TeSP - Tecnologia e Programação em Sistemas de Informação
5 ECTS; 1º Ano, 1º Semestre, 60,0 TP

Lecturer
- Maria Cristina Oliveira da Costa

Prerequisites

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: three written tests.
Exam assessment: one written test.

Bibliography
- Armstrong, B. (2002). , Solving problems in finite mathematics and calculus, ,. London: Pearson Education
- Ziegler, M. (2011). College Algebra with Trigonometry. New York: McGraw-Hill
- Kolman, B. (2006). Introdução à Álgebra Linear com Aplicações. São Paulo: LTC
- Larson, R. (2006). Cálculo. (Vol. 1). São Paulo: McGraw-Hill

Method of interaction
Lectures supported by debates and case analysis.

Software used in class