1. No category

IMPORTANT NOTES
If for one subject you can find several different types (lecture, practice, laboratory) of courses then please choose
one and only one course from each type in order to be able to perform the subject's
requirements successfully.Civil Engineering courses are on the website seperately. Courses chosen
from the offer of Faculty of Civil Engineering will be checked and arranged individually by the
departmental coordinator.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPAG0236
CAAD and Architects Informatics F
3
Mid-term mark
Course type
Course code
Timetable information
Practice
EN1-ER
WED:10:15-12:00;
This course aims to expand the existing CAD knowledge of students to be able to create and modify complex CAD
models easily. During the course, we use Archicad, so a basic knowledge of the program is expected.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPAG0249
Constructive CAAD CE
3
Mid-term mark
Course type
Course code
Timetable information
Practice
EN1-ER
WED:10:15-12:00;
Advanced CAD modelling course for students who are familiar with AutoCAD. The course deals with modeling
concepts and techniques, texture, lighting and rendering. In the second part of the semester students work more or
less autonomously (with occasional one-on-one consultations) on a model of their choice. See:
http://www.epab.bme.hu/en/?ccce/
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPAG0995
6
AG
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the
subject is to carry out a research on a special topic. The research contains specifying and processing the related
international literature, summing up the findings in a study and finally a presentation. The language of the research
depends on the consultant - the available topics are listed on the department's homepage.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPAGA501
Architectural Informatics 3 - CAD for Architects
3
Mid-term mark
Course type
Course code
Timetable information
Lecture
EN0-ER
THU:10:15-11:00;
Practice
EN1-ER
THU:11:15-13:00;
Use of state-of-the-art CAAD software to develop professional architectural solutions. Extensive use of 3-D computer
model development. Architectural documentation with computers. Computer animation and fly-throught pictures for
architectural space analysis.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPEG0995
6
EG
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the
subject is to carry out a research on a special topic. The research contains specifying and processing the related
international literature, summing up the findings in a study and finally a presentation. The language of the research
depends on the consultant - the available topics are listed on the department's homepage.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPEK0995
6
EK
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Architectural Research for Exchange Students on the topics of construction technology and management. The aim
of the subject is to carry out a research on a special topic. The research contains specifying and processing the
Page 1/50.
related international literature, summing up the findings in a study and finally a presentation. The language of the
research depends on the consultant - the available topics are listed on the department's homepage.
Faculty
Subject code
Faculty of Architecture
BMEEPEKA501
Course type
Course code
Lecture
EN1-ER
Subject name
ECTS credit
Construction Management 1 - Basics of
2
Construction
Timetable information
Grade type
Mid-term mark
TUE:14:15-16:00;
The goal of the subject is to present basic information on the technologies and organization of construction work,
with special respect on construction activities of sub and superstructures. Considering the character of the subject
both theoretical and practical knowledge is essential, therefore besides the lectures the site visits play emphasized
role as well. Main topics: The construction process. Phases and participants of the construction process (roles,
responsibilities, connections, etc.). Technical preparation and controlling of the construction. Handover ndash; takeover of the building (reviewing the constructions ndash; quality and quantity ndash; and the plans) Introduction to
construction technologies, conditions, requirements. Aspects of selecting the technology. Sequence of construction
works (the follow-up of processes). Main equipment of construction (earthwork, foundation work, construction of
loadbearing structures, etc.) Material supply on site ndash; to the site. Informations about the construction site.
Construction site planning. Time scheduling. Types, realations. List of operations, survey for quantities, labour
schedule, plant schedule, material schedule.
Faculty
Subject code
Faculty of Architecture
BMEEPEKA701
Subject name
ECTS credit
Construction Management 3 - Planning of
4
Construction Technology
Timetable information
Course type
Course code
Lecture
EN0-ER
TUE:12:15-14:00;
Practice
EN1-ER
WED:08:15-10:00;
Grade type
Exam
The goal of the subject is to present information on the planning of elementary construction technologies related to
superstructures and finishing work. The subject introduces how to apply recent innovations of building technologies
during design and realisation. It gives a basic knowledge to evaluate construction options and make appropriate
decisions about technology. There are case studies of building technologies used in construction of loadbearing
structures, finishing and cladding works. The practical part contains workshops on planning of construction
technologies: connection of structures and technologies, volume calculation, resource estimation, scheduling antd
construction site planning.
Faculty
Subject code
Faculty of Architecture
BMEEPEKS901
Course type
Course code
Lecture
EN1-ER
Subject name
ECTS credit
Construction Management 5. - Special
2
construction projects
Timetable information
Grade type
Mid-term mark
WED:12:15-14:00;
The coursersquo;s aim is to give up-to-date information on different special fields of construction in three blocks. In
the first block the construction technologies of special, sub- and superstructures are shown, involving topics like
metro tunnels, metro stations, special slurry walls, special reinforced concrete superstructures and formwork
systems. In the second block traditional and modern materials and technologies are presented regarding to eco- and
green architecture, like construction technologies of the passive buildings, or green facades. In the third block
students get information on the application of traditional construction technologies, restoration methods and the
maintenance of monuments and historic buildings. Besides the theoretical lecturers many site visits are organized to
present the practical aspects of the subject as well.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPES0995
6
ES
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the
subject is to carry out a research on a special topic. The research contains specifying and processing the related
international literature, summing up the findings in a study and finally a presentation. The language of the research
depends on the consultant - the available topics are listed on the department's homepage.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPET0407
History of Architecture Theory 1
2
Exam
Course type
Course code
Timetable information
Lecture
EN1-ER
MON:12:15-14:00;
The subject History of Theory of Architecture I. follows the structure of preliminary architectural history courses
Page 2/50.
focusing on the determinant theories of architecture of different periods. The exploration of the most important
tendencies and notions of theory of architecture is based on the preliminary history of architecture studies in an
essentially chronological structure, evaluating them in critical analysis and searching their role in the history of ideas.
Lecture topics include: Categories and concepts of theory in the history of architecture from antiquity to the raise of
modernism in the beginning of the 20th century. Vitruvius and his interpretations. Architectural theory in the Middle
Ages from early Christianity to late Gothic period. Humanism and the revival of antique architecture in the 15th. The
column orders and commentaries on Vitruvius; the theory of the ideal city. Baroque in the reform of the catholic
church. Academic movement in France and Classicism in Italy in the 17th . Theory of architecture in France in the
18th century. Enlightenment and revolutionary architecture. 19th century theories in England, France and Germany;
the interpretation of medieval and classical heritage. The dilemma of eclecticism. Pioneers of modernism and their
manifests. The pluralism in the interpretation of architectural space; architecture and philosophy.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPET0995
6
ET
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Similarly to the international practice the course aims primarily research activity in architecture and its
documentation. The possible horizon of the research topics is determined by the course lists of the departments and
the personal interest of the students. Beside the architectural topics the course will give an appreciation of
interdisciplinary and special fields in international environment too. The project work will demonstrate generic and
specific skills and understanding of the open and synthetic character of the research. The objective of this course is
to hone the skills of analysis and abstraction in order to develop a framework for research. The student should be
able to draw from precedent in the art, architecture and engineering in the development of this framework, which will
act as scaffolding for the theoretical, experimental and creative decisions. This course will consist of a series of
consultations to the teachers, but the essay should write by the student. The available topics are given by the
Departments of the Faculty. The student can propose also a special topic for research during the course, but the
teacher has to be agreeing with the proposal. Course list 2014/2015/fall semester teacher post course language
students theme Dr. VUKOSZAacute;VLYEV, Zoraacute;n Associate professor English max. 2 Contemporary
architecture Dr. KRAuml;HLING, Jaacute;nos Associate professor English max. 1 Architectural analysis of sacral
buildings DARAGOacute;, Laacute;szloacute; DLA Associate professor English max. 1 Architectural analysis of
historic ensembles PAZAacute;R, Beacute;la DLA Assistant professor English, Deutsch max. 2 Contemporary
architecture Zeitgenouml;ssische Architektur Dr. GY. BALOGH, Aacute;gnes Assistant professor English max. 1
19th century architecture
Faculty
Subject code
Faculty of Architecture
BMEEPETA101
Subject name
ECTS credit
The Beginning of Architecture, Vernacular
3
Architecture
Timetable information
Course type
Course code
Lecture
EN0-ER
MON:12:15-14:00;
Practice
EN1-ER
MON:14:15-15:00;
Grade type
Exam
The course gives an overview of the architecture in the first period of the evolution of human culture. The classes
follow chronology ndash; mainly in the first part of the course ndash; with focusing on the development of building
constructions and the development of settlements. Prehistory: Palaeolithic human claim to space, from the cave to
the hut. Building activity of Neolithic peasants, one-celled houses and fortified settlements. Introduction to building
construction in the Near East and Europe. In the second part the course gives an overview of the vernacular
architecture of the world. Native architecture: comparative outline of the architecture of hunting, pastoral and farming
peoples. Construction, building materials and decorations. Native American, African and European architecture. The
practical lessons show details were delivered in the lecture before. The drawings drawn by students help them to
understand the colourful world of common and rural architecture.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPETA301
History of Architecture 3 (Medieval)
3
Exam
Course type
Course code
Timetable information
Lecture
EN0-ER
MON:14:15-16:00;
Practice
EN1-ER
MON:16:15-17:00;
The architecture of the Late Roman Empire. The born of Christianity and its bdquo;Necessity architecturerdquo;.
The born of the monumental Christian architecture ndash; Early Christian architecture in Rome. ndash; Early
Christian architecture in the eastern Provinces: Palestine, North Africa, Syria ndash; Late Roman and Oriental
traditions. Early Byzantine architecture in Thessalonica and in Constantinople. Load bearing structures of the Early
Christian period. Different types of barrel vaults, Roman-type cross vault. ndash; Syrian influences in Armenia. The
bdquo;Iconoclasmrdquo; and the aftermath in Greece. Architecture in the radius of influence of Byzantium. The
comparison of the basilicas in Rome and in Syria. ndash; Ravenna. The penetration of Christian architecture into
barbarian Europe ndash; bdquo;Scattered monumentsrdquo;. Byzantine vaulting systems. The main stream of the
Page 3/50.
Romanesque architecture: the Carolingian architecture with the bdquo;evangelizerrdquo; Benedictine movements,
the three periods of the German-Roman Empire. The Langobard architecture in North-Italy. The Romanesque
vaulting systems: Romanesque cross vault, Sexpartite vaulting, bdquo;groin-ribrdquo; vaulting. Squire-bayed and
free vaulting systems ndash; the pointed arch. Basilica and bdquo;false basilicardquo; type space organization.
ndash; The retrospective interregional influences in Romanesque architecture. ndash; Antique influences. Byzantine
influences. The progressive interregional influences in Romanesque architecture ndash; monastic movements:
Benedictine and Cistercian, Norman bdquo;Imperialrdquo; Romanesque architecture. Morphology of medieval
detailing. The Early French Gothic cathedrals. ndash; The flourishing period of the French cathedrals, and its
influences in South-France, in England, in Germany and in Italy. Interregional influences in gothic architecture:
Cistercian gothic formations, the Franciscan and Dominican movements. ndash; The special characteristics of
English and German gothic architecture. Late gothic vaulting systems: Cylindrical (or net vaults) and Spherical (or
stellar) vaults. Halls and false-halls ndash; Civic movements in Late Gothic in Germany and the proto-renaissance in
Italy. Medieval secular architecture.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPETA501
History of Architecture 5 (19th century)
3
Mid-term mark
Course type
Course code
Timetable information
Lecture
EN0-ER
FRI:10:15-12:00;
Practice
EN1-ER
FRI:12:15-13:00;
The period of this History of Architecture subject is the ldquo;long nineteenth centuryrdquo; from the 1750s to the
1910s. In this era the architecture and the art turned to the past, to the previous styles using them in a new
approach. The architects had discovered the history of art and artistic liberty at the same time. At the turn of the 20th
century the art and also the architecture searched for new ways instead of using historical architectural elements or
motifs. The changes led to the Modern Movement when buildings were being erected without decoration or
ornaments in the first quarter of the 20th century. This period was divided into different eras, but these types of
periodization were different in different countries and changed in the course of the 20th century. Beside the question
of styles 19th century is important not only because of the appearing of new structures and materials in the
architecture but because of the great development in the field of the functional planning. While following the timeline,
the classes concentrate on the development of the styles in several areas of Europe (Great Britain, France,
Germany, Russia) looking out to the United States of America too, because there the styles reflected the European
ones.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPETO901
History of Hungarian Architecture 2.
2
Mid-term mark
Course type
Course code
Timetable information
Lecture
EN0-ER
WED:14:15-16:00;
The course gives an overview of Hungarian architecture from the end of the 18th century up to now. While following
the timeline, the classes concentrate on the main problems of the investigated periods, like the question of
historicism, international and national sources between the 2 Wars, socialist realism in the 1950s, technology and
high-rise in the 1960s, built environment in the 1970s, post-modernism in the 1980s. As the problem of identity
(national or regional architecture) is a recurrent theme through the whole period, the course pays a special attention
to it.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPETO921
Theory of Architecture Design
2
Exam
Course type
Course code
Timetable information
Lecture
EN0-ER
THU:12:15-14:00;
The course aims at awakening and strengthening the studentsrsquo; abilities, interest, to reflect on architectural
design, in accordance with their own cultural background, in the original spirit of theorizing: thinking of, looking at,
with freedom and criticism. Considering the special and unique position of this continuous reflective activity as an
operative and constitutive part of the architectural design practice, the course not only picks up special themes of
history and contemporary discourses, but also concentrates on mobilizing the students practical and theoretical
skills, already acquired during their previous studies.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPETT721
History of Art
2
Exam
Course type
Course code
Timetable information
Lecture
EN0-ER
FRI:10:15-12:00;
Beginnings of the art: the pictures of the cavemen. ndash; Ancient art of the East: Egypt. ndash; Classical art of the
Antiquity: Greek and Roman art. ndash; Early Christian and Medieval art. ndash; Renaissance and Baroque art.
ndash; The art at the age of Enlightenment: Gothic revival, Classical revival, Classicism. ndash; Romanticism,
Page 4/50.
Realism, Impressionism, Postimpressionism. Bibliography: Ernst H. Gombrich: The Story of Art, Phaidon, 1995;
Michael Levey: A History of Western Art; and other (selected) books of WORLD OF ART series: Thames and
Hudson, Oxford University Press; etc.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPIP0995
6
IP
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the
subject is to carry out a research on a special topic. The research contains specifying and processing the related
international literature, summing up the findings in a study and finally a presentation. The language of the research
depends on the consultant - the available topics are listed on the department's homepage.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPKO0995
6
KO
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Similar to the international practice aims the course primary research activity on architecture and its documentation.
The possible horizon of the research topics is determined by the course lists of the departments and the personal
interest of the students. Beside the architectural topics will give the course an appreciation of interdisciplinary and
special fields in international environment too. The project work demonstrating generic and specific skills and
understanding of the open and synthetic character of the research. The objective of this course is to hone the skills
of analysis and abstraction in order to develop a framework for research. The student should be able to draw from
precedent in both art, architecture and engineering in the development of this framework, which will act as
scaffolding for the theoretical, experimental and creative decisions. This course will consist of a series of
consultations to the teachers, but the essay should written by the student. The available topics are given by the
Departments of the Faculty. The student can propose also a special topic for research during the course, but the
teacher has to be agree with the proposal.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPLA0995
6
LA
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the
subject is to carry out a research on a special topic. The research contains specifying and processing the related
international literature, summing up the findings in a study and finally a presentation. The language of the research
depends on the consultant - the available topics are listed on the department's homepage.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPRA0995
6
RA
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the
subject is to carry out a research on a special topic. The research contains specifying and processing the related
international literature, summing up the findings in a study and finally a presentation. The language of the research
depends on the consultant - the available topics are listed on the department's homepage.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPRAO702
Drawing 7.
2
Mid-term mark
Course type
Course code
Timetable information
Practice
EN1
Practice
EN1-ER
MON:16:15-18:00;
Practice
EN1-BR
MON:16:15-18:00;
Lecturing and practising the architecture oriented use of colours. Introduction to the theory of colours. Effect of
colours on human beings. Investigation of relation between architectural forms and colours. Principles of colour
design of the built environment.
Page 5/50.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPRAT701
Department's Design 2.
3
Mid-term mark
Course type
Course code
Practice
EN1-RE
Practice
EN1-ER
Timetable information
WED:14:15-17:00;
This subject based on interior design. The design process focuses on abstract formal approach. Students create
different 3D possibilities in the first half of the semester, then they analyse them. The project becomes in this way
interior design. The design project based on the fundamental decisions and 3D modelling, which are completed by
manual works.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPST0655
Design of Reinforced Concrete Structures
2
Mid-term mark
Course type
Course code
Timetable information
Lecture
EN1-ER
FRI:08:15-10:00;
The subjct introduces students into the way of design of approximate dimensions, joints and structural solutions of
reinforced concrete structures. Invited lecturers expose some of the most significant recent investments in reinforced
concrete in Hungary. The aim of the course is to develop the ability of students - on the basis of EUROCODE 2 - to
adopt architectural dimensions and to evaluate the effect of the chosen architectural lay-out onto the structural
solution.
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPST0995
6
ST
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the
subject is to carry out a research on a special topic. The research contains specifying and processing the related
international literature, summing up the findings in a study and finally a presentation. The language of the research
depends on the consultant - the available topics are listed on the department's homepage.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPSTA101
Introduction to structural design
2
Exam
Course type
Course code
Timetable information
Lecture
EN0-ER
TUE:10:15-12:00;
The most important methods of analysis and design of engineering structures are presented, together with their
modelling, and the applied approximations. It is shown how high school statics (and math) can be applied to
engineering structures. The understanding of the behaviour of structures is emphasized.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPSTA301
Strength of Materials 1
4
Exam
Course type
Course code
Timetable information
Lecture
EN0-ER
TUE:10:15-12:00;
Practice
EN1-ER
MON:12:15-14:00;
Basic concepts of strength of materials. Behavior of solid bodies. Material laws, constitutive equations: elasticity and
plasticity. Central tension and compression. Design criterion. Pure shear. Steel and carpenter joints. Pure bending.
Second moment of inertia. Bending in elastic stress state. Symmetric bending and skew bending. Eccentric tension
and compression. Core of section. Materials not having tensile strength. Bending in plastic stress state. Bending
combined with shear. Calculation of shear stresses. Design for bending. Normal force ndash; moment interaction
curve. Torsion. Plane stress state. Possible failure conditions: rupture and yield. Elastic energy.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPSTA501
Design of Load-Bearing Structures
6
Exam
Course type
Course code
Timetable information
Lecture
EN0-ER
TUE:10:15-12:00; FRI:08:15-10:00;
Practice
EN1-ER
WED:10:15-12:00;
Basic conceptual and computational design methods of load-bearing structures are discussed for reinforced
concrete-, steel-, timber and masonry buildings. The main goal is to gain knowledge about structural design
problems and principles of structural design in order to understand how and why the load-bearing structure
Page 6/50.
influences the work of an architect.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPTCEP01
Interdisciplinary, Project based Design 1.
16
Mid-term mark
Course type
Course code
Timetable information
Practice
EN1-ER
MON:08:15-16:00; THU:08:15-16:00;
Practice
EN2-ER
TUE:08:15-16:00; FRI:08:15-16:00;
The subject is based on the cooperation of the departments of the Faculty of Architecture. Students work in studios
in groups with individual tasks as well instructed by teachers of the departments involved. There are two design
tasks to be solved during the semester, that can be chosen freely from the offered opportunities. Each task is to
solve in seven weeks. Some of the tasks are: sport hall for Olympic Games in Budapest, Dwelling Underground,
Suspension in Architecture, The Green in the Metropolitan Area (green walls, green roofs) etc.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPUI0103
Phases of Urban Development, City of Budapest
2
Mid-term mark
Course type
Course code
Timetable information
Lecture
EN1-ER-BR
FRI:12:15-15:00;
The goal of the course is to give foreign students coming to Budapest an overview of the current urban
developments and at the same time help them to acquire a better understanding of the urban, architectural and
cultural aspects of the city. The course starts with a short general overview of the historical development of Pest and
Buda. Most in-class lectures nevertheless deal with current ongoing urban projects of the city, including urban
renewal projects, housing estate renewals, new public spaces and new real estate developments. The lectures are
followed by site visits, accompanied by specialists of various programmes. For fulfilling the requirements a small
practical assignment has to be solved by the students individually.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPUI0893
Cities of the World
2
Mid-term mark
Course type
Course code
Timetable information
Lecture
EN1-ER-BR
FRI:12:15-15:00;
Elective course of the Department of Urban Planning and Design dealing with current trend of Urbanisation around
the world focusing on the topics:- Global cities and contemporary urbanisms ndash; an introduction to the course- De
-industrialization and urban dynamics- Politics and markets shaping the form of the global city- Urban sprawl and the
regeneration of the inner city- Sustainable urban futures and the quality of life
Faculty
Faculty of Architecture
Course type
Practice
Subject code
Subject name
ECTS credit
Architectural Research for Exchange Students BMEEPUI0995
6
UI
Course code
Timetable information
Grade type
Mid-term mark
EN1-ER-BR
Architectural research for exchange and international students: with the professional leadership of the tutors of the
Department of Urban Planning and Design students work on individual research topics (eg.. Urban History, Urban
Tipologies, Urban Morphologies, Housing estates etc.). The course is based on individual work, with a final output of
an essay.
Faculty
Subject code
Subject name
ECTS credit
Grade type
Faculty of Architecture
BMEEPUIA501
Urban Design 1
2
Exam
Course type
Course code
Timetable information
Lecture
EN-ER-BR
TUE:08:15-10:00;
The subject is the theoretical course of the fifth semester, with 2 hours lecture weekly. The task of the course is to
introduce students to the theoretical background of Urban Planning and Design with specially focusing on the
knowledge and skills necessary for the successful participation in the Design courses later on in the curriculum. The
course deals with the historical background, fundamental theories, basic typologies, most wide spread forms and
basic sustainability aspects of urban design and planning.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEÁTAG11
Fluid Mechanics
5
Mid-term mark
Course code
Timetable information
Laboratory
A10a-lab-ptln
TUE:16:15-18:00(AE_NAGYLAB);
Laboratory
A9b-lab-ptln
TUE:14:15-16:00(AE_NAGYLAB);
Page 7/50.
Laboratory
A9a-lab-ptln
TUE:14:15-16:00(AE_NAGYLAB);
Laboratory
A10b-lab-ptln
TUE:16:15-18:00(AE_NAGYLAB);
Lecture
A7theo
TUE:10:15-12:00(KF81);
Practice
A8b-sem
WED:16:15-18:00(KF87);
Practice
A8a-sem
WED:16:15-18:00(KF83);
ENGLISH course: Main aims and objectives, learning outcomes of the subject: Students will acquire the knowledge
necessary to understand and describe the flow of gaseous and liquid fluids, which is important from a technical point
of view. Building on this knowledge, the laboratory sessions and seminars will show the students how to solve
technical problems related to the flow of a medium. An emphasis will be placed on knowledge related to flow
measurements, measurement techniques applied in evaluating flow phenomena occurring in fluid machinery,
equipment, and ducts. The students will be evaluated on their ability to learn the theory and apply it to practical
problems. These evaluations will be in the form of mid-term exams, tests, and laboratory measurements. This
subject prepares the students for their engineering careers by teaching them to recognize fluid mechanics related
problems, provides them with the knowledge necessary to solve common problems, and gives them a solid
foundation on which they can build in taking on complex assignments. Detailed thematic description of the subject: 1
week 1.LECT: Properties of Fluids, Newtonrsquo;s law of viscosity. Cavitation, description of fluid flow, force fields
1.SEMIN: Problem solving according to the topics covered during the lecture 1.LAB: + week course: 1st preparatory
class: introduction of measurement techniques and instruments 2 week 2.LECT: Characterisation and visualisation
of flows, free (irrotational) vortex, continuity theorem, hydrostatics 2.SEMIN: Problem solving according to the topics
covered during the lecture 1.LAB: # week course: 1st preparatory class: introduction of measurement techniques
and instruments 3 week 3.LECT: Fluid acceleration, Euler-equation, Bernoulli-equation, total, static, and dynamic
pressure 3.SEMIN: Problem solving according to the topics covered during the lecture 2.LAB: + week course: 2nd
preparatory class: introduction of measurement techniques and instruments 4 week 4.LECT: Basic examples for the
Bernoulli-equation: flow rate measurement using a Venturi-tube, measurement of pressure, velocity, and volume flow
rate 4.SEMIN: 1st test (on the material covered prior to the test). Problem solving according to the topics covered
during the lecture 2.LAB: # week course: 2nd preparatory class: introduction of measurement techniques and
instruments 5 week 5.LECT: Syphon, rotating pipe pump, unsteady discharge from a vessel 5.SEMIN: 1st mid-term
exam (on the material covered prior to the mid-term). Problem solving according to the topics covered during the
lecture 3.LAB: + week course: 3rd preparatory class: +week measurement mid-term exam, introduction of the
measurement rigs and measurement tasks 6 week 6.LECT: Euler equation in the streamline coordinate system,
vortex theorem, floating bodies 6.SEMIN: 2nd test (on the material covered prior to the test). Problem solving
according to the topics covered during the lecture 3.LAB: # week course: 3rd preparatory class: #week measurement
mid-term exam, introduction of the measurement rigs and measurement tasks RETAKE IN A NOT REGULARLY
SCHEDULED CLASS PERIOD: + week measurement mid-term exam retake, and oral retake 7 week 7.LECT:
Momentum theorem and its applications, jet contraction, Borda-Carnot expansion, Pelton turbine 7.SEMIN: 2nd midterm exam (on the material covered prior to the mid-term). Problem solving according to the topics covered during
the lecture 4.LAB: + week course: ldquo;+Ardquo; measurement RETAKE IN A NOT REGULARLY SCHEDULED
CLASS PERIOD: # week retake measurement mid-term exam and oral retake 8 week 8.LECT: Kutta-Joukowsky
theorem, Allievi theorem, Euler turbine equation, propeller, wind turbine 8.SEMIN: 3rd test (on the material covered
prior to the test). Problem solving according to the topics covered during the lecture 4.LAB: # week course:
ldquo;#Ardquo; measurement 9 week 9.LECT: Non-newtonian fluids, momentum equation, Navier-Stokes equation,
laminar flow in a pipe, laminar / turbulent flow 9.SEMIN: 3rd mid-term exam (on the material covered prior to the midterm). Problem solving according to the topics covered during the lecture 5.LAB: + week course: ldquo;+Brdquo;
measurement, submission of ldquo;+Ardquo; measurement report 10 week 10.LECT: Hydraulics, dimension
analysis, Bernoulli-equation with losses, friction factor, losses in pipe components 10.SEMIN: 4th test (on the
material covered prior to the test). Problem solving according to the topics covered during the lecture 5.LAB: # week
course: ldquo;#Brdquo; measurement, submission of ldquo;#Ardquo; measurement report RETAKE IN A NOT
REGULARLY SCHEDULED CLASS PERIOD: 1st, 2nd, 3rd retake tests and 1st, 2nd, 3rd retake mid-term exams 11
week 11.LECT: Bernoulli equation for compressible fluids, similarity of flows, boundary layer, mixing length model of
turbulence, flat plate boundary layer 11.SEMIN: 4th mid-term exam (on the material covered prior to the mid-term).
Problem solving according to the topics covered during the lecture 6.LAB: + week course: submission of
ldquo;+Brdquo; measurement report, makeup and supplementary measurements, consultation regarding the postprocessing and presentation of laboratory measurements 12 week 12.LECT: Energy equation, speed of sound, wave
propagation in gases 12.SEMIN: 5th test (on the material covered prior to the test). Problem solving according to the
topics covered during the lecture 6.LAB: # week course: submission of ldquo;#Brdquo; measurement report, makeup
and supplementary measurements, consultation regarding the post- processing and presentation of laboratory
measurements 13 week 13.LECT: Discharge from a vessel, use of a Laval nozzle and its simplified calculation
13.SEMIN: 5th mid-term exam (on the material covered prior to the mid-term). Problem solving according to the
topics covered during the lecture 7.LAB: + week course: Presentation of the ldquo;+Ardquo; and ldquo;+Brdquo;
measurements 14 week 14.LECT: Force acting on solid bodies 14.SEMIN: 6th test (on the material covered prior to
the test). Problem solving according to the topics covered during the lecture 7.LAB: # week course: Presentation of
the ldquo;#Ardquo; and ldquo;#Brdquo; measurements RETAKE IN A NOT REGULARLY SCHEDULED CLASS
PERIOD: 4th, 5th, 6th retake tests and 4th, 5th retake mid-term exams RETAKE EXAM PERIOD: missed
presentations can be presented (if the documentation of the measurement was submitted prior to 4 p.m. of the last
day of the regular semester, and accepted (min.40%)), and, in accordance with TVSz 16sect;(3), one unsuccessful
Page 8/50.
mid-term exam and one unsuccessful test can be retaken.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEENAEHK
Heat Transfer
4
Exam
Course code
Timetable information
Lecture
16-1-ENG-E
MON:16:15-18:00(D218);
Practice
16-1-ENG-G1
TUE:08:15-10:00(D218);
Heat Transfer Topics: Basic forms of heat transfer. Fundamental equations. General differential equation of heat
conduction. Steady state and transient contuction. Thermal resistance. Extended surfaces, fin performance.
Continuously operating heat sources. Numerical methods. Convection; concepts and basic relations, boundary
layers, similarity concept. Free convection, forced convection, boiling and condenstion. Empirical formulas.
Dimensioning of heat exchangers, efficiency. Radiation heat transfer.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
BMEGEENAG51
Course code
Subject name
ECTS credit
Measurement at Energy and Environment
3
Protection
Timetable information
Laboratory
16-1-ENG-LAB
WED:10:15-12:00(D224);
Practice
16-1-ENG-G
WED:08:15-10:00(D224);
Grade type
Mid-term mark
Measurement at Energy and Environment Protection Aims and objectives and description of the course: middot;
Fundamentals of measurement theory and basic metrological concepts. middot; Measurement procedures and data
processing techniques. middot; The measuring system components and characteristics. middot; Basics of
emissions, temperature, energetic and heat engines measurements. Learning outcomes: The main outcomes are
the general overview of measurements of energetic systems, different temperature and emission measuring
systems. The students has practice to use this elements. Course descriptiption: The role of measurements in
maintaining and controlling the energy conversation processes. Hardware and software tools of the control and
measurement systems. Laboratory tests of different engines and equipments. Simultaneous determination of system
variables (flow rates, pressures, temperatures, etc.). Methods of determination of performance, efficiency, exhaust
gas composition. Methodology to be used: Three hour lectures and laboratory test per week. The presentations are
oral presentations, with computer projection, and notes on the blackboard. Presentation of the theoretical
background and lab tests. URL:
ftp://ftp.energia.bme.hu/pub/TAD/SDS_BMEGEENAG51_Measurement_at_Energ_and_Environment_Protection.pdf
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEENAG71
Energy Processes and Equipments
5
Mid-term mark
Course code
Timetable information
Laboratory
16-1-ENG-LAB
FRI:11:15-13:00(D218);
Lecture
16-1-ENG-E
FRI:08:15-11:00(D218);
Energy Processes and Equipment Aims and objectives and description of the course: The course gives a general
overview of energy production and energy generation systems functioning and operation, importance of energy
management. Opportunities and challenges are also discussed. Learning outcomes: General overview of energy
production and energy generation systems function and operation. Course description: The Detailed topics are:
basic processes of energy conversion fossil, and renewable energy sources. Steam and gas turbine, IC engines, fuel
-cells, solar collectors, power stations: gas, steam, nuclear, and combined heat and power generation. Energy saves
consumer equipments. Methodology to be used: Three hour lectures and two laboratory test per week. The
presentations are oral presentations, with computer projection, and notes on the blackboard. URL:
ftp://ftp.energia.bme.hu/pub/TAD/SDS_BMEGEENAG71_Energy_Processes_and_Equipments.pdf
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEÉPAG62
Air-Conditioning
4
Exam
Course code
Timetable information
Lecture
A00
WED:08:15-10:00(KF81);
Practice
A01
WED:10:15-12:00(KF83);
Practice
A02
WED:10:15-12:00(D126);
Air-Conditioning BMEGEEacute;PAG62 Main aims and objectives, learning outcomes of the subject: The objective
is the introduction to the fundamentals of air-conditioning systems in buildings providing a comprehensive knowledge
on the theory and practice of system design and dimensioning with particular attention to the most recent
technologies. By the end of this course you will: - Have knowledge about the aims of air-conditioning: providing
comfort - both thermal and good indoor air quality, reduce energy consumption, increase energy performance, etc. Be able to apply appropriate mathematical and computer-based methods for the calculation of buildingsrsquo; heat
loads and cooling loads, sizing of air-conditioning elements. - Be able to apply knowledge of techniques, codes and
Page 9/50.
standards of practice to the design of cooling components and systems. Method of education: The theoretical
background will be interpreted via lectures, the calculations and tools will be presented during the seminars.
Calculation problems/examples will require active participation. Detailed thematic description of the subject (by topic,
min. 800 character): Date of class Topics to be discussed, readings required for the class Week 1 Introduction, AC
systems, types Heat transfer Week 2 Thermal comfort Heat load calculation Week 3 Thermal comfort, examples
Indoor Air Quality Week 4 Cooling load calculation h-x diagram, psychrometric chart Week 5 Elements, heat
exchangers, hum. Volume flow rate calculation Week 6 Elements, heat exch. cooling, hum Injection Week 7 Test 1,
HW out Injection Week 8 Pressure diagram Air Inlets, SCHAKO Week 9 Elements, heat recovery Week 10
Elements, filters Week 11 Air handling processes Duct network, sizing Week 12 Air handling processes Week 13 Air
handling unit, calc. example Week 14 Test 2 HW in Requirements and grading a) in term-period Knowledge,
understanding and skills are assessed through a combination of written tests and homework throughout the
semester. Homework will be distributed during the semester and will have to be turned in by the end of the course,
before the exam period. Later submission is allowed but a fee has to be paid and homework will have to be turned in
by the 3rd week of the exam period. Homework will not be graded but is compulsory in order to receive a grade. b) in
examination period The course ends with an exam in the exam period. Student will be allowed to take the exam if
both mid-term and end-term tests are passed. c) Disciplinary Measures Against the Application of Unauthorized
Means at Mid-Terms, Term-End Exams and Homework URL: http://epget.bme.hu/hu/14-oktatas/bsc/158-airconditioning
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEGEAGG1
Machine Elements 1.
5
Exam
Course code
Timetable information
Laboratory
AL1
MON:15:15-16:00(R111);
Laboratory
AL2
MON:15:15-16:00(R112);
Lecture
AE
MON:12:15-14:00(R109);
Practice
AG2
MON:14:15-15:00(R112);
Practice
AG1
MON:14:15-15:00(R111);
Machine Elements 1 Topics: Design principles, loading cases, critical conditions, safety factor. Joints. Classification.
Bolted jionts. Threaded fasteners. Applications. Thread profiles. Bolt selections. Torque calculation. Bolt tightening.
Power screws. Riveted joint. Elastic cushion (spring) model. Welded joint. Types, loading. Stress calculation. Shaft
ang hub joints. Torque transmission joints (key, flat key, spline). Interference fit. Transmittable torque. Cylindrical and
taper joints. Elements of pipe networks. Pipe fittings. Pressure vessels. Standard and optimal design. Gaskets and
Seals. High pressure, temperature and speed applications. Springs. Steel and rubber springs. Functional and stress
design. Shafts and rotors. Stress analysis of shafts and rotors for static combined loads. Fatigue and life of
members. Dimensioning on strength at harmonically varying loads.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEGTAG94
Manufacturing processes
4
Exam
Course code
Timetable information
Laboratory
2
WED:14:15-16:00(G113);
Lecture
1
MON:14:15-16:00(G116);
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEMIAMG1
Measurement Technology
3
Mid-term mark
Course code
Timetable information
Laboratory
15o_A_L02
MON:08:15-10:00(D532);
Laboratory
15o_A_L01
MON:08:15-10:00(D532);
Lecture
15o_A_E
WED:14:15-16:00(D316A);
Measurement technology and processing of measured data of typical geometrical quantities in mechanical
engeineering and in mechatronics. Forms of results. Basic rules of probability and statistics in measurement science.
SI basic quantities. Classification of measurement errors according their origin, character and form. Methods for
decreasing of the influences of errors. Electric measurement of time depending non-electric quantities in mechanical
engineering. Structure of measureent chains, systematization of sensors and transducers, the difference between
them. Indirect measurement. Form of errors: Measurement errors in time and frequency domain. Basics of signal
analysis and signal processing. Digital measurement of lenght and angle in mechanical engineering. Sampling of
time depending signals, sampling theorem.The students are skilled in basic measurement problems of mechanical
engineering as length and angle. They will learn the most important data processing methods of probability. Further
goals are the learning and using of the official forms of result and the introduction in the problems of measurement of
time dependent non electric quantities.
Page 10/50.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
BMEGEMMAGM
1
Course code
Subject name
ECTS credit
Grade type
Statics
3
Mid-term mark
Timetable information
Lecture
AE
MON:10:15-11:00(D316A);
Practice
AG
MON:11:15-12:00(D316A);
Statics Topics : Force, moment, force-couple. Fixed vector systems. Reduction of a force system. Equilibrium
equations. Rigid body. Centroid. Plane constraints. Trusses. Method of joints and method of section. Combined
plane structures. Principle of superposition. Stress resultants. Stress resultant diagrams and functions. Coulombfriction. Belt friction. Rolling resistance.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
BMEGEMMAGM
3
Course code
Subject name
ECTS credit
Grade type
Dynamics
5
Exam
Timetable information
Lecture
AE
WED:10:15-12:00(D316A);
Practice
AG
WED:16:15-18:00(D316A);
Dynamics Topics : Kinematics and kinetics of a particle. Constrained motion. Dynamics of a set of particles. Plane
kinematics of rigid bodies. Relative kinematics. Plane kinetics of rigid bodies. Mass moments of inertia. Work and
power theorems. Kinetic energy. Central and eccentric impact. General plane motion. Rotation about a fixed axis.
Static and dynamic balancing.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
BMEGEMMAGM
5
Course code
Subject name
ECTS credit
Grade type
Fundamentals of FEM
3
Mid-term mark
Timetable information
Laboratory
AL1
THU:12:15-13:00(MM_F15);
Laboratory
AL4
THU:15:15-16:00(MM_F15);
Laboratory
AL5
FRI:14:15-15:00;
Laboratory
AL2
THU:13:15-14:00(MM_F15);
Laboratory
AL3
THU:14:15-15:00(MM_F15);
Lecture
AE
MON:12:15-13:00(KF87);
Practice
AG2
MON:13:15-14:00(KF87);
Practice
AG3
MON:13:15-14:00(KF87);
Practice
AG1
MON:13:15-14:00(KF87);
Fundamentals of FEM Topics: Short history of the method. Importance in the engineering design. Mathematical,
computational and mechanical background. Overview on the frequently used types of elements in the structural
analysis. Detailed description of elements for truss structures and for frames. TRUSS2D, BEAM1D, BEAM2D
elements. Derivation of element and structural matrices. FE modeling of skeletal structures. Symmetric structures.
Closed frames. Frequency analysis of elastic frames. Critical angular velocities of rotating shafts with disks.
Modeling examples. Case studies. Commercial FE softwares. Additional capabilities of FEM.
Faculty
Faculty of Mechanical
Engineering
Course type
Laboratory
Subject code
Subject name
ECTS credit
Grade type
BMEGEMTAGE1
Metal forming
4
Mid-term mark
Course code
Timetable information
L1
THU:16:15-18:00;
Laboratory
L2
THU:16:15-18:00;
Lecture
Ea
FRI:12:15-14:00(G120);
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEMTAGK2
Materials Engineering
4
Exam
Course code
Timetable information
Laboratory
AFt2 A
WED:18:15-20:00;
Laboratory
AFt2 B
WED:18:15-20:00;
Laboratory
AFt1 B
TUE:10:15-12:00;
Laboratory
AFt1 A
TUE:10:15-12:00;
Lecture
AEa
MON:10:15-12:00(G120); TUE:10:15-12:00(G120);
Main aims and objectives, learning outcomes of the subject: The main goal of the subject that the students get
Page 11/50.
acquainted with the metals, ceramics and composite materials and their production techniques. The students will
learn about the materials selectionrsquo;s guidelines for engineering structures. The production of metals and
ceramics, grouping, grades, adjustment and changing their properties. Casting, powder metallurgy, forming, heat
treatment and joining techniques of structural metallic materials. The effect of technologies on the materials structure
and properties. Stress analysis of structures and tools, selection of appropriate materials, semi-products, and
production technologies. Detailed thematic description of the subject: Lectures 1. week: Introductory lecture.
Overview of the semester. Phase diagrams, Fe-Fe3C 2. week: Non-equilibrium phase transformation 3. week: Iron
and Steel making processes 4. week: Types of Steels, Surface coating technologies 5. week: Cast Irons, iron
casting, powder metallurgy 6. week: Aluminium and its alloys 7. week: Titanium, Brass, Bronze 8. week: Heat
treating 9.-10. week: Forming technologies 11-12. week.: Welding 13. week: Surface treating 14. week: Materials
selection Laboratory practices 1.: Steels and hardenability 2.: Nonferrous metals, light metals 3.: Materials selection
4.: Forming 5.: Welding Subject data sheet and requirements in english:
http://www.att.bme.hu/en/education/BMEGEMTAGK2E/download/Data_sheet_GEMTAGK2_Materials_Engineering.
pdf
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEPTAGE2
Injection molding
3
Mid-term mark
Course code
Timetable information
Laboratory
L
WED:08:15-10:00(MT_PTLAB);
Lecture
E
WED:08:15-10:00(MT_PTEA);
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGERIA31I
Information Systems
4
Mid-term mark
Course code
Timetable information
Laboratory
15o_A_L
THU:10:15-12:00(D505);
Lecture
14o_A_E
MON:14:15-16:00(D505);
Studentsrsquo; facility development in the field of computer usage and programming.Lectures: Introduction to
Informatics. Programming Technology. Data and Algorithm. Basics of Computer Sciences. Computer Structure and
Operation. Basic Hardware Elements. Operating Systems. Computer Networks. Internet. Databases. Computer
Graphics.Computer Laboratory sessions: Informatical background of the university. The C\# story. Development
environment. Data types, variables/constants, declarations, assignment operator. Conditional statements, intrinsic
functions, blocks of statements, type conversions. Function definition, parameters, local and global variables,
overloading, exception handling. Arrays, basic loops, searching and sorting. Loops, iteration algorithms. Structures,
classes, member variables and functions, instantiations, constructor, destructor. Inheritances, reference classes,
overloading, static members. Srings and text processing.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEVÉAG02
Diffusion Processes
2
Exam
Course code
Timetable information
Lecture
A20
THU:08:15-09:00(D316A);
Practice
A21
THU:09:15-10:00(D316A);
Diffusion Processes Aim of the subject: To teach to the students the theory of the mass transfer operations and the
methods and equipment of one of the most important diffusion process (distillation). Topics of the subject: 1st week:
Applications of mass transfer, more important diffusion processes. Batch and continuous operation. Continuous and
stagewise contact. Equilibrium stage. Phase rule of Gibbs. Vapour-liquid equilibrium of a binary mixture. 2nd week:
Steady state and transient diffusion. Theory of diffusion, Fickrsquo;s 1-st law. Analogy with momentum and heat
transfer. 3rd week: Relation between the diffusivities DA,B and DB,A. Equimolar counter diffusion. One way
(unimolar) diffusion. 4th week: Prediction of diffusivities for gases, influence of pressure and temperature. Diffusion
in small pores (Knudsen diffusion, in pores of intermediate size). Diffusion in liquids. Dilute aqueous solutions. 5th
week: Schmidt number. Turbulent diffusion. Transient diffusion. Mass transfer coefficients. 6th week: Theory of film.
Two film theory. The rate of mass transfer. Relation between the overall (Ky) and film transfer coefficients (kx, ky).
7th week: Determination of mass transfer coefficients. Measurements: wetted wall column. Correlations, Sherwoodnumber. 8th week: Vapour-liquid equilibrium conditions. Basic notions and laws. Vapour-liquid equilibrium of ideal
mixtures. Temperature-composition (T-x,y) and y-x equilibrium diagrams of ideal and azeotropic (minimum and
maximum boiling point) mixtures. Optimal feed plate location. 9th week: Distillation methods. Flashing and its
calculation. 10th week: Rectification. Determination of the number of theoretical plates. Heat condition of feed (q).
Intersection of the operating lines (q-line). 11th week: Heat balance of the column. Total reflux, minimum number of
plates. Minimum reflux ratio. Optimal reflux ratio. 12th week: Rectification calculations. 13th week: Differential
distillation, calculations. Batch rectification under constant reflux ratio and constant distillate composition. 14th week:
Plate efficiencies. Different types of plates. URL: http://www.epget.bme.hu/hu/14-oktatas/bsc/159-diffusionprocesses
Page 12/50.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Measurement Techniques for Chemical and
BMEGEVÉAG04
3
Environmental Processes
Course code
Timetable information
Laboratory
A14
THU:09:15-11:00(D102);
Practice
A13
THU:08:15-09:00(D102);
Grade type
Mid-term mark
BMEGEVEacute;AG04 Measurement for Chemical and Environmental Processes (0/1/2/f/3) Aim of the subject:
Basic measurement techniques and their application possibilities in chemical industry and environmental protection.
Topics of the subject: 1-6. week : Classroom / Dep. of Building Services and Proc.Engin./ 5x3 lessons. - Basic
concepts for process plant instrumentation. Instrument selection. ( Temperature, flow rate, pressure, level and
weight measurement methods.). - Mixing autoclave. Mixing performance is calculated. Torque measurement. Data
processing. -Instrumentation and control of dryers.Measurement of heat- and mass transfer coefficients. Air humidity
measurement. - Instrumentation and control of evaporators. Measurement of heat- and mass transfer coefficients.
Composition Measurement. - Water quality monitoring. pH, conductivity, turbidity measurements. 6-7week: Lab.
Exercises / Dep. of Building Service and Proc.Engin./ 2x3 lessons LAB1. Measurement of a convective dryer. LAB2.
Measurement of a single effect evaporator. 8-9. week: Lab. Exercises / Department of Fluid Mechanics/ 2x3 lessons.
LAB3. Investigation on capture hood of hot flue gas LAB4. Wind tunnel investigation on pollutant transport 10-11.
week: Lab. Exercises / Department of Energy Engineering/ 2x3 lessons. LAB5. Reduction in emissions with Catalytic
Converters LAB6. Determination of the Three-way Catalyst Conversion Efficiency 12-13. week: Lab. Exercises /
Department of Hydrodynamic Systems/ 2x3 lessons. LAB7. Measurement of fluidization LAB8. Measurement of
cyclone 14. week: /Dep. of Building Services and Proc.Engin. TEST practices material URL:
http://www.epget.bme.hu/hu/14-oktatas/bsc/161-measurement-techniques-for-chemical-and-environmentalprocesses
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEVGAG01
Introduction to Mechanical Engineering
4
Exam
Course code
Timetable information
AnL
WED:10:15-12:00(L-HIDROLAB);
Lecture
AnE
WED:12:15-14:00(D327);
Practice
AnGy
WED:10:15-12:00(D327);
Laboratory
Main aims and objectives, learning outcomes of the subject: Upon finishing the course, the students will be familiar
with the basic concepts of physics and engineering needed for latter engineering studies such as linear and angular
velocity and acceleration, force, torque, power, energy, efficiency, dimensional conversion, pressure, fluid velocity
etc. They will have experience on how to solve and handle engineering problems. Method of education: lecture: 2h/w
seminar: 2h/2 weeks laboratory: 2h/2 weeks homework: measurement report submission Detailed thematic
description of the subject (by topic, min. 800 character): Some definitions for machines. Basic and derived quantities.
Transmission of mechanical work. Losses and efficiency. Uniformly accelerated motion of machines. Motion graphs.
Absolute and gauge pressure. Bernoullirsquo;s equation. Venturi meter. Linear and rotational analogues. Thermal
energy. The specific heat capacity and latent heat. Introduction into error estimation. Balance machines. Orifice and
volume meter tank. Measuring pressure, fluid velocity.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEVGAG03
Measurement Technique of Processes
2
Mid-term mark
Course code
Timetable information
Laboratory
AnL
FRI:12:15-14:00(L-HIDROLAB);
Lecture
AnE
FRI:12:15-14:00(D327);
Main objectives of the subject: The aim of this subject is to present the fundamental devices and methods of
measurement techniques of processes. The course presents the mathematical methods of the measuring
techniques and the signal processing; shows the practical usage of them; and points out the achievable results.
Detailed thematic description of the subject: Lectures: 7*2h Reviewing the basic concepts of probability theory and
mathematical statistics; Error Estimation for indirect measurements; estimating systematic errors Estimating
systematic (accuracy class) and random errors ensemble for indirect measurement results; Calibration The
fundamentals of measuring time variant signals: Sampling and Quantization Theorems; Theoremrsquo;s analysis;
Consequences in measuring techniques Fourier series and transformation, and their role in signal processing; The
Spectrum and itrsquo;s applications; Recognizing periodic and noise processes Application of spectrum and
cepstrum analysis for investigation operating machines The real measurement result; Noise, as the characterization
of stochastic processes; Amplitude density function; Autocorrelation and Cross correlation functions Application of
Autocorrelation and Cross correlation technique for analyzing periodic and transient signals Laboratory practices:
4*3,5h Pressure transducerrsquo;s response to step function Pressure transducerrsquo;s response to harmonic
excitation Measuring transmission characteristics of an impulse line Investigating the effects of sampling parameters
Page 13/50.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEVGAG04
Volumetric Pumps and Compressors
2
Mid-term mark
Course code
Timetable information
Lecture
AnE
WED:14:15-15:00(KF87);
Practice
AnGy
WED:15:15-16:00(KF87);
Main aims and objectives, learning outcomes of the subject: Upon finishing the course, the students will be familiar
with the operating principles and basic types of positive displacement pumps and compressors. They will be able to
perform simple sizing tasks and design basic hydraulic circuits. Method of education: lecture: 1h/w seminar: 1h/w
laboratory: 0h/w homework: two design problems Detailed thematic description of the subject: Positive displacement
pumps. Pump characteristic and performance. Reciprocating and rotary types. Gear pumps. Performance of a gear
pump. Characteristics. Pressure balancing. Bearing forces. Screw pumps. Screw pumps for delivery of higher
viscosities fluid. Roots blower. Delivery, isentropic and adiabatic power. Reciprocating compressors. Compression
efficiency. Valves. Regulation. Pressure-volume diagrams for different methods of regulating and governing
compressors. Sliding vanes pump. Characteristic performance. Capacity and efficiency. Effect of viscosity.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEVGAG07
Fluid Flow Systems
3
Mid-term mark
Course code
Timetable information
Lecture
AnE
THU:14:15-16:00(KF82);
Practice
AnGy
THU:16:15-17:00(KF82);
Main aims and objectives, learning outcomes of the subject: The main aim of the subject is to familiarize the
students with the computational concepts of large water/gas distribution systems containing simple pipes, valves,
throttles, reservoirs and pumps. Upon finishing the course, the students will be able to select pumps for a given
system, perform stationary computations and reservoir sizing tasks. Detailed thematic description of the subject:
Lectures: 7*3h Basic principles of the conservation laws (mass, momentum and energy). Pressure and head losses
in different type of devices. Characteristic curves of a pipelines and pumps. Parallel and series connections of
pipelines and pumps. General solution technique for large pipe network systems. Defining the unknown quantities
and collecting the required number of equations. Newtonrsquo;s method for solving large scale algebraic systems.
Case study of pump selection for a given water distribution system with given daily consumption schedule. Reservoir
sizing and characteristic curve of the system. Generalization of solution concept for compressible flows. Case study
of a long natural gas pipeline. Derivation of the first order ordinary differential equation describing the stationary open
channel flows. Definition of the specific depths (normal, critical) and the wave celerity. Discussion of the solution
properties as a function of the relative position of the normal and critical depts. Numerical solution technique for first
order ordinary differential equations. Simple explicit Euler method. Selection of proper initial conditions.
Faculty
Faculty of Mechanical
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGEVGAG14
Analysis of Technical and Economical Data
3
Mid-term mark
Course code
Timetable information
Lecture
AnE
THU:10:15-12:00(D316A);
Practice
AnGy
THU:16:15-18:00;
6. Main aims and objectives, learning outcomes of the subject: Processing and analysis of technical data is often
part of engineering tasks. The data can originate from measurements of economical processes and results or from
some technological tests but the main methods of the analysis are basically independent from the data source.
Utilizing these methods the valuable information can be extracted from complex data sets through measurements of
possible correlations, hypothesis testing and quality assurance tests. 7. Method of education: Lectures: 2hrs/week
Seminar: 1hr/week To be able to practice the course material usage of computers is necessary. 8. Detailed thematic
description of the subject (by topic, min. 800 character): 1. Probability theory basic review: relative frequency,
probability, probability density and distribution, expected value, standard deviation. 2. Basic definition in statistics:
average, empirical variance, empirical ddensity and distribution functions. Application: quality control, histogram,
Pareto-Lorenz diagram. 3. Data acquisition with sampling: sampling techniques. Sampling in quality control.
Application: calculation of the required dataset sizes for analysis. 4 Operation characteristics curve: product
acceptance using statistical sampling. Application: calculation of economically justifiable fallout rate. 5. Quality and
reliability. Upper- and lower control bounds. Control capability index. Application: Machine settings verification. 6.
Data acquisition with measurement: measurement principles (comparability, equality, disparity). Direct and indirect
measurements. Propagation of measurement errors. Application: evaluation of acceptance measurements, error
bounds. 7. Point and interval estimation: poperties of the estimations. Confidence interval for expected value and
variance. Application: Analysis of technical and economic data with the help of confidence interval. 8. Correlation
coefficient, empirical correlation coefficient. Main properties. Application: correlation diagram, use of correlation in
quality control. 9. Regression analysis based on generalization of Gauss-Markov theorem. Application: linear and
polynomial regression between the variables of the data of technical processes. 10. Regression models: Estimation
of degree-index. Coefficient of determination. Forecasting economic trends with moving average and exponential
Page 14/50.
smoothing. Application: prognosis of capacities, production and utilization. 11. Statistical tests: parametric and nonparametric test. Detailed discussion of the U-test. Critical domain. First and second type errors. Application:
verification of change in consumption trends. 12. Parametric tests: T-test, F-test, etc. Application: Quality and
production control with parametric tests. 13. Non-parametric tests: c2 and Wilcoxon tests. Application: verification of
fittings in production and quality control. 14. Introduction to variance analysis: hypothesis testing with F-test, ANOVA
test. Application: analysis of production quality.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT20A001
Management and Business Economics
4
Mid-term mark
Course code
Timetable information
ER
MON:08:15-10:00; WED:14:15-16:00;
The course is designed for engineering students who would like to have a better conceptual understanding of the
role of management in the decision making process. The course introduces the essentials of management as they
apply within the contemporary work environment and gives a conceptual understanding of the role of management in
the decision making process. Particular attention is paid to management theories, corporate finance, leadership,
teamwork, quality management, management of technology, economics calculation and operations management.
For problem formulation, both the managerial interpretation and the mathematical techniques are applied.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT20A048
Marketing
5
Exam
Course code
Lecture
ER-ea
Practice
ER-gyak
Timetable information
After the course the students understand the role of marketing in an organization. Students get familiar with the
marketing tasks, tools and strategies. Through the practical work the student is able to elaborate certain marketing
topic using the knowledge acquired on lectures.Content: Introduction to marketing. The marketing environment.
Strategic marketing planning. Marketing information and marketing research. Market segmentation and targeting.
Positioning. Consumer buyer behaviour. Business-to-business marketing. Product strategy. New product
development. Marketing services. Pricing strategies. Marketing channels. Advertising, sales promotion and PR.
Direct marketing and personal selling.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT20MW02
Management
5
Mid-term mark
Course code
Timetable information
ER
FRI:12:15-15:00(R108);
The course introduces the field of the life in workplaces. It covers a wide range of theories and applications dealing
with such topics as motivation, team dynamics, leadership, organizational culture, and different HRM activities, like
recruitment and selection, performance appraisal and training. The goal of this course is to help students develop a
conceptual understanding of theories in organizational life (Organizational Behaviour) and to provide special set of
skills to manage human resources (Human Resource Management), not only for those who are in managerial
positions, but for future engineers and other professionals.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT30A001
Micro- and Macroeconomics
4
Exam
Course code
Timetable information
A1
MON:08:15-10:00(KF87); TUE:12:15-14:00(KF87);
Selected topics and analytical techniques in micro- and macroeconomics tailored for engineering students.
Introduction to microeconomics. Some basic economic concepts and analytical tools. Scarcity: source of eternal
struggle or the foundation of all economic systems? How does ldquo;choicerdquo; determine everyday life, and what
role does it play in the operation of businesses? Opportunity cost, sunk cost, normal profit. How does the product
market work? Consumer choice: what are the options on the demand side, what are the goals of the consumer and
how they are achieved? The forms and aims of businesses. Basics of accounting and finance. Cost and profit
analysis. Competition and market systems. Introduction to macroeconomics. How does government policy interact
with the decisions, profitability and life cycle of businesses? The main issues of macroeconomic study: gross
domestic product, changes in the price level, unemployment ratio. Governmental policies: tools and effects. Fiscal
policy: direct intervention to the life of the households and firms. Monetary policy: changes in the regulations,
workings and major indicators of the financial market, and their effect on the households and firms. Economic growth
and productivity. Issues of international trade: exchange rate and exchange rate policy.
Page 15/50.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT35A002
Accounting
2
Mid-term mark
Course code
Timetable information
A13
Students of the course receive managerial and other practice oriented knowledge concerning the financial and
profitability status of companies, learn about the methodology, procedure and settlement of financial transactions.
The purpose is to provide the students with a confidential knowledge in the field, to guide them in the language of
business, to present a financial concept and to supply the students with an asset necessary for international
communication based on accounting cognition.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT35M004
Investments
2
Mid-term mark
Course code
Timetable information
A05
The main topic of this course is fixed income valuation, with a special emphasis on US mortgage backed securities.
First, we briefly review the fundamentals of modern portfolio theory, starting from Markowitzrsquo;s original model to
the foundations of modern multi-factor models. We analyze the Capital Asset Pricing Model, define risk, introduce
risk measures and talk about the risk free rate and risk premium. Later, we turn our attention to fixed income
instruments. We classify the instruments, and review the most frequent cash-flow structures, then talk about
valuation. We define duration and convexity, and the basics of building an index replicating bond portfolio. We go
into more details in US agency (prime) mortgage backed pass-through and structured securities. Using MS Excel to
model prepayment behaviour, we simulate future interest rates, generate cash-flows of complex structured products
and finally use Monte Carlo simulation to calculate modelled price. We define and calculate option adjusted spreads.
The second part of the course is quite technical. While not a prereq, some background in probability theory, Monte
Carlo simulation, interest rate models, and general mathematics is definitely an advantage.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT418959
Techniques of argumentation
2
Mid-term mark
Course code
Timetable information
ER
WED:10:15-12:00(E203);
Subject code
Subject name
ECTS credit
Grade type
BMEGT41A002
Research Methodology
2
Mid-term mark
Course code
Timetable information
ER01
MON:10:15-12:00(E201);
The course aims at helping the students to create a conscious attitude towards the methodological tools and
abstract notions of their own subject. We are going to examine the chief characteristics of scientific activity as well as
the primary methodological norms of research. We will study the basic notions of scientific knowledge (what do we
understand by knowledge, causal relationship, law of nature, what basic understandings of space and time can be
identified), and we will also observe the different phases of scientific cognition (experience, making hypotheses and
theories). We are going to examine the role mathematics plays in the sciences. Among the scientific methods we will
treat separately the followings: experimenting, measuring, quantification, verification and falsification. We will
examine when a theory can be seen as verified, confirmed and falsified, and which results confirm a given theory.
During the course, we are gong to illustrate with historical and contemporary examples how the above discussed
methodological rules have been put into practice.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT42A003
Environmental Management Systems
3
Mid-term mark
Course code
Timetable information
EN16
TUE:14:15-17:00;
The course covers the topics relevant to the protection of environmental compartments, environmental pressures
and pollution in a global context. The course introduces the concepts, indicators and tools of environmental
protection, and the environmental management systems (EMS) at enterprises and other organizations. EMS topics
include the assessment of environmental aspects and impacts, environmental audits, reporting, environmental
performance evaluation, life cycle assessment.
Page 16/50.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Sustainable Environmental and Natural Resource
BMEGT42MN03
6
Management
Course code
Timetable information
Lecture
08
Practice
G08
Grade type
Exam
The course unit aims to achieve two main goals. Firstly, to teach students the economic theory governing the
efficient allocation of environmental and natural resources, based on their scarcity and renewability. Secondly, to
offer an insight into the practical use-related questions of the various types of environmental and natural resources,
with an overview of best practices currently available.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT42N000
Theory and Practice of Environmental Economics
4
Exam
Course code
Timetable information
EN11
MON:14:15-16:00;
The subject is to present the most important principles of environmental economics, environmental policy and
sustainability as well as to show some practical applications. The topics included: systems and relations of economy,
the society and the environment, a historical overview of environmental economics, the concept, levels and different
interpretations of sustainable development. Environmental policy from an economic perspective is also discussed: its
definition and types, economic and regulatory instruments in environmental protection, their advantages and
limitations. Theoretical approaches include the theory of externalities, internalisation of externalities, Pigovian
taxation, the Coase theorem, environmental economics in a macroeconomic context, alternative, ldquo;greenrdquo;
macro-indicators (NEW, ISEW,GPI), monetary environmental valuation, the concept of total economic value and
environmental valuation methods (cost-based methods, hedonic pricing, travel cost method, contingent valuation,
benefit transfer). Environmental Policy in Hungary. Introduction to environmental economics. Nature conservation
and natural parks. Energy policy: providing a safe and sustainable development strategy. European and Hungarian
Sustainable Development Strategy. Sustainable consumption. Corporate Social Responsibility.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT42N001
Hungarian and EU Environmental Strategies
4
Exam
Course code
Timetable information
EN06
MON:16:15-18:00;
The course is aimed at providing an insight into the interrelationships between government and natural resources,
and the theoretical and practical opportunities for executing strategies of sustainable development. The course will
introduce the development of the concept of sustainable development, from its earliest days to the global factors of
contemporary days. The course will explore the possible paths of transitioning to sustainability, firstly through the
aspect of resource management, and secondly from an aspect of corporate management, through Corporate Social
Responsibility. The local and micro-regional levels of sustainability will be addressed. Students will get an insight into
sustainable consumption, and closing the open links in the economic chain, including ldquo;Retain ndash; Reduce
ndash; Re-Use ndash; Recyclerdquo;, and the principles of Life Cycle Analysis. Students will get an overview of
regulating recycling and other policy measures. Finally, the course will focus on the technological foresight in
conjunction with sustainable development, and the outlines of the key trajectories. To wrap up the course, an
overview of European sustainable development policy will be given.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT42N002
Regional Economics
2
Mid-term mark
Course code
Timetable information
EN04
TUE:14:15-16:00;
The aim of the subject is to introduce basic, actual regional economics and spatial planning theory as well as the EU
and Hungarian practice. The topics of the subject include the roots of spatial planning in economic theory, including
the theories of Thuuml;nen, Weber and Louml;sch, the theory of central places, growth poles and growth centres
and territorial division of labour (Ricardo, Ohlin). The structural funds of the EU are introduced in detail. Further
topics include the types and history of regions in Western, Central and Eastern Europe, regionalisation,
decentralisation and regionalism, rural development, the effect of agricultural policy on rural development and rural
development in Hungary, urban development, historical overview, differences between Western and Eastern Europe.
The main characteristics of infrastructure development are also introduced, as well as the types of borders, the
significance of borders in regional development and cross-border regional co-operations. Finally, the financial
instruments of regional development, advantages and disadvantages of various instruments, Hungarian practice,
distribution of resources among regions, institutional background and the system, management and financing of
Hungarian municipalities are presented.
Page 17/50.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT42N003
Environmental Management of Energy
2
Mid-term mark
Course code
Timetable information
EN04
TUE:10:15-12:00;
The aim of the subject is to introduce and expand the scope of sustainable energy and resource management both
on a domestic, EU and global scale, primarily from the corporate and policy aspects. The course will give an
overview of the energetic status and trends in the EU and the world. It will give an introduction to Energetic Life
Cycle Analysis. Business model of energetics and energy enterprises. EU energy policy, environmental and
sustainability strategies. Energy strategies and energy-saving programmes. A Sustainability analysis of the
environmental effects of the different kinds of sources of energy. Energetic interrelations in climate protection.
Pollutions from energetic sources in Hungary and the EU. State institutions of energy and environmental protection
policy. Summary and future perspectives.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT43A002
Sociology
2
Mid-term mark
Course code
Timetable information
Eras1
The aim of the course is to provide an insight into the processes and operations of modern societies and to assist in
the comprehension of the crucial problems of contemporary Hungarian society. The course offers fundamentals for
students interested in the social changes brought about in contemporary societies, and provides expertise on the
social conditions and consequences of scientific and economic activities that may be taken advantage of in the fields
of economics and engineering.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT43A066
The Cultural History of Recorded Music
2
Mid-term mark
Course code
Timetable information
ENG
Subject code
Subject name
ECTS credit
Grade type
BMEGT43A186
Philosophy of Art
5
Exam
Course code
Lecture
Eng1
Practice
Eng2
Timetable information
The aim of the course is to introduce students to the most important questions and problems in the philosophy of
art. We will also study the various methods and tools that enable us to understand and answer philosophical
questions and questions in communication theory concerning works of art. We will first look at some attempts to
capture and identify the essence of art and art genres, and then we will critically examine the nature of works of art,
along with questions about their creation and reception. Having covered the basic concepts, categories and theories
of art, we will concentrate on the specific aspects of the creation and reception of graphic, photographic, moving and
digital images. Among other issues we will discuss widely contested questions concerning bdquo;realismrdquo; and
bdquo;realistic depictionrdquo;. Although the course focuses on the fundamental issues in the philosophy of art, we
will also examine various issues of design.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Interdisciplinay Research in Communication
BMEGT43M100
5
Studies
Course code
Timetable information
Grade type
Exam
Eng
The history of research in communication studies has been strongly intertwined with questions concerning research
methodologies. The reason for this is that methods for studying communicative phenomena as communicative
phenomena have been developed over the course of rethinking and reformulating traditional disciplinary frameworks
according to new perspectives, new conceptual systems and new scientific methodologies. The aim of the course is
to provide students with an overview of these developments and to introduce them to current research
methodologies in communication studies. Theoretical issues will be examined in an interdisciplinary framework,
allowing students to study the results and methods of related disciplinary fields (e.g., sociology, anthropology,
cultural studies, cognitive, evolutionary and environmental psychology). Small groups of students will conduct
specific research projects of their choice during the course of the semester. Topics for discussion will be formulated
in relation to these research projects.
Page 18/50.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT43M410
Introduction to Cultural Studies
3
Mid-term mark
Course code
Timetable information
01
Cultural studies developed at the intersection of a number of different disciplines and theoretical standpoints. The
objective of the course is to introduce these theoretical roots and the current approaches, which have developed
within the framework of cultural studies. One of the most important elements of the development of approaches
within cultural studies is the critical reassessment of the positivist epistemological tradition according to which reality
can be experienced and understood in a relatively unproblematic fashion. Another defining element of a large portion
of work within cultural studies is its conceptualisation of culture as always political. According to this approach all
texts are inherently political as they inevitably bear the marks of structures of power and are at the centre of
struggles over meaning and signification. The problematization of knowledge structures and meaning has
contributed to opening up the analysis of reading and consumption towards a sensitivity for the possible independent
readings and interpretations created by readers, viewers and consumers based on their own social experience,
acknowledging the fact that these readers, viewers and consumers are capable of resisting the dominant readings of
different texts and can even construct counter-interpretations opposing the dominant ideology from within the very
texts aimed at supporting those dominant positions.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT51A001
Pedagogy (Digital Pedagogy)
2
Mid-term mark
Course code
Timetable information
Lecture
angol1
MON:14:15-16:00(QA127);
Lecture
angol2
TUE:10:15-12:00(QA127);
Pedagogy BMEGT51A001 Pedagogical terms. The structure of teaching and learning processes. self-regulated
learning and learning motivation. New possibilities for teaching and learning in the information technology age. The
educational application of networks in vocational education and training. Efficient methods of learning. The
possibilities of study management. Concepts of learning from ancient times ti our days. Prevailing trends in
pedagogy. Alternative possibilities. New developments in educational technology, modern media as technological
support of effective presentation. The tendencies of formal and non-formal education. The relationship of public
education, vocational education and training, and the world of work.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT51A014
Pedagogy
3
Mid-term mark
Course code
Timetable information
Lecture
angol2
TUE:10:15-12:00(QA127);
Lecture
angol1
MON:14:15-16:00(QA127);
Pedagogy BMEGT51A014 Pedagogical terms. The structure of teaching and learning processes. self-regulated
learning and learning motivation. New possibilities for teaching and learning in the information technology age. The
educational application of networks in vocational education and training. Efficient methods of learning. The
possibilities of study management. Concepts of learning from ancient times ti our days. Prevailing trends in
pedagogy. Alternative possibilities. New developments in educational technology, modern media as technological
support of effective presentation. The tendencies of formal and non-formal education. The relationship of public
education, vocational education and training, and the world of work.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
BMEGT51A017
Course code
angol
Subject name
ECTS credit
History of Education and Technologies of
2
Communication
Timetable information
Grade type
Mid-term mark
THU:10:15-12:00(QA127);
Pre-history: the language of gestures; cave paintings; the culture of primary orality. The Greek origins of Western
education: alphabetic literacy and the philosophy of Plato. Medieval culture: the decline and rebirth of literacy;
religious orders; universities in the Middle Ages. A social history of timekeeping: from natural time to the mechanical
clock. Image and word: woodcuts, etchings, photography. Pictorial meaning and word-meaning. The printing press;
early-modern school systems; the new concept of childhood; modern science and modern libraries. Telegraphy,
telephony, radio broadcasting: the beginnings of secondary orality. Comics: a new integration of image and word.
John Dewey's philosophy of education and communication. The epistemology and pedagogy of film; new iconic
culture. The end of the Gutenberg Galaxy: from Hajnal to McLuhan. The internet. Secondary literacy: e-mail and web
-based communication. Education and learning in the Information Society: networked knowledge, e-learning. The
Mobile Information Society. M-learning. New meanings of space and time.
Page 19/50.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT51A020
(Lifelong) Learning and Working Life
2
Mid-term mark
Course code
Timetable information
angol
TUE:12:15-14:00(QA121);
Emphasizing the development of independent problem-identifying and problem-solving skills by analyzing
Hungarian and European labour market challenges. In the framework of optional exercises and self-controlled
learning processes and by acquiring the steps of program planning concentrating on the field of technology, training
orientation possibilities are granted to participants on their fields of interest. During the training period we try to
present the practical applicability and large scale practice orientation through theoretical knowledge, wide-range
technological examples, case-studies and the analysis of changes. The participants of this course will gain the
necessary knowledge and competences for understanding the importance of sustaining the lifelong competitive
knowledge by making individual job and scope of activities analysis based on their own learning competences and
methods. They will understand the problems of learning skills as life skills, a new type of human capital, networking,
teamwork and working methods in the context of lifelong learning. What does it mean not only surviving but being
successful in the dynamically changing professional and global environment today? The development of modern,
modular and competence-based methods and curriculum, elaboration of methods, curriculum and programs that
allow individual and open learning ways. The thorough modernization of the system of trainersrsquo; training for
allowing educators to learn the skills, competences, methodological and practical knowledge which enables them the
successful transmission of knowledge.
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT52A001
Ergonomics
2
Mid-term mark
Course code
Timetable information
60e
Concept of Ergonomics: Man-machine systems, levels of compatibility, characteristics of the human and the
technical subsystems, significance and quality of user interface. Workplace design: Basic ergonomic principles and
design guidelines for different working environments: workshops in mechanical industry, traditional and open room
offices as well as other working places with VDUs, control rooms in the process industry, client service workplaces
(governmental organizations, banks and ICT companies). Human factors of safety. Human-computer interaction:
Analytical (cognitive walkthrough, guideline review and heuristic) and empirical methods of assessing usability of
software and other smart products. Website quality, web-mining. Industrial case studies with the INTERFACE
research and assessment workstation.
Faculty
Faculty of Economic and
Social Sciences
Course type
Practice
Faculty
Faculty of Economic and
Social Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEGT52V100
Fashion and the Psychology of Advertising
2
Mid-term mark
Course code
Timetable information
16e
Subject code
Subject name
ECTS credit
Grade type
BMEGT55A001
Business Law
2
Mid-term mark
Course code
Timetable information
A0
MON:10:15-12:00(QA202);
The aim of the course: Characteristics of the Anglo-Saxon and continental systems of business law. The
development of the system of the Hungarian business law. Basic legal institutions of the state to manage the
economics. Organisations and enterprises as the subjects of law: conceptional questions. International models of
company law. The development of the Hungarian company law. General rules of the Hungarian Company Act.
Internal organisation of companies. The law of company registration, the registration proceedings and the company
registry. Companies with a partnership profile. Companies limited by shares. Concept and types of securities.
Competition law. EU directives and regulations on companies and competition: their execution in the Hungarian law.
Faculty
Faculty of Economic and
Social Sciences
Course type
Practice
Subject code
Subject name
ECTS credit
Grade type
BMEGT638176
English for Transportation Engineers
2
Mid-term mark
Course code
Timetable information
k310_aJármű
WED:10:15-12:00;
Page 20/50.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT63A051
English for Engineers
2
Mid-term mark
Course code
Timetable information
Practice
k414_aTE
THU:14:15-15:00;
Practice
k410_01_aTE
THU:10:15-12:00;
Practice
k212_02_aTE
TUE:12:15-14:00;
Practice
k210_03_aTE
TUE:10:15-12:00;
Practice
k412_aTE
THU:12:15-14:00;
Practice
k408_aTE
THU:08:15-10:00;
Practice
k110_aTE
MON:10:15-12:00;
Practice
k312_aTE
WED:12:15-14:00;
Practice
k310_aTE
WED:10:15-12:00;
Practice
k308_aTE
WED:08:15-10:00;
Practice
k314_aTE
WED:14:15-16:00;
Practice
k112_aTE
MON:12:15-14:00;
Practice
k410_02_aTE
THU:10:15-12:00;
Practice
k210_01_aTE
TUE:10:15-12:00;
Practice
k210_02_aTE
TUE:10:15-12:00;
Practice
k212_01_aTE
TUE:12:15-14:00;
Practice
k208_02_aTE
TUE:08:15-10:00;
Practice
k208_01_aTE
TUE:08:15-10:00;
English for Engineers BMEGT63A051 Designed to meet the language needs of students in academic and
professional fields. Special emphasis is on understanding complex technical texts, as well as produc- ing clear
paragraphs and essays on certain technical topics. 2 hours/2 credits.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT63A061
Communication Skills - English
2
Mid-term mark
Course code
Timetable information
Practice
k212_aCS
TUE:12:15-14:00;
Practice
k312_aCS
WED:12:15-14:00;
Practice
k210_aCS
TUE:10:15-12:00;
Practice
k410
THU:10:15-12:00;
Practice
k310_01_aCS
WED:10:15-12:00;
Practice
k314_aCS
WED:14:15-16:00;
Practice
k110_aCS
MON:10:15-12:00;
Practice
k310_02_aCS
WED:10:15-12:00;
Practice
k208_aCs
TUE:08:15-10:00;
Practice
k308_aCS
WED:08:15-10:00;
Communication Skills - English BMEGT63A061 It is designed to meet the language needs of students in aca- demic
and professional fields. Special emphasis is on the language of meetings and discussions, oral presentation and
summary writing. 2 hours/2 credits.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT63A081
Manager Communication - English
2
Mid-term mark
Course code
Timetable information
Practice
k310_aMC
WED:10:15-12:00;
Practice
k312_aMC
WED:12:15-14:00;
Practice
k412_aMC
THU:12:15-14:00;
Practice
k414_aMC
THU:14:15-15:00;
Practice
k410_aMC
THU:10:15-12:00;
Practice
k210_aMC
TUE:10:15-12:00;
Practice
k314_aMC
WED:14:15-16:00;
Manager Communication BMEGT63A081 Designed to establish and update basic language skills, and
competences required by acting in management fields. 2 hours/2credits
Page 21/50.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT63A091
Crosscultural Communication - English
2
Mid-term mark
Course code
Timetable information
Practice
k414_aXC
THU:14:15-15:00;
Practice
k112_aXC
Practice
k312_aXC
WED:12:15-14:00;
Practice
k410_aXC
THU:10:15-12:00;
Practice
k212_aXC
TUE:12:15-14:00;
Practice
k308_aXC
WED:08:15-10:00;
Practice
k208_aXC
TUE:08:15-10:00;
Crosscultural Communication BMEGT63A091 Designed to make students aware of cultural differences, develop
their intercultural competencies. Special emphasis is on verbal and non-verbal communication, language di- versity,
and socio-cultural factors. 2 hours/2 credits.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT63MAEU
Specific Language Features in the EU - in English
2
Mid-term mark
Course code
Timetable information
Practice
k212_aEU
TUE:12:15-14:00;
Practice
k210_aEU
TUE:10:15-12:00;
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT63MAS3
LSP - Architecture in English
2
Mid-term mark
Course code
Timetable information
Practice
k314_aEP
WED:14:15-16:00;
Practice
k414_aEP
THU:14:15-15:00;
Faculty
Faculty of Economic and
Social Sciences
Course type
Practice
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
LSP - Chemical Technology and Biotechnology in
BMEGT63MAS4
2
English
Course code
Timetable information
k112_aVEGY
Grade type
Mid-term mark
MON:12:15-14:00;
Subject code
Subject name
ECTS credit
Grade type
BMEGT658151
Beginners' Hungarian Course
4
Mid-term mark
Course code
Timetable information
Practice
K14Cs14_mke
TUE:14:15-16:00; THU:14:15-16:00;
Practice
K12Cs12_mke
TUE:12:15-14:00; THU:12:15-14:00;
Practice
K8Sz14_mke
TUE:08:15-10:00; WED:14:15-16:00;
The course focuses on the basic elements of Hungarian grammar: the sound-system and spelling; some elements
of morphology; most important syntactic structures. The students acquire a basic vocabulary and a number of
idiomatic phrases of everyday Hungarian, and develop skills to enable them to communicate in simple routine tasks.
Faculty
Faculty of Economic and
Social Sciences
Course type
Practice
Subject code
Subject name
ECTS credit
Grade type
BMEGT658152
Intermediate Hungarian Course
4
Mid-term mark
Course code
Timetable information
h12cs10_Int.Hun
The course is designed for students who have already studied Beginnersrsquo; Hungarian (BMEGT658151) and
acquired the bases of the language. The teaching material includes the more complex syntactic structures and the
inflectional system, the use of tenses, and the most important elements of composing texts in Hungarian. Topics:
Visiting friends and family; Family relations; Food and drink, shopping for food, cooking and baking; Restaurants
ndash; eating out; Free time activities: travelling around, getting to know famous Hungarian cities; Going to the
cinema and theatre; Public transport in Budapest; Driving in Hungary.
Page 22/50.
Faculty
Faculty of Economic and
Social Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEGT658361
Hungarian Culture (in English)
2
Mid-term mark
Course code
Timetable information
Practice
k310_01
WED:10:15-12:00;
Practice
k310_02
WED:10:15-12:00;
Practice
k110
MON:10:15-12:00;
This interdisciplinary course covers a variety of interconnected fields to present a comprehensive survey of
Hungarian culture and history. The course is thematically organised and focuses on Hungarian culture as it is
expressed through the arts (fine arts, literature, music). Special emphasis is given to the history of Hungarian
thought from early to recent times. The concepts of Hungarian poets, writers, composers, and scientists are
considered in their historical and social context.
Faculty
Faculty of Transportation
Engineering and Vehicle
Engineering
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEKOEAA627
Production Logistic
4
Mid-term mark
Course code
Laboratory
ERA-LAB1
Lecture
ERA-EA1
Practice
ERA-GYAK1
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Practice
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMETE11AF05
Introduction to Solid State Physics
2
Exam
Course code
Timetable information
EN0
MON:14:15-16:00;
Subject code
Subject name
ECTS credit
Grade type
BMETE11AF06
Practical Course in Solid State Physics
2
Mid-term mark
Course code
Timetable information
EN1
WED:10:15-12:00;
Subject code
Subject name
ECTS credit
Grade type
BMETE11AX14
Nobel Prize Physics in Everyday Application
2
Exam
Course code
Timetable information
EN0
Scope: The amazing and explosive development of technology is our everyday experience in various fields of life
from informatics and medicine. It is less well known how this development is supported by scientific research. As an
example a notebook computer applies numerous Nobel Prize awarded ideas, like the integrated circuits (2000),
semiconducting laser (2000), liquid crystal display (1991), CCD camera (2009), GMR sensor of the hard disk (2007)
and several further achievements from earlier days of quantum mechanics and solid state physics. The course is
intended to give insight to a range of amazing everyday applications that are related to various Nobel Prizes with a
special focus on recent achievements. The topics below are reviewed at a simplified level building on high school
knowledge of physics. Syllabus:- Textbook applications from the early days of Nobel prizes: wireless broadcasting, X
-rays, radioactivity, etc.- Optics in everyday application: lasers, CCD cameras, optical fibers, liquid crystal displays,
holography- Quantum physics: from atom models to quantum communication- Measurements with utmost precision:
application of Einstein's theory of relativity in GPS systems, atomic clocks, Michelson interferometry, etc.- Nuclear
technology from power plants to medical and archeological applications- Advanced physics in medicine: magnetic
resonance imaging, computer tomography and positron emission tomography- Semiconductors from the first
transistor to mobile communication- Fundamental tools of nanotechnology (scanning probe microscopes, electron
beam lithography, etc)- Spintronics from the discovery of electron spin to everyday application in data storage
devices- Exotic states of solids in everyday application: superconducting magnets and levitated trains- Towards
quot;all carbon electronicsquot;: envisioned and already realized applications of graphene
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE11AX21
Physics 1
4
Exam
Course code
Timetable information
Lecture
VE0
MON:15:15-17:00(T605); FRI:08:15-10:00(T603);
Only for examination
VVE0
Page 23/50.
Practice
Faculty
Faculty of Natural
Sciences
Course type
Lecture
VE1
Subject code
Subject name
ECTS credit
Grade type
BMETE11AX23
Physics 1i
4
Exam
Course code
Lecture
IE0
IVE0
Practice
IE1
Practice
IT1
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Timetable information
IT0
Only for examination
Faculty
Faculty of Natural
Sciences
Course type
FRI:08:15-10:00(T603);
WED:08:15-10:00(T603); WED:12:15-14:00(T601/2);
WED:08:15-10:00(T603);
Subject code
Subject name
ECTS credit
Grade type
BMETE12AF05
Physics of Vacuum
3
Mid-term mark
Course code
Timetable information
EN0
Subject code
Subject name
ECTS credit
Grade type
BMETE12MF25
Spectroscopy and Structure of Matter
3
Exam
Course code
Timetable information
EN0
FRI:08:15-10:00;
Subject code
Subject name
ECTS credit
Grade type
BMETE12MF28
Vacuum Physics and Technology
3
Exam
Course code
Timetable information
En0
Subject code
Subject name
ECTS credit
Grade type
BMETE12MF37
Physical Optics
5
Exam
Course code
Timetable information
EN0
Subject code
Subject name
ECTS credit
Grade type
BMETE12MF46
Design and Construction of Laser Systems
2
Mid-term mark
Course code
Timetable information
EN0
Subject code
Subject name
ECTS credit
Grade type
BMETE12MX00
Laser Physics
4
Exam
Course code
Timetable information
Lecture
A0
MON:12:15-14:00(KF82); WED:14:15-16:00(KF82);
Practice
A1
Practice
A2
Theory of laser oscillation, characteristics of laser light, laser applications. Interaction of photons with atoms,
quantummechanical formulations, line-broadening mechanisms, coherent amplification, optical resonator, conditions
for laser oscillation. Properties of laser beams: monochromacity, coherence, directionality, brightness. Laser types:
solid-state, semiconductor, gas, fluid (dye) and miscellaneous. Laser applications: industrial, medical,
communication, measurement technique.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE14AX15
Physics 1 - Mechanics
4
Exam
Course code
Timetable information
C0A
Page 24/50.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE15AF27
Quantum Mechanics 1
2
Exam
Course code
Timetable information
T0
TUE:12:15-14:00(F3213);
Subject code
Subject name
ECTS credit
Grade type
BMETE15AX03
Physics A3
2
Exam
Course code
Timetable information
GA
TUE:12:15-14:00(D515);
This course provides an introduction to the fascinating world of quantum mechanics and atomic physics. The
following topics will be discussed: Experimental background, blackbody radiation, photoelectric effect, Compton
scattering, spectral lines of atoms, Franck-Hertz experiment. Bohr's model of hydrogen. Schrouml;dinger equation.
Harmonic oscillator. Quantum theory of angular momentum, spin. Hydrogen atom. Periodic table. Many-electron
systems: Helium atom, Hartree method, Hartree-Fock method. Introduction to solid state physics. Electronic
properties of solid states.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
BMETE15MF10
Course code
Subject name
ECTS credit
Random Matrix Theory and Its Physical
3
Applications
Timetable information
T0
Grade type
Exam
TUE:08:15-10:00;
Random matrix theory provides an insight of how one can achieve information relatively simply about systems
having very complex behavior. The subject based on the knowledge acquired in quantum mechanics and statistical
physics together with some knowledge of probability theory provides an overview of random matrix theory. The
Dyson ensembles are defined with their numerous characteristics, e.g. the spacing distribution, the two-level
correlation function and other quantities derived thereof. Then the thermodynamic model of levels is obtained
together with several models of transition problems using level dynamics. Among the physical applications the
universality classes are identified in relation to classically integrable and chaotic systems. The problem of
decoherence is studied as well. Then the universal conductance fluctuations in quasi-onedimensional disordered
conductors are investigated. Other models are investigated: the disorder driven Anderson transition and the random
interaction model of quantum dot conductance in the Coulomb-blockade regime. We use random matrix models to
investigate chirality in two-dimensional and Dirac systems and the normal-superconductor interface. The remaining
time we cover problems that do not belong to strictly physical systems: EEG signal analysis, covariance in the stock
share prize fluctuations, mass transport fluctuations, etc.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE15MF15
Foundations of Density Functional Theory
3
Exam
Course code
Timetable information
T0
TUE:10:15-12:00;
The Density Functional Theory is the most widely used method perform advanced calculations for many-electron
systems, such as metals, semiconductors, conductors, as well as molecules and atoms. In this course, the
mathematical foundations of the theory is discussed in details: Many-body Fock space and density operator.
Reduced density operators. Exact equations and the independent particle approximation for the interacting electron
gas in the density operator picture. N-representability. The Fermi hole and localized orbitals. The electron density.
Katorsquo;s theorem and cusp conditions. The v- and N-representability of the electron density. The HohenbergKohn theorems. Existence of the universal density functional. Levyrsquo;s constrained search. Scaling properties.
The Kohn-Sham equations. Fractional occupation numbers. The chemical potential and electronnegativity.
Approximate methods. The gradient expansion. Recent functionals.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE15MF38
Complex Networks
3
Exam
Course code
Timetable information
E0
TUE:14:15-16:00;
The aim of the course is to give an introduction to the rapidly developing interdisciplinary field of complex networks.
Complex systems and their scaffold. Percolation theory. Erdős-Reacute;nyi and small world graphs. Scale free
networks. The configuration model. Networks growth models. Local and hierarchical structures. Communities.
Spreading. Temporal networks. Social networks. Economic networks. Ecological networks. Project presentation.
Page 25/50.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE47MC01
Introduction to Cognitive Science
3
Mid-term mark
Course code
Timetable information
T0_04
Fundamental concepts of cognitive science: mental representation, computers, and information processing. Brain
and cognition; the role of neuroscience. Cognitive architectures: modularity and domain-general systems.
Propositional and schematic representation; schemas, mental images, and skill acquisition. Connectionism: artificial
neural networks as models of the mind. Knowledge representation in artificial intelligence. Language and cognition;
knowledge of language; the problem of meaning. The role of philosophy: the nature of mind, knowledge and
consciousness. Interpreted Cognitive Science: neurobiology, evolution and social interpretation. Adaptation and
knowledge. Skill, competences, and emotions in knowledge. Applied cognitive science: artificial intelligence; human
information processing in human-machine interaction.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE47MC15
Pragmatics and Cognitive Linguistics
3
Mid-term mark
Course code
Timetable information
T0_05
Subject code
Subject name
ECTS credit
Grade type
BMETE47MC38
Statistics and Experimental Design
5
Exam
Course code
Laboratory
T2_01
Lecture
T0_01
Timetable information
The course introduces students to the general principles of experimental science and, within that, the experimental
paradigms and the methods of statistical data analysis used in psychology. The lab sessions involve practical
exercises using statistical software. 1. The principles of experimental design and experimental paradigms in
psychology. 2. Descriptive statistics. 3. Hypothesis testing and the z-distribution. 4. Statistical power and confidence
intervals. 5. Correlation analysis. 7. Linear regression models. 8. Parametric statistics I: the t-test. 9. Parametric
statistics II: ANOVA models. 10. Tests with nominal data. 11. Non-parametric tests and data transformation. 12.
MANOVA, ANCOVA.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE90AX00
Mathematics A1a - Calculus
6
Exam
Course code
Timetable information
Lecture
EN0-AV0
WED:16:15-19:00(K375); THU:16:15-17:00(K375);
Lecture
EN0-VEGE-E
Lecture
EN0-EA0
Only for examination
EAV
Practice
EN1-EA1
Practice
EN1-AV1
Practice
EN1-VEGE-G
WED:16:15-19:00(K375); THU:16:15-19:00(K375);
THU:17:15-19:00(K375);
Real numbers. Complex algebra. Vector algebra. Elementary operations on sets. Series of numbers. Functions of
one variable. Differentiation. Rules of differentiation. Newton's method. Applications of differentiation. Integration.
Definite integral, indefinite integral. Properties and evaluation of the definite integral. Techniques of integration.
Applications of the definite integral.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE90AX06
Descriptive Geometry
3
Exam
Course code
Timetable information
Lecture
EN0-A0
TUE:14:15-16:00(D316A);
Practice
EN1-A1
THU:12:15-14:00(D316A);
Mutual positions of spatial elements. Orthogonal projections in Monge's representation, auxiliary projections.
Intersection of polygons and polyhedra. True measurements of segments and angles. Perpendicular lines and
planes. Projection of the circle. Representation of rotational surfaces and their intersections with a plane.
Axonometric view. Construction of the helix.
Page 26/50.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE90AX07
Mathematics A3 for Civil Engineers
4
Exam
Course code
Lecture
EN0-EA0
Only for examination
EAV
Practice
EN1-EA1
Timetable information
Differential geometry of curves and surfaces. Scalar and vector fields. Potential theory. Classification of differential
equations. Linear differential equation of the second order. Nonlinear differential equations. Systems of linear
differential equations. The concept of probability. Discrete random variables an their distributions. Random variables
of continuous distribution. Two-dimensional distributions, correlation and regression. Basic notions of mathematical
statistics.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE90AX09
Mathematics A3 for Electrical Engineers
4
Exam
Course code
Timetable information
EN0-A0
Only for examination
AV
Practice
EN1-A1
Differential geometry of curves and surfaces. Tangent and normal vector, curvature. Length of curves. Tangent
plane, surface measure. Scalar and vector fields. Differentiation of vector fields, divergence and curl. Line and
surface integrals. Potential theory. Conservative fields, potential. Independence of line integrals of the path.
Theorems of Gauss and Stokes, the Green formulae. Examples and applications. Complex functions. Elementary
functions, limit and continuity. Differentiation of complex functions, Cauchy-Riemann equations, harmonic functions.
Complex line integrals. The fundamental theorem of function theory. Regular functions, independence of line
integrals of the path. Cauchy's formulae, Liouville's theorem. Complex power series. Analytic functions, Taylor
expansion. Classification of singularities, meromorphic functions, Laurent series. Residual calculation of selected
integrals. Laplace transform. Definition and elementary rules. The Laplace transform of derivatives. Transforms of
elementary functions. The inversion formula. Transfer function. Classification of differential equations. Existence and
uniqueness of solutions. The homogeneous linear equation of first order. Problems leading to ordinary differential
equations. Electrical networks, reduction of higher order equations and systems to first order systems.The linear
equation of second order. Harmonic oscillators. Damped and forced oscillations. Variation of constants, the inhomogeneous equation. General solution via convolution, the method of Laplace transform. Nonlinear differential
equations. Autonomous equations, separation of variables. Nonlinear vibrations, solution by expansion. Numerical
solution. Linear differential equations. Solving linear systems with constant coefficients in the case of different
eigenvalues. The inhomogeneous problem, Laplace transform. Stability.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE90AX10
Mathematics A3 for Mechanical Engineers
4
Mid-term mark
Course code
Timetable information
Lecture
EN0-AV0
TUE:08:15-10:00(D515);
Practice
EN1-AV1
THU:14:15-16:00(D515);
Classification of differential equations. Separable ordinary differential equations, linear equations with constant and
variable coefficients, systems of linear differential equations with constant coefficients. Some applications of ODEs.
Scalar and vector fields. Line and surface integrals. Divergence and curl, theorems of Gauss and Stokes, Green
formulae. Conservative vector fields, potentials. Some applications of vector analysis. Software applications for
solving some elementary problems.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Mathematics A3 for Chemical Engineers and
BMETE90AX18
4
Bioengineers
Course code
Timetable information
Lecture
EN0-CA0
WED:08:15-10:00; THU:14:15-16:00;
Practice
EN1-CA1
WED:08:15-10:00; THU:14:15-16:00;
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Grade type
Exam
Subject code
Subject name
ECTS credit
Grade type
BMETE90AX21
Calculus 1 for Informaticians
6
Exam
Course code
Timetable information
EN0-EB0
Page 27/50.
Practice
Faculty
Faculty of Natural
Sciences
Course type
EN1-EB1
Subject code
Subject name
ECTS credit
Grade type
BMETE90AX33
Mathematics EP1
4
Exam
Course code
Lecture
EN0
Only for examination
EPV
Practice
EN1
Faculty
Faculty of Natural
Sciences
Course type
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMETE90AX51
Mathematics A4 - Probability Theory
4
Exam
Course code
Lecture
EN0-A0
Practice
EN1-A1
Timetable information
Notion of probability. Conditional probability. Independence of events. Discrete random variables and their
distributions (discrete uniform distribution, classical problems, combinatorial methods, indicator distribution, binomial
distribution, sampling with/without replacement, hypergeometrical distribution, Poisson distribution as limit of
binomial distributions, geometric distribution as model of a discrete memoryless waiting time). Continuous random
variables and their distributions (uniform distribution on an interval, exponential distribution as model of a continuous
memoryless waiting time, standard normal distribution). Parameters of distributions (expected value, median, mode,
moments, variance, standard deviation). Two-dimensional distributions. Conditional distributions, independent
random variables. Covariance, correlation coefficient. Regression. Transformations of distributions. One- and twodimensional normal distributions. Laws of large numbers, DeMoivre-Laplace limit theorem, central limit theorem.
Some statistical notions. Computer simulation, applications.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE90MX33
Mathematics MSc for Civil Engineers
3
Exam
Course code
Lecture
EN0-EA0
Only for examination
EAV
Practice
EN1-EA1
Faculty
Faculty of Natural
Sciences
Course type
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMETE90MX38
Advanced Mathematics for Electrical Engineers B
6
Exam
Course code
Lecture
EN0-A0
Practice
EN1-A1
Timetable information
Combinatorial Optimization: Basic concepts of linear programming, Farkas lemma, duality. Integer programming,
total unimodularity, applications to matchings in bipartite graphs and network flows.Basic notions of matroid theory,
duality, minors, direct sum, sum. Algorithms for matroids. Matroids and graphs, linear representation, Tutte's
theorems. Approximation algorithms (set cover, Steiner-trees, travelling salesman problem). Scheduling algorithms
(list scheduling, the algorithms of Hu and Coffman and Graham). Engineering applications: design of reliable
networks, design of very large scale integrated (VLSI) circuits, the classical theory of electric networks. Stochastics:
Review of basic probability theory: random variables, distribution, expectation, covariance matrix, important types of
distributions. Generating and characteristic functions and their applications: limit theorems and large deviations
(Bernstein inequality, Chernoff bound, Kramer's theorem). Basics of mathematical statistics: samples, estimates,
hypotheses, important tests, regressions. Basics of stochastic processes: Markov chains and Markov processes.
Markov chains with finite state space: irreducibility, periodicity, linear algebraic tools, stationary measures,
ergodicity,reversibility, MCMC. Chains with countable state space: transience, recurrence. Application to birth and
death processes and random walks. Basics of continuous time Markov chains: Poisson process, semigroups.
Weakly stationary processes: spectral theory, Gauss processes, interpolation, prediction and filtering.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE90MX39
Advanced Mathematics for Electrical Engineers C
6
Exam
Course code
Lecture
EN0-CA0
Practice
EN1-CA1
Timetable information
Advanced linear algebra: Survey of basic linear algebra. Moor-Penrose inverse and applications. Norms and matrix
Page 28/50.
functions. Matrices with nonnegative entries. Singular value decomposition, its applications. QR decomposition.
Linear matrix inequalities. Further applications of linear algebra in informatics. Analysis: Numerical optimization,
numerical methods. Hardy spaces. Poisson- and Couchy integrals. Paley-Wiener theorem. Wavelet transformation,
wavelet analysis. Elements of differential geometry. Lie derivation. Frobenius theorem. Banach-, Brouwer- and
Schauder fixpoint theorems. Pontryagin maximum principle. Applications. Bellmann equations, Tyihonov functional.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Advanced Mathematics for Electrical Engineers BMETE90MX55
3
Stochastics
Course code
Timetable information
Lecture
A0
Practice
A1
Faculty
Faculty of Natural
Sciences
Course type
Grade type
Mid-term mark
Subject code
Subject name
ECTS credit
Grade type
BMETE91AX30
Numerical Methods for Engineers
2
Mid-term mark
Course code
Lecture
EN0-T0
Practice
EN1-T1
Timetable information
Basic notions of numerical computations (types of errors, error propagation). Fundamentals of metric spaces,
Banach's fixed point theorem. Iterative methods for solving nonlinear equations and their convergence properties
(regula falsi, Newton's method, sucessive approximation). Extreme value problems (gradient method e.g. for
nonlinear systems of equations). Systems of linear equations (some iterative methods, least square solution for overand underdetermined systems). Orthogonal systems of functions (dot product for functions, orthogonal polynomial
systems for different dot products, Chebyshev- and Legendre polynomials). Interpolation and approximation of
functions (by polynomials, by orthogonal system of functions). Numerical differentiation and integration (Gauss
quadratures).Remark: 1) By solving the homework-problems, students can also practice their computerprogramming skills.2) Most of the computer algebra systems (Maple, Matlab, Mathematica) offer solutions for the
problems described above. These may be efficient, but it can also happen, they are not, or we have to choose which
program to use, or just we do not get the result, we are waiting for. Among other things, this course gives some idea,
where to look for the critical points.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE927206
'Mathematica' with Applications
3
Mid-term mark
Course code
Timetable information
TE
Meeting the program. Basic data structure. Assigments. External connections. How to get information. Functions,
equations, graphics, animation. Linear algebra. Calculus. Applications outside mathematics. The students will work
on an application (chosen by themselves) of the program during the semester independently and they present it at
the end in a lecture.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE92MC15
Mathematics
5
Exam
Course code
Lecture
T0
Practice
T1
Timetable information
The aim of the course is to give a nontechnical introduction into higher mathematics via lectures and via reading
texts containing the use of mathematics in the different parts of cognitive science. Instead of calculation methods
logical and philosophical connections will be emphasized. Technical and geometrical aspects will not receive
emphasis, however, we try to analyse the meaning of notions within and, if possible, outside mathematics. Instead of
proofs examples will be shown together with applications and with historical remarks. A shortened introduction to the
classical material of calculus will be followed by introductions to areas which cannot be absolutely neglected by
someone interested in cognitive science: dynamical systems, graphs and networks, algorithms and the use of
computers in mathematics. Topics: Fundamental notions of set theory and logics. - A review of the notion of
numbers. - Relations and functions. The connection between operations and relations and between functions.
Operations on functions - Series and infinite sums. Convergence, limit. - Limit and continuity of real variable real
valued functions. - Differentiability of real variable real valued functions. Tangent. Rules of derivation. - Applications
of calculus: analysis of functions. Monotonicity, maxima and minima. - Integration: antiderivative, definite integral.
The fundamental theorem of calculus. - Solving simple differential equations . - On discrete dynamical systems.
Simple models with chaotic behavior. - On graphs and networks. Their rules of modelling. - Algorithms. - Applying
mathematical program packages.
Page 29/50.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE92MC20
Statistics and Methodology
5
Exam
Course code
Laboratory
T1
Lecture
T0
Timetable information
All the major areas of statistics (such as estimation, hypothesis testing, regression) will be treated with special
reference to the assumptions usually assumed in introductory courses (such as normality, linearity, stationarity and
scalar valuedness), which, however, are never fulfilled in real applications. How to test these assumptions and what
to do if they are violated - these questions will act as guides in the course. Topics: Random variables. Distributions.
Generating random numbers. - Sampling. - Methods of estimation. - Confidence intervals. - Testing hypotheses.
Independence, normality. - Regression and interpolation. - Getting and importing data. - Cluster analysis. Experimental designs.- Applications. - Writing a report. Depending on the circumstances the calculations will either
be done using Mathematica, or EXCEL, or SPSS.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE92MM00
Fourier Analysis and Function Series
5
Exam
Course code
Lecture
T0
Practice
T1
Timetable information
Completeness of the trigonometric system. Fourier series, Parseval identity. Systems of orthogonal functions,
Legendre polynomials, Haar and Rademacher systems. Introduction to wavelets, wavelet orthonormal systems.
Fourier transform, Laplace transform, applications. Convergence of Fourier series: Dirichlet kernel, Dini and Lischitz
convergence tests. Fejerrsquo;s example of divergent Fourier series. Fejer and Abel-Poisson summation.
Weierstrass-Stone theorem, applications. Best approximation in Hilbert spaces. Muuml;ntz theorem on the density of
lacunary polynomials. Approximations by linear operators, Lagrange interpolation, Lozinski-Harshiladze theorem.
Approximation by polynomials, theorems of Jackson. Positive linear operators Korovkin theorem, Bernstein
polynomials, Hermite-Fejer operator. Spline approximation, convergence, B-splines. References:N.I. Ahijezer:
Előadaacute;sok az approximaacute;cioacute; elmeacute;leteacute;ről, Akadeacute;miai Kiadoacute;, Budapest,
1951Szőkefalvi-Nagy Beacute;la: Valoacute;s fuuml;ggveacute;nyek eacute;s fuuml;ggveacute;nysorok,
Tankouml;nyvkiadoacute;, Budapest, 1975G. Lorentz, M.V. Makovoz: Constructive Approximation, Springer,
1996M.J.D. Powell: Approximation Theory and methods, Cambridge University Press, 1981
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE92MX25
Fourier Analysis for Engineers
3
Mid-term mark
Course code
Lecture
T0
Practice
T1
Timetable information
Fourier series on finite and infinite intervals, summation methods, function spaces, convergence. Application to
partial differential equations. Fourier transform. Distributions. Application to differential equations and equation
systems. Introduction to wavelets. Multiresolution analysis and wavelet transform.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE93MM14
Dynamic Programming in Financial Mathematics
3
Exam
Course code
Timetable information
T0
Optimal strategies, discrete models. Fundamental principle of dynamic programming. Favourable and unfavourable
games, brave and cautious strategies. Optimal parking, planning of large purchase. Lagrangean mechanics,
Hamilton-Jacobi equation. Viscous approximation, Hopf-Cole transformation, Hopf-Lax infimum-convolution formula.
Deterministic optimal control, startegy of optimal investment, viscous solutions of generalized Hamilton-Jacobi
equations. Pontryaginrsquo;s maximum principle, searching conditional extreme values in function spaces. Optimal
control of stochastic systems, Hamilton-Jacobi-Bellman equation. References: Financial mathematics,
www.math.bme.hu/~jofriL.C. Evans: Partial Differential Equations, AMS, Providence, R.I., 1998
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE94MM00
Differential Geometry and Topology
5
Exam
Course code
Lecture
A0
Practice
A1
Timetable information
Page 30/50.
Smooth manifolds, differential forms, exterior derivation, Lie-derivation. Stokes' theorem, de Rham cohomology,
Mayerndash;Vietoris exact sequence, Poincareacute;-duality. Riemannian manifolds, Levindash;Civitaacute;
connection, curvature tensor, spaces of constant curvature. Geodesics, exponential map, geodesic completeness,
the Hopfndash;Rinow theorem, Jacobi fields, the Cartanndash;Hadamard theorem, Bonnet's theorem. References:J.
M. Lee: Riemannian Manifolds: an Introduction to Curvature, Graduate Texts in Mathematics 176, Springer Verlag P.
Petersen: Riemannian Geometry, Graduate Texts in Mathematics 171, Springer Verlag J. Cheeger, D. Ebin:
Comparison Theorems in Riemannian Geometry, North-Holland Publishing Company, Vol. 9, 1975Szőkefalvi-Nagy
Gy., Geheacute;r L., Nagy P.: Differenciaacute;lgeometria, Műszaki Kouml;nyvkiadoacute;, Budapest, 1979
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE95AM12
Creating Mathematical Models
2
Mid-term mark
Course code
Timetable information
EN0
TUE:16:15-18:00;
Subject code
Subject name
ECTS credit
Grade type
BMETE95MM01
Mathematical Modelling Seminar 1
1
Mid-term mark
Course code
Timetable information
EN0
TUE:16:15-18:00;
The aim of the seminar to present case studies on results, methods and problems from applied mathematics for
promoting(i) the spreading of knowledge and culture of applied mathematics;(ii) the development of the connections
and cooperation of students and professors of the Mathematical Institute, on the one hand, and of personal,
researchers of other departments of the university or of other firms, interested in the applications of mathematics.The
speakers talk about problems arising in their work. They are either applied mathematicians or non-mathematicians,
during whose work the mathematical problems arise.An additional aim of this course to make it possible for
interested students to get involved in the works presented for also promoting their long-range carrier by building
contacts that can lead for finding appropriate jobs after finishing the university.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE95MM02
Mathematical Modelling Seminar 2
1
Mid-term mark
Course code
Timetable information
T0
TUE:16:15-18:00;
The aim of the seminar to present case studies on results, methods and problems from applied mathematics for
promoting(i) the spreading of knowledge and culture of applied mathematics;(ii) the development of the connections
and cooperation of students and professors of the Mathematical Institute, on the one hand, and of personal,
researchers of other departments of the university or of other firms, interested in the applications of mathematics.The
speakers talk about problems arising in their work. They are either applied mathematicians or non-mathematicians,
during whose work the mathematical problems arise.An additional aim of this course to make it possible for
interested students to get involved in the works presented for also promoting their long-range carrier by building
contacts that can lead for finding appropriate jobs after finishing the university.
Faculty
Faculty of Natural
Sciences
Course type
Subject code
Subject name
ECTS credit
Grade type
BMETE95MM15
Multivariate Statistics
5
Exam
Course code
Lecture
EN0
Practice
EN1
Timetable information
Multivariate central limit theorem and its applications. Density, spectra and asymptotic distribution of random
matrices in multivariate statistics (Wishart-, Wigner-matrices). How to use separation theorems for eigenvalues and
singular values in the principal component, factor, and correspondence analysis. Factor analysis as low rank
representation, relatios between representations and metric clustering algorithms. Methods of classification:
discriminatory analysis, hierarchical, k-means, and graph theoretical methods of cluster analysis. Spectra and
testable parameters of graphs.Algorithmic models, statistical learning. EM algorithm, ACE algorithm,
Kaplanndash;Meier estimates. Resampling methods: bootstrap and jackknife. Applications in data mining,
randomized methods for large matrices. Mastering the multivariate statistical methods and their nomenclature by
means of a program package (SPSS or S+), application oriented interpretation of the output data. References:Bolla,
M., Kraacute;mli, A.: Theory of statistical inference (in Hungarian), Typotex, Budapest, 2005Mardia, K. V:, Kent, J.
T., Bibby, J. M.: Multivariate Analysis, Academic Press, Elsevier Science, 1979, 2003
Page 31/50.
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
BMETE95MM18
Course code
Subject name
ECTS credit
Multivariate Statistics with Applications in
2
Economy
Timetable information
Grade type
Mid-term mark
EN0
Multivariate central limit theorem and its applications. Density, spectra and asymptotic distribution of random
matrices in multivariate statistics (Wishart-, Wigner-matrices). How to use separation theorems for eigenvalues and
singular values in the principal component, factor, and correspondence analysis. Factor analysis as low rank
representation, relatios between representations and metric clustering algorithms. Methods of classification:
discriminatory analysis, hierarchical, k-means, and graph theoretical methods of cluster analysis. Spectra and
testable parameters of graphs.Algorithmic models, statistical learning. EM algorithm, ACE algorithm,
Kaplanndash;Meier estimates. Resampling methods: bootstrap and jackknife. Applications in data mining,
randomized methods for large matrices. Mastering the multivariate statistical methods and their nomenclature by
means of a program package (SPSS or S+), application oriented interpretation of the output data. References:Bolla,
M., Kraacute;mli, A.: Theory of statistical inference (in Hungarian), Typotex, Budapest, 2005Mardia, K. V:, Kent, J.
T., Bibby, J. M.: Multivariate Analysis, Academic Press, Elsevier Science, 1979, 2003
Faculty
Faculty of Natural
Sciences
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMETE95MM20
Nonparametric Statistics
3
Exam
Course code
Timetable information
EN0
Density function estimation. Distribution estimation, L1 error. Histogram. Estimates by kernel function. Regression
function estimation. Least square error. Regression function. Partition, kernel function, nearest neighbour estimates.
Empirical error minimization. Pattern recognition. Error probability. Bayes decision rule. Partition, kernel function,
nearest neighbour methods. Empirical error minimization. Portfolio strategies. Log-optimal, empirical portfolio
strategies. Transaction cost. References:L. Devroye, L. Gyouml;rfi: (1985) Nonparametric Density Estimation: the,
Wiley. Russian translation: Mir, 1988L. Devroye, L. Gyouml;rfi, G. Lugosi: (1996) Probabilistc Theory of Pattern
Recognition, Springer, New YorkL. Gyouml;rfi, M. Kohler, A. Krzyzak, H. Walk: (2002) A Distribution-Free Theory of
Nonparametric Regression, Springer, New York
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVEBEA301
Biochemistry
4
Exam
Course code
Timetable information
A1
MON:15:15-18:00(CH301);
Principles of bioenergetics. Enzymes. Energy sources and main metabolic pathways of living organisms.
Carbohydrate metabolism. Lipid metabolism. Protein and amino acid metabolism. Metabolism of nucleotides.
Integration of metabolism. Generation and storage of metabolic energy. Citric acid cycle. Genetic information
(storage, transmission and expression). The central dogma of molecular biology. Alcohol and drug metabolism. The
regulation of metabolic pathways.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVEFAA306
Polymers
5
Mid-term mark
Course code
Timetable information
Laboratory
laboratory
MON:10:15-12:00(HF2);
Lecture
theory
MON:10:15-12:00(HF2);
Definitions, classes of plastics, most important properties. Radical polymerization. Polycondensation, cross-linked
polymers. Models of polymer physics. Polymer solutions. Phases and physical states. Behaviour of solid polymers,
rubber elasticity. Uniaxial deformation, tensile testing, necking. Fracture, brittle and ductile failure. Relationship of
molecular and macroscopic structure. Crystalline polymers. Melting, crystallization, polymorphism. Correlation
between crystalline structure and properties. Structure of amorphous polymers. Polymer blends and composites.
Physical states and processing modes. Machining. Application of plastics. Type and cause of degradation. Types of
additives. Plastics and the environment. Plastics based on natural resources. Biodegradable polymers. Lab practice
demonstrating the most important processing technologies and quality control methods.
Page 32/50.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVEFAA405
Physical Chemistry II
4
Exam
Course code
Timetable information
Lecture
A6
THU:09:15-12:00(F1MFK);
Practice
A7
THU:09:15-12:00(F1MFK);
Reaction kinetics: Homogeneous reactions. First order and second order reactions. Equilibrium reactions.
Consecutive and parallel reactions. Temperature dependence of reaction rates. Kinetics of heterogeneous reactions.
Transport processes: Thermodynamic driving forces. Laws of diffusion. Heat conductance. Viscosity.
Electrochemistry: Equilibrium in electrolytes. Thermodynamics of galvanic cells. Electrode potentials. Conductivity of
electrolytes. Kinetics of electrode processes.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Laboratory
Subject code
Subject name
ECTS credit
Grade type
BMEVEFAA506
Physical Chemistry Laboratory Practice
3
Mid-term mark
Course code
Timetable information
A0
THU:08:15-12:00(F11FK);
i) Equilibrium states: One componenet liquid-vapor phase equilibrium. Apparent heat of evaporation; Two
component liquid-liquid phase equilibrium. Critical temperature of miscibility; Electrochemical equilibrium and
electromotive force of a galvanic cell. Nernstian operation; Calorimetry. Heat of an acid-base reaction. Specific heat
of an organic liquid. ii) Reaction kinetics: Rate constant of iodination of acetone; Order of a component in kinetics of
decomposition of hydrogen peroxide iii) Measurements in transport phenomena: Electrolyte conductivity. Molar
conductivity. Dissociation constant of a weak electrolyte; Rheology. Viscosity of a Newtonian liquid. Flow curve of a
thixotropic slurry. Literature:
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Lecture
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVEFAM201
Physical chemistry and structural chemistry
5
Exam
Course code
Timetable information
A0
MON:09:15-12:00(F1MFK); TUE:08:15-10:00(F1MFK);
Subject code
Subject name
ECTS credit
Grade type
BMEVEFKAKM1
Physical Chemistry and Radiochemistry
3
Mid-term mark
Course code
Timetable information
Laboratory
A1
THU:08:15-10:00(CH306);
Lecture
A0
THU:08:15-10:00(CH306);
The course covers the laws of thermodynamics and their application to the properties of gases, liquids, and solids,
and to homogeneous and heterogeneous equilibria; chemical kinetics. Nature, production and applications of
radioactivity. Topics will include: radioactive decay processes, types of radioactive decay, atomic nuclei, interactions
with matter; radiochemical instrumentation; nuclear reactions.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVEKFA512
Chemical Unit Operations II
6
Exam
Course code
Timetable information
laboratory
TUE:08:15-14:00(CH306);
Lecture
theory
TUE:08:15-14:00(CH306);
Practice
practice
TUE:08:15-14:00(CH306);
Laboratory
Characterization and calculation of liquid-liquid and gasliquid-liquid equilibria. Equilibrium ratio, vapor tension,
Antoine equation, Raoult-Dalton equation, relative volatility, bubble-point calculations, phase distribution
calculations.Use of binary phase plots and equlibrium plots, use of ternary phase plots. Single stage equilibrium
distillation and flash. Simple distillation. Rayleigh equation, vapor consumption. Steam distillation. Continuous
multistage distillation. Reflux ratio. MESH equations. CMO. Upper and lower operating lines. Q-line. Graphical
determination of the theoretical number of stages. Graphical determination of the minimum number of theoretical
stages. Fenske equation. Minimum reflux ratio, graphical construction. Relations between number of stages, reflux
ratio, and product purity. Plates and packings. Stage efficiency, HTU, NTU, HETP. Column capacity. Batch
rectification with constant reflux ratio and with constant purity. Azeotropic and extractive distillation methods.
Pressure swing distillation. Absorption. Kremser-Souders-Brown equation. Liquid extraction. Equilibrium ratio,
Page 33/50.
distribution ratio, and phase ratio. Simple extraction. Repeated extraction. Perkolation. Continuous countercurrent
multistage extraction. Counter-solvent extraction. Devices. Computation with constant equilibrium ratio, graphical
constraction with constant phase ratio and with non-constant phase ratio.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVEMBM401
Environmental toxicology
3
Mid-term mark
Course code
Timetable information
Laboratory
A6 laboratory
WED:12:15-15:00(CH306);
Lecture
A5 theory
WED:12:15-15:00(CH306);
Environmental toxicology as part of the risk based environmental management plays more and more important role.
Both the theoretical background and the practice will be discussed in details and the application in the risk
assessment, risk management and in the environmental decision making. Main aim of the subject is to give an
overview on the effect-based tools of the modern environmental risk management. Short description by enlisting the
topics bull; The basics of environmental toxicology, the effects of chemicals and the measurement of the effect. bull;
Measuring toxicity and other adverse effects, classification of the test methods according to different aspects, like
test-organism, size and type of tests, duration, and endpoints. bull; Most widespread methodologies, their evaluation,
statistics and interpretation. Use of ecotoxicity result in generic and site specific risk assessment of chemicals, in the
site and land use specific assessment of contaminated land, for integrated environmental monitoring, in creating
environmental quality criteria and priority setting, in the risk based environmental management and decision making.
bull; Soil and soil-specific tests and the Soil Testing Triad have special importance. The typical applications of the
environmental toxicity testing are discussed in details and case studies are introduced in interactive form.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVESAA101
General Chemistry
5
Exam
Course code
Timetable information
A12
TUE:08:15-10:00(CHFGEP); WED:08:15-10:00(CHFGEP);
The subject of chemistry. Material, the structure of the material, mixtures, energy and mass conservation. Atoms,
molecules, elements compounds, ions, mol. Chemical formula, stoichiometry, concentration and its measurement.
Chemical reactions and their types. Redox reactions, oxidation number acid-base reactions, acid-base theories, pH.
Characterisation of the gaseous state, gas laws. The liquid and the solid states. Phase transitions and their
characterisation by phase diagramms. Crystallization, sublimation and distillation. Thermochemistry. Chemical
equlibria. The Le Chatellier principle. Homogenous and heterogenous mixtures. Specific chemical equlibria, pH
equlibria, solubility product constant. Basics of electrochemistry. Electrolysis, Faradayrsquo;s law. Electrode
potential, redox electrodes, metal electrodes, gas electrodes. Ionic conductivity. Galvanic cell and redox equilibria.
Chemical kinetics, reaction rate, rate constant, activation barrier, Arrheniusrsquo; law. Thermodynamics and kinetics
for a reaction. Basics of colloids, definitions. Atoms electrons, atomic structure. Atomic orbitals, the hydrogen atom.
Multielectron atoms, the Aufbau principle. The periodic table of the elements. The chemical bond in H2. Covalent,
ionic and dative bonds. Diatomic molecules the sigma and the pi-bond. Delocalization. Hybridization and molecular
structure. VSEPR theory. Metals. Molecular movements, rotation, vibration.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Practice
Subject code
Subject name
ECTS credit
Grade type
BMEVESAA104
General Chemistry Calculations for Chemical
Engineers
4
Mid-term mark
Course code
Timetable information
A4
FRI:08:15-11:00(CHFGEP);
Expression for the composition of solutions and their applications. Operations with solutions, crystallization,
recrystallization. Gases. Properties of gases. Equation of state for ideal gas, and its versions. Boylersquo;s law,
Charlesrsquo; laws. Gay-Lussacrsquo; law. Mixtures of gases, compositions. Partial pressure, and volume.
Daltonrsquo;s rule and Amagatrsquo;s rule. Vapor pressure. Colligative properties of dilute solutions. Vapor
pressure lowering, boiling-point elevation, and freezing-point depression, osmosis. Balancing equations. Oxidation
numbers, redox equations. Stoichiometry and its applications. Yield. Avogadrorsquo;s law. Calculation of titration.
Basic terms in thermochemistry. Energy, heat and enthalpy. Heat capacity, molar heat capacity. The heat of
reactions and Hess's law. General description of chemical equilibria. Various forms of equilibrium constants and their
connections. Application of LeChatelier's principle. The shift in the equilibrium composition by the change in the
amount of reactants, in the pressure, and in the temperature. Heterogeneous equilibria. Acid-base equilibria, pH of
solutions; Electrochemisty;
Page 34/50.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVESAA302
Analytical Chemistry I.
5
Mid-term mark
Course code
Timetable information
A4
TUE:15:15-17:00(CH306); WED:15:15-17:00(CH306);
Fundamentals of chemical analysis: sampling and sample preparation, separation techniques, and error
calculations. Evaluation of analytical data. Gravimetric methods of analysis. Titrimetric methods of analysis:
precipitation, acid-base, complex formation, and oxidation-reduction titrations. Theory and applications of
instrumental analytical methods: potentiometry, voltammetry, conductometry, thermal analysis, liquid and gas
chromatography, flame photometry, atomic absorption spectrometry, ultraviolet, visible and infrared molecular
spectroscopy.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVESZA301
Organic Chemistry I.
5
Exam
Course code
Timetable information
A151
MON:08:15-10:00(CH208A); TUE:08:15-10:00(CH208A);
Structures of molecules; Stereochemistry, configuration, conformation; Theory of reactions, theories of acid and
bases, HSAB and FMO theories; Theory of redox and radical reactions, chemistry of paraffins. Reactivity of olefines
and acetylenes, electrophilic addition, oxidation and polymerization; Reactivity of monocyclic aromatic compounds,
electrophilic substitution; The theory of substitution and elimination; The chemistry of halogen compounds, alcohols,
phenols and ethers; The chemistry of nitro compounds and amines; Reduction and oxidation of alcohols, oxo
compounds and carboxylic acid derivatives; Reactivity of oxo compounds, carboxylic acids and carboxylic acid
derivatives; Oxo-enol tautomerism; Chemistry of carboxylic acids; Chemistry of carboxylic acid derivatives;
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVESZM103
Bioinformatics 2-proteomics
4
Mid-term mark
Course code
Timetable information
A0
TUE:10:15-13:00(CHFGEP);
The subject gives an overview on practical methods in boinformatics with special emphasis on proteomics and
problem solving capabilities related to structure-function relationship issues for bioengineers and chemical engineers
in chemical and bioindustries (pharma, fine chemicals, food and cosmetics industries). Partially based on the topics
of Bioinformatics 1 (put more emphasis on Genomics and algorithms) the lecture part of this subject covers the
theoretical aspects of proteomics and gives insight into practical aspects of bioinformatics - proteomics by a
computation practice. Short syllabus of the subject: middot; - sequence analysis - nucleotide and protein sequences,
pairwise and multiple alignments of sequences, phylogenetic analysis, secundary structure prediction, domain
analysis, sequence bases function prediction; middot; - protein structure related issues - 3D structure and factors for
its formation and stabilization, experimental methods to determine 3D structure of proteins, 3D structure modelling
methods for proteins, protein - ligand and protein - protein interactions, dinamics of proteins; middot; - relationship of
genetic and structural data with molecular function and metabolic role; middot; - databases (nucleotide and protein
sequence databases, structure databases, protein function related databases) - programs and interactive databases
for bioinformatics - examples of practical applications of bioinformatics
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVESZM704
Biocatalysis
2
Mid-term mark
Course code
Timetable information
05
WED:10:15-12:00(CH306); WED:10:15-12:00(CH305);
The subject gives an overview on biocatalysis and biotransformation with special emphasis on stereoselective
methods for chemical engineers and bioengineers for chemical and bioindustries (pharma, fine chemicals, food and
cosmetics industries). The interdiscliplinary subject aims to improve probem solving capabilities related to
stereochemical as well as biotechnology issues such as protein structure, enzyme immobilization and molecular
genetics tools for biocatalysts development. General features of biotransformations and biocatalysis - Enzyme and
cell immobilization - Development of novel biocatalysts by traditional and molecular genetics methods Stereochemical questions related to biotransformations - Selectivity types in biotransformations - Biotransformations
with isolated enzymes (hydrolases, oxido-reductases, liases, transferases) - Biotransformations with multienzyme
systems - Synthetic whole-cell biotransformations with traditional and recombinant microbes - Industrial
biotransformations: examples of biotransformations on industrial scale.
Page 35/50.
Faculty
Faculty of Chemical
Technology and
Biotechnology
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVEVMA606
Design of Experiments
3
Mid-term mark
Course code
Timetable information
Eng1
THU:13:15-16:00(CH306);
Random variable, density and distribution function, expected value, variance. Continuous distributions, normal
distribution, standard normal distribution, #61539;2, t and F distribution. Central limit theorem. Population and
sample. Parameter estimation. Hypothesis testing, parametric tests. Mutual distribution of several random variables,
correlation. Principles of regression, linear regression. Checking adequacy, weighted regression, parameter
estimation, partition of SSQ, confidence intervals. Design of experiments. 2p full factorial: the design, orthogonality
and rotatability, estimation of parameters, significance tests. 2p-r fractional factorials.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUA000
Design of Electronics Systems
3
Mid-term mark
Course code
Timetable information
Lecture
A01E15os
THU:10:15-12:00(QB128);
Practice
A03Gy15os
THU:12:15-14:00(QBP106,QB128);
Practice
A02Gy15os
THU:12:15-14:00(QBP106,QB128);
The building blocks of analog electronics, discrete semiconductor devices, review of transistors, diodes. Design
issues: operating point, small signal parameters. Numerical methods used to calculate linear circuits. Systematic
generation of the equations, application of graph theory. Nodal potentials and loop currents. Numerical methods of
calculating the DC and AC steady-state. Essential properties of nonlinear circuits, simulation issues. Stable and
unstable operating point(s) of non-linear circuits. Iteration. Convergence. Operational amplifiers. Linear circuit
applications. The negative feedback. Frequency dependence of the amplifiers, transfer characteristics. Basic
frequency dependent circuits. Analog filters. Active, passive and switched-capacitor filters. Introduction to the analog
filter design. Filter analysis in frequency and time domain. Transients in electronic circuits. Switch-mode amplifiers:
operation, switching times, dissipation. The analog switch. Methods used for studying transient processes.
Introduction to the theory of transient simulation. Numerical integration methods. Positive feedback. Oscillators.
Modulation, demodulation. The phase-locked loop. Overview of basic digital circuits. Combinational and sequential
circuits, essential design tasks. Interfacing analog and digital systems, hybrid analog-digital circuits. Noise immunity.
Sampling systems, sample-hold circuit, analog multiplexer, demultiplexer. A/D and D/A conversion. Introduction to
digital signal processing. Discrete-time systems. The spectrum of a sampled signals, Shannon principle.
implementation of simple discrete controllers. Discrete Fourier transformation and its applications. Digital filters.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUA008
Electromechanics
4
Exam
Course code
Timetable information
Laboratory
A01L15os
TUE:18:15-20:00(QBP106);
Laboratory
A04L15os
FRI:08:15-10:00(QBP106);
Laboratory
A02L15os
TUE:18:15-20:00(QBP106);
Lecture
A01E15os
FRI:10:15-12:00(QB128);
Practice
A01Gy15os
FRI:08:15-10:00(QB128);
https://www.vik.bme.hu/kepzes/targyak/VIAUA008/en/
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUA016
Motion Control
3
Mid-term mark
Course code
Timetable information
Laboratory
A01L15os
WED:10:15-12:00(QB118,QB128);
Laboratory
A02L15os
WED:10:15-12:00(QB118,QB128);
Laboratory
A03L15os
MON:10:15-12:00(QB118,QB128);
Laboratory
A04L15os
MON:10:15-12:00(QB118,QB128);
Lecture
A01E15os
WED:08:15-10:00(D316A);
Classification of electrical machines according to their operating principles, advantages, disadvantages of each
type, typical areas of application. Requirement of electric servo drives. Modelling of electric machines, basics of
unified electric machine theory. The basic equations of the two-phase universal motor. Cylindrical and salience pole
Page 36/50.
machines. Torque production, cylindrical and reluctance torque. Transformations. Phase and commutator
transformation. The concept of three-phase space vector. Positive, negative and zero sequence components.
Derivation of the commutator DC motor equations. Control block diagrams. Per-unit model. Dynamic behaviour of
the DC machine. Issues of basic speed and position control. P, PI, PD, PID controllers. The effects of the saturation
blocks. The usage of anti-windup structures. Design of the cascade controller. The current control loop. The
disturbing effect of the induced voltage and its compensation. Setting of the speed controller, symmetrical optimum
method. Position control loop. Discrete time controller design in DC servo drives. Power supplies of electric drives.
Switched-mode converters. Circuits of one, two and four-quadrant drives. Circuits of braking and regeneration.
Converters for three-phase machines. Pulsed-Width-Modulation (PWM) techniques. Bipolar, unipolar modulation.
Space vector modulation of three-phase converters. Space vector model of AC machines, the induction machine,
permanent magnet synchronous machines. Field-oriented control of AC machines. Hysteresis controllers. Current
controllers. Direct Torque Control.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUA017
Power Electronics
4
Mid-term mark
Course code
Timetable information
A02L15os
MON:18:15-20:00(QB118,QB128);
Laboratory
A01L15os
MON:18:15-20:00(QB118,QB128);
Lecture
A01E15os
TUE:08:15-10:00(QB128);
Practice
A01Gy15os
MON:16:15-18:00(QB118,QB128);
Practice
A02Gy15os
MON:16:15-18:00(QB118,QB128);
Laboratory
To get the students acquainted with the semiconductor devices, the basic power electronics (PE) circuits and their
application to such an extent that makes them capable to understand the principle of operation of PE equipment,
carry out their laboratory tests, iagnosing faults and solvingthe task of selection as well as operation. Topics in
Detail: 1.Introduction, Definition of PE 2.Applications of Power Electronics 3.DC/DC Converters 4.Characteristics of
Semiconductor Switching Devices 5. Diodes, Thyristors,Application of Thyristors 6. Controllable Semiconductor
Switches: BJT, MOSFET, IGBT, GTO, Emerging Devices 7.Converters: Classification, Configurations, Properties
8.Output Voltage Regulation Methods, Overview of PWM 9.AC Voltage Controllers: On-Off Control, Phase Control,
Applications 10. DC motor types, DC motor drives,Fields of Application 11. Characteristics of the DC motors, Power
Supplies for the DC Motor Drives, Transferfunctions, Dynamic analysis 12.Introduction to Space Vector Theory
13.AC Motor Types, Characteristics, AC Motor Drives, Fields of Application 14.Inverters for AC Motor Drives,
Voltage Source Inverters, Current Source Inverters 15.Control of AC Motor Drives, Control methods: Field Oriented
Control, DTC, V/f
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Lecture
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUA047
Programmable Circuits
3
Mid-term mark
Course code
Timetable information
A01E15os
THU:16:15-18:00(QB128);
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUA300
Electronics 2.
5
Exam
Course code
Lecture
AE
Practice
Agy
Timetable information
Noise in electronic devices, noise bandwidth, power density spectrum, probability density function of the noise
signal. Thermal noise, flicker noise, etc. Equivalent noise circuits of the electronic devices, equivalent input and
output noise of the amplifiers. Noise figure. The phase-locked loops and their applications. Structure, linear small
signal baseband model, different types of the PLL-s. Analysis of the linear baseband model. FM modulator and
demodulator. Clock signal generators, jitter. Selective electronic circuits. Specification, approximation, tolerance
scheme, transformations. Active RC circuits, switched capacitor selective circuits, resonant filters (LRC circuits,
ceramic filters, etc.). Nonlinear circuit: rectifiers, limiters, piecewise linear circuits. Logarithmic and exponential
amplifiers. Circuits of mixers and frequency transpose. Modulators and demodulators. Basic knowledge of energy
conversion techniques. Power rectifiers, DC regulators: analog and switch-mode circuits. DC- DC and DC-AC
converters. Overcurrent protection. Thyristors and their applications, new power electronic semiconductor devices
and modules. Tree phase rectifiers, power converters. Power efficiency of the electronic circuits. Problems of the
implementation. Description of passive distributed circuits in the time and frequency domain. Modeling and design of
active analog circuits with distributed reactive elements (very high frequency amplifiers, oscillators, mixers, etc.).
Microelectronic implementation of distributed circuits. High frequency integrated circuits (oscillators, power
attenuators, etc.). Thermal problems of the electronic circuits, methods of heat removal. Conduction, convection,
Page 37/50.
radiation. Thermal resistance and capacitance. Cooling methods, heat pipe. Thermal design of electronic devices
with CFD. Heat sink of mobile equipment.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUA309
Control Engineering
4
Mid-term mark
Course code
Lecture
AE
Practice
AGy
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUM001
Electronics
4
Exam
Course code
Timetable information
A01L15os
TUE:10:15-12:00(QB128);
Laboratory
A02L15os
TUE:10:15-12:00(QB128);
Lecture
A01E15os
TUE:08:15-10:00(KF83);
Laboratory
Electronic components: Diode, Zener diode, Transistors (bipolar and field effect transistors), Common-emmiter
characteristics. Discrete circuits: Emitter-follower circuit, Amplification, Impedance matching, Series connection of
amplifier stages, Feedback. Integrated circuits: Operational amplifier, Mathematical operations, Wave shape
generation, Function generation, Filters, Power supply.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUM009
WEB Based Laboratory
3
Mid-term mark
Course code
Timetable information
Laboratory
A01L15os
WED:17:15-18:00(QB128);
Lecture
A01E15os
WED:16:15-17:00(QB128);
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUM019
Novel Technologies and Renewables
4
Exam
Course code
Timetable information
Laboratory
A02L15os
TUE:16:15-18:00(QB118);
Laboratory
A01L15os
TUE:16:15-18:00(QB118);
Lecture
A01E15os
TUE:14:15-16:00(QB128);
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIAUM021
Project Laboratory
3
Mid-term mark
Course code
Timetable information
A01L15os
MON:10:15-12:00(QBP106);
Subject code
Subject name
ECTS credit
Grade type
BMEVIEEA306
Microelectronics
5
Mid-term mark
Course code
Laboratory
a3
Laboratory
a2
Lecture
a1
Timetable information
Introduction, IC manufacturing processes, basic terms of art. Development trends (Moorersquo;s law). Basic steps
of microelectronics technologies: layer deposition, patterning, doping. The manufacturing process at the
departmentrsquo;s clean-room facility. Basics of semiconductor physics: band structure, generation and
recombination, carrier concentrations in intrinsic and doped semiconductor materials. Mass-action law. Currents in
semiconductors (drift, diffusion). Einsteinrsquo;s relationship. The pn junction ndash; how it works? Basic
poroperties. Real diodes and the rsquo;internal junctionrsquo;. Diode characteristics (farward, reverse), secondary
effects (series resistance, generation current, recombination current, brakedown phenomena). DC operating point.
DC model of diodes. Dynamic properties of diodes. Temperaure dependence. The bipolar transistor (structure,
Page 38/50.
operation). Amplification. Currents in a BJT. The built-in electric field in a BJT. Injection and transport efficiency.
Different modes of operation of a BJT, Ebers-Moll model. Characteristics of an ideal BJT (in common base and
common emitter setups). Characteristics of real BJT-s, secondary effects (parasitic CB diode, series resistances,
Early-effect, base-width modulation. Set of IC components available in a bipolar process (resistors with base
diffusion, with base and emitter diffusion, PNP transistors, thin-film capacitor). Layout of a classical OpAmp. Thermal
phenomena in case of analog IC-s. Thermal impedances, thermal feedback. How layout affects the circuit operation
through thermal effects. Thermally optimized layout of a bipolar OpAmp. Small signal models of BJT-s, high
frequency operation. Field effect transistors. Operation and chacateristics of JFETs. The pinch-off voltage. Operation
of MOSFETs, the phiscal basics (the MOS capacitance, energy, charge and potential distributions at the
semiconductor-dielectric interface, the threshold voltage). The device characteristics, some secondary effects
(short/narrow channel effects, temperature dependence, subthreshold currents). MOS inverters ndash; major
properties and characteristics. MOS and CMOS circuits: design and construction. Power consumption of CMOS
digital circuits. Steps of the most basic self-aligned poli-Si gate MOS process. Layout and cross section of a CMOS
inverter. Integrated circuits: major properties; manufacturing and design; cost factors. Overview of IC design tools.
Design flows. Design rules. Standard cell design. MPW manufacturing. Design of digital circuits for FPGA realization.
SoC. HDLs (VHDL, Verilog, System-C). Hardware-software co-design. Issues of IC packaging. Thermal properties of
IC packages. Testing of ICs. Scan designs. The boundary scan. Typical VLSI circuits: memories, AD/DA converters.
MEMS devices and issues of MEMS design. Special semiconductors such as LEDs, CCD arrays. Examples for
organic semiconductor devices: OLEDs.Laboratory sessions: 1) visit to the clean-room facility, investigating IC-s
through optical microscope; 2) Thermal simulation of electronic systems; 3) Circuit simulation with a SPICE-like
program; 4) Verilog simulation; 5) Digital IC design and FPGA design (Verilog synthesis)
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIEEA307
Electronics
4
Mid-term mark
Course code
Lecture
a1
Practice
a2
Timetable information
LECTURES: Introduction, the history of electronics and microelectronics. The basic laws of electronics, equivalent
circuits, RC networks. Introduction to semiconductor physics. Currents in semiconductors. The p-n junction and the
operation of the semiconductor diode. The characteristic functions and application of the diode. Computer aided
design of diode circuits. Circuit design using a circuit simulator. Hand calculation methods. Diode logic, rectification,
application examples. The operation of current controlled sources. The bipolar transistor, modes of operation,
characteristic functions, models. Calculation of transistor circuits. The MOS capacitance. The operation of voltage
controlled sources.The types of MOS transistors, characteristic functions models. Integrated circuits. The rudiments
of VLSI circuits and microelectronics technology. Introduction to the details of road maps. The elements of MOS
circuits. The properties of wires. The elements of bipolar technology. Digital circuits. The properties of an inverter.
MOS inverters, basic and complex logic gates. CMOS circuits, inverter, logic gates, complex gates, transfer gates,
transfer gate circuits. Different types of combinational logic realized with CMOS gates. Driver and I/O circuits.
Monostable and bistable circuits used in sequential networks, registers, arithmetic elements. Semiconductor
memories. Mask programmed ROM, EPROM, EEPROM, FLASH memories, static and dynamic RAM memories.
Analog integrated circuit elements. Ideal and nonideal amplifiers, operational amplifier circuits. A/D and D/A
converters. The testing of integrated circuits - boundary scan. ASICs (application specific integrated circuit) and their
design methods. Display toos (CRT, LCD, plasma display). MEMS (micro electro mechanical system) structures.
LAB SESSIONS (1 hour / week): (1) simulation of a simple, 1-2 transistor nalog circuit (pl. common-emitter
amplifier); (2) gate level simulation of a MOS/CMOS logic gate; (3) application of a hardware definition language - a
simple digital function is realized, tested and synthesised; (4) testing of the synthesised RTL code using a logic
simulator; (5) realization of the synthesised circuit in an FPGA and the testing of the circuit using a development
board
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVIEEAV05
Intelligent Sensors
4
Exam
Course code
Timetable information
a1
WED:12:15-14:00; FRI:12:15-14:00;
Types of the microelectronic integrated sensors, chemical sensors, cantilevers, micro-heaters, ISFETs, and
ChemFET sensors, SAW sensors, integrated biological sensors, Lab-on-Chip electrochemical analyzers, intelligent
pressure sensors. Features of the intelligence of the sensors, self-calibration, signal-digitalization, removing the
artefacts, reconfigurability, data compression, adaptivity, communication capability. Methods for preprocessing the
measured signals, digital and analogue integrated processing methods, circuit implementations of the self-calibrating
A/D converters. The elements of the VHDL language used in the hardware design. Modeling the inherent parallelism
of the hardware with VHDL language tools. VHDL descriptions of example circuits. Abstraction levels in the digital
system modeling. VHDL description of the digital logic processing circuits of the sensors. The fundamentals of the
VHLD based circuit synthesis. Comparison of the signal conditioning in case of the measured signals, frequency
Page 39/50.
filtering, time-frequency transformations. Intelligent sensors in the medicine, pulse, blood pressure, ECG
measurements, anemometers, blood-oxygen measure, touch-sensors. The fundamental features of the P2P
computer networks. The most important procedures of the routing on the wireless sensors. Mobile sensors, wireless
solutions, System-on-Chip Body sensor networks and communication interfaces. Architectures and communication
electronics of the sensors of Body Area Network (BAN). Power supply of the implemented sensors, implanted
sensors for pressure-measuring, multipath data communication solutions, protocols. Medical supervisor tools,
supervision of nursing homes of elders, touch-free location-free sensor system. Telemetric systems in the
telemedicine, systems based on mobile networks and Internet. Case studies of present-day solutions. Databases,
expert systems. Multimedia processing in telemedical sensor networks. Processing-partitioning in case of wide,
shared sensor networks. Data security of the telemedicine networks, security of the personal data with the
possibilities of the conciliar, case study.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Lecture
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Lecture
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIEEAV99
Solar Cells and Renewable Energy Sources
4
Exam
Course code
Timetable information
01
TUE:12:15-14:00; THU:12:15-14:00;
Subject code
Subject name
ECTS credit
Grade type
BMEVIEEJV14
Optoelectronics
4
Exam
Course code
Timetable information
a1
TUE:12:15-14:00; THU:12:15-14:00;
Subject code
Subject name
ECTS credit
Grade type
BMEVIEEMA05
System Level Design
4
Exam
Course code
Lecture
01
Practice
02
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVIETA302
Electronics Technology
5
Exam
Course code
Laboratory
3_LCsdeA
Lecture
3_EA
Only for examination
3_VA
Timetable information
Lectures: Classification of electronic products and technologies; types forms, and assembling methods of electronic
components; interconnection substrates of circuit modules, materials and technologies; printed wiring boards
(PWBs), insulating substrate passive (thin- and thick-film) networks and high density interconnects; design methods
and considerations; mounting and assembling methods of circuit modules; design and application of combined
(optoelectronic and mechatronic) modules; basics of appliance design; quality, reliability, environment and other
human oriented issues of electronics technology. Laboratories: technology of double sided printed wiring boards with
through-hole metallization; film deposition technologies of thick film circuits: screen-printing and firing. film deposition
and patterning technologies of thin film networks: vacuum evaporation, photolithography and etching; laser
processed applied in electronics technology; through-hole mounting of circuit modules; surface mounting of circuit
modules.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIETAB00
Electronics Technology and Materials
6
Mid-term mark
Course code
Laboratory
1_LCsdeA
Lecture
1_EA
Timetable information
Page 40/50.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Lecture
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIETMA06
Photonic Devices
4
Mid-term mark
Course code
1_A
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIA327
Project Laboratory
5
Mid-term mark
Course code
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIA426
Mobile Infocommunication Laboratory 2.
2
Mid-term mark
Course code
Timetable information
LA
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIAB02
Electronics 1
5
Exam
Course code
EA
Practice
GA
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIM161
Media Communications Networks
4
Exam
Course code
Lecture
EA
Practice
GA
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
LA
Lecture
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIM277
Risk Analysis and Management
5
Exam
Course code
Timetable information
Laboratory
L
Lecture
E
MON:13:15-14:00(IL108);
MON:10:15-13:00(IL108); TUE:18:15-20:00(ZH); THU:17:15-19:00
(ZH);
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIM806
Project Laboratory 1
5
Mid-term mark
Course code
Timetable information
LA
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIM809
Project Laboratory 1
5
Mid-term mark
Course code
Timetable information
LA
Page 41/50.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIM856
Project Laboratory 2
5
Mid-term mark
Course code
LA
Subject code
Subject name
ECTS credit
Grade type
BMEVIHIM859
Project Laboratory 2
5
Mid-term mark
Course code
Timetable information
LA
Subject code
Subject name
ECTS credit
Grade type
BMEVIHVAB01
Signals and Systems 2
6
Exam
Course code
Lecture
A2
Practice
C2
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVIIIA303
Control Engineering
5
Exam
Course code
Lecture
ENE
Lecture
ERE
Lecture
BRE
Practice
ERG
Practice
BRG
Practice
ENG
Timetable information
Basic notions of control theory: The principle of control. Presentation of control structures. Principles and differences
of open and closed loop control. Functional diagrams, dataflow diagrams, conventions and standard signals and
their nomenclature in a control loop. Static and dynamic characteristics of control loops, integrals of the error
function. Classification of control systems. Some important services of Matlab, Simulink, and the Control System
toolbox. Analysis of continuous time linear control systems: Descriptions of single variable (SISO) linear transfers:
ordinary differential equation, transfer function, Bode-plot, impulse response, step response, state equation.
Transformations between descriptions. Fundamental interconnections of elements, open and closed loops.
Elementary transfers. First and second order systems: characteristics in time and frequency domains. Relation
between the dominant pole(s) and the dynamical characteristics of a transfer. Properties of the amplitude and phase
plots of a general open loop transfer function, the calculation of the crossover frequency. Steady state responses in
linear control loops and consequences on reference tracking and disturbance rejection. Stability criteria: Hurwitz
criterion, Nyquist criterion, Bode criterion, phase margin and crossover frequency. The description of the stability
margin by the phase margin. Synthesis of continuous time linear control systems: The class of PID compensators,
the PID compensator with filtered D term, Bode plots and pole zero distribution of the compensators. Properties of
the compensators to be used. Setting the compensator parameters for a desired phase margin and steady state
behavior. Examples for compensation with P, PD, PI, and PID controllers. Feedback compensation. Controller
design for minimal error square integral. Compensation of systems with time lag: compensation of an ideal time lag
with an integrator, compensation of time lags using Smith predictor. Setting the controller parameters for bounded
controller signals. Analysis of discrete time linear control systems: The Shannon law. Properties of hold elements.
Signal propagation in a discrete time system in frequency domain and using state space description. Discrete time
equivalent of a continuous time plant using a zero order hold element. Discrete time implementation of continuous
time compensators: discrete time realization of integral and derivative operators (approximations), step response
equivalence. Hardware and software realization of a PID controller using integrator anti-windup techniques.
Synthesis of discrete time linear control systems: Realization of a simple direct digital control scheme. Design of twodegree-of-freedom controllers: the choice of the observer polynomial and the transfer function of the reference
model, the steps of the design procedure to arrive to a Diophantine equation. Illustration with an example.
Robustness of the two-degree-of-freedom controller scheme against parameter uncertainties. Compensation of a
plant with time lag, the realization of the Smith predictor. Control loop synthesis in state space: Controllability and
observability in continuous time linear systems. Conditions of full state controllability and observability. Staircase
forms, stabilizability and detectability. Kalman decomposition of LTV systems. Pole placement using state feedback,
the Ackermann formula. Design of full state observers, algebraic equivalence to the pole placement problem.
Page 42/50.
Controllability and observability of discrete time systems. Pole placement and actual observer design for discrete
time systems. Integral control and load estimator design. Elementary stability theory of nonlinear systems, further
topics: Equilibria and limit cycles of nonlinear systems, their stability in Lyapunovrsquo;s sense. Uniform and
asymptotic stability. Positive and negative definite functions. Lyapunovrsquo;s direct and indirect methods. Relation
between the classical and Lyapunov stability for LTV systems. Invariant set, LaSallersquo;s invariance theorem.
Examples for stability analysis of nonlinear control systems. Short introduction into further topics: new trends in
contemporary control theory, new tools, rapid control prototyping, case studies to present up-to-date development
tools.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIIIA316
Computer Graphics and Image Processing
4
Exam
Course code
Lecture
BRE
Lecture
ENE
Lecture
lec
Lecture
ERE
Practice
ENG
Practice
Pr
Practice
ERG
Practice
BRG
Timetable information
Fundamental concepts: tasks of the computer graphics and image processing, synthetic camera, image synthesis.
Graphical hardware. Analytical geometry: vectors, coordinate frames, points. Implementation of operations on
vectors. The equation of lines and planes. Geometrical modeling, Lagrange interpolation, Bezier approximation, BSplines, NOBS and NORBS. Areas, quadratic and parametric surfaces, polygon modeling, body models. Colors: the
light as electromagnetic wave, the model of color perception, color fitting, color systems. Geometric transformation.
Virtual world models: hierarchical model, VRML, color space graphs. 2D image synthesis: vectorization. Modeling
transformation, view transformation. Split of sections and area. 2D graphical systems: OpenGL, GLUT, color tactics,
link with the windowing environment, open of the graphical window, registration of callback functions. Fundamental
optical model for 3D image synthesis: flux, radiance, BRDF, shading equation. Recursive ray tracing: intersection
calculation and its acceleration. Incremental 3D image synthesis. OpenGL and graphical hardware, OpenGL
primitives, transformations, shading, light sources. Textures in OpenGL, control of the OpenGL pipeline. The
architecture of the graphical hardware and its direct programming. Cg language, GPUGPU, CUDA. Computer
animation: definition of motion, Spline, key-frame, path, physical and motion capture based animation. Forward and
inverse kinemtaics. Augmented reality. Computer games: virtual worlds and the architectural concepts of games.
The game engine. Realistic effects: physics of the games, terrain modeling, MD2 format, artificial intelligence of the
opponents. Scientific and medical visualization (CT, MRI, PET). Direct and indirect methods. Fractals. Chaos,
chaotic dynamical systems on the complex plane. IFS coding. Recording, filtering and storage of digital images.
Features of the optics, cameras, digitalization and reconstruction. Image enhancement techniques: histogram
equalization and transformations. Image filtering: linear operations, 2D convolution. Real-time filtering, methods of
edge detection, nonlinear filtering. Image compression, file formats.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIIIA355
Project Laboratory
5
Mid-term mark
Course code
Laboratory
ERL
Laboratory
ENL
Timetable information
In the first week of the subject (after the registration week), students apply for the topics or areas offered and
consult with the advisor about the specific tasks. It is recommended to inquire at the department in the examination
period before the semester, if possible. At the beginning of the semester, students and advisors agree on the tasks
to be completed and their schedule. The format of the document summarizing this information (task assignment) and
its submission rules are set by the host department of the subject. At the end of the first term, students must report
the completed work. The report consists of written and oral parts. The formal requirements of the report and its
scheduling are set by the host department of the subject. A topic offered by another faculty, university, or a company
(business organization) can be accepted only if the department assigns a departmental advisor. The external advisor
must be an expert with a university diploma or masterrsquo;s (M.Sc.) degree and must be approved by the
department head. The topic shall be chosen and the documentation shall be written so that the work of the candidate
can be evaluated without releasing information that violates the interests of the company (business organization).
Project Labs can be carried out abroad as well, in any language of instruction at BME: Hungarian, English, French,
German, and Russian. In this case, the topic and the tasks shall be confirmed in advance by the host department of
the subject, similarly to the case of industrial Project Labs. The foreign advisor must write a short report about the
Page 43/50.
candidatersquo;s work that is evaluated by the departmental advisor. The work carried out abroad needs to be
reported just like Project Labs completed in Hungary. Two or more students can work on a joint project, provided that
the work and the results of each contributor can be unambiguously separated. In the task assignment, tasks to be
solved individually, as well as those to be solved by other students working on the joint project needs to be clearly
stated.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIIIAA01
Digital Design 1
5
Exam
Course code
Laboratory
ERL
Laboratory
ENL
Lecture
ENE
Lecture
ERE
Practice
ERG
Practice
ENG
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Subject code
Subject name
ECTS credit
Grade type
BMEVIIIAB00
Programming 3
5
Mid-term mark
Course code
ERL
Laboratory
BRE
Laboratory
ENL
Lecture
ENE
Lecture
ERE
Subject code
Subject name
ECTS credit
Grade type
BMEVIIIAB01
Software Engineering
4
Exam
Course code
Lecture
ERE
Lecture
BRE
Lecture
ENE
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
BRL
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVIMIA304
Laboratory 1.
5
Mid-term mark
Course code
Timetable information
Laboratory
H31E
MON:16:15-20:00; FRI:14:15-16:00(ZH);
Laboratory
H32A
MON:16:15-20:00; FRI:14:15-16:00;
The topics of measurement sessions:1) Get to know the instruments; 2) Basic measurements; 3) Basic digital tools;
4) Signal analysis I; 5) Signal analysis II; 6) Investigation of two poles; 7) Investigation of four poles; 8) Investigation
of active electronic devices; 9) Investigation of logic circuits; 10) Investigation of synchronous devices 11
Measurement of programmable peripheries
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Subject code
Subject name
ECTS credit
Grade type
BMEVIMIA312
Measurement Laboratory 3.
2
Mid-term mark
Course code
Timetable information
CDE0A
Topics of measurement sessions: 1) Testing the characteristics of A/D and D/A converters; 2) Measurement of data
channel characteristics 3) Investigation of simple data transfer protocols 4) Configuration of a PC for network
connection; 5) Creating a computer network by a manageable switch, investigation of the network
Page 44/50.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIMIA405
System Modeling
5
Mid-term mark
Course code
Lecture
EA
Practice
GA
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Subject code
Subject name
ECTS credit
Grade type
BMEVIMIAA01
Digital Design
7
Exam
Course code
Timetable information
LA
Lecture
EA
Practice
GA
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVIMIM332
Critical Embedded Systems
4
Exam
Course code
Lecture
EA
Practice
GA
Timetable information
Development process of safety-critical systems: Main concepts. Safety criteria (in avionics,railways, automotive
context). Related certification standards (IEC 51508, DO178C), safetyintegrity level, requirements engineering,
architecture design, safety analysis, concept of safetycase, development processes (V-model), end-to-end
traceability. Development techniques of critical systems: Formal architecture modeling (SysML, AADL), Execution
platforms (ARINC 653, AUTOSAR), Programming languages for critical systems design (Safe C, Real-Time Java,
Safety Critical Java), Certified code generators, Verification and validation of critical systems. Case studies:
architecture design, resource allocation, scheduling, implementation and testing in the field of avionics and
automotive systems.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVISZAA00
Introduction to the Theory of Computing 1
4
Exam
Course code
Lecture
A0
Practice
A1
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVISZAA02
Foundation of Computer Science
4
Exam
Course code
Lecture
A0
Practice
A1
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject name
ECTS credit
Grade type
BMEVISZAB00
Probability Theory
4
Exam
Course code
A0
Practice
A1
Lecture
Timetable information
Subject code
Lecture
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVITMA301
Infocommunication
5
Exam
Course code
Timetable information
EA7
Page 45/50.
Practice
EGY7
The overall objective of the course is to give an overview about the major sub-topics, methods and solutions
characterizing telecommunications in the broadest possible sense of the word. The treatment of the various types of
messages (sound/voice, image, video, data) and their basic processing (sampling, digitizing, compression, error
correction) is followed by getting acquainted with the transmission channels (copper, fiber, radio) and with the
analogue and digital modulation methods that couple messages and channels. A chapter on infocommunications
networks embraces circuit and packet (e.g. IP) based communications and their implementations in legacy and new
generation wireline and wireless networks and services. Audio and video broadcasting by analog and digital
methods using terrestrial, satellite and cable facilities concludes the syllabus.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVITMA310
Telecommunication Networks and Services
4
Exam
Course code
Lecture
A8
Practice
AGY8
Timetable information
Architecture of telecommunication networks. Network hierarchies, numbering plans, signaling systems and signaling
protocols. Telecommunication technologies: wired and wireless access, backbones. Plesiochronous Digital
Hierarchy, Syncron Digital Hierarchy, Asynchronous Transfer Mode and optical networks. Telecommunication
systems: Public Switched Telephone Networks, Global System Mobile, Voice over IP. Convergence of
telecommunication-, computer- and broadcast networks. Software and hardware elements of telecom systems.
Telecom software technology. Specification of telecom software. Infocom services. Teleservices. Message, data,
voice and conference services. Content services. Video on Demand, Internet services. Web portals and services,
media information systems, electronic commerce, electronic civic centre. Broadband integrated services.
Authentication, authorization, and accounting.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVITMA311
Databases
5
Exam
Course code
Lecture
A8
Practice
AGY8
Timetable information
Database concepts, history, entity-relationship model/diagram, attributes, relation-types, constraints, weak entity
sets. Relational database, relational algebra, extended operations, design from E/R model. Tuple relational calculus,
domain relational calculus, safe expressions, completeness. Introduction to ISBL, QUEL, QBE. SQL queries: basic
structure, set operations, aggregate functions, NULL values, subqueries, SQL Data Manipulation Language, SQL
Data Definition Language. Functional dependencies, logical consequence, Armstong axioms, derivation rules, key,
closure, multivalued dependency, decompositions, normal forms. Transaction management: serializability,
precedence graph, locks, deadlocks, 2PL, RLOCK/WLOCK, tree protocol, timestamps, logging, UNDO/REDO
protocols.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVITMAK47
Engineering Management Methods
2
Mid-term mark
Course code
Timetable information
A10
Engineer as a leader (situations and solution): role of informaticians and electrical engineers in the information
based society. General trends, business models and the development of value chains. Leader roles, leader tasks
and situations. Management of IT based, communication related and business functions in a company. Complex
engineering methods in the information transmission and processing, technological and economical optimization of
the related processes. Management problems of resource and time allocation, task distribution and scheduling, and
workforce placement. Decision preparation techniques: statistical and heuristics based methodologies.Innovation
management: tools of innovation management, institutions of innovation management, funding models and typical
calls for applications. Organizations of scientific research and technology development, business models of spin-off
companies. Conception of technological visions about the future, ways to identify technological breakthroughs,
management of generation changes. The process of standardization, its organization and its consequences on
technological markets. Intellectual property rights during the innovation process: protection of technical creations,
neighboring rights, protection of databases. New trends in IP rights: free software licensing models. Processes of
product development and product introduction to the market, market study and marketing methodology. The role of
IT technologies in the product and business development, their contribution to the value creation.
Page 46/50.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Lecture
Subject code
Subject name
ECTS credit
Grade type
BMEVITMBV09
Content Delivery Networks
4
Exam
Course code
Timetable information
A02
Normal 0 false false false EN-US X-NONE X-NONE TITLEOF THE COURSE: Content Delivery
NetworksHungariantitle: Tartalom elosztó hálózatokUniversity:Budapest University of Technology and Economics
(BME)Department:Telecommunications and Media Informatics (TMIT)Major/specialisation:Digital Media
Technology / Specialization Elective (SE) Course code Semester Requirements Credit 3 4 1. Professorresponsible
for the course / department : Dr. Tuan Anh Trinh / TMIT2. Website ofthe course: 3. Additionalinstructors Name:
Position: Department/Institute Dr. Tuan Anh Trinh Research Fellow TMIT/BME 4. The course isbased on the
knowledge of the following thematical areas (topics):-5. PrerequisitesCompulsory: -Recommended:Basic knowledge
of computer networks6. Aim of the course:The aim ofthis course is to provide the students with different aspects of
contentdelivery networks both from theoretical and practical points of view. Thecourse describes and illustrates
different technologies that are used incontent distribution networks. It also teaches the students on the
applicationsas well as the operation of content delivery networks. 7. Courseoutline:Introduction.Basic requirements
and properties of content delivery networks.Architecturesof content distribution networks. Generalstructures of
content delivery networks: Centralized and decentralized models. Componentsof content delivery networks:
structures and functions.Transportprotocols used in content delivery networks.Replicationstechnologies in content
delivery networks: Scalability, efficiency, dynamicsettings. Performance evaluation of replication strategies.Operation
andmanagement of content delivery networks.Cachingmethods in content delivery networks. Redirection strategies.
P2P-basedcontent distribution systems. Example: Bittorent system. Resourcemanagement and resource allocation
in content delivery systems.Mathematicalmodelling and analysis of resource management and resource allocation
strategies.Security andprivacy issues in content delivery networks.Applicationspecific content delivery networks.
Case studies: Akamai, Limelight, CDNetworks.Open researchissues in content delivery networks.8. Type of
thecourse (lecture, practice, laboratory): Type of the course Lecture Practice Laboratory Consultation Credit 2 1 1
Hours per week 2 1 1 Type of testing exam individual homework, presentation 9. Lecture notes,textbook, compulsory
literature, recommended literature:Rajkumar Buyya, Mukaddim Pathan, Athena Vakali (Editors): Content Delivery
Networks (Lecture Notes in Electrical Engineering), Springer, 2008, 418 p., ISBN: 978-3540778868Markus
Hofmann, Leland R. Beaumont: Content Networking: Architecture, Protocols, and Practive, Morgen Kaufman, 2005,
352 p., ISBN: 978-1558608344Stefan Saroiu, Krishna P. Gummadi, Richard J. Dunn, Steven D. Gribble, and Henry
M. Levy: An Analysis of Internet Content Delivery Systems, OSDI’02, 2002.George Pallis, Athena Vakali: Insight and
perspectives for content delivery networks, Communications of the ACM, January, 2006.Guillaume Pierre and
Maarten van Steen: Globule: A Collaborative Content Delivery Network, IEEE Communications Magazine, August,
2006.10. The abstractwas developed by: Name: Position: Department/Institute: Dr. Tuan Anh Trinh Research Fellow
TMIT/BME /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Normál táblázat";
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Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM000
Security in Media Communications
4
Exam
Course code
Lecture
03
Practice
04
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM215
Network Planning
4
Exam
Course code
Lecture
A6
Practice
AGY6
Timetable information
Backbone Network Design. Network design in general (overview, input/output of the design, design goals, trends,
cost functions). Description of traffic (telephony network traffic, traffic matrix estimation). Network topology and
topology models. Design methods, tools and algorithms. Linear programming, network flow problems. Heuristic
methods: Taboo search, simulated annealing, genetic algorithms, simulated allocation. Protection and Recovery.
Availability (basic concepts, serial - parallel elements). Dedicated and shared protection (self-healing rings, Shared
Risk Link Group, Suurballe's algorithm). Shared Protection (one-, two-step method), restoration and protection. Multilayer protection, traffic management. Access networks planning. Typical design topics. Separation of traffic with
different solutions. Scalability. Cooperation with the First Mile Technologies. Metro Ethernet, Multilayer switching.
Page 47/50.
Topologies, devices. QoS guarantees. Traffic Management. Protection and Recovery. Wireless access networks
(WLAN, WiMax) design. RF spectrum management, fixed and dynamic channel allocation in order to avoid
interference. Capacity planning strategies to accommodate access points, indoor and outdoor environment. Future
Internet Technologies. Internet protocol weaknesses and proposed solutions
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM245
Infocommunications Laboratory I.
4
Mid-term mark
Course code
Timetable information
11
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM275
Media and Text Mining
5
Exam
Course code
Timetable information
Lecture
09
TUE:18:15-20:00; FRI:08:15-11:00(IE218);
Practice
10
FRI:11:15-12:00(IE218);
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM280
Information and Network Security
4
Exam
Course code
Lecture
19
Practice
20
Timetable information
Introduction: objectives of the information and network security, threats and attacks. Cryptography: symmetric key
encryption, block ciphers (DES, 3DES, AES), stream ciphers (RC4), asymmetric key encryption, basics of modulo
arithmetics (RSA, DSA, EC), hash functions (MD5, SHA1), keyed hash functions, keymanagement, keymanagement
protocols, digital signature. Secure network communication: attacks on network security, secure communication
protocols (IPSec , TLS/SSL), Virtual Private Networks, Firewalls, NAT, intrusion detection systems, honeypots,
vulnerability analysis. Security of Wireless Networks: WiFi protection, WEP, WPA and 802.11i protocols.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM376
Project Laboratory 1
4
Mid-term mark
Course code
Timetable information
11
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM388
Project Laboratory 2
6
Mid-term mark
Course code
Timetable information
10
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM807
Project Laboratory 1
5
Mid-term mark
Course code
Timetable information
LA14
Subject code
Subject name
ECTS credit
Grade type
BMEVITMM857
Project Laboratory 2
5
Mid-term mark
Course code
Timetable information
A7
Page 48/50.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVITMMA11
Human-Computer Interaction
4
Exam
Course code
Lecture
A1
Practice
AGY2
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Lecture
Timetable information
Subject code
Subject name
ECTS credit
Grade type
BMEVITMMB03
Engineering Management
4
Exam
Course code
Timetable information
A02
Engineering management in the knowledge society. Engineering management in general. Definition, role and areas
of the engineering management. The evolution of the engineering management discipline. Peculiarities, generic
trends and engineering management of the information, communication and electronic media technologies (ICT).
Managerial elements of the engineering activity. Components and principles of the managerial activity. Managerial
situations, methods and tools. Strategic management. Strategy types and parts. Business strategic planning
methods. Classes of competitive strategies. Implementation of strategy: success factors, progress tracing. Methods
of the strategic direction and control. Complex engineering decision problems, customer-oriented and systemic
approaches, solutions, procedures. Planning and allocation of resources, multi-project management. Organization
management. Management of organizations. Organization types in the ICT sector. Lifecycle, decision culture of
organizations, change management. Managing cooperation of organizations, complex working groups. Knowledge
management. Knowledge process: accumulation, internalization, adaptation, externalization. Competence.
Knowledge sharing and transfer. Knowledge based systems. Introducing a knowledge. Management system into a
company (Case study). Types of the intellectual property, principles intellectual property rights. Open access
software. Exploitation of the intellectual properties. Intellectual public utilities. ICT specific engineering management.
Technology management. Technological planning, forecast, transfer, launching, change. Making technology vision,
analyzing driving forces, scenarios. Technology-driven business strategies. Corporate ICT functions. Application of
the ICT in shaping new business strategies, global work-flows, efficient organization structures. Innovation
management. Goals of the research, development and innovation. Innovation models and metrics. Management of
the innovation process, quality and risks. Innovation chain: university-industry partnership, role of the government.
Multi-tier organization and operation of the research-development-innovation management. Innovation financing.
National and EU sources, grant, funds, tenders. Development projects. Technological incubators, innovation centers,
start-up companies, technological consortia in the ICT sector. Product management. Goals and process of the
product development. Markets of the ICT products and services. Market players, competitive environment. Market
segmentation. Life-cycle of the product, and its management. Product pricing, price-sensitivity of the customers.
Market-research, sale and sale-support methods. Business process management. Analyzing, planning, regulating,
improving and transforming corporate business process. Criteria of the process-based management systems.
Methods for developing processes. IT in the corporate value creation. Customer-relation management, operation
support systems, supply chain management, business continuity management. Special business functions (e.g.
billing), industry-specific systems, IT system architecture of telecommunication service providers. Regulatory
environment. Sector regulation. Goal and principles of the regulation in general and in the networked and public
service sectors. Competition regulation, consumer protection. Regulatory institutions and procedures, ex-ante and ex
-post regulation, self-regulation, public hearing, conventions, MoUs, standards. Regulation of the information and
communication technologies and markets. Technology and marker regulatory models in the ICT sector. Regulatory
tasks for deploying the convergence of the telecommunications, information and media technology sectors.
Community and national regulation of the electronic communications network and services. Framework and specific
directives. Rules for the cooperation of the network operators and service providers. Regulation for managing scarce
resources, frequency, number and address management. Concept for regulating information security, data
protection and content.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Laboratory
Subject code
Subject name
ECTS credit
Grade type
BMEVIVEA338
Project Laboratory
5
Mid-term mark
Course code
Timetable information
15161A_VIVEA338_lab
In the first week of the subject (after the registration week), students apply for the topics or areas offered and
consult with the advisor about the specific tasks. It is recommended to inquire at the department in the examination
period before the semester, if possible. At the beginning of the semester, students and advisors agree on the tasks
to be completed and their schedule. The format of the document summarizing this information (task assignment) and
its submission rules are set by the host department of the subject. At the end of the first term, students must report
the completed work. The report consists of written and oral parts. The formal requirements of the report and its
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scheduling are set by the host department of the subject. A topic offered by another faculty, university, or a company
(business organization) can be accepted only if the department assigns a departmental advisor. The external advisor
must be an expert with a university diploma or masterrsquo;s (M.Sc.) degree and must be approved by the
department head. The topic shall be chosen and the documentation shall be written so that the work of the candidate
can be evaluated without releasing information that violates the interests of the company (business organization).
Project Labs can be carried out abroad as well, in any language of instruction at BME: Hungarian, English, French,
German, and Russian. In this case, the topic and the tasks shall be confirmed in advance by the host department of
the subject, similarly to the case of industrial Project Labs. The foreign advisor must write a short report about the
candidatersquo;s work that is evaluated by the departmental advisor. The work carried out abroad needs to be
reported just like Project Labs completed in Hungary. Two or more students can work on a joint project, provided that
the work and the results of each contributor can be unambiguously separated. In the task assignment, tasks to be
solved individually, as well as those to be solved by other students working on the joint project needs to be clearly
stated.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIVEAB00
Electrotechnics
5
Mid-term mark
Course code
Laboratory
15161A_VIVEAB00_lab
Lecture
15161A_VIVEAB00_elm
Timetable information
Basic things about Electritechnics: History. Electricity as energy carrier. AC, DC Current systems. Multiphase
systems. Practical circuit calculation methods Definition of the active, reactive power in single phase and 3-phase
systems. Calculations with instantaneous values and phasors. Positive directions. Definition of the power sign. Y-D
conversion. Nominal values. Per-unit system. Practical calculation methods of energy converters Calculation
methods of magnetic circuits. Symmetrical components method. Three-phase vectors. Transformers Magnetic
materials. Hysteresis and eddy-current losses. Induced voltage. Excitation balance law. Equivalent circuit and its
parameters. Phasor diagram. No-load and short-circuit. Definition of the DROP. 3-phase transformers, connections,
phase-shift, parallel connection. Magnetic field of the electromechanical energy converters Magnetic fields of the
electrical machines: stationary, pulsating and rotating field. Generation of the rotating field. Torque development.
Frequency condition. Operation principles of the basic electromechanical energy converters 3-phase synchronous
machine. Condition of the steady-state torque. Synchronous speed. Cylindrical synchronous machine. Equivalent
circuit. Pole-voltage, armature voltage, synchronous reactance. 3-hase induction machine. Condition of the steadystate torque. Slip-ring and squirrel-cage rotor. The slip. Equivalent circuit. The DC machine. The commutation.
Power electronics, electrical drives Basic converter connections. Electrical drives: starting, braking, speed
modification. Electrotechnical environment protection Electromagnetic compatibility (EMC). Low and high frequency
effects. Electrostatic discharge. Electromagnetic impulses. Electrical safety regulations Basics, methods, limits,
measurements. Electrical energy storage Chemical, electrical, magnetic, mechanical energy storage. Fuel-cells.
Electrotechnical applications, trends Requirements of sustainable development. Application of alternative energy
sources. Alternative electrical vehicles. New materials and technologies. Superconductivity. Laboratory practices:
middot; Investigation of high-voltage discharges. middot; Electric shock protection. middot; The transformer. middot;
Electrical rotating machines. middot; Non-conventional energy converters.
Faculty
Faculty of Electrical
Engineering and
Informatics
Course type
Subject code
Subject name
ECTS credit
Grade type
BMEVIVEMA08
Electric Vehicles
4
Exam
Course code
Lecture
15161A_VIVEMA08_elm
Practice
15161A_VIVEMA08_gyak
Timetable information
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