Seminar

Code:

M5006

Acronym:

M5006

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2021/2022 - 1S

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

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
M:M	5	Plano Oficial do ano letivo 2021	2	-	3	21	81

Teaching language

Portuguese

Objectives

To foster students' autonomous work as well as critical thinking and familiarity with scientific research.

Learning outcomes and competences

Ability to synthesize and understand the main apects and propelling ideas behind the results instead of loosing time and effort in the detailed understanding of all the technical steps.

Ability to prepare the structure of a presentation and to
be able to transmit the main ideas of a research work in mathematics.

Working method

Presencial

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

Algebra, Topology and Differentiable Manifolds lectured in the 1st year of the Master in Mathematics

Program

Presentation, critical analysis and discussion of scientific works.

The topics covered focus on some topics of category theory and complements of Algebra and 
General Topology that are important tools 
for the courses of Algebraic Topology and 
Algebraic Geometry also lectured in the 1st semester of the second year of the Master in Mathematics

Some topics  covered may depend on the interests of the 
students, the interests of teachers and researchers participating in the Seminar.

 

Mandatory literature

Norman E. Steenrod, Paul R. Halmos; How to write Mathematics, AMS, 1973
Donald Binder and Martin Erickson; A Student's Guide to the study, practice and tools of modern mathematics, CRC Press, 2011
Carlos Menezes; Apontamentos para o Seminário-2021-2022 a serem disponibilizados ao longo do semestre

Complementary Bibliography

Saunders Mac Lane; Categories for the working mathematician. ISBN: 0-387-98403-8
Joseph J. Rotman; An introduction to algebraic topology. ISBN: 0-387-96678-1
Edwin H. Spanier; Algebraic topology
James R. Munkres; Topology. ISBN: 0-13-925495-1
James R. Munkres; Elements of algebraic topology. ISBN: 0-201-04586-9
William S. Massey; Algebraic Topology, an Introduction, Springer, 1966. ISBN: 0-387-90271-6 (Available in the FCUP Library)

Comments from the literature

To be determined, according to the scientific interests of the students.

Teaching methods and learning activities

Stimulus to the reading and search of alternative sources for the understanding of the contents. Presentation and discussion of the proposed subjects.

keywords

Physical sciences > Mathematics

Evaluation Type

Distributed evaluation without final exam

Assessment Components

designation	Weight (%)
Participação presencial	20,00
Apresentação/discussão de um trabalho científico	40,00
Trabalho escrito	40,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Apresentação/discussão de um trabalho científico	20,00
Estudo autónomo	20,00
Frequência das aulas	21,00
Trabalho escrito	20,00
Total:	81,00

Eligibility for exams

Não aplicável.

Calculation formula of final grade

Formula Evaluation: The students will be evaluated for the written report and, most of all, for the corresponding oral presentation. The weights addressed to each of the above components are:

Oral presentation and discussion of a scientific work-40%
Written project - 40%
Oral participation - 20%