Modelação e Simulação Matemática

Mestrado em Engenharia Eletrotécnica - Especialização em Controlo e Eletrónica Industrial
6 ECTS; 1º Ano, 2º Semestre, 28,0 T + 28,0 TP + 5,0 OT + 2,0 O

Lecturer
- Cristina Maria Mendes Andrade

Prerequisites
Not applicable.

Objectives
The students will acquire knowledge about mathematical models, calculation techniques and methods:
-analysis of a real situation, its interpretation and simplification
-design and mathematical modelling of real models
-analysis, interpretation and evaluation through simulation.

Program
1. Mathematical Modelation Principles
2. Introduction to Matlab Programming
3. Numerical Methods Topics
3.1. Matrix algebra and linear equations systems
3.2. Non-linear equations
3.3. Polynomial interpolation
3.4. Numerical integration
3.5. Numerical methods for ordinary differential equations
3.6. Differential equations of partial derivatives
4. Simulation: Case studies

Evaluation Methodology
Assessment:
- 2 mandatory group projects (45%+45%)
- 1 individual work (10%)

Bibliography
- Han, W. e Atkinson, K. (2003). Elementary numerical analysis. USA: John Wiley
- Faires, J. e Burden, R. (2011). Numerical analysis.. Boston, USA: Brooks/Cole, Cengage Learning
- Heath, M. (2002). Scientific Computing: an Introductory survey. New York, USA: McGraw-Hill
- Heinz, S. (2011). Mathematical modelling. New York, USA: Springer

Method of interaction
Theoretical-practical lessons focused on the use of Matlab and supported by interactive class debates.

Software used in class
Matlab