Master's degree in
Cybersecurity
Why study this master?
Pre-enrolment

MOTIVATION



The goal of the master in Cybersecurity is to provide graduates solid knowledge in the design, implementation and management of the security in nowadays infrastructures and communications.

This master’s degree has a high professional orientation providing fundamental skills in the cybersecurity field that include: the analysis of systems’ risks and vulnerabilities, the prevention of cyber-attacks and threats, detection and efficient response to cyber-attacks, the fulfilment of existent regulations in the area of data protection, and the design of security and privacy architectures.

The master encompass the needs for two different types of students. Those who will develop a professional career, and those who will undertake doctoral studies.

PROFESSIONAL OPPORTUNITIES AND COMPETENCIES

In the last years the number of organizations that are protecting themselves against cyber-attacks are growing exponentially. Nowadays, private and public organizations search security experts, but there isn’t enough professionals to meet the total demand. The European Union estimates that 825.000 professionals experts in cybersecurity will be required in the year 2025. On the other hand, the Official Annual(2019/2020) Cybersecurity Jobs Report that estimates a 350 percent growth in open cybersecurity positions from 2013 to 2021.

Security and Digital forensic analyst.

Ethical hacker.

Security operations center (SOC) specialist.

Chief security officer (CSO).

COURSES



The master’s degree in Cybersecurity comprises 60 ECTS credits and is taught entirely in English. The basic structure is the following:

  • 30 ECTS credits for compulsory subjects, organized in 3 main areas: data security, infrastructure security and software security.
  • 18 ECTS credits for elective subjects and in advanced and crosscutting cybersecurity themes.
  • 12 ECTS credits for the master’s thesis.

img02



ADMISSION

Duration and start date

One academic years, 60 ECTS credits.

Starting September.

Fees and Grants

Approximate fees for the master’s degree, excluding degree certificate fee, €3,267 (€4,901 for non-EU residents).

More information about fees and payment options.

More information about grants and loans.

Timetable and delivery

Face-to-face.

Language of instruction

English.

Location

Student Profile

English Level B2 is required for admission to the master’s degree and must be demonstrated when you enrol.


The following are recommended entrance qualifications for the master’s degree:

  • Bachelor’s degree in Telecommunications Science and Technology.
  • A bachelor’s degree that qualifies the holder for professional practice as a technical telecommunications engineer.
  • Bachelor’s degree in Audiovisual Systems Engineering.
  • Bachelor’s degree in Electronic Systems Engineering.
  • Bachelor’s degree in Telecommunications Systems Engineering.
  • Bachelor’s degree in Network Engineering.
  • Bachelor’s degree in Electronic Engineering and Telecommunications
  • Bachelor’s degree in Informatics Engineering.
  • Pre-EHEA degree in Telecommunications Engineering.
  • Pre-EHEA degree in Informatics Engineering.

Exceptionally, applicants with other degrees may be admitted.

The academic committee of the master’s degree reviews these cases and may admit these applicants on the condition that they take bridging courses in addition to the 60 credits for the master’s degree.

Selection Criteria

The Academic Committee is in charge of the admission decisions of the candidates. The criteria are: Academic Information (50%), Background and professional experience (40%) and Motivation (10%).

The criteria details follow:

Academic Information:

  • Final average grade for the undergraduate degree that provides access to the master's degree.
  • Ranking of the university issuing the previous degree, using the most common rankings (e.g. ARWU, QS World University, etc.).
  • Academic performance on the previous degree.

Academic Information:

  • Suitability of the candidate's previous degree. Holders of bachelor's degrees in disciplines in the field of Computer Science or Telecommunications Science and Technology will be given preference.
  • Experience in innovation and research projects.

Motivation:

  • Candidate's resume and motivation letter.
Pre-enrolment

ACADEMIC INFORMATION


All the information regarding timetables and the academic school calendar can be found on the institutional page of Barcelona School of Telecommunications Engineering (ETSETB) and Barcelona School of Informatics (FIB)



Academic Calendar

The Academic year consists in 2 semesters, for a more detailed information check the following link

Timetables

Depending on the subjects chosen they can be on mornings or afternoons. For a more detailed information check the following link

Master Degree Timetables

Contact Us

Academic coordination: Eva Rodríguez Luna

Contact mail: masters.etsetb@upc.edu

The master in Cybersecurity is offered at the
Barcelona School of Telecommunications Engineering (ETSETB) and Barcelona School of Informatics (FIB),
both members of Universitat Politècnica de Catalunya - BarcelonaTech (UPC).

Syllabus

  1. Critical phenomena
    • Mean Field
    • Scaling and renormalization group
    • Kinetic Ising models
    • Continuum models
    • Growth Models
    • Percolation
  2. Dynamical Systems
    • Flows and maps
    • Normal Forms
    • Stability; Bifurcations
    • Intermittency; Chaos
    • Pattern formation
  3. Stochastic Processes
    • Markov processes
    • Master equations
    • Stochastic differential equations
    • Fokker-Planck equations
    • Relaxation and First-passage times
  4. Introduction to complex networks
    • Small-world networks
    • Scale-free networks
    • Characterization of networks

Syllabus

  1. Approximate methods in Quantum Mechanics.
    • Description of the problem. Mathematical formulation.
    • Solution of the problem using variational methods. Time-independent perturbation theory approach.
  2. Introduction to Scattering theory in Quantum Mechanics.
    • Formulation of the problem, differential cross section and Lipmann-Schwinger equation. T-matrix, Born approximation and partial wave expansions. Low-energy scattering.
  3. The many-body problem in Quantum Mechanics.
    • Bose and Fermi statistics, wave functions and simmetries.
    • Second quantization: creation and anihilation operators. Operators and observables in second quantization.
    • Hartree-Fock approximation, Gross-Pitaevskii equation and the Bogoliubov approximation.
  4. Magnetic systems
    • Polarized and unpolarized free Systems.
    • Ferromagnetic states. Single-particle excitations and particle-hole pairs. Magnons. Superconductivity and Cooper pairs. Introduction to BCS theory.
  5. Lattice systems: Bose- and Fermi-Hubbapop-contentrd models.

Syllabus

  1. Physical Chemistry of surfaces
    • Introduction to surfaces
    • Structure of surfaces
    • Solid-liquid and solid-gas interphases
    • Characterization techniques
    • Applications in sensors and catalysis
    • Functionalization of nano- and microreactors
  2. Mechanics and Fluid mechanics at micron scale
    • Introduction to micromechanic and microfluidic behavior.
    • Biosensor structure
    • Design and simulation of the biosensor fluidic behavior
    • Design and simulation of the biosensor mechanic behavior
    • Case studies in bioengineering and comunications.
  3. MEMS microdevices applied to communication circuits
    • Introduction to MEMS micro-devices. Materials and structures.
    • Ohmic- and capacitive-contact micro-switches.
    • MEMS micro-switch electromagnetic simulation
    • Application of MEMS micro-switches to reconfigurable communication circuits.
    • Circuit simulation.
    • Experimental characterization of MEMS micro-switches.

Syllabus

  1. Sources of Synchrotron and neutron radiation.
    • Continuous and pulsed sources.
  2. Safety in large facilities.
  3. Design of main devices in Sinchrotron and neutron sources:
    • focusing of photons and neutrons
    • dispersion and detection
  4. Design and use of special sample environments:
    • High pressure
    • high and low temperature
    • magnetic fields.
  5. Experimenal techniques available in large facilities.
    • Complementarity between experimental techniques
  6. Generation, storage and analysis of large facilities:
    • Experimental data

Syllabus

  1. Project planning.
  2. Planning methods based on critical path.
  3. Precedence analysis, PERT and GANTT chart.
  4. Time and cost estimation.
  5. Risk identification and mitigation plans.
  6. Stakeholders communication management.
  7. Project execution management: earned value.
  8. Project closure: success criteria and lessons learned.

Syllabus

  1. Basics of condensed matter
    • Microscopic constituents and effective interactions; condensed phases: normal and supercritical fluids, crystals, glasses, mesophases; classification and examples of transitions (first order, continuous, glassy); van der Waals theory and isomorphic states; miscibility and binary systems
    • Molecular disorder and dynamics; linear response theory, dielectric and mechanical spectroscopy, other experimental methods (thermodynamic and optical probes, scattering)
  2. Single-component systems
    • Small-molecule condensed phases; crystallization kinetics & polymorphism; structural glasses, ultrastable & aged glasses; orientationally disordered solids & plastic crystals; primary & secondary relaxations; charge conduction in molecular solids and liquids
    • Amorphous & semicrystalline linear homopolymers; ideal chain statistics and entanglement effects, entropic forces, Rouse modes and reptation; viscoelasticity, glass transition, and crystallization of linear polymers; branched polymers, gelation and rubber elasticity, affine network model for elastomers; conjugated and conductive polymers
    • Thermotropic liquid crystals (nematic, smectic, columnar) and liquid crystal polymers; optical properties and applications
  3. Multicomponent and aqueous systems
    • Polymer solutions: non-ideal chains, theta-solutions, hydrogels, swelling phenomena; superhydrophobic/hydrophilic, superolephobic, superamphiphilic, and self-healing polymer coatings; biopolymers, helix-coil and coil-globule transitions
    • Self-assembly in condensed matter: specific and non-specific interactions; block copolymers; colloidal systems (glasses, crystals, gels), surfactant-water systems, biomembranes, lyotropic liquid crystals, emulsions; semiflexible polymers & cytoskeleton

Syllabus

  1. Introduction: the hydrogen atom
  2. Interaction between atoms and external fields (static and oscillatory)
  3. Fine and hyperfine structure. Selection rules
  4. Symmetries of the wave function
  5. Many-electron atoms. Thomas-Fermi model, and Hartree-Fock method
  6. Understanding the periodic table of elements
  7. Molecular structure and degrees of freedom
  8. Advanced spectroscopic techniques: infra-red, Raman, and nuclear magnetic resonance
  9. Laser cooling, manipulation and detection of ultracold dilute quantum gases

Syllabus

  1. Mechanical properties of materials
    • Elasticity and related properties
    • Non-linear mechanical properties
    • Thermal expansion and isothermal compressibility
  2. Dielectric and optical properties of materials
    • Polarization and polarization mechanisms
    • Ferroelectricity
    • Pyroelectricity
    • Piezoelectricity
    • Dielectric response to variable frequency electric fields
    • Optical response of materials
  3. Magnetic properties of materials
    • Diamagnetism
    • Paramagnetism
    • Ferromagnetism
    • Other types of magnetism: ferrimagnetism, antiferromagnetism and non-collinear ferromagnetism
  4. Ferroic and multiferroic materials
    • Ferroic transitions
    • Multiferroic coupling: Magnetoelasticity and magnetoelectricity
    • Applications

Syllabus

  1. Biological networks
    • Examples in systems biology (metabolic networks, interactome, regulatory and signalling networks)
    • Biological neural networks
    • Networks in ecology and epidemiology
  2. Complex spatio-temporal dynamics in biology
    • Oscillations, excitability, bistability
    • Synchronization in biological systems: neural networks
    • Spatio-temporal chaos: cardiac fibrillation
  3. Complex biosignal analysis
    • Deterministic and stochastic signals
    • Statistical properties
    • Nonlinear time series analysis
  4. Self-organization in biological systems
    • Morphogenesis
    • Self-assembly (protein folding, membrane formation)
    • Growth processes (chemotaxis, tumour growth)
  5. Collective motion and active matter
    • Flocking, swarming and herd behaviour
    • Cell migration

Syllabus

  1. Introduction to Machine Learning
    • Fundamental problem of Machine Learning
    • Description of the inherent complexity of the problem
    • General approximations to the solution.
  2. Classical models of Neural Networks
    • Hopfield model
    • Recurrent Boltzmann Machines (BM) and Restricted Boltzmann Machines (RBM)
    • Learning with BM and RBM: gradient descent, Contrastive Divergence and variations
    • Single-layer Perceptrons (SLP): lineal regression, logistic regression, Rosenblat perceptron
    • Multi-layer Perceptrons (MLP)
    • Learning with MLP: Back-propagation
    • Convolutional Neural Networks (CNN): model, link with MLP and learning
  3. Deep Learning: link with classical models and modern learning techniques

Syllabus

  1. Introducción. Métodos de discretización del continuo: diferencias finitas, elementos y volúmenes finitos, métodos espectrales y métodos sin malla o de partículas
  2. Formulaciones débiles, variacionales, de Galerkin, de Petrov-Galerkin, de colocación, etc. de diferentes problemas de la Física (Termodinámica, Elasticidad, Mecánica de Fluidos, Electromagnetismo, Mecánica Cuántica, etc.)
  3. El método de los elementos finitos. Aproximación lagrangiana a trozos. Tipología de elementos finitos. Elementos nodales y modales. Elementos isoparamétricos. Errores de interpolación y convergencias h, p i hp
  4. Implementación del método de elementos finitos. Mallado de dominios. Ensamblaje de matrices. Fórmulas de cuadratura. Estimación del error de las soluciones. Ejemplos de aplicación en Matlab/Octave o Python
  5. Complementos de álgebra lineal numérica. Almacenamiento matricial. Técnicas para sistemas lineales y problemas de valores propios para problemas de dimensión elevada.
  6. Librerías de elementos finitos. Introducción a FeniCS-Python
  7. Integración temporal. Métodos de semi-discretización, de líneas, de splitting, etc. Dificutades en problemas de tipo advección-diffusión
  8. Introducción a los métodos de volúmenes finitos y de Galerkin discontinuos. Aplicaciones
  9. Métodos de orden alto. Elementos espectrales. Integración temporal de orden alto.

Syllabus

  1. Monte Carlo integration: distribution functions and their sampling. Crude Monte Carlo and rejection methods. Improving efficiency: variance reduction methods. Multidimensional integrals and Metropolis sampling.
  2. Monte Carlo methods for the study of many-particle systems: discrete systems (Ising), continuous systems in different statistical collectivities. Finite-size scaling. Advanced Monte Carlo methods.
  3. Stochastic optimization: simulated annealing and genetic algorithms.
  4. Dynamic Monte Carlo: randowm walks and the diffusion equation. Fokker-Planck and Langevin methods. Brownian dynamics.
  5. Application of Monte Carlo methods to quantum systems. Wave functions for bosons and fermions. Variational Monte Carlo. Diffusion Monte Carlo. Path integral Monte Carlo for the study at finite temperature.

Syllabus

  1. Finite difference methods applied to stellar evolution
    • Finite difference approximations
    • Von Neumann stability criterion
    • Initial values and boundary conditions
    • Explicit vs. Implicit methods
    • Lagrangian and Eulerian formalisms
    • Nuclear reaction networks. Adaptive networks
    • Relativistic hydrodynamics
  2. Smoothed-Particle Hydrodynamics
    • Fluid dynamics interpolation schemes
    • Eulerian SPH equations
    • Variable resolution in space and time
    • Lagrangian SPH equations
    • Applications of the Eulerian equations
    • Heat conduction and mass diffusion
    • Viscosity
    • Application to shocks and rarefaction problems
    • Astrophysical applications
    • Other applications
    • SPH in special and general relativity
    • Future developments
  3. Astrophysical applications of Monte Carlo and classification methods
    • Overview of basic concepts
    • Simple applications of the Monte Carlo methods
    • Classification methods: data analysis
    • Examples of classification