Mathematical Analysis III

Civil Engineering
5 ECTS; 2º Ano, 1º Semestre, 30,0 T + 30,0 TP

Lecturer
- Luís Miguel Merca Fernandes
- Maria Cristina Oliveira da Costa

Prerequisites

Objectives
a)Students should be provided with basic and more advanced knowledge of mathematical methods used in different civil engineering problems.
b)They should be able to apply appropriate analytical and numerical methods to solve differential and integral equations.

Program
1. Iterative Methods for Linear Systems of Equations;
2. Numerical Methods for Systems of Nonlinear Equations and Nonlinear Equations;
3. Polynomial Interpolation;
4. Numerical Defferentiation and Integration;
5. Vector calculus;
6. Line integrals;
7. Surface Integrals

Evaluation Methodology
Continuous assessment: two written tests.
Exam assessment: one written test.

Bibliography
- Zill, D. (2008). A First Course in Differential Equations. EUA: Brooks Cole
- Pina, H. (1995). Métodos Numéricos. Portugal: Mc Graw-Hill
- Anton, H. (2000). Cálculo, um novo horizonte. (Vol. 2). São Paulo: Bookman
- Silva, J. (1994). Princípios de Análise Matemática Aplicada. Lisboa: Mc Graw-Hill

Method of interaction
Theoretical lectures, with presentation and illustration of the proposed subjects. Theoretical-practical lectures in which exercises are proposed and solved.

Software used in class