Applied Algebra

Code:

M3001

Acronym:

M3001

Level:

300

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2018/2019 - 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	0	Plano de estudos a partir de 2014	2	-	6	56	162
			3
L:F	0	Official Study Plan	2	-	6	56	162
			3
L:G	0	study plan from 2017/18	3	-	6	56	162
L:M	40	Official Study Plan	2	-	6	56	162
			3
L:Q	0	study plan from 2016/17	3	-	6	56	162

Teaching language

Suitable for English-speaking students

Objectives

The aim of this course is to show some of the applications of abstract algebra, e.g. applications of the theory of groups, rings and fields.

Learning outcomes and competences

It is expected that students learn that some of abstract concepts of algebra have applications within the field of natural sciences.

Working method

Presencial

Program

Mandatory literature

Lidl Rudolf; Applied abstract algebra. ISBN: 978-1-4419-3117-7 (we will use the 2nd edition of this book.)

Complementary Bibliography

S.Givant and P.Halmos; Introduction to Boolean Algebras, Springer, 2009. ISBN: 978-0-387-40293-2
Lidl Rudolf; Finite fields. ISBN: 0-521-30240-4

Teaching methods and learning activities

The theoretical classes will explain the theory illustrated by  examples. The example classes will serve to solve excercises.

Software

http://www.sagemath.org/
http://www.python.org

keywords

Physical sciences > Mathematics > Algebra

Evaluation Type

Distributed evaluation without final exam

Assessment Components

designation	Weight (%)
Teste	100,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	112,00
Frequência das aulas	50,00
Total:	162,00

Eligibility for exams

There are no rules concerning the attendance frequency.

Calculation formula of final grade

1. During the regular time ("época normal") the final grade is obtained by the sum of the grades of two quizzes ("testes"):

Quiz 1: in the first quiz, which will take place during class time and which is still to be scheduled, students can obtain up to 10 points. A student who does not obtain 2 points will automatically obtain a "failed" in the first exam period.

Teste 2: in the second quiz, which will take place in January, students can obtain up to 10 points. A student who does not obtain 2 points will automatically obtain a "failed" in the first exam period.

The final grade is the sum of the scores obtained in both quizzes or "failed" in case one of the scores is below 2 points.

2. The make-up exam consists of only one exam which contains two parts corresponding to Quiz 1 + 2. Students have to have at least 2 points in each of the parts.

Examinations or Special Assignments

Two quizzes and one makeup exam.