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) Lead Professor
(2) Teaching Professor
Prerequisites
Not applicable
Objectives
The students will acquire knowledge about mathematical models, calculation techniques, and methods:
-analysis of real situations, its interpretation, and simplification
- design and mathematical translation of real models
- basic programming concepts in Matlab
- application of numerical methods to the resolution of various theoretical and practical problems, with a view to their generalization to practical cases
- the creation of Matlab routines to solve several problems transversal to all the subjects taught
- Critical analysis of the results, interpretation, and evaluation through simulation based on several case studies.
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:
- 1 mandatory group project (30%)
- 5 individual works (7=%)
oral defense in both cases (mandatory)
Exams only: 1 mandatory group and 5 individual works, plus additional work done in one day (70%)
all subject to oral defense (mandatory). In all evaluation periods, absence from the oral defense results in a grade of 9 (nine).
(minimum approval grade 10/20)
Bibliography
- , . e Conte, S. (2018). Elementary Numerical Analysis An Algorithmic Approach Updated with MATLAB Classics in Applied Mathematics . (pp. 1-456). USA: SIAM - Society for Industrial and Applied Mathematics
- Afonso, P. e Salgado, P. (2019). Introdução à Programação em Matlab. (pp. 1-172). : Engebook (ISBN:9789898927446)
- Burden, R. e Faires, J. (2026). Numerical analysis.. (pp. 1-912). Boston, USA: Cengage eBooks (ISBN: ISBN: 9780357705315)
- Heinz, S. (2014). Mathematical modelling. (pp. 1-460). New York, USA: Springer-verlag berlin and heidelbe (ISBN: 9783642203107)
Teaching Method
Theoretical-practical lessons focused on the use of Matlab and supported by interactive class debates.
Software used in class
Matlab
