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Álgebra Computacional - Matemática - Sem Ramos - Especialidades


7.5
ECTS / Credit Units
Year: 2 / 2º Semestre
Plan: 2015/16
Scientific Area: MAT
Level: Intermédio

Semestral Hour Load

Theorical: 48.00
Theorical-Pratical: 32.00
Pratical and Laboratorial:
Fieldwork:
Seminar:
Internship:
Tutorial:

 

Assigned Internship Hours:
Assigned Projects Hours:
Assigned Fieldwork Hours:
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Degree having this Course

Degree - Branch Degree Plan Year
Matemática - Sem Ramos - Especialidades 2015/16

Teaching Staff

Jorge Nélio Marques Ferreira
Jorge Nélio Marques Ferreira


Responsibilities:
Regência
Responsável pelas Pautas
Ensino teórico
Ensino teórico-prático

Course Information

Course Objectivs

O1 To master fundamental concepts and results within the integers ring, the polynomial rings in a single variable and also in several variables.

O2 To identify points of similarity between the Integers ring and the polynomial rings in a single variable over a field.

O3 To gain theoretical and practical knowledge which form part of the basis of subjects like Commutative Algebra, Algebraic Geometry and Algebraic Number Theory.

O4 Knowledge of how to use a Computer Algebra System to construct examples and to solve problems.

O5 Acquisition of research, writing and communication skills.

Evaluation Criteria

Classification Type: Quantitative (0-20)
Evaluation Methodology: The lectures are used to introduce the concepts, results and methods to the student. Also, lecture notes will be provided by the teacher. In the tutorial classes, the student is expected to solve problems from the exercise sheets given by the teacher, individually or in a group. These classes will be held in computer room were the students will make use of a Computer Algebra System (e.g., SAGE) for problem solving. The evaluation will be done through the realization of two tests, both with a weight of 35% of the final grade, and a coursework, which is to be handed in the end of the semester and accounts for 30% of the final grade. The coursework should be written in the form of a scientific article and will be subject to an oral presentation.

Program Resume (get program detail)

Main Bibliography

Thomas W. Hungerford Algebra.. Springer Verlag.
R.L. Fernandes, M. Ricou (2004). Introdução à Álgebra. IST Press.
David Cox, John Little, Donal O'Shea (2006). Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commuta. Springer-Verlag.
Ian Stweart (1989). Galois Theory. Chapman and Hall.

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