bibliography
General: Ch. Rousseau + Y. Saint-Aubin, 2008. Mathematics and Technology. Springer.
The necessary bibliography and references are provided for each project.
Software
No specific software is required