Doctor's Degree in Applied Mathematics

Official Study Plan

Academic year:
Comments:	The cycle of studies consists of: i) A curricular component consisting of an organised set of curricular units corresponding to 60 ECTS. Upon completion, it will confer a doctorate course (does not grant a degree) in Applied Mathematics; ii)	The cycle of studies consists of: i) A curricular component consisting of an organised set of curricular units corresponding to 60 ECTS. Upon completion, it will confer a doctorate course (does not grant a degree) in Applied Mathematics; ii) An original thesis of a scientific nature especially carried out for this purpose, corresponding to 180 of the total 240 ECTS of the cycle of studies, approved by public defence. The successful completion of the cycle of studies grants the Doctor's Degree in Applied Mathematics.

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1st Year

1st Semester
Code	Acronym	Name	Obs.	Credits
M6101	M6101	Seminar		9
		Specialised Modules in Mathematics and Applications A	(1)
		Specialised Modules in Mathematics and Applications B (Probability and Statistics, Dynamics and Geometry, Numerical Analysis & Computational Methods, Control and Optimization, Analysis, Algebra, Logic and Computation)	(2)

2nd Semester
Code	Acronym	Name	Obs.	Credits
M6029	M6029	Research Project in Mathematics		21
		Specialised Modules in Mathematics and Applications A	(1)
		Any course from UM / UP / UA (3rd cycle level)	(3)
		Specialised Modules in Mathematics and Applications B (Probability and Statistics, Dynamics and Geometry, Numerical Analysis & Computational Methods, Control and Optimization, Analysis, Algebra, Logic and Computation)	(2)

No Period
Code	Acronym	Name		Obs.	Credits
		Specialised Modules in Mathematics and Applications B (Probability and Statistics, Dynamics and Geometry, Numerical Analysis & Computational Methods, Control and Optimization, Analysis, Algebra, Logic and Computation)		(2)

Comments:

(1) O Estudante tem que realizar duas UC's de entre o elenco previsto.
(2) O estudante deve realizar 9 ECTS no 1º semestre e 3 ECTS no 2º semestre.
(3) A frequência destas ucs optativas fica sujeita a prévia autorização da Comissão Científica do ciclo de estudos.

2nd Year

Yearly
Code	Acronym	Name		Obs.	Credits
M7000	M7000	Thesis			180

3rd Year

Yearly
Code	Acronym	Name		Obs.	Credits
M7000	M7000	Thesis			180

4th Year

Yearly
Code	Acronym	Name		Obs.	Credits
M7000	M7000	Thesis			180

Type of Classification: OFICIAL

Course units belonging to the academic fields defined in the active curricular structure(s) in the current academic year

Mathematics

Keyword	Code	Acronym	Name	Credits	Mandatory
Mathematics	M6030	M6030	Climate change and energy	6
Mathematics	M6004	M6004	Sampling and Statistical Quality Control	6
Mathematics	M6102	M6102	Análise Multivariada e Aprendizagem Estatística	6
Mathematics	M6081	M6081	Nondifferentialble Analysis	3
Mathematics	M6012	M6012	Spatial data analysis	3
Mathematics	M6013	M6013	Longitudinal Data Analysis	3
Mathematics	M6014	M6014	Image Processing and Analysis	3
Mathematics	M6058	M6058	Billiards, problems of optimal resistance and optimal mass transportation	3
Mathematics	M6006	M6006	Biostatistics	6
Mathematics	M6111	M6111	Controlo de Sistemas Dinâmicos Não-Lineares	6
Mathematics	M6112	M6112	Controlo de Sistemas Incertos e Estruturados	6
Mathematics	M6113	M6113	Controlo de Sistemas Lineares	6
Mathematics	M6059	M6059	Calculus of Variations	3
Mathematics	M6060	M6060	Codes and Systems	3
Mathematics	M6031	M6031	Biological Dynamics	6
Mathematics	M6083	M6083	Differential Equations	3
Mathematics	M6133	M6133	Differential equations with symmetry	6
Mathematics	M6084	M6084	Integral Equations and their Generalizations	3
Mathematics	M6074	M6074	Partial Differential Equations	6
Mathematics	M6105	M6105	Estatística Bayesiana	3
Mathematics	M6008	M6008	Statistical Genomics	6
Mathematics	M6106	M6106	Estatísticas de Ordem e Aplicações	3
Mathematics	M6020	M6020	Data Stream Mining	3
Mathematics	M6035	M6035	Combinatorial Geometry	3
Mathematics	M6085	M6085	Variational and quasi-variational inequalities	3
Mathematics	M6024	M6024	Generalized Linear Models	3
Mathematics	M6107	M6107	Métodos Avançados em Relatividade Geral	6
Mathematics	M6109	M6109	Métodos Espetrais Numéricos	6
Mathematics	M6022	M6022	Statistical Methods in Epidemiology	3
Mathematics	M6055	M6055	Strategic optimization in Economy	6
Mathematics	M6054	M6054	Optimization and Network Design	6
Mathematics	M6114	M6114	Otimização, Controlo e Estimação Dinâmicas	6
Mathematics	M6132	M6132	Orthogonal Polynomials and Applications	6
Mathematics	M6077	M6077	Inverse Problems	6
Mathematics	M6103	M6103	Processamento de Sinal e Séries Temporais	6
Mathematics	M6068	M6068	Integer Linear Programming	3
Mathematics	M6029	M6029	Research Project in Mathematics	21	Yes
Mathematics	M6026	M6026	Logistic Regression and Survival Analysis	3
Mathematics	M6097	M6097	Lattices and Ordered Algebraic Structures	3
Mathematics	M6101	M6101	Seminar	9	Yes
Mathematics	M6110	M6110	Sistemas Complexos	3
Mathematics	M6115	M6115	Sistemas Discretos e Híbridos	6
Mathematics	M6104	M6104	Sistemas Estocásticos e Aplicações	6
Mathematics	M6098	M6098	Algebraic theory of generalized inverses	3
Mathematics	M6034	M6034	Bifurcation Theory	6
Mathematics	M6071	M6071	Optimisation Theory	3
Mathematics	M6108	M6108	Teoria de Singularidades	6
Mathematics	M6092	M6092	Type Theory	6
Mathematics	M6093	M6093	Galois Theories	6
Mathematics	M7000	M7000	Thesis	180	Yes
Mathematics	M6044	M6044	Algebraic Topology	3
Mathematics	M6000	M6000	Advanced Topics in Analysis and Optimization	6
Mathematics	M6002	M6002	Advanced Topics in Dynamics and Geometry	6
Mathematics	M6001	M6001	Advanced Topics in Probability and Statistics	6
Mathematics	M6003	M6003	Advanced Topics in Algebra, Logic and Computation	6
Mathematics	M6080	M6080	Topics of Harmonic Analysis	6
Mathematics	M6053	M6053	Topics in Numerical Analysis	3
Mathematics	M6117	M6117	Topics of Semigroups and Languages	6
Mathematics	M6116	M6116	Tópicos de Teoria Cinética	6
Mathematics	M6090	M6090	Topics on Approximation Theory	3
Mathematics	M6091	M6091	Topics in Turbulence	3
Mathematics	M6045	M6045	Numerical Linear Algebra	6

Any 3rd cycle scientific area

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Doctor's Degree in Applied Mathematics

Official Study Plan

Specialised Modules in Mathematics and Applications A

Any course from UM / UP / UA (3rd cycle level)

Specialised Modules in Mathematics and Applications B (Probability and Statistics, Dynamics and Geometry, Numerical Analysis & Computational Methods, Control and Optimization, Analysis, Algebra, Logic and Computation)

Type of Classification: OFICIAL

Course units belonging to the academic fields defined in the active curricular structure(s) in the current academic year