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Ano Letivo: 2023/24

Informática e Tecnologias Multimédia

Discrete Mathematics

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Publication in the Diário da República: Despacho n.º 9184/2020 - 25/09/2020

6 ECTS; 1º Ano, 1º Semestre, 28,0 T + 28,0 TP + 5,0 OT , Cód. 81432.

Lecturer
- Maria Isabel Vaz Pitacas (1)(2)

(1) Docente Responsável
(2) Docente que lecciona

Prerequisites
Prior knowledge of Mathematics at secondary school level

Objectives
Basics of logic with a view to eliminate reasoning errors. Based on Logic, Boolean Algebra will enable students to deal with the language used in electronic circuits. Students will be familiarised with the intuitive set theory.

Program
1. Logic
2. Boolean Algebra
3. Set theory
4. Binary relations
5. Introduction to graph theory

Evaluation Methodology
Assessment
-Midterm:2 written tests (0/20 grade points). Final mark: 0.5PE1+0.5PE2. Exam exemption: over 6 grade points in each midterm test and minimum mark of 10/20.
-Final:Exam(written test: minimum mark 10/20)

Bibliography
- Biggs, N. (2005). Discrete Mathematics. Oxford: Oxford University Press
- Cardoso, D. e Rostami, M. (2009). Matemática Discreta. Lisboa: Escolar Editora
- Lipschutz, S. e Lipson, M. (1997). Matemática Discreta. Bookman: Colecção Schaum
- Penner, R. (1999). Discrete Mathematics: Proof Techniques and Mathematical Structures. UK: World Scientific Publishing Company.
- Pitacas, I. (2018). Matemática Discreta - Apontamentos Teóricos. Abrantes: ESTA
- Rosen, K. (2009). Matemática Discreta e suas Aplicações. McGrawHill: McGrawHill

Teaching Method
Lectures supported by case studies and practical exercises. Tutorials.

Software used in class

 

 

 


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