# Mathematics II

**Information and Communication Technologies**

4.5 ECTS; 1º Ano, 2º Semestre, 30,0 T + 30,0 TP

**Lecturer**

- Maria Helena Morgado Monteiro

**Prerequisites**

Not applicable.

**Objectives**

The students should be able to interpret data, to formulate and to solve problems connected with the differential (a) and integral (b) calculus of one-variable functions of a single variable and series of a function (c).

**Program**

1.Real functions;

2.R-Differential calculus: derivatives, differentials, extremes, optimization problems;

3.R-Integral calculus - indefinite integral, definite integral and its applications;

4.Series - series of numbers and series of functions.

**Evaluation Methodology**

Mid-term assessment: three tests (0 to 20 points with a minimum mark of 5);

Final assessment: written exam (0 to 20 grade points).

Minimum pass grade:10/20.

**Bibliography**

- Stewart, J. (2002). *Cálculo*. (Vol. 1). São Paulo: Pioneira Thomson Learning

- Hostetler, R. e Edwards, B. e Larson, R. (2006). *Cálculo*. (Vol. I). São Paulo: McGraw-Hill

- Monteiro, H. (2017). *Apontamentos de Matemática II*. Abrantes: ESTA

**Method of interaction**

Lectures and tutorials including worksheets solved in class under the lecturer's supervision.

**Software used in class**

Not applicable.