5 ECTS; 2º Ano, 1º Semestre, 30,0 T + 30,0 TP , Cód. 908913.
Lecturer
- Luís Miguel Merca Fernandes (2)
- Maria Cristina Oliveira da Costa (2)
(1) Docente Responsável
(2) Docente que lecciona
Prerequisites
Mathematical Analysis I
Mathematical Analysis II
Linear Algebra
Objectives
Students should be provided with basic and more advanced knowledge of mathematical methods used in different civil engineering problems.
They should be able to apply appropriate analytical and numerical methods to solve differential and integral equations.
Program
1.1 Line integrals; 1.2 Surface Integrals; 2.1 First order Differential equations; 2.2 Differential equations of order greater than one; 3.1 Numerical methods for non-linear equations; 3.2 Polynomial Interpolation 3.3 Numeric Integration; 3.4 Numerical methods for solving initial value problems.
Evaluation Methodology
Written tests(intermediate assessment:2 written tests;exam assessment:1 global written test).
Bibliography
- Anton, H. (2000). Cálculo, um novo horizonte. (Vol. 2). São Paulo: Bookman
- Pina, H. (1995). Métodos Numéricos. Portugal: Mc Graw-Hill
- Silva, J. (1994). Princípios de Análise Matemática Aplicada. Lisboa: Mc Graw-Hill
- Zill, D. (2008). A First Course in Differential Equations. EUA: Brooks Cole
Teaching Method
Lectures making use of illustrative examples and case studies.
Tutorials involving problem solving.
Software used in class
