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Mathematics

Title of Course Unit Algebra

Code NBT_MT101K3,

NBT_MT102G2

Department Institute of Mathematics and Informatics

Semester Spring Semester

Contact Hours Weekly/Total 2 lectures + 2 seminars, 30+30

Prerequisites An introductory course in algebra

ECTS Credits 3+2

Language English

Contact Person Dr. Tibor Juhász

Course Description Algebraic structures, factor structures,

homomorphism. Basic concepts of group theory,

normal subgroup, Lagrange’s theorem. Permutation

groups, Cayley’s theorem. Action of groups on sets.

Direct products, the fundamental theorem of the finite

Abelian groups.

Basic concepts of ring theory. Divisibility, prime

elements and unique prime factorization in domains.

Principal ideal rings, Euclidean domain. The field of

fractions of the integral domain. Field extension.

Finite fields and their applications, algebraic codes.

The applications of abstract algebra.

Readings T.Y. Lam: Exercises in Classical Ring Theory,

Springer Verlag, New York, 1995.

http://members.tripod.com/~dogschool/

Assessment Seminars: two written tests

Lecture: end-of-term oral exam

Title of Course Unit Geometry I

Code NBT_MT124K2, NBT_MT125G2


Semester Spring semester

Contact Hours Weekly/Total 2 lectures + 2 seminars), 30+30

Prerequisites Good command of English and basic knowledge of

college geometry and linear algebra.

ECTS Credits 3+2

Language English

Contact Person Dr. Miklós Hoffmann

Course Description The aim of the course is to give an overview of

Euclidean, affine and projective geometries based on

their transformation groups: motions, homotheties,

affinities, projective transformations.

Basic theorems and properties of these

transformations as well as applications in several

fields are also studied. The interactive geometry

software Cinderella is used in seminars to deepen our

geometric knowledge.

Readings Coxeter, H. S. M. Introduction to Geometry, 2nd ed.

New York: Wiley, 1989

Coxeter, H. S. M. and Greitzer, S. L. Geometry

Revisited. Washington, DC: Math. Assoc. Amer.,

1967.

Assessment Seminars: solving problems by elementary geometry

and by Cinderella


Title of Course Unit Number Theory I

Code NBT-MT148 K3,

NBT-MT149 G2



Contact Hours Weekly/Total 2+2 (lectures+seminars)/60

Prerequisites Good command of English and an introductory course

in algebra and number theory

ECTS Credits 3+2

Language English

Contact Person Dr. Ferenc Mátyás

Course Description The aim of the course is to study the following main

chapters of number theory: congruencies, algebraic

congruencies, arithmetical functions, prime numbers,

diophantine equations, diophantine approximations,

linear recurrences.

Readings Primary source: I. Niven & H. S. Zuckermann: An

Introduction to the Theory of Numbers, John Wiley

and Sons Inc., New York/London.

Secondary source: G. H. Hardy & E. M. Wright: An

Introduction to the Theory of Numbers, Clarendon

Press, Oxford.


Lecture: end-of-term oral exam.

Title of Course Unit Linear algebra I

Code NBT_MT136K3,

NBT_MT136G2


Semester Autumn semester

Contact Hours Weekly/Total 2+2 (lectures +seminars)/60

Prerequisites Good command of English and an introductory course

in algebra.

ECTS Credits 3+2

Language English


Course Description The aim of the course is to study the following main

chapters of linear algebra: vector space, subspaces,

factor space, direct sum, linear mappings,

transformations, determinants, algebra of matrixes,

system of linear equations, solvability.

Readings • Mirsky, Leonid: An introduction to linear algebra,

Oxford University Press, 1982.

• Hans Schneider and George Phillip Barker: Matrices

and linear algebra, Dover Publications, Inc., New

York, 1973.



Title of Course Unit Real Analysis I

Code NBT_MT104K3,

NBT_MT105G2,


Semester Autumn Semester


Prerequisites An introductory course in real analysis

ECTS Credits 3+2

Language English

Contact Person Dr. Kálmán Liptai

Course Description Real numbers. Topology on real numbers. Sequences

of real numbers, convergence. Weierstrass-Bolzano

theorem, Cauchy’s criterion for convergence.

Infinite series, convergence, divergence.

Continuous functions, limits of functions.

Power series, Elementary functions

Readings W. Rudin, Principles of mathematical analysis

Sterling K. Berberian, A First Course in Real Analysis



Title of Course Unit Real Analysis II

Code NBT_MT108K3,

NBT_MT109G2




Prerequisites An introductory course in real analysis

ECTS Credits 3+2

Language English


Course Description Differentiability, algebra of derivatives, chain rule.

Mean value theorems. Local max and min. Taylor

series.

Riemann integral. Riemann-integrable functions.

Indefinite integral. Newton-Leibniz-formula.

Applications of Riemann integral.

Readings W. Rudin, Principles of mathematical analysis

Sterling K. Berberian, A First Course in Real Analysis



Title of Course Unit Projective Geometry

Code NBT_MT155K3

NBT_MT156G2



Contact Hours Weekly/Total 2 lectures +2 seminars

Prerequisites Geometry

ECTS Credits 3+2

Language English

Contact Person Dr. Miklós Hoffmann

Course Description Historical overview and fundamentals of affine

geometry

Affine transformations

Axial affinity

Algebraic curves and surfaces in affine geometry

Fundamentals of projective geometry

Algebraic representation of projective geometry

General projective maps

Algebraic curves and surfaces in projective geometry

Projective metrics

Projective representation of conjugate relations,

diameters Fundamental theorems of projective

geometry

Degenerate affine and projective maps

Perspective drawing and reconstruction

Readings

Assessment Lecture: end-of-term oral exam

Title of Course Unit Cryptography

Code NBT_IM806K3



Contact Hours Weekly/Total 2 lectures

Prerequisites

ECTS Credits 3

Language English


Course Description 1 Terminology 2 History of cryptography and cryptanalysis

2.1 Classic cryptography 2.2 The computer era

3 Modern cryptography

3.1 Symmetric-key cryptography 3.2 Public-key cryptography 3.3 Cryptanalysis 3.4 Cryptographic primitives 3.5 Cryptosystems

4 Legal issues

4.1 Prohibitions 4.2 Export controls 4.3 NSA involvement 4.4 Digital rights management

Readings


http://en.wikipedia.org/wiki/Cryptography#Terminology

http://en.wikipedia.org/wiki/Cryptography#History_of_cryptography_and_cryptanalysis

http://en.wikipedia.org/wiki/Cryptography#Classic_cryptography

http://en.wikipedia.org/wiki/Cryptography#The_computer_era

http://en.wikipedia.org/wiki/Cryptography#Modern_cryptography

http://en.wikipedia.org/wiki/Cryptography#Symmetric-key_cryptography

http://en.wikipedia.org/wiki/Cryptography#Public-key_cryptography

http://en.wikipedia.org/wiki/Cryptography#Cryptanalysis

http://en.wikipedia.org/wiki/Cryptography#Cryptographic_primitives

http://en.wikipedia.org/wiki/Cryptography#Cryptosystems

http://en.wikipedia.org/wiki/Cryptography#Legal_issues

http://en.wikipedia.org/wiki/Cryptography#Prohibitions

http://en.wikipedia.org/wiki/Cryptography#Export_controls

http://en.wikipedia.org/wiki/Cryptography#NSA_involvement

http://en.wikipedia.org/wiki/Cryptography#Digital_rights_management

Title of Course Unit The history of mathematics through problems

Code NMT_MT123K2



Contact Hours Weekly/Total 2 lectures

Prerequisites

ECTS Credits 2

Language English


Course Description Prehistoric mathematics

Ancient Near East (Mesopotamia, Egypt)

Greek and Hellenistic mathematics

Chinese mathematics

Indian mathematics

Islamic mathematics

Roman and medieval European mathematics

Renaissance mathematics

Scientific revolution

Modern mathematics

Future of mathematics

Readings


http://en.wikipedia.org/wiki/History_of_mathematics#Prehistoric_mathematics

http://en.wikipedia.org/wiki/History_of_mathematics#Ancient_Near_East

http://en.wikipedia.org/wiki/History_of_mathematics#Greek_and_Hellenistic_mathematics

http://en.wikipedia.org/wiki/History_of_mathematics#Chinese_mathematics

http://en.wikipedia.org/wiki/History_of_mathematics#Indian_mathematics

http://en.wikipedia.org/wiki/History_of_mathematics#Islamic_mathematics

http://en.wikipedia.org/wiki/History_of_mathematics#Roman_and_medieval_European_mathematics

http://en.wikipedia.org/wiki/History_of_mathematics#Renaissance_mathematics

http://en.wikipedia.org/wiki/History_of_mathematics#Scientific_revolution

http://en.wikipedia.org/wiki/History_of_mathematics#Modern_mathematics

http://en.wikipedia.org/wiki/History_of_mathematics#Future_of_mathematics

Biológia Intézet részéről:

Magyar nyelvű kurzus:

A tanegysége neve: A Kárpát-medence emlősei (szabadon választható tanegység) Biológia Bsc szabadon választható kurzus

Kredit: 2 Félév: 2.-3. Óratípus: előadás, 2 óra/hét

Értékelés: kollokvium

Az oktatás nyelve: magyar Tantárgy leírása: Az emlősök általános jellemzése, taxonómiája. A hazai emlőstaxonok áttekintése. A Kárpát-medencében megtalálható emlősfajok életmódjának, előfordulásának, kutatásának ismertetése taxonómiai csoportok szerint (rovarevők, denevérek, rágcsálók, nyúlalakúak, ragadozók). A Kárpát-medence emlősfajainak természetvédelmi vonatkozásai.

Kötelező és ajánlott olvasmányok: BIHARI, Z., CSORBA, G. & HELTAI, M. (szerk.) 2007. Magyarország

emlőseinek atlasza. Kossuth Kiadó, Budapest.

Ujhelyi, P. 1994. A magyarországi vadonélő emlősállatok határozója. MMTE, Budapest

Tantárgyfelelős: dr. Estók Péter Oktatók: dr. Estók Péter

1.

Title of Course Unit Computational Neuroscience

Code

Host Department Department of Zoology

Semester 2011 - 2012 /2.

Contact Hours Weekly/Total 2 /14x2=28

Prerequisites

ECTS Credits 4

Language English

Contact Person Dr Károly Antal

Course Description Introduction to neural coding and dynamics. Convolution,

correlation, linear systems, signal detection theory, probability

theory. Hodgkin-Huxley models of neural excitability, cable theory,

and models of kinetic models of synaptic transmission.

Readings

Methods in Neuronal Modelling by Koch and Segev

Foundations of Cellular Neurophysiology by Daniel Johnston,

Samuel Miao-Sin Wu MIT Press

Assessment

test

2.

Title of Course Unit Neurobiology

Code


Semester 2011 - 2012 /1.

Contact Hours Weekly/Total 2 /14x2=28

Prerequisites

Cell biology

ECTS Credits 4

Language English

Contact Person Dr Zsuzsa Emri

Course Description

Introduction to the structure and function of the neurons, including

their ionic currents, receptor types, synapse structure, dendritic

architecture and neuronal wiring. Topics include synaptic

transmission, signal transduction in the nervous system, neuronal

mechanisms and organization underlying higher functions,

molecular basis of learning and memory.

Readings

Foundations of Cellular Neurophysiology by Daniel Johnston,

Samuel Miao-Sin Wu Bradford Books

Synaptic Organization of the Brain by Gordon M. Shepherd

Assessment

test

Title of Course Unit Conservation Biology

Code

Host Department Department of Botany

Semester 2011 - 2012 /4.-5.

Contact Hours Weekly/Total 2 /14x2=28 + field work 14X2=28

Prerequisites

ECTS Credits 4

Language English

Contact Person Dr Pénzesné Kónya, Erika

Course Description

Protection and sustaining biodiversity. Biodiversity hotspots.

Ecosystems services and social requirements. Protection of species

and habitats.

Organizations for conservation. Conservation Biology in Europe.

National Parks and Biosphere reserves. The structure and mission of

Natura 2000. Habitat loss and fragmentation. Genetical aspects of

conservation biology.

Readings

Primack, L (2010):The Essentials of Conservation Biology. p.538.

Dimas, S. 2010: The European Union’s Biodiversity Action Plan.

p.28.

Assessment

test

Title of Course Unit Plant Reproductive Ecology

Code

Host Department Department of Botany

Semester 2011 - 2012 /4.-5.

Contact Hours Weekly/Total 2 /14x2=28 + field work 14X2=28

Prerequisites

ECTS Credits 4

Language English

Contact Person Dr Pénzesné Kónya, Erika

Course Description

Sexual and asexual reproductive strategies of plants:

This course introduces students to the two main forms of plant

reproduction: sexual and asexual. Students will examine selected plants

and look for features associated with

sexual and asexual reproduction.

After completing the field lab, students will be able to:

1. Identify and describe the sexual reproductive mechanisms for various

plants.

2. Identify and describe asexual reproductive mechanisms for various

plants.

3. Identify and describe the advantages and disadvantages of each

approach as well as conditions that favor one over the other.

Readings

Jon and Lesley Lovett_Doust1990: Plant Reproductive Ecology:

Patterns and Strategies. p.360. Oxford University Presss, USA

Tom de Jong, Ted Klinkhamer (2005): Evolutionary Ecology of

Plant Reproductive Strategies. p.338. Universiteit Leiden

Assessment

test

a. Title of Course Unit Plant Physiology and

Biochemistry

Code

Host Department Plant Physiology

Semester 1/3/5 (autumn)

Contact Hours Weekly/Total 2/30

Prerequisites plant anatomy, general

biochemistry

ECTS Credits 4

Language English

Contact Person dr. Marianna Marschall

Course Description

The aim of this subject

to show the

biochemical processes

of plant metabolism in

the context of the

structure and function

of the plant. It details

the function of several

metabolic

compartments, the short

and the long distance

transports, the

molecular mechanism

of photosynthesis and

biological oxidation,

carbohydrate

metabolism, nitrate

assimilation, nitrogen

fixation, sulphate

assimilation, the roles

of secondary

metabolites. It contains

the functions and

biosynthesis of

phytohormones and

elicitor molecules, the

current models of

signal perception and

transductions,

senescence and

programmed cell death.

It also deals with the

plant responses under

abiotic and biotic stress,

stress syndrome,

constitutive and

inducible stress

tolerance mechanisms

at the cell and the

whole plant metabolism

levels.

Readings

Taiz L, Zeiger, E

(2006): Plant

Physiology. Sinauer

Associates, Inc,

Publishers

Buchanan BB,

Gruissem W, Jones R

(2000): Biochemistry

and molecular biology

of plants,

Agriculture/Productions

Vegetales

Heldt H-W (1997):

Plant Biochemistry and

Molecular Biology.

Oxford University

Press

Assessment

test

b. Title of Course Unit Plant Ecophysiology

and Techniques

Code

Host Department Plant Physiology

Semester 2/4/6 (spring)


Prerequisites plant anatomy, general

biochemistry

ECTS Credits 6

Language English

Contact Person dr. Marianna

Marschall

Course Description

The laboratory

practicals show the

use of

ecophysiological field

and laboratory

techniques in

diagnosing

environmental

changes and

biomonitoring

systems. It covers the

qualitative and

quantitative

determination of

photosynthetic

pigments by

spectrophotometry,

cromatography

techniques, the

application of infrared

gas analysis,

chlorophyll

fluorescence induction

and oxigen electrode

techniques in

measurement of

phyotosynthetic

activity and

respiration. It details

techniques are used

for characterization of

the water status of

plants such as water

potential, RWC and

stomatal conductance.

It also provides

knowledge on

quantitative

determination of

primary and secondary

products of plant

metabolism, key

enzymes of N- and

carbohydrate

metabolism.

Readings

Roger, MJR (ed)

(2001): Handbook of

Plant Physiology

Techniques, Kluwer

Academic Publishers,

Dordrecht

Hendry, GAF, Grime

JP (eds) (1993):

Methods in

Comparative Plant

Ecology, Chapman

Hall, London

Assessment

test

Title of Course Unit Basic mechanisms of epilepsy

Code


Semester 2011-2012/1

Contact Hours

Weekly/Total

2

Prerequisites

Comparative physiology2

ECTS Credits 4

Language English

Contact Person Dr Zsuzsa Emri

Course Description

The course focuses on experimental models of different epilepsy types,

and the strategies of treatment, and provide a summary about

experimental and theoretical works of this field.

Readings

Kandel: Principles of neuronal sciences.

Assessment

Presentation

Testnevelési és Sporttudományi Intézet

Title of Course Unit Aerobics

Code NBT_TN153G2

Department Institute of Physical Education and Sport Sciences

Semester 1 semester

Contact Hours Weekly/Total 2

Prerequisites

Basic knowledge of English

ECTS Credits 2

Language English

Mandatory/Elective Elective

Contact Person Vécseyné Kovách Magdolna - asst. lecturer

Course Description

Aerobic is a good tool to develop different

conditional skills, especially aerobic endurance

and strengths and to improve coordination.

The aim of the course is to give the theoretical and

practical knowledge of aerobic movements, type

of aerobics (basic aerobic, boxaerobic,

stepaerobic, etc.).

By the end of this course, the student will be able

to present aerobic lessons for different groups, to

use the basic aerobic movements in PE lessons

and in recreational sports.

Aerobic exercise refers to exercise which is of

relatively low intensity, undertaken for a long

duration. Aerobic means "with oxygen", and

refers to the use of oxygen in a muscle's energy-

generating process. Many types of exercise are

aerobic, and by definition are performed at

moderate levels of intensity for extended periods

http://en.wikipedia.org/wiki/Exercise

http://en.wikipedia.org/wiki/Oxygen

http://en.wikipedia.org/wiki/Muscle

http://en.wikipedia.org/wiki/Adenosine_triphosphate

of time.

Readings

Assessment

Type of class:

practice

Title of Course Unit Olympic Education

Code NBT_TE844G2

Department Institute of Physical Education and Sport Science,

Methodological Department

Semester 5


Prerequisites

-

ECTS Credits 2

Language English


Contact Person Bíró Melinda PhD candidate – college assistant

professor

Course Description

The aim of course is to study the origin, the

cultural and religious or ritual background of

the Olympic Games and to study the history of

establishing Olympic movement in modern ages

and now.

To introduce moral, aesthetic and multicultural

values and interesting features of the Olympic

games. To make students understand Olympic

thoughts and ideas.

Examination of the background of Olympics.

Examination of the work of the International

Olympic Movement, the International Olympic

Committee, The national Olympic committees, the

International Olympic Academy, the Hungarian

Olympic Academy, and the Lausanne Olympic

Museum. Possible areas of Olympic education.

Readings

1. Norbert Müller (1994) one Hundred Years

of Olympic Congress 1894-1994.

Lausanne

2. David Wallechensky (1996) Summer

Olympics, USA

3. Be a champion in life! (2000)A project of

the Foundation of Olympic and Sport

Education (FOSE)Athene, Greece

Assessment

Type of class:

lecture

Title of Course Unit Research Methods in Physical Education

Code NBT_TE739G2

Department Institute of Physical Education and Sport Sciences

Semester 2 semesters


Prerequisites

Good command of English

ECTS Credits 2

Language English


Contact Person Vécseyné Kovách Magdolna - asst. lecturer

Course Description

The aim of the course is to introduce students the

basic research techniques applied in physical

education and sport sciences. They get acquinted

with the most important concepts, types of

research, parts of the research process, basic

statistical and measurement concepts in research.

They will be able to search for literature in a given

topic and read and write scientific papers.

Readings

Jerry R. Thomas, Jack K. Nelson (1996) Research

Methods in Physical Activity, Human Kinetics

Assessment

Type of class:

lecture

Title of Course Unit Swimming and Water Sports 1.

Code NBT_TN151G2



Semester 2


Prerequisites

-

ECTS Credits 2

Language English

Mandatory/Elective Mondatory


professor

Course Description

The aim of the course is to study the origin, the cultural,

religious and educational background of swimming, as well

as its modern and latest history, and to know the process of

its transformation into a race sport. Up-to-date problems of

race swimming.

The aim is that students know about the positive impact of

swimming on human organs, its role in personality

development and in forming healthy life style. They should

have an overall view on preventive and rehabilitative role of

swimming. They should get acquainted with swimming as a

recreational activity.

The main aim is to show the students the racing events of

water sports, furthermore, to study the theory of race

organisation, execution so that they can apply their

knowledge in practice.

Theoretical and practical introduction with the basic

techniques of swimming. They study life saving, hygienic

knowledge in connection with swimming instruction on a

basic level, as well as rescuing from water, and self rescue.

Aim is to give information about prevention of water

accidents, about carrying swim, about approaching the

injured and to try to get free from a grab in practice. They

should know rescuing methods according to their swimming

skills.

Readings

1. Tóth, Á. (2006). The methodology of

teaching swimming. Budapest. pp.210.

2. Costill DL, Maglischo EW, Richardson

(1992) Swimming. Oxford.

Assessment

Type of class:

practice

Title of Course Unit Teaching methods of swimming

Code NMT_TN123 G2



Semester 1


Prerequisites -

ECTS Credits 2

Language English



professor

Course Description

The aim of the course is to study the methodology

of swimming as well as acclimatization of water.

Our aim is to show the students the peculiarities of

swimming and the adequate teaching methods.

The main aim is to show the students the

theoretical and practical point of teaching

swimming, and give introduction with the basic

techniques of different strokes. We also like that

they can apply their knowledge in practice.

Readings

Tóth, Á. (2006). The methodology of teaching

swimming. Budapest. pp.210.

Assessment

Type of class:

practice

Földrajz Tanszék

Title of Course Unit Bases of Spatial and Settlement Development

Code NBT_BL888_K4

Department Department of Geography

Semester Upon request either fall semester or spring semester

Contact Hours

Weekly/Total

2

Prerequisites Good command of English

ECTS Credits 2

Language English

Contact Person Dr. Árpád Dávid

Course Description The aim of the subject is to make students acquainted with

the processes of spatial and aettlement development,

problems arising from capitalist and other social

development models.

Topics:

Factors effecting socio-economic development.

Requirements, criteria, actors, isntitutions and tools of

regional policy.

The development of regional policy, theories of

regionalisation.

Public administration and spatial development.

The role of different economic branches in spatial

development.

Institutions and tools of regional policy in the developed

market economies.

Regional policy of the European Union.

Problems of spatial development in Eastern Central

Europe.

International regional integrations, spatial cooperations.

The formation of the spatial structure of the Hungarian

economy and society.

The development of the institutional system and functions

of the Hungarian regional policy.

Assessment Written test

Title of Course Unit Geography in English

Code NBT_FD176K2

Host Department Department of Geography

Semester Upon request either fall or spring semester


Prerequisites


ECTS Credits 2

Language English

Contact Person Prof. Dr. Ádám Kertész

Course Description

Aim of the Course: High level knowledge of English language is

unquestionable, nowdays. The aim of the course to get acquainted

the students with the special terms and idioms of the different fields

of Earth sciences. It could ease them the understanding, reading and

writing of English language texts and publications in the future.

Short content of the Course:

Geology, palaeontology

Geomorphology, pedology, -hidrography

The Climate of the Earth

Biogeography, geographical zonality

Meteorology and climatology.

Cartography

Social geography

Population- and urban geography

Physical and social geography of Europe

Physical and social geography of Hungary

Field work and practical methods of geography

Teaching methods of geography

Abilities:

Developing of understanding and reading of foreign language texts.

Developing of thinking and self-training.

Enlarge the knowledge of foreign cultures and people.

Readings

Galácz, A. (1987): Important fossil finds, famous localities in

Hungary, ANN HIST HUN GEOL Spec. Issue: 133-148.

Henderson, P. – Henderson, G.M. (2009): The Cambridge

Handbook of Earth Science Data, Cambridge University Press, p.

277. ISBN 978-0-521-69317-2

Huddart, D. – Stott, T. (2010): Earth Environments. Past, Present

and Future, Wiley-Blackwell,

p. 896. ISBN 978-0-471-48533-9

Kázmér M. (1995): Angol-magyar geológiai szótár, Eötvös Kiadó,

Budapest, p. 420.

ISBN 963 462 963 6

Summerfield, M. A (1991): Global Geomorphology (An

introduction to the study of landforms), Longman Scienfitic &

Technical, Harlow, p. 537. ISBN 0-582-30156-4

The course has no special teaching material. Lecturers provide list

of expressions and idioms dealing with the topic of the lesson. The

above mentioned literature could serve as a base for further studies

both for the students and both for the lecturers.

Assessment

Written test

Title of Course Unit Geography of Globalization

Code NBT_BL701_K3





ECTS Credits 2

Language English

Contact Person Csaba PATKÓS

Course Description The purpose of this subject is to show the revised ideas on space

and spatialities in consequence of the development of

communication, the spreading of technical civilisation and after

all the fulfillment of globalisation and to introduce into the

related research possibilities.

The aim of the course is to survey new problems and paradigms

about space implicated by globalisation. Economic geography

has to concentrate on a borderless hyper-market where the role of

computer-based communication is crucial. Beside globalisation

at micro-regional and local level localisation is an important

counter-process: the building and management of local identity.

The new word “glocalisation” (globlocalisation) comes from the

globalisation-localisation opposite concepts. The apparently

opposite concepts dissolve and harmonize as follows: Integration

into the global processes with the preservation of identity and

values accumulated up to the present.

Readings Bauman, Zygmunt (2000): Globalisation The Human

Consequences. - Columbia University Press 160 p.

Giddens, Anthony (2002): Runaway World: How Globalisation

Is Reshaping Our Lives. – Routledge 100 p.

Massey, Doreen (1999): Human geography today. Polity Press,

Cambridge 352 p.


Title of Course Unit Ichnology

Code NBT_FD157K2




Prerequisites

Basics of Geology


ECTS Credits 2

Language English


Contact Person Dr. Dávid Árpád

Course Description

Ichnology is useful tool to solve sedimentological and sequence

stratigraphic problems. It has great value in paleoenvironmental

interpretation, too.

The course consists of the following topics:

1 General principles of ichnology, 2 The ichnofacies concept, 3

Non-marine ichnofacies, 4 Marine ichnofacies, 5

Palaeoenvironmental significance of trace fossils, 6 Bioerosion, 7

Bioturbation, 8 Ichnofacies analysis, 9 Application of ichnofacies

analysis to the evaluation of different marine environments, 10

Selected case studies.

Field trips: 1 Three days during the semester. 2 Three one day

trips in the vicinity of Eger during the semester..

Readings

BROMLEY, R. G. 1990: Trace Fossil Biology and Taphonomy

Unwin Hyman, London p. 280

CHRISTOPHER, G. M. AND RONALD, R. W. (eds.) 1992: Trace

Fossils, Short Courses in Paleontology Number 5, p. 238

HASIOTIS, S. T. 2002: Continental Trace Fossils, SEPM Short

Course Notes No. 51 p. 132

PEMBERTON, S. G. –SPILA, M.–PULHAM, A. J.–SAUNDERS, T.–

MAC-

EACHERN, J. A. –ROBBINS, D. –SINCLAIR, I. K. 2001: Ichnology &

Sedimentology of Shallow to Marginal Marine Systems: Ben

Nevis & Avalon Reservoirs, Jeanne D’Arc Basin, Geological

Association of Canada Short Course Volume 15, p. 343

WILLIAM MILLER, III (ed.) 2007: Trace Fossils Concepts,

Problems, Prospects, Geology Department Humboldt State

University Arcata, CA, USA p. 611

SEILACHER, A. 2007: Trace Fossil Analysis Springer-Verlag

Berlin p. 226


Title of Course Unit Introduction to Tourism

Code NBT_FD106_K3





ECTS Credits 2

Language English


Course Description The subject comprises special scientific frontier areas having

economic, social, natural, sociological and cultural connections.

Topics:

The system of tourism.

Factors determining touristic supply and demand.

Touristic infra- and supra-structure.

The historic development of tourism in Hungary and in the

World.

The institutional system of tourism.

Policy of tourism.

The touristic product.

Effects of tourism.

The integrative planning of tourism.


Title of Course Unit

Palaeontological Excursions in Hungary

Code NBT FD158K2




Prerequisites

Basics of Geology


ECTS Credits 2

Language English



Course Description

The aim of the course is the detailed introduction of the plant and

animal fossils of Hungary.


1 Geology of Hungary, 2 Palaeozoic formations and their fossils

in Hungary, 3 Triassic age fossils of Hungary, 4 Jurassic age

fossils of Hungary, 5 Cretaceous age fossils of Hungary, 6

Palaeogene formations and fossils in Hungary, 7 Neogene

formations and fossils in Hungary, 8 Quaternary age fossils in

Hungary

Readings

Haas, J. (ed.) (2001):

Geology of Hungary, ELTE

Eötvös Kiadó Kft.

(Selected chapters)

FŰKÖH, L. (1991): The Paleontological Collection of the Matra

Museum. In: VITALIS, GY. & KECSKEMÉTI, T.: Museums

and Collections in the History of Mineralogy, Geology and

Paleontology in Hungary.– Annals of the History of Hungarian

Geology, Special Issue, 3: 301-305.

GALÁCZ, A. (1987): Important fossil finds, famous localities in

Hungary, ANN HIST HUNGAR GEOL Spec. Issue: 133-148

KARÁTSON, D. (2002): The Land that is Hungary - Pannonian

Encyclopedia, Chapter 6, Fossils, Kertek 2000 Könyvkiadó,

Budapest


Title of Course Unit Palaeontological Excursions in Hungary

Code NBT FD158G2




Prerequisites

Basics of Geology


ECTS Credits 2

Language English



Course Description

The aim of the course is the detailed introduction of the plant,

animal and ichnofossils of Hungary. The course has practical

character. Its main topics are the following:

1 Localities, formations, fossils, palaeoenvironments of different

ages of Earth’s history since the Palaeozoic Era in Hungary, 2

Determination of characteristic fossils of Hungary, 3 The history

of palaeontology of Hungary

Field trips: 1 Three days during the semester. 2 Three one day

trips in the vicinity of Eger during the semester.

Readings

Selected works of Hungarian paleontologists dealing with all

fields (micropaleontology, invertebrate paleontology, vertebrate

paleontology, palaeoichnology) of paleontology.


Title of Course Unit Palaeontology of Hungary

Code NBT_156K2


http://eotvoskiado.hu/kiadvanyok/?item_Publisher=1

http://eotvoskiado.hu/kiadvanyok/?item_Publisher=1



Prerequisites

Basics of geology


ECTS Credits 2

Language English



Course Description

The aim of the course is the scientific study of prehistoric plants

and animals of Hungary in their geologic background.


1 General palaeontology and basics of the geology of Hungary, 2

Fossils of the Palaeozoic Era of Hungary, 3 Fossils of the

Mesozoic Era of Hungary, 4 Fossils of the Cenozoic Era of

Hungary, 5 Overview of the most significant fossil finding

localities of Hungary.

The course also contains three one day fieldtrips in the vicinity of

Eger during the semester.

Readings

FŰKÖH, L. (1991): The Paleontological Collection of the Matra

Museum. In: VITALIS, GY. & KECSKEMÉTI, T.: Museums

and Collections in the History of Mineralogy, Geology and

Paleontology in Hungary.– Annals of the History of Hungarian

Geology, Special Issue, 3: 301-305.

GALÁCZ, A. (1987): Important fossil finds, famous localities in

Hungary, ANN HIST HUNGAR GEOL Spec. Issue: 133-148

KARÁTSON, D. (2002): The Land that is Hungary - Pannonian

Encyclopedia, Chapter 6, Fossils, Kertek 2000 Könyvkiadó,

Budapest


Title of Course Unit Renewable Energy Sources

Code NBT_FD135_K3





ECTS Credits 2

Language English


Course Description Nowadays the principle of sustainable development becomes

very important from global to local levels. Students can get

acquainted with the most important renewable energy sources,

their distribution in the world. The European Union puts an

emphasis on the wide use of renewable energy sources, Hungary

has accepted to increase the ratio of renewable sources in her

energy structure. Through some case studies we examine the

main natural and social conditions of their utilization.

Topics:

The definition and types of renewable energy sources.

Geographical and technical opportunities of water and solar

energy utilization.

The usage of wind and geotermic energy.

Biomass – and old and up-to-date energy source.

EU and renewable resources.

The opportunities of Hungary in the usage of renewable energy

resources, the current situation.

The presentation of some technological and financial problems of

usage. Case studies.

Community and energy – a social background.


Title of Course Unit Renewable Energy Sources

Code NBT_FD135_K3





ECTS Credits 2

Language English


Course Description Nowadays the principle of sustainable development becomes

very important from global to local levels. Students can get

acquainted with the most important renewable energy sources,

their distribution in the world. The European Union puts an

emphasis on the wide use of renewable energy sources, Hungary

has accepted to increase the ratio of renewable sources in her

energy structure. Through some case studies we examine the

main natural and social conditions of their utilization.

Topics:

The definition and types of renewable energy sources.

Geographical and technical opportunities of water and solar

energy utilization.

The usage of wind and geotermic energy.

Biomass – and old and up-to-date energy source.

EU and renewable resources.

The opportunities of Hungary in the usage of renewable energy

resources, the current situation.

The presentation of some technological and financial problems of

usage. Case studies.

Community and energy – a social background.


Informatika Intézet

Title of Course Unit Introduction to the computer graphics

Code NBT_IM735K2

NBT_IM736G2

Host Department Institute of Mathematics and Informatics

Semester Autumn or Spring Semester

Contact Hours

Weekly/Total

2+2 (lectures+seminars)/60

Prerequisites Good command of English, an introductory course in computer science

and a knowledge of C or Pascal programming

ECTS Credits 4

Language English

Contact Person Dr. Emőd Kovács

Course Description Objectives: to introduce the student to graphics systems and to examine

some important fields of computer graphics.

Homogeneous Co-ordinates and Matrix Representation

Transformations of coordinates and points

Parallel, axonometric and central projection

Curve and surface interpolations, Lagrange, Hermit etc.

Curve and surface approximations, Bezier, Bspline etc.

Solid modeling

Rendering, shading and lighting. Human color vision

Gourand and Phong shading. Hidden surface removal:

Z-buffer, scan-line algorithms, area-subdivision algorithms, octrees

algorithms, depth sort algorithms.

Ray tracing

Readings

• FOLEY, J.,D., van DAM, A., FEINER, S.,K., HUGHES, J.,F.:

Computer Graphics, Principles and Practice, Second edition in C,

Addison-Wesley, Reading, Mass., 1996.

• ROGERS,D.F., ADAMS,J.A.: Mathematical elements for

Computer Graphics, Mc Graw-Hill, New York, 1976, 2.nd.ed. 1990

Assessment Seminars: computer presentations (50%), mid-term paper (50%), a Pass is

awarded if 70% is achieved,

Lectures: end-of-term written test, a Pass is awarded if 70% is achieved

Title of Course Unit Artificial intelligence

Code NBT_PI100K3

NBT_PI101G2

Host Department Department of Information Technology


Contact Hours

Weekly/Total

2+2 (lectures +seminars)/60


ECTS Credits 3+2

Language English

Contact Person Dr. Gábor Kusper

Course Description AI researches, methods and achievements. Representing problems in state

space, examples. Graph representation. Classification and setup of search

systems. Not modifiable strategies. Backtrack algorithm. Graph search

methods: breadth-first, depth-first, optimal searches. Heuristic graph

searches: best-first and the A algorithm. Wholeness of the A algorithm.

Problem reductive approach, represented with AND/OR graph. Solution in

AND/OR graphs. Search strategies in an AND/OR graph: breadth, depth, AO

algorithm. Listening for termination with labels. Fully described two player

games, their representation with game trees. Existence of winning strategy.

Minimax theorem, alpha-beta pruning. Basics of logic programming.

Readings



Title of Course Unit Database systems

Code NBT_IM709K3

NBT_IM710G2



Contact Hours

Weekly/Total



ECTS Credits 3+2

Language English

Contact Person Dr. József Holovács

Course Description Traditional topics of data processing, the significance of database

approach. The architecture of a general database system. Database

administration, user groups. Levels of database design, data

independence. Data modelling strategies. CODASYL recommendation,

concepts of net modelling. The ER model: entity, attribute, relationship,

type, occurrence, discriminator, model design tools. The relational

model: relational scheme, relationship, integrity restrictions. Practical

topics in relational modelling. Functional dependency, normalization,

normal forms. Attributes of data definition (DDL) and data

manipulation (DML) languages, separate and host language systems.

Data manipulation in the relational model. Relation algebra and relation

calculus. SQL language. Some theoretical questions and actual topics

about data modelling. Realization of functional dependencies.

Embedded models. Object-oriented techniques, parts of ODL.

Familiarization with a specific database management system.

Readings

R. Elmasri, S.B. Navathe, Fundamentals of Database Systems,

TheBenjamin/Cummings Publ. Co., Addison-Wesley World Student

Series, 1994.



Title of Course Unit Data structures and algorithms

Code NBT_IM711K3

NBT_IM712G2



Contact Hours

Weekly/Total



ECTS Credits 3+2

Language English

Contact Person Gábor Geda

Course Description Steps of task resolution on a computer. Main concepts: principle of

algorithm, structural units, attributes, data, data types. Algorithm

describing tools. Classification of basic algorithms, implementations

with describing tools and in an actual programming language. Theorems

of summation, selection, decision, picking; searching (linear and

logarithmic search) and sorting (direct, selection, bubble, insertion,

shell, quicksort) algorithms. Basic concepts of algorithm efficiency.

Principles of data types, their classification. Operations on data types

(create, insert, delete, swap, sort, search, access, iterating , processing).

Representation of data structures (continuous and distributed).

Implementing data structures. Using data structures.

Readings

● G. Gonnet, R. Baeza-Yates: Handbook of algorithms and data

structures. In Pascal and C., Addison-Wesley. 1991.

● R. Sedgewick: Algorithms in C++, Addison-Wesley. 1991.

• E. Horowitz, S. Shani: Fundamentals of Computer Algorithms,

Computer Science Press, 1998.



Title of Course Unit Introduction to informatics

Code NBT_IM740K2

NBT_IM741G2



Contact Hours

Weekly/Total


Prerequisites Good command of English and NBT_IM741_G2 or any equivalent

course.

ECTS Credits 2+2

Language English

Contact Person Dr. Emőd Kovács

Course Description Attributes of information, its transmission. Coding and decoding.

Analogous and digital systems. Numerical systems, conversion rules.

Main concepts of informatics, the digital computer as an information

processing machine. Information representation on computer: bit, byte

and their orders of magnitude; pointer, logic, textual and numerical data

representations and their operations; code representation. Programming

methods.

Computer programming. Main concepts of machine code. Assembly and

higher level programming languages.

Computer architectures. Hardware, software: central processing unit,

peripheral devices, storage devices. Operating systems. Developmental

softwares, compilers, interpreters, syntax, semantics, programming

languages.

Common applications: word processing, presentations, spreadsheets,

database management.

Network basics. Using the Internet.

Readings

• L. Snyder: Fluency with Information Technology: Skills, Concepts,

and Capabilities



Title of Course Unit Dynamic WEB programming

Code NBT_PI115G2


Semester Autumn or Spring semester

Contact Hours

Weekly/Total



ECTS Credits 2

Language English

Contact Person Roland Király

Course Description Basic attributes of script languages (interpreter, dynamic type system,

automatic memory handling, weak type checking, rapid application

development, easier modification, handling heterogeneous data

structures). Main areas of usage (creating web applications, system

administrative scripts, quickly finishing small tasks, creating larger

projects). Script language data types (string, numerical type, list,

hashtable/dictionary, associative array). Introduction to regular

expressions. Practical programming in Perl, PHP, and JavaScript. CGI

programming. Using databases.

Readings

● Perl documentation page. http://www.perldoc.com

● Wall, L., Christiansen, T., Schwartz R. L.: Programming Perl.

O’Reilly, 1998.

● A PHP hivatalos oldala: http://www.php.net/

● Core JavaScript Reference 1.5:

http://devedge.netscape.com/library/manuals/2000/javascript/1.5/referen

ce

● Wall, L., Christiansen, T., Schwartz R. L.: Learning Perl. O’Reilly,

1997.

● Python Documentation: http://www.python.org/documentation

Thomas, D., Hunt, A.: Programming Ruby. Addison-Wesley, 2000



Title of Course Unit High-level programming languages 1.

Code NBT_IM812K3

NBT_IM813G2



Contact Hours

Weekly/Total



ECTS Credits 3+2

Language English

Contact Person Zoltán Hernyák

Course Description Evolution of high-level programming languages. Classification of

programming languages: imperative (procedural and object-oriented),

declarative (functional and logic), specials and languages based on

other principles. Syntax describing formal tools (BNF, COBOL-like,

syntax-graph, hybrid). Character set. Lexical units (symbolical names,

labels, comments, literals). Bound and free form languages. Variable,

named constant. Data types (built-in, user-created, simple and

compound). Declarations. Expressions. Executable instructions. Value

assignments, jumps, conditional instructions. Switch statements.

Iterative possibilities. Units of a program (subroutine, block, package,

task). Parameter evaluation, parameter passing. Scope and life-span.

Stages of compilation. Input/output, handling files. Abstract data

types. Generic programming. Multi threading.

Readings

● R.W. Sebesta, Concepts of Programming Languages. Addison-

Wesley, 2002.

● Marcotty M. - Ledgard H.: The World of Programming Languages,

Springer-Verlag, 1987.



Title of Course Unit High-level programming languages 2

Code NBT_IM814K3

NBT_IM815G2



Contact Hours

Weekly/Total


Prerequisites Good command of English and NBT_IM812_K3 or any equivalent

courses.

ECTS Credits 3+2

Language English

Contact Person Zoltán Hernyák

Course Description Tools of object-oriented languages: class, instance, encapsulation,

inheritance, polymorphism, early and late binding, messages. Pure

and hybrid object-oriented languages. The question of uniformism.

Algorithmic object-oriented languages (Java, Eiffel, Smalltalk, C#).

Functional (applicative) programming languages. Subroutine as a

programming tool. Reference transparency, function composition,

recursion. Logic programming languages. Tools of mathematical

logic based paradigms. Pattern matching, deduction machine.

Declarative object-oriented languages (CLOS, OOPROLOG). Data-

driven programming, data flow languages. Special languages.

Readings

● R.W. Sebesta, Concepts of Programming Languages. Addison-

Wesley, 2002.



Title of Course Unit Development environments

Code NBT_PI152G2



Contact Hours

Weekly/Total


Prerequisites Good command of English and NBT_IM815_G2 or any equivalent

course.

ECTS Credits 2

Language English

Contact Person Gergely Kovásznai

Course Description

Compilers and interpreters. Implementations of programming

languages. Integrated development environments. Editing the source

code of programs, context-sensitive editors. Controlling the

compilation. Using modules. Fine-tuning programs. Tracing

possibilities. Attributes of procedural, object-oriented, functional and

logical developing environments.

Web editors. CASE-tools.

Readings

● W. R. Stevens: Advanced programming in the UNIX environment.

Addison Wesley, 1993.

● C. Petzold: Programming Windows. Microsoft Press, 1998.



Title of Course Unit CISCO Networking Academy Program Discovery 1

Code

Host Department Informationtechnologi

Semester 2010-01-02

Contact Hours

Weekly/Total

2/week

Prerequisites -

ECTS Credits ECTS Credits

Language English/Hungarian

Contact Person Roland Király

Course Description

The Cisco CCNA Discovery curriculum provides general

networking theory, practical experience, and opportunities for career

exploration and soft-skills development. The curriculum teaches

networking based on application, covering networking concepts

within the context of network environments students may encounter

in their daily lives – from small office and home office (SOHO)

networking to more complex enterprise and theoretical networking

models later in the curriculum.

CCNA Discovery is designed for students with basic PC skills and

foundational math and problem solving skills. The curriculum offers

an engaging learning experience for more visual and kinetic

learners. Many interactive activities are embedded in all of the

courses to break up the text and help reinforce student

comprehension. In addition, a large number of labs encourage

additional hands-on practice.

CCNA Discovery can be delivered as an independent curriculum or

integrated into a broader course of study, such as technology or

continuing education programs. The curriculum is appropriate for

students at many education levels and types of institutions,

including high schools, secondary schools, universities, colleges,

career and technical schools, community organizations, and other

non-traditional learning environments.

CCNA Discovery helps prepare students for entry-level career

opportunities, continuing education, and globally-recognized Cisco

CCENT and CCNA certifications.

Readings

CISCO Networking Site

Assessment

Title of Course Unit Automata and Formal Languages

Code NBT_PI110K3

Host Department Department of Computing Science


Contact Hours

Weekly/Total


Prerequisites Good command of English, introductory course on discrete

mathematics

ECTS Credits 3

Language English

Contact Person Attila Egri-Nagy

Course Description

Basic notions of formal languages: alphabet, words, languages and

their operations, formal grammars. Chomsky-hierarchy of formal

languages and the corresponding recognizing automata. The course

is useful for mathematicians, software developers, computer

scientists, linguists.

Readings

John E. Hopcroft and Jeffrey D. Ullman, Introduction to Automata

Theory, Languages, and Computation, Addison-Wesley Publishing

(any edition)

Assessment Lecture: end-of-term oral exam.

Title of Course Unit Computational Complexity and Decidability

Code NBT_PI156K3

Host Department Department of Computing Science


Contact Hours

Weekly/Total


Prerequisites Good command of English, introductory course on discrete

mathematics

ECTS Credits 3

Language English

Contact Person Attila Egri-Nagy

Course Description

What are the theoretical limits of computation? How can we

measure the difficulty of computational problems? These questions

are answered during the course by using Turing machines as the

model of computation.

Readings

Christos Papadimitriou: Computational Complexity (Addison

Wesley, 1994)

Assessment Lecture: end-of-term oral exam.

Környezettudományi Intézet

Title of Course Unit Environmental Science 1.

Fundamentals of Environmental Science

Code ES 101-3

Department Environmental Science


Contact Hours Weekly/Total 2 /30

Prerequisites

none

ECTS Credits 2

Language English

Contact Person Prof. Dr. habil. László Ujfaludi

Course Description

Our cosmic environment - structure and development of the

Universe and the Solar System. The climate system; human impacts

on climate - the ozone problem, the greenhouse effect etc. The

hydrologic cycle; human impacts on water systems. Pollution -

pollution of the air, water and soil.

Energy and environment. Environmental problems of the fossil- and

the nuclear energy. Renewable energy: solar-, wind-, hydropower-,

geothermal- and biomass energy. Ionizing radiations. Noise and

vibrations. Principles of sustainable development.

Readings

Daniel Chiras: Environmental Science. (Action for a sustainable

future.) Benjamin Cummings, New York, Amsterdam, 1994.

Chris Park: The Environment. (Principles and Applications.)

Routledge – Taylor and Francis Group. London and New York,

2001.

Assessment

Written tests (50 per cent), oral exam (50 per cent).

Pass is awarded if altogether 70 per cent is achieved.


Natural Treasures of Hungary

Code ES 161-3

Department Environmental Sciences


Contact Hours Weekly/Total 3 (2 lecture, 1 seminar)/45

Prerequisites

none

ECTS Credits 3

Language English

Contact Person Prof. Dr. habil. Imre Kárász

Emese Szitta

Course Description

Natural geography of the Carpathian Basin.

Landscape units and geomorphologic features of Hungary.

Plant and animal kingdoms in Hungary.

Special habitats, National Parks.

Landscape and settlement ecology of Hungary.

Mineral resources of Hungary.

Readings

Thornes, J.B.: Environmental systems patterns – process and

evaluation. California Press, 1987.

Learmonth, A.: Man-environment relationships as complex

ecosystems, Open University Press, 1995.

Gudie, A.: Environmental change. Oxford University Press, 1992.

Assessment

Seminars: written tests

Lectures: end-of-term oral exam


The Geomorphologic Bases of Environ-mental Science

Code ES 131-2

Department Department of Environmental Sciences


Contact Hours

Weekly/Total

2 lecture/30

Prerequisites Good command of English, good secondary level courses in science

ECTS Credits 2

Language English

Contact Person Dr. Anna Dobos PhD

Course Description The fundamental aim of the course is the presentation of various

landform processes and landforms in the Earth. The main subjects are:

1. Evolution of the Continents; 2. Evolution of the Ocean Basins; 3.

Volcanic forms; 4. Mechanical and chemical weathering; 5. The

wasting of slopes; 6. Processes of Stream Erosion and Deposition; 7.

Groundwater Systems; 8. Glacial Systems; 9. Shoreline Systems; 10.

Aeolian Systems; 11. Landscape Units of Hungary; 12. Summary.

Readings Selected texts from:

1. Arthur N. Strahler (1965): Physical Geography. /third edition/ John

Wiley and Sons, Inc., New York – London – Sydney – Toronto.

2. Miller, G. Tyler (1996): Living in the Environment: Principles,

Connections, and Solutions /ninth edition/. The Annenberg/CPB

Collection, Wadsworth Publishing Company, A Division of

International Thomson Publishing Inc., United States of America.

3. Michael A. Summerfield (1991-1996): Global Geomorphology.

Singapore.

4. W. Kenneth Hamblin: The Earth’s Dynamic Systems: Textbook in

Physical Geology Macmillan, New York – London, 1989.

Assessment

Lectures: End-of-term written test. Pass is awarded if 70% is achieved.


Environmental Physics

Code ES 121-2

Department Physics



Prerequisites

none

ECTS Credits 2

Language English

Contact Person Prof. Dr. habil. László Ujfaludi

Course Description

The course offers a comprehensive physical analysis of major

environmental problems. Subjects to be discussed include human

influence on global climate and its modeling, transport of pollutants

in the atmosphere and in surface- and subsurface waters, health

effects and control of ionizing radiation, energy industry and its

related problems – special focus on the renewable energy resources,

health effects and control of noise.

Readings

Boeker, E.- Van Grondelle, R.: Environmental Physics. John Wiley

& Sons, New York, 1995.

Monteith, J.L.-Unsworth, M.H.: Principles of Environmental

Physics. Edward Arnold, London, New York.

Assessment

Written tests (50 per cent), oral exam (50 per cent).

Pass is awarded if altogether 70 per cent is achieved.

A Kémiai, Borászati Kémiai és Borászati Tanszék által meghirdetendő angol nyelvű kurzusok:

Culture of Wine, Wine Gastronomy, Tasting Methods

Winemaking Technique (1-2.)

Food and Wine Chemistry

Wine Analytics (1-2.)

Food Safety

title of course unit algebra - eszterházy károly university · title of course unit algebra ......

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