### Topologia - Matemática - Sem Ramos - Especialidades

7.5
ECTS / Credit Units
 Year: 3 / 1º Semestre Plan: 2015/16 Scientific Area: MAT Level: Intermédio

 Theorical: 48.00 Theorical-Pratical: 32.00 Pratical and Laboratorial: Fieldwork: Seminar: Internship: Tutorial:
 Assigned Internship Hours: Assigned Projects Hours: Assigned Fieldwork Hours: Assigned Study Hours: Assigned Evaluation Hours: Others:

### Degree having this Course

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

### Teaching Staff

Maribel Gomes Gonçalves Gordon

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

## Course Information

### Course Objectivs

1 Stimulate and develop thinking skills, rigor, deduction and abstraction.

2 Introduce the study of General Topology, so that the student can generalize the abstract spaces the usual topological concepts (continuity, sequences, convergence, compactness, connectedness, etc.) and the fundamental theorems introduced in previous courses in finite dimensional spaces.

3 To familiarize students with the evidence of results and require the knowledge of them.

### Evaluation Criteria

Classification Type: Quantitative (0-20)
Evaluation Model: A
Evaluation Methodology: Held two frequencies (tests) to solve individually during the regular season. Thus, the student may evaluate their performance and change strategies if necessary. In the season to appeal, students can recover the note from one of the frequencies or, alternatively, the complete exam, ie, they can recover the whole subject. The importance of this examination, beyond the objectives of evaluation focuses on students' ability to relate different parts of matter.

### Main Bibliography

P. Alexandroff (1984). Topologie. Springer.
N. Bourbaki (1990). Topologie Générale. Masson.
C. Gustave (1966). Topology. Academic Press.
C. Michael (1990). Elementary Topology. Dover.
J. Kelley (1975). General Topology. Springer.
L. Loura Curso de Topologia Geral. J. Munkres (1975). Topology: a first course. Prentice-Hall.
L. Schwartz (1971). Topologie Générale et Analyse Fonctionnelle. Hermann.