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Courses

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

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 primeiro semestre e 3 ECTS no segundo 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	M6005	M6005	Multivariate Statistical Analysis	6
Mathematics	M6072	M6072	Harmonic Analysis in Phase-space	6
Mathematics	M6081	M6081	Nondifferentialble Analysis	3
Mathematics	M6073	M6073	Clifford Analysis and Applications	6
Mathematics	M6012	M6012	Spatial data analysis	3
Mathematics	M6013	M6013	Longitudinal Data Analysis	3
Mathematics	M6057	M6057	Analysis and Control of Linear Systems	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	M6082	M6082	Classes of Operators	3
Mathematics	M6015	M6015	Data Clustering : Methods, Validation and Consensus	3
Mathematics	M6016	M6016	Complements of Applied Mathematical Analysis	3
Mathematics	M6046	M6046	Numerical Analysis I	3
Mathematics	M6047	M6047	Numerical Analysis II	3
Mathematics	M6017	M6017	Complementary Statistics	3
Mathematics	M6061	M6061	Complements od Control Theory	3
Mathematics	M6062	M6062	Nonlinear Control	3
Mathematics	M6063	M6063	Optimal Control	3
Mathematics	M6059	M6059	Calculus of Variations	3
Mathematics	M6060	M6060	Codes and Systems	3
Mathematics	M6031	M6031	Biological Dynamics	6
Mathematics	M6095	M6095	Elements of Semigroup Theory	3
Mathematics	M6083	M6083	Differential Equations	3
Mathematics	M6032	M6032	Differential equations with symmetry	6
Mathematics	M6064	M6064	Dynamic Equations on Time Scales	3
Mathematics	M6084	M6084	Integral Equations and their Generalizations	3
Mathematics	M6074	M6074	Partial Differential Equations	6
Mathematics	M6018	M6018	Statistics Applied to Clinical Trials	3
Mathematics	M6007	M6007	Bayesian Statistics	6
Mathematics	M6008	M6008	Statistical Genomics	6
Mathematics	M6019	M6019	Order Statistics and Applications	3
Mathematics	M6020	M6020	Data Stream Mining	3
Mathematics	M6021	M6021	Filtering of stochastic systems	3
Mathematics	M6075	M6075	Frames and Sparse Representations of Signals	6
Mathematics	M6096	M6096	Fundamental aspects of finite semigroup theory	3
Mathematics	M6035	M6035	Combinatorial Geometry	3
Mathematics	M6036	M6036	Lorentzian Geometry	3
Mathematics	M6037	M6037	Riemannian Geometry	3
Mathematics	M6066	M6066	System Identification	3
Mathematics	M6065	M6065	System Identification and Predictive Control	3
Mathematics	M6085	M6085	Variational and quasi-variational inequalities	3
Mathematics	M6086	M6086	Introduction to Symbolic Dynamics	3
Mathematics	M6038	M6038	Geometrical Mechanics	3
Mathematics	M6024	M6024	Generalized Linear Models	3
Mathematics	M6023	M6023	Stochastic Dynamics models: simulation and estimation	3
Mathematics	M6033	M6033	Advanced Methods in Relativity Theory	6
Mathematics	M6048	M6048	Computational Methods in Coastal Hydrodynamics	3
Mathematics	M6050	M6050	Numerical Spectral Methods I	3
Mathematics	M6051	M6051	Numerical Spectral Methods II	3
Mathematics	M6022	M6022	Statistical Methods in Epidemiology	3
Mathematics	M6039	M6039	Advanced Geometrical Methods of Physics	3
Mathematics	M6052	M6052	Numerical Methods for Differential Equations	3
Mathematics	M6087	M6087	Methods of the Theory of Operators in Boundary Value Problems	3
Mathematics	M6049	M6049	Finite Element Methods for Dispersive Wave Equations	3
Mathematics	M6067	M6067	Evolutionary search methods applied to engineering problems	3
Mathematics	M6076	M6076	Riemann-Hilbert method for Orthogonal Polynomials	6
Mathematics	M6025	M6025	Nonparametric Inference	3
Mathematics	M6055	M6055	Strategic optimization in Economy	6
Mathematics	M6054	M6054	Optimization and Network Design	6
Mathematics	M6077	M6077	Inverse Problems	6
Mathematics	M6009	M6009	Signal Processing and Time Series Analysis	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	M6040	M6040	Mathematical Relativity	3
Mathematics	M6097	M6097	Lattices and Ordered Algebraic Structures	3
Mathematics	M6101	M6101	Seminar	9	Yes
Mathematics	M6069	M6069	Behavioral Systems	3
Mathematics	M6010	M6010	Stochastic Systems	6
Mathematics	M6070	M6070	Hybrid Systems	3
Mathematics	M6027	M6027	Discrete Event Systems	3
Mathematics	M6056	M6056	Decision Support Systems	6
Mathematics	M6088	M6088	Algebraic Theory of Orthogonal Polynomials and Applications	3
Mathematics	M6078	M6078	Kinetic Theory I	6
Mathematics	M6089	M6089	Kinetic Theory II	3
Mathematics	M6098	M6098	Algebraic theory of generalized inverses	3
Mathematics	M6034	M6034	Bifurcation Theory	6
Mathematics	M6071	M6071	Optimisation Theory	3
Mathematics	M6041	M6041	Singularity Theory I	3
Mathematics	M6042	M6042	Singularity Theory II	3
Mathematics	M6092	M6092	Type Theory	6
Mathematics	M6079	M6079	Theory of Function Spaces	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	M6099	M6099	Topics of Transformation Semigroups Theory	3
Mathematics	M6080	M6080	Topics of Harmonic Analysis	6
Mathematics	M6053	M6053	Topics in Numerical Analysis	3
Mathematics	M6043	M6043	Topics of Differential Geometry	3
Mathematics	M6100	M6100	Topics of Semigroups and Languages	3
Mathematics	M6011	M6011	Topics in Time Series Analysis	6
Mathematics	M6090	M6090	Topics on Approximation Theory	3
Mathematics	M6091	M6091	Topics in Turbulence	3
Mathematics	M6028	M6028	Topics in Statistical Genetics	3
Mathematics	M6045	M6045	Numerical Linear Algebra	6
Mathematics	M6094	M6094	Euclidian Jordan Algebras and Graphs	3

Any 3rd cycle scientific area

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Courses

Doctor's Degree in Applied Mathematics

Official Study Plan

Specialised Modules in Mathematics and Applications A

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)

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

Type of Classification: OFICIAL

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