﻿ Mathematical Modelling and Simulation - Mestrado em Engenharia EletrotécnicaInstituto Politécnico de Tomar

# IPT

Ano Letivo: 2021/22

# Engenharia Eletrotécnica

## Mathematical Modelling and Simulation

Publication in the Diário da República: Despacho n.º 8500/2020 - 03/09/2020

6 ECTS; 1º Ano, 2º Semestre, 28,0 T + 28,0 TP + 5,0 OT + 2,0 O , Cód. 37788.

Lecturer
- Cristina Maria Mendes Andrade (1)(2)

(1) Docente Responsável
(2) Docente que lecciona

Prerequisites
Not applicable

Objectives
The Sustainable Development Goals (SDGs), SDGS4, SDGS5 and SDS8 are considered fundamental in this Curricular Unit in a scenario of poverty eradication, environmental protection and the promotion of prosperity and well-being of all by 2030.
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
Continuous and Exam Assessments:
- mandatory group projects (70%)
- individual works (30%)
oral defense in both cases (mandatory)

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

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

Software used in class
Matlab