Mathematical Analysis I

Civil Engineering
6 ECTS; 1º Ano, 1º Semestre, 30,0 T + 30,0 TP + 15,0 OT

Lecturer

Prerequisites
Not applicable.

Objectives
a)- To provide the basic concepts and mathematical methods usually used in this engineering programme.
b)- To provide students with skills to work with differential and integral calculus in functions of one real variable.

Program
1- Preliminaries.
2- Real functions of a real variable.
3- Limits and continuity.
4- Differential calculus.
5- Integral calculus.

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

Bibliography
- Silva, J. (1999). Princípios de Análise Matemática Aplicada. (Vol. 1). (pp. 1-472). Lisboa: McGraw-Hill
- Stewart, J. (2005). Cálculo. (Vol. 1). (pp. 1-684). São Paulo: Thomson Pioneira
- Swokowsi, E. (1995). Cálculo com Geometria Analítica. (Vol. 1). (pp. 1-744). São Paulo: Makron Books
- Howard, A. (2007). Cálculo um novo horizonte. (Vol. 1). (pp. 1-581). São Paulo: Bookman

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