Nanotechnologies

Objectives and outcomes The aim of the course is to acquire basic knowledge of nanotechnology, nanotubes and graphene structures. Acquiring knowledge about the basic types of interaction of charged particles with carbon nanotubes and graphene … Read more

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Advanced signal processing techniques

Periodogramsandcorrelograms. Non-parametricspectralanalysis. Methods ofbanksof filters. Parametric methodsfor linespectra. Rationalspectral methods. Spatialmethods. Processing ofsequences.MUSICalgorithm. Shape Recognition. Practicalapplication.

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Combinatorics

Objectives and Outcomes Students are able to think abstractly and acquire a basic knowledge in the field of classical and modern combinatorics. Students have the knowledge of counting, they know the elements of combinatorial constructions, … Read more

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Combinatorial optimisation

Objectives and outcomes The aim of the course is to familiarise students with the most important combinatorial optimisation problems and methods for solving them. Ability to characterise optimal solutions and find efficient algorithms for optimisation … Read more

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Cryptography and cryptanalysis

Entropy and information theory. The complexity of algorithms and complexity classes. Classic encryption systems. Modern encryption systems. Symmetric and asymmetric encryption systems. One-way functions. Hash functions. The problem of number factorization. Discrete logarithm problem. Cryptanalysis … Read more

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Linear and integer programming

Linear programming (simplex method, duality theory, sensitivity analysis, interior point methods, decomposition method), the theory of polyhedra (definition and dimension of polyhedra, the description of polyhedra using section, a description of polyhedra using points and … Read more

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Mathematical modeling of semiconductor components

Physics of semiconductors. Semiconductor crystals. Approximations of the mean velocity and the effective mass of the electron. Semi conduction statistics. Classic kinetic transport models. Liouville equation. Wallace equation. Boltzmann equation. The quantum kinetic transport models. … Read more

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Photonics

Optical amplifiers. Erbium doped amplifiers. Fiber Raman amplifiers. Passive nanophotonics. Si Raman lasers, Si/III-V hybrid lasers and modulators. Silicon/NL-organic hybrid components. Moore’s Lawfor integrated photonics. The behavior of metal sat microwave and optical frequencies. Plasm … Read more

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Functional genomics and genetic chips

The methods use dinthe system and integrative biology with the aim of understanding normal and disease states (e.g., cancer, diabetes, etc.). Analysis of the genome functions as an important step to wards finding new molecules … Read more

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