Seminar

Code:

M511

Acronym:

M511

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2015/2016 - A

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

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
IUD-M	10	PE do Prog Inter-Univ Dout Mat	1	-	6	60	162

Teaching language

English

Objectives

The main goal is to give students the opportunity to have a first contact with research activity developed by PhD Program faculty. This is achieved by attending seminars delivered by teachers and researchers and also by giving talks in seminar sessions. The Seminar course aims to develop the following skills: knowledge of mathematical results; ability to formulate and solve problems; ability to communicate well and clearly, in speaking and writing. On the personal level it also allows to develop self-learning, research and communication skills.

Learning outcomes and competences

It is expected that the work of the student, when properly guided and supervised, will prepare him/her better for the application of his/her knowledge in the future, when working on the PhD thesis.

Working method

Presencial

Program

The program will be established by the Seminar course advisers, chosen according to the students' theses' projects.

The topics of the seminar course must be appropriate for a doctoral course of a Mathematical PhD program, guiding the students to their theses' plans.

Mandatory literature

Hirsch Morris W.; Differential equations, dynamical systems, and introduction to chaos. ISBN: 0-12-349703-5
Lane Saunders Mac; Categories for the working mathematician. ISBN: 0-387-90036-5
Basar Tamer; Dynamic noncooperative game theory. ISBN: 0-89871-429-X
Gill Philip E.; Numerical linear algebra and optimization. ISBN: 0-201-12649-4
DeVore Ronald A., ed. lit. 340; Foundations of computational mathematics. ISBN: 0-521-00349-0
Steinberg Benjamin; Representation theory of finite groups. ISBN: 9781461407751
Ribenboim Paulo; 13 lectures on Fermat.s last theorem. ISBN: 0-387-90432-8

Comments from the literature

Martín Escardó e Reinhold Heckman. On topologies for general function spaces.
M.A.D. Aguiar, S.B.S.D. Castro (2010) Chaotic switching in a two-person game. Physica D 239, 1598-1609.

S. Yakubovich. Integral and series transformations via Ramanujan’s identities
and Salem’s type equivalences to the Riemann hypothesis. Integral Transforms and Special Functions 25, No. 4 (2014) 255 - 271.

Ngoc-Diep Ho. Nonnegative matrix factorization algorithms and applications.
PhD Thesis- Université Catholique de Louvain / École Polytechnique de Louvain.

M. Brin, G. Stuck. Introduction to dynamical systems. Cambridge University Press, 2002.

Clifford S. Queen. A simple characterization of principal ideal domains. Acta Arithmetica LXIV.2 (1993).

Andrej Bauer, Lars Birkedal, Dana S. Scott. Equilogical Spaces.
A chemo-electro-mechanical mathematical model for simulation of pH sensitive hydrogels. Sudipto K. De., N.R. Aluru.

Teaching methods and learning activities

A seminar topic and a list of references will be given. The work of the student will consist of reading, studying, discussing and presenting the topic, under the regular guidance of the Seminar adviser who guides him/her to his/her thesis' plan.

Type of evaluation: Via seminars.

Formula Evaluation: The assessment has three possible outcomes: Approved (A), Not approved (R) and Not aproved for lacking of na evaluation component (RFC) .

keywords

Physical sciences > Mathematics

Evaluation Type

Distributed evaluation without final exam

Assessment Components

designation	Weight (%)
Prova oral	100,00
Total:	100,00

Eligibility for exams

Terms of frequency: No register of absences.

Calculation formula of final grade

Aproved/Not aproved