Publication in the Diário da República: Aviso nº 909/2016 - 27/01/2016
5 ECTS; 1º Ano, 1º Semestre, 60,0 TP , Cód. 60241.
Lecturer
- Maria Cristina Oliveira da Costa (2)
(1) Docente Responsável
(2) Docente que lecciona
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
- Kolman, B. (2006). Introdução à Álgebra Linear com Aplicações. São Paulo: LTC
- Larson, R. (2006). Cálculo. (Vol. 1). São Paulo: McGraw-Hill
- Ziegler, M. (2011). College Algebra with Trigonometry. New York: McGraw-Hill
Teaching Method
Lectures supported by debates and case analysis.
Software used in class
