# Mathematical Analysis II

**Civil Engineering**

6 ECTS; 1º Ano, 2º 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 degree programme.

b) To provide students with the skills to work with differential and integral calculus in functions of several real variables.

**Program**

1- Numerical and Functions Series.

2- Real functions of several real variables.

3- Multiple Integrals.

**Evaluation Methodology**

The continuous assessment consists of three written tests. The first is rated from 0 to 6 values and following two tests are rated from 0 to 7 values. The student is passed by frequency if he obtains a grade of 10 or more, resulting from the sum of the three tests and at least 2 values on each test.

Exam assessment: Written test classified from 0 to 20 values. The student is approved if he obtains a classification higher or equal to 10 values.

For any of the evaluations, if the student obtains a classification of 15 or higher, he should be subject to an extraordinary assessment.

**Bibliography**

- Silva, J. (1999). *Princípios de Análise Matemática Aplicada*. (Vol. 1). (pp. 1-472). Lisboa: McGraw-Hill

- Swokowsi, E. (1995). *Cálculo com Geometria Analítica*. (Vol. 2). (pp. 1-744). São Paulo: Makron Books

- Zill, D. e Cullen, M. (2009). *Advanced Engineering Mathematics*. (Vol. 1). (pp. 1-1008). Sudbury: Jones & Bartlett Publishers

- Jerónimo, M. e Azenha, A. (1995). *Cálculo Diferencial e Integral em R e Rn*. (Vol. 1). (pp. 1-610). Lisboa: Mac Graw-Hill

- Stewart, J. (2013). *Cálculo *. São Paulo: São Paulo: Cengage Learning

**Method of interaction**

Lectures and tutorials

**Software used in class**

Not applicable.