**TeSP - Tecnologia e Programação em Sistemas de Informação**

5 ECTS; 1º Ano, 1º Semestre, 60,0 TP

**Lecturer**

- Maria Cristina Oliveira da Costa

**Prerequisites**

Not applicable.

**Objectives**

The objectives of this curricular unit are the acquisition and consolidation of some fundamental knowledge about:

a) matrix calculation,

b) propositional logic,

c) trigonometry,

d) vector calculus,

e) complex numbers

g) real functions of real variable

**Program**

1. Matrix Calculation

1.1. General notions

1.2. Matrix operations

1.3. Application of matrices to the resolution of systems of linear equations - Gauss elimination method

2. Introduction to propositional logic

2.1. Propositions and Logical Operators on Propositions

2.2. Truth Tables

2.3. De Morgan's Laws

3. Trigonometry

3.1. Trigonometric relationships

3.2. Arcs and angles. The trigonometric circle

3.3. Trigonometric formulas

4. Introdução ao cálculo vetorial

4.1. Segmentos orientados

4.2. Norma, direção e sentido

4.3. Vetores e operações elementares com vetores

5. Complex numbers

5.1. Algebraic form and trigonometric form. Complex numbers as vectors

5.2. Operations with complex numbers

6. Real functions of real variable

6.1. Generalities about real functions of real variable

6.2. Algebraic functions

6.3. Transcendent functions

**Evaluation Methodology**

Continuous assessment:

The continuous assessment consists of three written tests. The first two are classified from 0 to 7 values and the third is classified from 0 to 6 values. The student is passed by frequency if he obtains a grade of 10 or more, resulting from the sum of the 3 tests.

Examination assessment:

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

**Bibliography**

- Larson, R. (2006). *Cálculo*. (Vol. 1). São Paulo: McGraw-Hill

- Kolman, B. (2006). *Introdução à Álgebra Linear com Aplicações*. São Paulo: LTC

- Ziegler, M. (2011). *College Algebra with Trigonometry*. New York: McGraw-Hill

- Armstrong, B. (2002). *, Solving problems in finite mathematics and calculus, ,*. London: Pearson Education

**Method of interaction**

Lectures supported by debates and case analysis.

**Software used in class**

Not applicable.