M4062 - ECTS

To acquire knowledge on stochastic signals digital analysis

M4060 - ECTS

It is expected that at the end of the course the students will attain knowledge on:

a)     a) data collection

b)    b)  most used statistical models in the context of Science and Engineering, 

           including its application with the free software R/SPSS

c)     c) the choice of the statistical model given different contexts

d)     d) the interpretation of the results obtained by the application of the learnt methods.

M4042 - ECTS

The aim of this curricular unit is to study some of the models, techniques and algorithms more frequently used in other áreas of knowledge. Each technique should be used for resolution of problems arising in other sciences and for establishing mathematical models for such problems. 

M4043 - ECTS

This course aims to give an overview of the various methods of mathematical modeling in Systems Biology.

The systems approach to biology is a new methodological paradigm that transformed research in biology in the 21st century. The key idea is that we can study the interactions of all components of a biological system to reveal their emergent properties. Recently won a new impact, mainly due to the remarkable progress of experimental and computational methods (Bioinformatics), ever more ingenious and powerful. It is supported accumulated in biological knowledge, more detailed, the creation of new experimental techniques in genomics and proteomics, new technologies to make extensive measurements DNA sequence, expression and regulation of genes, protein-protein interactions, modeling tradition math biological processes and the exponential growth of Bioinformatics (as a prerequisite for the construction of huge databases and analysis of large-scale systems).

Biology has become increasingly multidisciplinary with biologists, computer scientists, engineers, mathematicians, physicists and doctors, to join efforts to develop high-efficiency technologies and computational and mathematical tools, guided by current needs of biology and medicine.

M4045 - ECTS

The course aims to introduce n aa rigorous the optimization theory (linear and nonlinear), variational calculus and theory of control. The fundamental concepts of these areas are addressed, as well as the most important mathematical tools for its analysis.

 

M4064 - ECTS

Introduction to stochastic processes.Tools for the analysis of stochastic processes and its applications in several areas, such as signal processing, information theory, finance and economics, biology and medicine. Special attention to the understanding of the concepts and methods and to its application in interdisciplinary areas using simulated and real data.

M4081 - ECTS

Upon successful completion of this course, the student will:

• Know most of the classical examples of error correcting codes;
• Reproduce key results of the theory and give rigorous and detailed proofs of them.
• Construct new codes from old ones and examine their basic properties.
• Apply the basic techniques, results and concepts of the course to concrete examples and exercises.

CC4019 - ECTS

The aim of of information theory is to expose fundamental concepts related to information and its applications in systems and communications networks and computer science.

M4059 - ECTS To introduce the fundamental concepts and principles of risk theory.
To provide a fundamental knowledge of the commonly used stochastic models and techniques in non-life insurance mathematics.

CC4015 - ECTS

Provide the student experience in the use, administration and programming of some of the systems / applications currently used in the Windows environment. The particular focus is on the programming environment of Visual Basic for Applications.

M4031 - ECTS

The course presents the main concepts and techniques of digital image processing and analysis. The main goal is that in the end of the course the students will be able to plan and implement algorithms for information extraction from images.

The course orientation focus on the understanding of concepts and methods, and its effective use in synthetic and experimental data analysis. The course makes an extensive use of advance computational tools (MATLAB).

M4076 - ECTS

It is intended that the students learn the paradigm of computational simulation based on Monte Carlo methods, namely MCMC, as well as the principles of numerical linear algebra, in a framework of critical application as well as their application in interdisciplinary areas involving the social, life or computational sciences.

CC4024 - ECTS

Identification and application of data mining techniques to extract knowledge from different data sources (e.g. text, web).

M4038 - ECTS

This course is intended for students to acquire basic knowledge of the theory and numerical treatment of partial differential equations. 

M4056 - ECTS

The main objective of the course is to introduce rigorously the main concepts of Mathematical Finance in discrete and continuous time. Those concepts and the relevant mathematical tools to their analysis will be considered in the course.

M4068 - ECTS

The students will be provided with the basic tools for studying transport phenomena of mass, energy and linear momemtum in several continuous media.

CC4020 - ECTS To improve background on techniques for designing algorithms and analysing their correctness and complexity.
To know and apply methods for finding exact and approximate solutions for hard problems.

M5009 - ECTS The objectives are defined by each supervisor and the  student enrolled in the Master's dissertation.

M5007 - ECTS The internship aims to develop the
students' ability to meet the real world
challenges and to promote their professional integration in a wide range of companies.

M4082 - ECTS The students must become familiar with the research and selection of  scientific and technical references and their use to understand how relevant problems have been solved, their impact on the scientific and technological progress, and the primordial role of Mathematics within the solution of real life issues.