Applied Algebra

Code:

M3001

Acronym:

M3001

Level:

300

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2019/2020 - 1S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Official Study Plan	3	-	6	56	162
L:CC	1	Plano de estudos a partir de 2014	2	-	6	56	162
			3
L:F	5	Official Study Plan	2	-	6	56	162
			3
L:G	0	study plan from 2017/18	2	-	6	56	162
			3
L:M	35	Official Study Plan	2	-	6	56	162
			3
L:Q	0	study plan from 2016/17	3	-	6	56	162

Teaching language

Portuguese

Objectives

The main goal of this course is to review and learn cconcepts in algebra and apply them in three mathematical areas: theory of codes, theory of designs and theory of graphs.

Learning outcomes and competences

As well as gaining a wider and more solid ground in algebra, at the end of the course, the student will have seen other areas of mathematics, mainly in combinatorics, and more precisely in theory of codes, theory of designs and theory of graphs.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Linear algebra and Group Theory

Program

The topics (to be fulfilled as the course evolves) to be seen will be within: 

1) Theory of codes

2) Theory of designs

3) Theory of graphs. 

In each of those three parts, the needed algebraic tools will be developed

Mandatory literature

Oliver Pretzel; Error-correcting codes and finite fields. ISBN: 0-19-859678-2
Jacobus H. van Lint; Coding theory. ISBN: 3-540-06363-3
Oliver Pretzel; Error-correcting codes and finite fields. ISBN: 0-19-859678-2

Comments from the literature

The books are for additional reading (they are not not mandatory)

Teaching methods and learning activities

Teaching will consist of lectures on the blackboard as well as exercise sets

Evaluation Type

Evaluation with final exam

Assessment Components

designation	Weight (%)
Participação presencial	5,00
Exame	95,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	106,00
Frequência das aulas	56,00
Total:	162,00

Eligibility for exams

Attend the lectures

Calculation formula of final grade

0.95*(exam mark)+0.05*20