Module Subject

The issues of the module:

1. Hungary : location and physical geography
2. Hungary : people, demography
3. The Hungarians. National minorities in the Carpathian-Basin
4. The Roma (Gipsy) population of Hungary
5. Religions in the Carpathian-Basin
6. Traditions and gastronomy in Hungary
7. Regionalism in Hungary . Regions I.
8. Regions II.

Module Subject

The issues of the module:

1. The population and demography of Hungary
2. The structure of the population
3. Ethnic and religious differences in the Carpathian-Basin
4. Development of the settlement-system in Hungary
5. Towns of Hungary
6. Urbanization, urban agglomerations in Hungary
7. Villages in Hungary
8. Scattered settlements in Hungary
9. Regional differences in the settlement-network

Module Subject

The issues of the module:

1. Institutional and legal background of the Hungarian tourism
2. The history of tour operation in Hungary
3. Tourism policy in Hungary
4. Regional development and tourism
5. Regional differences in Hungarian tourism
6. Tourism marketing activity
7. Tendences the domestic tourism in Hungary especially the processes after 1990
8. Hungary 's incoming (international) tourism
9. The role of tourism in the hard city competition
10. Regional and local tourism planning, making tourism conceptions (case studies)

Module Subject

Fragestellungen: Was für eine Herausforderung bedeutete und bedeutet heute die Regionalität in den beigetretenen - früher sozalistischen - Ländern.
Im Kurs wird besonders ausführlich darauf eingegangen, was für neue Formen der Kooperation in den Grenzregionen Ungarn-Serbien, Ungarn-Rumänien entstanden sind. Szeged wird als Zentrum der Region und als Tor zum Balkan vorgestellt.
Thematik:
a) In Zentrum-Position am Rande des Landes (Szeged)
b) Gesellschaftliche und Kooperationen in den asymmetrischen Grenzgebieten: ungarisch-serbisch-rumänische Perspektiven.
c) Wirtschaftliche Entwicklungslinien in den regionalen Kooperationen des Donau-Mieresch-Theiß-Gebietes

Module Subject

The issues of the module:

1. The general introduction of Vojvodina
2. The population of Vojvodina
3. The structure of settlement-system in Vojvodina
4. The economy and agriculture of Vojvodina
5. Transport, telecommunication and services in Vojvodina
6. Tourism  and cultural industry in Vojvodina
7. Regional differences in Vojvodina
8. The perspectives of regional development

Module Subject

1. Geographical situation of the Carpathian Basin
2. Geology and the most important natural resources
3. Climate, soils, biogeoraphy
4. Rivers, lakes, thermal waters
5. Geographical and geomorphological regions
6. Environmental change and human impact during the late Quaternary Project:
7. Compare two geographical regions, with special respect to the human activity.
8. Give a description of a National Park, focusing on the conflict between park and the neighbouring lands (land use, waste, disturbances etc.)

1. To point on the facts, that

• the river regulations altered the river regime differently on different rivers
• the rivers reached different equilibrium stages and they responded in different ways

2. To teach the students how to evaluate and present hydrological data

Module Subject

1. Development of the drainage network of the Great Plain since the Pleistocene, with special respect to Holocene changes
2. Review of regulation works (main ideas, facts, consequences)
3. Evaluation of hydrological parameters (stage, discharge, bed geometry, slope etc.)
4. Evaluation of morphological changes on the floodplain (horizontal and vertical river bed changes, island and bar formation, land slides on the banks, point bar formation)
5. Flood hazard estimation in a certain area

Module Subject

Urban ecology:

1. Effects of urban land-use on physical geographical parameters (soil, climate, ground water)
2. Urban land use and urban ecological mapping
3. Application of databases and digital images in urban ecological investigations

Landscape planning:

1. Urban planning
2. Green surface management
3. Protection against soil erosion caused by wind and running water
4. Geomorphology of agriculture
5. Environmental impact assessment of investments (motorways, land-use changes, irrigation etc.)

Applied geomorphology:

• Monitoring geomorphological change, geomorphological mapping
• Floodplains and flooding
• River regulations
• Geomorphological assessments of slope failure

Module Subject

1. Main factors of landscape changes and the significance of human impact
2. Sources of reconstruction in different time periods: available material, methods and problems
3. Historical elements in the present Hungarian landscape: „objects” and prevailing structures
4. Land exploitation and landscape management strategies in historical times: an overview
5. Historical landscapes of historical Hungary in given time layers: Roman Times, Middle Ages, Turkish Period, Eighteenth-Ninteenth Centuries
6. Main landscape changes of
1. plain&wetland landscapes and former hydrology (before regulation works)
2. hilly and forested landscapes in central position
3. the mountaineous regions
4. historical urban landscapes

Module Subject

Module Subject

• Overview: What operating systems are, what they do, and how they are designed and constructed. What the common features of an operating system are, what an operating system does for the user, and what it does for the computer-system operator and processes.
• Process management: The process concept and concurrency as the heart of modern operating systems. A process is the unit of work in a system. Such a system consists of a collection of concurrently executing processes, some of which are operating-system processes  Also included under this topic a discussion of threads.
• Memory management: The main memory management during the execution of a process. To improve both the utilization of the CPU and the speed of its response to its users. There are many different memory-management schemes, reflecting various approaches to memory management, and the effectiveness of a particular algorithm depends on the situation.
• I/O and Resource management: How the file system, mass storage, and I/O are handled in a modern computer system.
• Protection and security: The processes in an operating system must be protected from one another's activities. Protection is a mechanism for controlling the access of programs, processes, or users to the resources defined by a computer system.

Module Subject

• Systems of linear equations. Gaussion elimination, the triangular decomposation of a matrix. The Gauss-Jordan elimination, partial pivot selection. The Cholesky de composition. The QR decomposition of a matrix.
• Eigenvalue problems. Gershgorin circles. The Schur normal form of a matrix. The LR and QR algorithms.
• Iterative methods for the solution of a system of linear equations. The Jacobi method, the Gauss-Seidel method. Relaxation methods. The classical Newton-Raphson method.
• Interpolation by polynomials. The interpolation formulas of Lagrange and Newton, divided differences. Hermite interpolation.
• Least squares problems, the normal equations. Discrete Fourier transform and fast Fourier transform.
• Numerical integration. Newton-Cotes quadrature formulas. Classical systems of orthogonal polynomials. Gauss quadrature formulas.

Module Subject

• Basic concepts of probablity, Kolmogorov’s axioms for probability fields, Poicaré formula, classical and geometrical probability fields, conditional probability, stochastic independence, Bayes formula, product fields.
• Random variables and their distributions, density functions. random vectors and their multivariable distributions resp. density functions, independence of random variables, expectations of random variables and their functions, Schwarz inequality, variance , and standard deviance, Markov’s inequality, Chebishev’s inequality, covariance and correlation coefficient.
• Distributions of Bernoulli type, distributions of binomial-, polynomial-,hypergeometric-, geometric- ,negative binomial-, Poisson-, normal-, uniform-,exponential-,Chi-square-,Student- and F types.
• Borel-Cantelli lemmas, stochastic and slmost sure convergence for sequences of random variables, laws of large numbers, central limit theorem, de Moivre-Laplace theorem.