Instance: 2018/2019 - 1S
Cycles of Study/Courses
Teaching Staff - Responsibilities
Teaching - Hours
|Theoretical and practical :
Suitable for English-speaking students
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.
The program follows the book by Lidl and Pilz "Applied Abstract Algebra"
§02 Distributive lattices
§03 Boolean Algebras
§04 Boolean Polynomials
§05 Minimal forms of polynomials (Quine-McCluskey algorithm)
§06 Applications to logic, switching circuits, topology and probability spaces
§07 Rings and polynomials
§09 Finite Fields
§10 Irreducible polynomials
§11 Fatorization of polynomials over finite fields
§12 Linear Coding theory
Lidl Rudolf; Applied abstract algebra
. ISBN: 978-1-4419-3117-7 (we will use the 2nd edition of this book.)
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.
Physical sciences > Mathematics > Algebra
Distributed evaluation without final exam
Amount of time allocated to each course unit
|Frequência das aulas
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.