The aim of the course is to introduce the 3 dimensional detailing of steel-, reinforce concrete- and timber structures to the students. The course intends to develop basic practical skills by real 3D modelling of structures where the model is able to provide drawings and lists automatically for fabrication and construction processes. The course provides insight into the integration of the 3D constructional model of structures with other branches like architectural, mechanical, electrical and plumbing models into a BIM (Building Information Modelling) model. The students will learn the necessary knowledge and also obtain experience for the later project home works and diploma works by the help of presentations, small examples and a modelling home work.

The aim of the course is to present acoustic comfort as an architectural design aspect that is necessary for the function of the building, to shape the architectural design mindset, to promote the creation of quality, modern buildings, to present the objectively measurable and subjective factors determining acoustic comfort, to illuminate the relationships between the characteristics determining acoustic comfort and other design objectives, and to clarify the connection between building function and acoustic requirements.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATPHDKVK1-01

https://portal.vik.bme.hu/kepzes/targyak/VIHIAV39/en/
The basic objective of "Administrating Computer Networks I." is to introduce the practical administration of computer networks - including network design, installation, and configuration of network devices. This subject gives the basics of "Administration Computer Networks in Practice II." (VIHIAV42) subject, thus providing adequate theoretical and practical knowledge and the way of its direct application. The students who successfully complete also the subject "Administrating Computer Networks II" acquire the knowledge and skills required for the Cisco CCNA (Cisco Certified Network Associate) certification. The certification can be obtained in authorized examination centers, independently from the University education.

The aim of the course is to acquaint students with the physical effects involved in the formation and propagation of vorticity, the characteristics and description of potential flows, the boundary layer approximation system, the boundary layer stability, turbulence modeling, the numerical solution of the boundary layer equation, the gas dynamics flow phenomena related computational methods, modeling of hydraulic systems and pipeline transients, and key physical characteristics of atmospheric flows.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGTNWAM 
 

ONLY FOR MSc STUDENTS!
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNWAT

The aim of the course is to acquaint students with the concepts of thermodynamics beyond the introductory level, the analytical and numerical calculation methods of thermodynamics, the levels of thermodynamic modeling, the relationship between entropy and asymptotic stability, the description of thermodynamic phases, the process-centric approach, the connection points between mechanics and thermodynamics, and generally useful skills regarding modeling, identifying distinguished scales, and analytical and computer calculations. 
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENUVHT

Aero-elasticity is a multidisciplinary science dealing with the interaction of flow and structural oscillations. The aim of the course is to review aero-elastic phenomena occurring in nature and engineering. After a clear presentation of the relevant physical and mathematical background and the solution of examples, the student becomes able to solve simpler but practical related problems. The rapidly evolving FSI (fluid-structure interaction) simulation technique is presented. In addition to describing the theoretical background of FSI, modeling questions are also presented to facilitate the mastering of the advanced numerical procedure.

Aero-elasticity is a multidisciplinary science dealing with the interaction of flow and structural oscillations. The aim of the course is to review aero-elastic phenomena occurring in nature and engineering. After a clear presentation of the relevant physical and mathematical background and the solution of examples, the student becomes able to solve simpler but practical related problems. The rapidly evolving FSI (fluid-structure interaction) simulation technique is presented. In addition to describing the theoretical background of FSI, modeling questions are also presented to facilitate the mastery of the advanced numerical procedure.

https://portal.vik.bme.hu/kepzes/targyak/VITMMA01/en/

https://transportation.bme.hu/wp-content/uploads/2019/12/Transportation-Engineering-Study_plan_2025-Recommended-curriculum-and-subject-decriptions.pdf

Market of air transport. Strategy. Marketing. Controlling. Charges. Airlines and airports.

Textbook: Mark de Berg, Otfried Cheong (Schwarzkopf), Marc van Kreveld, Mark Overmars: Computational Geometry: Algorithms and Applications, Springer, 2008. Basic knowledge of linear algebra, graph theory, theory of algorithms is required. The course presents the fundamental problems, concepts, and methods in computational geometry.Topics:Computation of convex hull in the plane, degenerate cases, robustness.Segment intersection, computing the overlay of two maps.Polygon triangulation, its computation, the art gallery problem.Linear programming in low dimensions, incremental and randomized.Smallest enclosing disc. Range searching, range trees.Point location, trapezoidal maps. Randomized incremental approach.Voronoi diagrams, properties and computation. Arrangements of lines, point-line duality, levels in an arrangement, discrepancy.Triangulations of point sets, Delaunay triangulations, properties, relationship with the Voronoi diagram, computation.Computing the convex hull in the space.The k-set problem, bounds and applications.Crossing numbers of graphs, results, bounds, related problems.

https://portal.vik.bme.hu/kepzes/targyak/VIMAD569/en/
The students get a deeper insight into the theory of linear algebra. There will be a special emphasis on matrix functions, Jordan normal form, and their application for solving systems of differential equations. This way we would like to deepen the student’s knowledge and understanding according to the demands of other subjects.

The aim of the course is to examine teaching and learning by learning about and analyzing the different problem situations in different societies. During the semester, four film works will be presented, which, after admission, must be interpreted and analyzed on the basis of specified criteria. The aim of the study is to explore the life situations of students and teachers living in different cultures, to get to know the situation and actors of education, and to compare social realities. Cinematic productions can be changed every six months according to the objectives. 

The course illustrates and explains the operational decisions and their analysis in production and service systems through case studies. It develops individual problem formulating, modelling and solving abilities. Using up-to-date tools (e.g mathematical programming for resource allocation, simulation for queuing models), complex production and operations management decisions are analysed and supported. Through the tasks of a management simulation of a manufacturing company, the students can develop group decision abilities and can use their theoretical knowledge in practice as well.

Building on the theoretical background obtained in the analytical chemistry course the primary objective of the Analytical Chemistry Laboratory Practice is to gain hands-on experience in the various analytical techniques, i.e., volumetric analysis and instrumental methods of analysis. During laboratory practices the students will learn the workflow of quantitative and qualitative analysis gaining insight in the main parts and practical operation of analytical instruments.
Volumetric analysis:
- Organization of the working groups
- General introduction to the goals of the course and to the analytical tasks to be performed during the semester; laboratory safety handling of chemicals waste; general introduction to the tools of trade.
-Precipitation titration: determination of Cl-ion by Mohr’s method.
- Precipitation titration: determination of Br-ion by Volhard’s method.
Complexometric titration:
-determination of Ca2+and Mg2+ions by EDTA titration;
-determination of Pb2+ions.
Acid-base titration:
- preparation and standardization of the titrant (HCl solution)
- analysis of Na2CO3and NaHCO3using Warder’s method; preparation and standardization of NaOH titrant.
Acid-base titration:
-determination of weak acid CH3COOH.
Redox titrations:
- Oxidation with potassium permanganate. Preparation and standardization of KMnO4titrant. Determination of the concentration of NO2-ions by titration with KMnO4.
- Iodometry: preparation and standardization of Na2S2O3titrant. Determination of the concentration of Cu2+ions.
Bromatometry: Quantitative determination of phenol by Koppeschaar’s method.
Make up opportunity for missed or failed volumetric analysis tasks
Oral exam
Instrumental analysis:
Electroanalysis:
- pH measurements with combined glass electrode;
- quantitative determination of F-ions in toothpaste by fluoride ion-selective electrode;
- quantitative determination of Fe(II) by cerimetric titration using potentiometric endpoint detection,
- quantitative determination of Cl-ion concentration in tap water by precipitation titration using conductometric endpoint detection.
Gas chromatography:
-demonstration of capillary columns,
- qualitative analysis of unknown organic mixture using Kovats retention index
- quantitative analysis of an unknown organic mixture
- demonstration of the GC-MS method and instrument.
High performance liquid chromatography:
- quantitative analysis of caffeine content of soft drinks using RP-HPLC method.
- determination of the parameters characterizing the efficiency of separation
Immunoassay:
- quantification of alfa-fetoprotein (AFP) in blood serum by enzyme-linked immunosorbent assay (ELISA)
Fluorimetry:
- determination of quinine from a soft drink.
Atomic absorption spectroscopy, optical emission spectroscopy:
- Quantitative analysis of Mn, Fe from limestone samples by flame atomic absorption spectroscopy (flame-AAS)
- Quantitative analysis of Na by flame atomic emission spectroscopy (FAES).
UV-Vis spectrophotometry:
- Spectrophotometric determination of NO2-content in tap water using the sodium salicylate method.
Make up opportunity for missed or failed instrumental analysis tasks
Oral exam

Applications of Data ProcessingThe course presents model-based algorithms for information processing related to embedded systems. https://portal.vik.bme.hu/kepzes/targyak/VIMIMB06/en/

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.

Subject data sheet Applied Electrochemistry Name of the subject in Hungarian: Alkalmazott elektrokémia
Course ID
Assessment
Credits
BMEVESAM505
2+0+0/v
3
Responsible person and department: Dr. Höfler Lajos, SzAKT
Lecturer:
Dr. Höfler Lajos
assistant professor
SzAKT
Subject is based on: Basics of analytical chemistry and physical chemistry; university level matematics, physics and chemistry
Requisities: Analytical Chemistry I, Physical Chemistry I
Aim of the subject: This course focuses on two major fields of electrochemistry: sensors and energy storage devices. Students can learn about theory, development and the analytical methods of some widely used electrochemical sensors, and batteries. The discussed topics cover the thermodynamics and kinetics of these devices. Various simulation methods to describe the response mechanism are included.
Detailed program of the subject: • History of electrochemistry:o Early Yearso Developments in the XX. centuryo The role of electrochemistry in the 21st century• Operation principles of batteries:o Galvane cello Battery voltageo Charge capacityo Specific energy, energy density, specific performance, Ragone ploto Charge efficiency, energy efficiency, self-discharge• Most important battery types:o Lead batteryo Nickel batteries: nickel-cadmium, nickel-metal hydride batteryo Sodium batteries (ZEBRA)o Metal-air batteryo Lithium batteries• Electrochemical sensors.o Blood sugar sensoro Measurement of electrolyteso Lab-on-a-chip sensors• Electrochemical Methods.o Cyclical voltammetryo Impulse voltammetryo Amperometryo Electrochemical impedance spectroscopy• The theory of electrochemistry:o Potentials and thermodynamics of electrochemical cells (Nernst equation)o Kinetics of electrode reactions (Butler - Volmer model)o Mass transport, diffusion and migrationo Microscopic and macroscopic theory of material transport (Fick, Nernst - Planck Equations)• Basics of computer simulation of electrochemical devices:o Finite difference methodo Finite element methodo Molecular dynamicso Empirical modelso One-particle modelo Porous electrode modelo Heat and deformation models• Promising technologies:o Electrochemical DNA sequencingo Supercapacitors and flywheelso Lithium-air, lithium-sulfur batterieso Redox flow batteries
Method of education: lecture
Requirements of accomplishment of the subject: a. Participation in at least 75% of lectures.
b. Passing the examination.
Additional possibilities of accomplishment: According to TVSz.
Consultations: Consultation time slots are available on demand.
Course-book and literature: Linden D, Reddy TB; Handbook of Batteries (Third Edition)
Bard AJ, Faulkner LR; Electrochemical Methods (Second Edition)
Average study time needed: 28 h lecture, 35 h preparation for examination, 27 h preparation for lectures
Program of the subject has been developed by:
Dr. Höfler Lajos
assistant professor
SzAKT

The objective of the subject is the presentation of the basic theories and methods of fracture mechanics, and their application in the field of civil engineering. The basic definitions of fracture mechanics and their mathematical representation, and the basic calculation methods are also introduced. The design methods in Eurocode based on fracture mechanics are presented.

Band structure of metals and semiconductors, electron transport, electron scattering mechanisms, 2 dimensional electron gases, Si technology (FET, SSD memory), semiconductor heterostructure (semiconductor laser, MEMT), nanoelectronics, single electron transistor. – Magnetic materials, origin of magnetic momentum and interaction between moments, magnetic structures. Magnetism of metals, spin polarized bands, spintronics devices (spin valve, MRAM). Spin transistor, magnetic semiconductors.
– Jenő Sólyom: Fundamentals of the Physics of Solids (Springer 2007) – Thomas Ihn: Semiconductor Nanostructures: Quantum States and Electronic (2009)

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
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.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
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 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.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
Thestudents choose from the topics offered by the Department of History of Architecture and Monument Preservation and conduct research independently or in small groups. They are introduced to the basic methods of research in architectural history, architectural theory, and monument preservation, such as research in the specialist literature, archives, design and map archives, research techniques, etc., and apply them in practice. The range of possible topics is determined by the department and the personal interests of the students. In addition to architectural issues, students and their consultants also deal with interdisciplinary topics and issues relevant in an international context, reflecting the openness and inclusive-synthesizing nature of the course and the program. As part of the course, students work independently, with the help of consultation, to process a set of issues, summarize them in the form of a study, and present them at a final conference, all in English. The fundamental goal is to develop the given topic based on the university"s educational principles and the synergy between student motivation and lecturer competence.
General information and previous research topics are listed in the Moodle:
https://edu.epitesz.bme.hu/course/view.php?id=1435

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department. Please note: this course can only be taken once per term. 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.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
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.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
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.

The history of industrial architecture, the history of Hungarian industrial architecture. Load-bearing structures of halls and of multi-storey buildings. Size standardization. Constructions of space separation, facades, subsytems of space separation constructions (foundations, roof structures, intermediate floors, external wall systems, finishes. Characteristic architectural requirements, social facilities. Logistics: transport, storage. From location to layout, emplacement of industrial plants. Design methodology, re-use, reconstruction. Offices.

https://transportation.bme.hu/wp-content/uploads/2025/02/Tanterv_MSC_A_angol_20250211.pdf

The subject (biochemistry) does not aim at giving comprehensive biochemistry knowledge. Instead it would like to give a short overview of the biochemical pathways and their connections. The first part gives basic knowledge from the field of basic cell biology. The second part focuses to the basic principles of enzymology and bioenergetics. This part gives background to the metabolic processes discussed in the third block. The energy producing processes such as the oxidative phosphorylation and the photosynthesis is embedded into this metabolic part. This metabolic part is followed by the forth, last part which discuss the basics of molecular biology.
Basic chemical and biological principles
Cells are the structural and functional units of all living organisms Prokaryotes, Eukaryotes,Basic cell chemistry,. Cells Are Made From a Few Types of Atoms, Chemical bonds, Water, the most abundant part of cells, Four types of non-covalent interactions, A cell is formed from carbon compounds.
Enzymes The catalysed reactions, Most enzymes are proteins, Enzymes are classified by the reactions they catalyse, How enzymes work, Enzymes Affect Reaction Rates, Not Equilibria, Specificity of Enzymes,Enzyme Kinetics, Enzymes are subject to reversible or irreversible inhibition,Reversible inhibition,Irreversible Inhibition, The regulation of enzyme activity.
Bioenergetics Cells obtain energy by the oxidation of organic molecules, Oxidation and Reduction Involve Electron Transfers,The free-energy change for a reaction determines whether it can occur, Activated carrier molecules: energy currencies, ATP is the most widely used activated carrier molecule, FADH2, NADH and NADPH are important electron carriers, Other activated carriers
Carbohydrate metabolism – glycolysis gluconeogenesis Glycolysis, The reactions of glycolysis, Fates of pyruvate and NADH, Energy yield of aerobic versus anaerobic glycolysis, Other functions of glycolysis, Regulation of glycolysis,Gluconeogenesis.
Carbohydrate metabolism – pentose-phosphate pathway Oxidative phase of the pentose phosphate pathway, The non-oxidative phase of the pentose phosphate pathway
Pyruvate dehydrogenase enzyme complex – TCA cycle Pyruvate Dehydrogenase Complex, Structure of PDC, Regulation of PDC, The TCA cycle, Reactions of the TCA cycle, Energetics of the TCA cycle, Regulation of the TCA cycle, TCA cycle in biosynthetic pathways and anaplerotic reactions, The glyoxylate cycle
Terminal oxidation – oxidative phosphorylation, ATP synthesis in the mitochondria Overview of terminal oxidation and oxidative phosphorylation, Electron transfer fromNADH to O2,The electrochemical potential gradient, ATP Synthase, Energy yield from the electron transport chain, Respiratory chain inhibition and sequential transfer, Coupling of electron transport and ATP synthesis,Regulation through Coupling, Uncoupling ATP synthesis from electron transport
Photosynthesis – Calvin cycle, General features of photophosphorylation Light absorption, Chlorophylls Absorb Light Energy for Photosynthesis,Light-Driven Electron Flow, The cytochrome b6f complex links photosystems II and I, Cyclic electron flow between PSI and the cytochrome b6f complex increases the production of ATP relative to NADPH,. Water is split by the oxygen-evolving complex, ATP synthesis by photophosphorylation, The ATP synthase of chloroplasts is like that of mitochondria, Carbohydrate biosynthesis in plants, Carbon Dioxide assimilation occurs in three stages, Photorespiration and the C4 and CAM pathways
Lipid metabolism – Fatty acid oxidation Lipid transport, Mitochondrial oxidation of fatty acids, Oxidation of a fatty acid with an odd number of carbon atoms, Oxidation of unsaturated fatty acids,Generation of ketone bodies,Biosynthesis of fatty acids,Cholesterol
Protein, amino acid metabolism Nutritionally nonessential amino acids have short biosynthetic pathways, Catabolism of proteins and of amino acid nitrogen, Transamination, Oxidative deamination of glutamate, Ammonia transport, Reactions of the urea cycle, Catabolism of the carbon skeletons of amino acids
Nucleotides Metabolism of purine and pyrimidine nucleotides,Purines and pyrimidines are dietarily nonessential, Biosynthesis of purine nucleotides, Biosynthesisof pyrimidinenucleotides
DNA replication Replication is semiconservative
13. Transcription
Translation The Genetic Code, Cracking of the Genetic Code, Wobble Hypothesis, Translational Frameshifting and RNA Editing, The process of protein synthesis,The ribosome, Transfer RNAs,Stages of the translation process

The main goal of the course is to transfer the basic biotechnological knowledge and approach related to the pharmaceutical industry, which will greatly facilitate the students’ future collaboration with the biotechnologists if they will later be employed in the pharmaceutical industry. The course aims to cover the basic biochemical reactions in living cells, organization and structure of living organisms, presentation of microbiological methods. Building on the basic knowledge acquired, further aim is to present the fields and methods of industrial biotechnology, from the cultivation of productive cells to the extraction of the product. Connecting to the cell-free, exclusively enzyme-based industrial technologies, enzymes and their reactions, as well as certain elements of enzyme kinetics, will also be described. Finally, specific technologies from various areas of broad-based biotechnology will be presented. The semester ends with the presentation of the environmental and human health risks caused by drug residues as orgaanic micropollutants, and shows possible solutions to mitigate them.
Basics of biochemical reactions
Organization into macromolecules
Catabolism
Anabolism (DNA replication, protein synthesis)
Basics of cell biology
Cell components (Membranes, Cytoplasm, Cell wall)
Cell organelles (Nucleus, ER, Golgi, Mitochondrion)
Microbiology
Classification of organisms (Prokaryotes, Eukaryotes)
Microbiological methods (isolation, mutation, cloning)
Biotechnology
Definition
Varieties
History
Biotechnology Operations
Bioreactors
Reproduction (kinetics, breeding methods)
Aeration, mixing
Sterilization
Processing (Cell dissection, Chromatography, Membrane operations)
Enzyme reactions
Reaction kinetics (Michaelis-Menten, Briggs-Haldane)
Enzyme nomenclature
Inhibition – Activation
Factors affecting activity (pH, temperature, etc.)
Heterogeneous phase enzyme reactions
Methods of immobilization
Biotechnological applications
Antibiotics
Steroids
Vaccines
Monoclonal antibodies
Organic acids and their products (Lactic acid, Succinic acid, etc.)
Glycerin and its products
Insect control
Pharmaceutical residues as organic micropollutants
Environmental and human health risks, prediction methods
Solutions to mitigate risks

**2. Course name (English):** Brake Equipment of Railway Vehicles
**3. Role:** sp
**4. Course code:** KOVJA509
**5. Requirement:** f
**6. Credit points:** 2
**7. Hours (part-time education):** 2(7) lecture, 0(0) practice, 0(0) laboratory
**8. Curriculum:** j
**9. Total student workload required to complete the course:** 60 hours
* Contact hours: 28 hours
* Preparation for lectures: 7 hours
* Homework: 6 hours
* Written materials: 7 hours
* Preparation for midterms: 12 hours
* Exam preparation: 0 hours
**10. Responsible Department:** Department of Railway Vehicles and Vehicle System Analysis
**11. Responsible Lecturer:** Miklós Krémer
**12. Lecturers:** Miklós Krémer
**13. Prerequisites:**
* (-), -
* (-), -
* (-), -
**14. Lecture topics:**
Main characteristics of braking of railway vehicles. Structural design and operation of mechanical, pneumatic, and electromechanical brake systems. Block, disc, and drum brake assemblies. Brake rigging and its dimensioning. Hand brakes. Driver’s brake valves and control valves, pneumatic load changers. Placement of brake equipment on railway vehicles. Electromagnetic and eddy current rail brakes. Anti-slip systems and devices. Heat generation and temperature rise during braking. Railway braking operations, calculation of braking distances. Braking considerations in train formation. Braking of long trains. Braking of high-speed trains. Braking longitudinal dynamics.
**15. Practice topics:**
* None
**16. Laboratory topics:**
* None
**17. Learning outcomes:**
*Knowledge (T):*
* Understands the specific characteristics of railway vehicle braking.
* Knows the structural design and operation of mechanical, pneumatic, and electromechanical brake systems of railway vehicles.
* Knows the control and regulating elements applied in railway vehicle braking systems and their operation.
* Understands the operational principles of railway vehicle braking, including the associated calculation procedures and methods.
* Understands the strength, tribological, thermal, and dynamic loads and processes related to railway vehicle braking, as well as methods for their management.
*Skills (K):*
* Able to identify the individual components of railway vehicle brake systems and analyze their operation.
* Capable of performing basic numerical analysis and testing of strength, tribological, thermal, and dynamic tasks associated with the braking process of railway vehicles.
*Attitude (A):*
* Shows interest in a wide range of technical issues related to railway vehicle braking.
* Independently seeks information on new technical solutions in the field.
*Responsibility (F):*
* Expresses independent opinions on issues related to railway vehicle braking.
* Takes responsibility for the adequacy of the applied procedures.
**18. Requirements and grading (signature) procedure:**
Two midterm tests will be administered during the semester. To achieve at least a passing grade for the continuous assessment, submission of the semester homework and achieving at least a passing grade in each of the two midterms are required. The semester grade is the rounded-up average of the two midterm grades. Meeting the expected learning outcomes in full is also a prerequisite for a passing grade.
**19. Make-up opportunities:**
Homework can be submitted until the end of the semester. Each midterm can be retaken once during the semester and again during the make-up period if necessary.
**20. Notes, textbooks, and references:**
* György Sostarics – Vilmos Balogh: Railway Vehicles. Tankönyvkiadó, Budapest, 1991.
* György Sostarics: Brake Equipment of Railway Vehicles. Departmental notes, Budapest, 2004.

During semester work, students gain knowledge on the following topics: Flat and deep foundations. Underground waterproofing. Panel-type, block-type, and pillar-type construction systems. RC., steel and wood load-bearing floor systems, stairs, and balconies. Non-utilized and utilized roof structures (accessible flat roofs, green roofs). Water insulation against domestic water. Chimneys and building ventilation. Main structures of industrial halls.

This subject presents the details of the main load-bearing constructions (walls, floors, stairs) and the joints between them. Wall supported / skeleton frame, or mixed construction.Walls: Effects on walls, and how to fulfil the requirements. Sorting the walls by function, position, material, by layer-order. Walls built from elements, the development of walling elements.Floors: Functions, effects on floors, how to fulfil the requirements. Elements of floor construction. Types: plain floors (in details), arches (overview). The materials, construction lines, building methods, About the future of floors Joints between walls – floors, skeleton frames – floors. Methodology of the floor design.Stairs: Functions, effects on staires, how to fulfil the requirements, principles of stressing and how to choose construction. Sorting the constructions by material, load bearing method, building method … etc. Design possibilities.

General and detailed review of the structures of the elevation constructions. The most important aim of the subject is the analysis of the external separating constructions. Principles of the continuity of the protecting levels depending on the position in the structure. Multi-layer external separating walls, construction methods of the elevation claddings and elevation coverings, the ordinary and special external doors and windows. Complementary structures for the external doors and windows, especially the shading devices. Requirements for the external separating structures and performances of the different constructions. Building physics: heat and vapour physics, acoustic features of the external separating structures.

The aim of the subject is to familiarize the student with the basic building engineering and energetic concepts and simplified building engineering sizing that occur during architectural studies and later work. The student acquires further knowledge in the fields of heating technology, air conditioning technology and renewable energy. The subject's matter prepares the student by applying the knowledge acquired here, enables to solve complex and unique building engineering and energetic tasks. Based on the competencies described in the topic requirements, based on the knowledge acquired in the Building Energetics subject in the architectural engineering training, the student is “Able to determine the adequate mechanical system for an energy efficient design of the building including heating, ventilation and air conditioning”

Calculation of heat loss of buildings. Energy consumption of a heated space. Introduction to fluid flow. Classification of Heating. Central heating. Elements of water heating system. Pipe distributing networks Emitters and surface heating. Controlling. Renewable energy sources for heating and producing domestic dot water. Introduction to psychometrics. Psychometric processes. Ventilation (Classification, natural ventilation and mechanical one, fundamental systems of air inlet and extract) Estimation of the necessary air volume. Air heating and cooling systems. Air conditioning.

The aim of the course is to integrate the encyclopaedic knowledge of building constructions acquired in the pre-specialisation courses at the building scale, to develop the ability to think and adapt to structural choice, requirements and performance-based building construction design, to understand the logic of building systems and to practice their application, primarily through the development of large-scale residential and small public buildings. In this context, the exploration of the characteristics of each building type, together with the appropriate structural subsystems and detailed solutions, is justified, and the independent establishment of a system of requirements for the building types under consideration, with its documentation broken down into individual elements, can be mastered. The subject also develops the practical application of building acoustic, fire protection and building physics principles in design practice through the implementation of complex, modern, realistic tasks.

Aim: investigate the economic side of a real estate development emphasizing the Social cost and benefit of development.This module concentrates economical computation models, theories dealing with real estate valuation. There is a homework concerning with calculation, valuation of a real estate development. Successful submission is required for the module acceptance. Written mid-semester test as indicated, minimum pass grade required. Following main topics are discussed: construction cost, estimates, time value of money, building life cycle cost , measuring the worth of real estate investments.

- Recommended entrance level: B2
- The aim of the course is to make students participate in business communication in French, to master business German vocabulary and to understand business processes. The course is aimed at students pursuing economics and engineering studies, which can provide them with the opportunities to understand and accept the similarities and differences in economic and engineering approaches.
- After completing the course, students will understand not only professional texts but also texts and videos intended for a wider audience, and they will be able to write texts related to managerial work (e.g., summary, reminder, official letter). As a result of the structured development of economic vocabulary, students are able to participate in workplace communication, can comment on economic events, and gather, organize, and share information about companies.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

Recommended entrance level: B2
- The course is aimed to engage students in business communication in the target language, to master business English vocabulary and to understand business processes. The course is aimed at students pursuing economics and engineering studies, providing them with the opportunities to understand and accept the similarities and differences in economic and engineering approaches.
- After completing the course, students will understand not only professional texts but also texts and videos intended for a wider audience, and they will be able to write texts related to managerial work (e.g., summary, reminder, official letter). As a result of the structured development of economic vocabulary, students are able to participate in workplace communication, can comment on economic events, and gather, organise, and share information about companies.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

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.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGIBSKCALA-01

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATBSGPCFD-01

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 and construction site planning.

Differential equations: Separable d.e., first order linear d.e., higher order linear d.e. of constant coefficients. Series: Tests for convergence of numerical series, power series, Taylor series.
Functions of several variables: Limits, continuity. Differentiability, directional derivatives, chain rule. Higher partial derivatives and higher differentials. Extreme value problems. Calculation of double and triple integrals. Transformations of integrals, Jacobi matrix.
Analysis of complex functions: Continuity, regularity, Cauchy - Riemann partial differential equations. Elementary functions of complex variable, computation of their values. Complex contour integral. Cauchy - Goursat basic theorem of integrals and its consequences. Integral representation of regular functions and their higher derivatives (Cauchy integral formulae).

The subject is aiming to teach the students the elementary theoretical and practical knowledge of the control, so that, the engineers of the future will be able to work in a team that designs plants, technologies, devices and these items are to be controlled. Such a work needs also control knowledge for the chemical and biochemical engineers.
Why to control? History of the control. The role of a chemical and/or biochemical engineers in a team that designs control for a plant or unit operation.Feed back and feed forward control. Their comparison.The „languages” of the control science, theory, differential equation – time domain; trandfer function, Laplace transformation, Laplace domain; frequency function, frequency domain, Nyquist diagram, Bode diagram.
Single input single output (SISO) systems.Typical mathematical models in the process control study.Typical test signals. Their correlation, Transfer function, frequency function.Proportional unit, dead time element, first order unit. Their differential equation, transfer functions, responses to typical test signals. Frequency functions.Examples for first order elements. Thermometer, heat exchanger, buffer vessel, chemical reactor (CSTR)
Determination of the parameters of a first order unit, time constant and process gain. Methods for the determination of the time constant.
Second order elements. Examples, differential equation, transfer function, responses to typical test signals. Demonstration of the effect of elements in series. Damping coefficient, classification of second order units.Higher order elements, their representation.Integral unit, derivative unit.Controllers, Switch on-off controller, P,I, D controllers. Characterization f the P, I and D controllers, their models, features,  functions, area of application.Controller tuning methods.Basic controls, flow control, level control, transmitters, case studies,
Actuators, control valves, characteristics.Control of unit operations.Control of evaporators, pairing of manipulated and controlled variables.
Control of rectification columns. Control structure, pairing at different kinds of rectification, sensor location, manipulated variables.

The purpose of the course is to describe the modern methods of the professional field and the possible methods of process design.
The important parts of the course are the determination the decision steps between batch and continuous processes and the application of scheduling algorithms in this area. The course material includes the presentation of the application areas of basic unit operation items on industrial case studies.
An important part of the course is the description of the special methods of controlling chemical processes, which also includes the control of multivariable processes. In this part, the different control structures play an important part, e.g. adaptive control, fuzzy logic, neural networks.

The aim of the course is to introduce the fundamentals of chemical technology and its role in the chemical, petrochemical, pharmaceutical, electronic and energy industries. Demonstrate the role of chemical, petrochemical, and pharmaceutical industries in the world. Identify key concepts of catalysis used in technology. Introduce the fundamentals of chemical engineering. Review the production and storage of energy.  Describe the most important raw materials. Discuss the chemical processes related to water and including corrosion. Identify the most important inorganic products and their production technologies.  Overview synthetic fuels, C1-chemicals and other organic products as well as the technologies for their production. Identify key concepts of biotechnology and demonstrate their applications.
1. The role of chemical technology in the World ant the fundamentals of chemical technology. 2. Catalysis in chemical technology. 3. Fundamentals of chemical engineering. 4. Energy production. 5. Water. 6. Raw materials. 7. Inorganic chemicals. 8. Energy storage. 9. Synthetic Fuels. 10. C1 chemicals. 11. Organic chemicals. 12. Plastics and microplastics. 13. Agrochemicals. 14. Biotechnology.

Unit Operations of Chemical Engineering. Continuity equations, mass balance, component balance, energy equation, momentum balance, equations of motions, transport equations. Fluid mechanics, concepts of fluid behaviour, steady flow, rheology, viscosity, boundary-layer formation, friction factor. Navier-Stokes, Euler and Bernoulli equations. Transportation of fluids. Hydrodynamic models, flow in pipes and channels, pressure flow through equipment, pressure drop across packed towers.
Mechanical unit operations: mixing, sedimentation: thickeners, filtration. Electrical and magnetic methods, centrifugal separation, fluidization, pneumatic transport, gas cleaning: cyclones. Flow of heat, conduction, convection, radiation. Rate of heat transfer, heating and cooling: viscosity correlation. Dimensional analysis. Heat transfer of condensation, steady and unsteady-state heat transfer. Heat transfer in shell and tube heat exchangers. Evaporation, boiling point rise. Standard and multiple-effect evaporators, vapour compression.

https://transportation.bme.hu/wp-content/uploads/2025/02/Tanterv_MSC_L_angol_20250211.pdf

https://portal.vik.bme.hu/kepzes/targyak/VITMMA14/en/

The main objective of the course is to provide a strong colloid chemical background of preparing, characterizing and application of nanomaterials.
INTRODUCTION – THE MODERN HISTORY OF COLLOID SCIENCE
2.CLASSIFICATION OF COLLOID SYSTEMS
2.1. Classification by the quality and structure of colloid particles
2.1.1. Microphases
2.1.2. Macromolecules
2.1.3. Micelles
2.2. Classification of the colloid systems by the network forming ability of the colloid nanoparticles
2.3. Traditional significance of colloid systems
3. STABILITY OF DISPERSIONS
3.1. Interpretation of the kinetic stability
3.2. Surface electric properties of microphases
3.2.1. Formation of surface electric charge
3.2.2. Formation and description of the electric double layer
3.2.3. Electrokinetic phenomena, zeta potential
3.3.1. Electric double layer repulsion
3.3.2. Dispersion (van der Waals) attraction
3.3.3. Conclusions of the DLVO theory
3.3.4. Coagulation kinetics and mechanism (basic concepts)
3.4. Stabilization – destabilization with macromolecules and surfactants
3.4.1. Macromolecules (polymers)
3.4.2. Surfactants
3.5. Structural colloid interactions
3.6. Peptization
3.7. Sedimentation of suspensions, structured suspensions
4. PREPARATION OF DISPERSIONS
4.1. Disintegration of macroscopic material ensembles
4.2. Preparation of dispersions by condensation
4.2.1. Nucleation in solutions (Preparation of lyosols)
4.2.2. Homogeneous vapour phase condensation
5.CHARACTERIZATION OF SIZE AND SHAPE OF COLLOID PARTICLES
5.1. Shape of particles
5.2. Size of particles
6.TECHNIQUES FOR DETERMINING PARTICLE SIZE AND SHAPE
6.1. Observing individual particles: imaging techniques
6.2. Techniques yielding average particle size
6.2.1. Sedimentation in gravitational field
6.2.2. Sedimentation in a centripetal field
6.2.3. Osmotic pressure of colloids
6.2.4. Light scattering of colloid particles
7. RHEOLOGICAL BEHAVIOUR OF COLLOID SYSTEMS
7.1. Basic concepts, types of ideal rheological behaviour, relativity of rheological behaviour
7.2. Viscosity of dilute dispersions
7.3. Intrinsic viscosity, molar mass of linear, neutral macromolecules
7.4. Rheology of concentrated dispersions, pseudoplasticity, dilatancy, thixotropy
8. INTERFACES
8.1. Liquid-gas interface, surface tension
8.2. Curved liquid surfaces: capillary pressure, ageing of colloidal dispersions
8.3. Liquid-liquid interface, cohesion and adhesion energies, spreading criterion
8.4. Solid-liquid interface, wetting
9.ADSORPTION
9.1. Adsorption at liquid-vapour interfaces: surface tension of aqueous solutions
9.1.1. Insoluble monomolecular films
9.2. Adsorption at solid-gas interfaces
9.2.1. Characterization of porous adsorbents
9.3. Adsorption at solid-liquid interfaces
9.3.1. Non-electrolyte adsorption, mixture adsorption
9.3.2. Adsorption of electrolytes at solid-liquid
10.ASSOCIATION COLLOIDS, MICELLES
10.1. Building blocks of micelles: amphiphilic molecules
10.2. Micelle formation, critical micelle concentration
10.3. Greatness of CM, Krafft- and cloud phenomenon, solubilisation
10.4. Types of micelles: small- and large micelles, vesicles, liposomes and reverse micelles
11.FOAMS AND EMULSIONS
11.1. Foams
11.2. Emulsions
12.COLLOID CHEMISTRY IN NANOTECHNOLOGY
12.1. The evolution of nanotechnology
12.2. Nanomaterials and their classification
12.3. Nano-scaled self-assembly and growth
12.4. Nanostructured coatings, nanomorphology, superhydrophobicity
REFERENCES

The aim of the Colour Dynamics course is to familiarise students with: The relationship between colour and colour, colour and people, colour and the built environment. To understand the major role of colour in the development of individual creative character and meaningful built environment. Understanding the process of exterior and interior colour design. The concept and conditions of colour harmony, different theories of harmony and colour systems. Understanding the characteristic colours associated with different historical periods. To learn about the most important historical and ongoing research on colour harmony in the Department of Forms, Drawing and Design. Problems of different approaches to current and future colour design problems, free of any period schemes, focusing on the eternal expression of colour.

https://portal.vik.bme.hu/kepzes/targyak/VISZMA09/en/

Enumerative combinatorics (permutations and combinations, binomial theorem, theorems on the binomial coefficients). Significant methods for enumeration, pigeonhole principle and the sieve.
Basic Graph Theoretical notions (vertex, edge, degree, isomorphism, path, cycle, connectivity). Trees, Cayley's formula, Prüfer-sequences. Kruskal's greedy algorithm. Characterization of bipartite graphs. Matchings, theorems of Kőnig, Hall and Frobenius, Tutte theorem, Gallai's theorems. Network flows, the Ford-Fulkerson algorithm, Edmonds-Karp algorithm.
Menger's theorems, higher vertex and edge connectivity of graphs, Dirac's theorem.
Euler's result on Eulerian tours and trails.
Hamiltonian cycles and paths, necessary condition for the existence. Sufficient conditions (theorems of Dirac, Ore, Pósa and Chvátal).
Planarity, relation to embeddability on the sphere and the torus, stereographic projection, Euler polyhedron theorem, Kuratowski's theorem, Fáry theorem.
BFS and DFS, algorithms for shortest paths (Dijkstra, Ford, Floyd), PERT.

Important note:
ONLY FOR MSc STUDENTS!According to the rules, any MSc student can be enrolled. However, this subject strongly builds on your existing Fluid dynamics, Thermodynamics, and Heat transfer knowledge. Completion of Heat engines is recommended.
CONTENTS:
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNWCO
This subject is discussing combustion from both fundamental (first half of the semester) and practical point of views (second half of the semester).
1. Introduction, administration. State-of-the-art devices and technologies. Gross reactions.
2. Flame stabilization, fluid dynamics, and non-dimensional numbers.
3. Reaction pathways and pollutant formation.
4. Fuel properties in general.
5. Gaseous, liquid, and solid fuels.
6. Fuel evaporation.
7. Midterm exam 1.
8. Combustion modes and turbulence.
9. Combustion safety and control.
10. Free jet and gas burners.
11. Atomization and liquid fuel burners.
12. Solid fuel burners.
13. Modern combustion chambers.
14. Midterm exam II.
REQUIREMENTS
2 midterm exams
1 project/homework

https://portal.vik.bme.hu/kepzes/targyak/VITMAB06/en/

Recommended input language level: B2 level language skills
- The course prepares students for communication in the workplace, primarily by developing their oral communication skills, and by enhancing their knowledge of successful communication (background to communication problems, effective and successful communication, conflict resolution).
- By the end of the course, students will be able to talk about their studies, their professional interests, their future plans and preferences, and their communication styles and difficulties. They will be able to deal with situations related to disagreements at work, conflicts, joint planning (planning meetings, presenting results). They will be able to explain and defend their position. They will also know the principles of successful and effective communication, be able to analyse communication situations and styles, and be familiar with the principles of constructive conflict resolution.
- Completion requirement: active participation in class (30% absence allowed) and completion of assignments and/or papers assigned during the semester.

Recommended input language level: B2 level language skills
- The course prepares students for communication in the workplace, primarily by developing their oral communication skills, and by enhancing their knowledge of successful communication (background to communication problems, effective and successful communication, conflict resolution).
- By the end of the course, students will be able to talk about their studies, their professional interests, their future plans and preferences, and their communication styles and difficulties. They will be able to deal with situations related to disagreements at work, conflicts, joint planning (planning meetings, presenting results). They will be able to explain and defend their position. They will also know the principles of successful and effective communication, be able to analyse communication situations and styles, and be familiar with the principles of constructive conflict resolution.
- Completion requirement: active participation in class (30% absence allowed) and completion of assignments and/or papers assigned during the semester.

Recommended input language level: B2 level language skills
- The course prepares students for communication in the workplace, primarily by developing their oral communication skills, and by enhancing their knowledge of successful communication (background to communication problems, effective and successful communication, conflict resolution).
- By the end of the course, students will be able to talk about their studies, their professional interests, their future plans and preferences, and their communication styles and difficulties. They will be able to deal with situations related to disagreements at work, conflicts, joint planning (planning meetings, presenting results). They will be able to explain and defend their position. They will also know the principles of successful and effective communication, be able to analyse communication situations and styles, and be familiar with the principles of constructive conflict resolution.
- Completion requirement: active participation in class (30% absence allowed) and completion of assignments and/or papers assigned during the semester.

https://portal.vik.bme.hu/kepzes/targyak/VIHVMA18/en/

Taking part in architectural competitions is one of the ways for an architectural practice to express architectural opinions or to obtain contracts. As part of the course, students can learn about the legal and theoretical background of architectural competitions and gain routine in participating in them by taking part in the mini-competitions announced in class during the semester. These tasks deal with current architectural affairs, universal design, and the frontiers of the profession, with constantly updated topics. Students have the opportunity to experience competitions from multiple perspectives, taking part both as participants and as members of the jury, deepening their understanding of the evaluation process and design discourse. Throughout the semester invited professionals talk about the routine and participation strategies of their own practices.

Subject datasheet:
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEPTBGE1

The goal of the course is to introduce the approximate solutions applicable in various flow categories, the theoretical foundations of turbulence modeling, numerical solution methods, and the errors of numerical modeling. Overall, it develops technical thinking and perspectives. Additionally, the aim of the subject is to enable students to recognize and correctly assess mechanical engineering problems related to the course material based on the acquired knowledge.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATPHDNUMA-01

Based on the quantum mechanics, solid-state physics and statistical physics courses in the Physics BSc studies, this course gives an introduction to theoretical methods used for describing magnetic ordering, excitations and transport in spin systems on the nanoscale. The course will cover the following topics: Atomistic spin Hamiltonians and types of interactions (Heisenberg, Dzyaloshinsky-Moriya, magnetocrystalline anisotropy, symmetry considerations). Themicromagnetic model and its connection to the atomistic description. Long-range magnetic order (ferromagnetism, antiferromagnetism, spin spirals) and solitons (domain walls, vortices, skyrmions). Dynamics of spin systems (Landau-Lifshitz-Gilbert equation, thermal noise). Excitations of ordered magnetic systems (linear spin-wave theory,Mermin-Wagner theorem). Topological magnon insulators. Magnon-magnon interactions based on Green's functiontheory. Interaction of magnetic configurations with spin-polarized currents and thermal gradients (spin transfer torque, magnonic spin current, transversal transport coefficients). Lifetimes of metastable magnetic configurations. Phase transitions (mean-field theory, spin-wave expansion). The theoretical methods discussed in the lecture will be practiced in computer simulations performed during the tutorials.

The aim of the subject is to give an overview about the IT tools, softwares and algorithms that can support the construction projects, let them be management or process related. We introduce the latest applications in theory and practice.

Objectives, learning outcomes and obtained knowledgeThe aim of the course is to teach the design, operation and features of modern computers. Knowing the main characteristics of the hardware enables the development of efficient software that makes better use of the resources of computers.Learning outcomes of the course:- Information processing models, control flow architectures, instruction sets- Fundamentals of I/O peripherals, traffic control, interrupts, DMA, interconnects- PCI, PCI Express and USB interfaces- Design, operation, and performance analysis of mass storage devices- Memory technologies, DRAM based memory systems, design, operation and performance analysis- Virtual memory management, concepts, operation, basic data structures, performance implications- Cache memory, organisation, management- Locality-aware programming techniques- Pipeline based instruction execution, optimization- Basic algorithms for out-of-order instruction execution, register renaming- Wide pipelines, superscalar processors- Branch prediction algorithms, branch prediction-aware programming techniques- Forms of parallel processing, Flynn taxonomy- Data parallelism, vector processors, SIMD instruction sets- Classification of multiprocessor systems, basic concepts- Fundamental problems of distributed memory management, cache coherence and memory consistency

A tantárgy a BSc-képzés során elsajátított statisztikus fizikai, kvantummechanikai és programozási ismeretekre építve bemutatja a legalapvetőbb szimulációs technikákat és betekintést nyújt az újabb fejleményekbe.Kiemelt témakörök: Monte Carlo módszer (véletlen számok generálása, fontossági mintavétel, Metropolis algoritmus, határfeltételek, sokaságok, átlagok, karakterisztikus idők, kvantum). Fázisátalakulások (véges méret skálázás, kritikus lelassulás, gyorsítási technikák, kvantum spinlánc). Diszkrét modellek algoritmikus vonatkozásai (perkoláció, mágneses modellek, rácsgázok, sejtautomaták, növekedési modellek). Sztochasztikus differenciálegyenletek (osztályozásuk, a zajok fajtái, módszerek, instabilitások). Schrödinger-egyenlet, kvantum spinlánc (Lánczos-módszer). Molekuláris dinamika (kölcsönhatások, megoldási módszerek, sokaságok, eseményvezérelt MD, instabilitások). Hálózatok és alkalmazásai (clustering, page rank). Algoritmikusan definiált modellek: önszervező kritikusság, játékmodellek, Nash-egyensúly). Deep learning alapjai.

Curricula, themes, individual projects, tests, subjects of lectures and seminars of the Course are embracing managerial and organizational learnings useful and necessary for all civil engineers, such as: - jobs and organizational structure of Contracting Construction Trade; - jobs and relations of parties collaborating in executing construction projects;- time and resource needs of executing construction projects (basic methods and terms of time-, resource- and cost estimates);- basics of mechanizing Construction, construction equipments and auxiliary plants, typical applications;- organizing construction site (site layout designs).Individual project: Organizational plans (time estimates, resources calculations and site layout designs) of building a simple linear structure (reinforced concrete retaining wall) well known in practice of all civil engineers.

The course aims to introduce architectural CAD modeling, promoting a higher level of understanding and creation of geometric forms used in architecture, so that students learn to consciously interpret more complex architectural forms and build and reconstruct them in a CAD system.

The reliable and environmentally friendly management of technological, physiological, economic and environmental processes is one of the tasks of an electrical engineer requiring both abstraction and application skills. The subject introduces students to the basics of control technology, the operating principles of control systems using the perception-decision-intervention paradigm, the analysis and synthesis of control circuits built from linear elements and the related services of the computer development environment providing support for this. A student who successfully completes the requirements of the subject will be able to: (1) explain the basic concepts of control engineering, standard elements and signs of the control circuit, identify them in the case of a real system, describe and evaluate in a comparative way the qualitative characteristics of a control circuit, (2) apply the methods learned for examining the stability of analogue and digital control circuits in a univariate, linear case, and qualitatively determine stability reserves, (3) present and interpret the elements of the specifications used for sizing the controls, the theoretical and practical limitations taken into account during sizing, (4) apply model-based control design paradigms and procedures for continuous and discrete time, in the case of univariate linear systems, starting from different representations of the stage to be regulated, and select the procedure to be used for the given control task, (5) apply the services of the Matlab/Simulink development environment supporting the analysis of control circuits and the scaling of controllers, (6) explain how to identify parameters of univariate stable transfer functions, (7) in later studies, special courses in control theory (optimal and robust control, identification, control of nonlinear systems, etc.) and specializations based on control engineering knowledge (control systems, embedded systems, intelligent robots and vehicles) and subjects are taken, as well as laboratory exercises.
https://portal.vik.bme.hu/kepzes/targyak/VIIIAB10/en/

This is an introductory course to basic knowledges of traditional and modern energy production technologies. Topics cover the basics of fossile, fissile and renewable energy carriers, various power plants and thermodynamic cycles, efficieny improvement. We discuss in detail the wind, solar, water, biomass, geothermal, hydrogen and non conventional fossile energy sources

Recommended entrance level: B2
- The course is aimed to develop communication skills through the topic of cultural differences and prepare participants for managing intercultural situations they might face in their academic and/or professional career in a globalised world. The focus is on oral skills development, though reading and listening comprehension, as well as writing skills are included.
- Upon completing the course participants will be able to talk about the background of cultural differences, manage intercultural differences with raised awareness and open up to groups from other cultures. Students can identify and analyse the values underlying cultural differences, as well as manage multicultural workplace or scientific and business situations which involve conflict management, discussing, planning and implementing ideas. The course not only develops analytical skills required to gauge and solve intercultural situations, but also emotional intelligence.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

Recommended entrance level: B2
- The course is aimed to develop communication skills through the topic of cultural differences and prepare participants for managing intercultural situations they might face in their academic and/or professional career in a globalised world. The focus is on oral skills development, though reading and listening comprehension, as well as writing skills are included.
- Upon completing the course participants will be able to talk about the background of cultural differences, manage intercultural differences with raised awareness and open up to groups from other cultures. Students can identify and analyse the values underlying cultural differences, as well as manage multicultural workplace or scientific and business situations which involve conflict management, discussing, planning and implementing ideas. The course not only develops analytical skills required to gauge and solve intercultural situations, but also emotional intelligence.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

A special urban design course focusing mainly on urban public space design with the help of invited lecturers and landscape designer consultants. The course is a partly theoretical and partly practical where students get acquainted with special issues and problems of public space definition, basic notions and tools of public realm and public space design. In the design assignment students deal with a smaller spatial entity, where they start from the analysis of the urban problem and provide a possible solution for the publicly attainable zones in between buildings.

Design Methodology course introduces theoretical and practical principles of architectural design flow. The point of theoretical part is to show the history and philosophical aspects of design process, while practice is mainly trained in parallel courses. Through lectures and home works students develop skills of creativity, representation and modeling the real design activities. The process of architectural design thus can be compared to an informatics system, so for making the method more clear. Practical Design Methodology is closely connected to the Public Building Design 2 course, extending it with special design aspects and details. Through analyzing existing buildings and fictional situations interesting practical problems and solutions can be introduced and discussed. Several special methods of new facilities, building reconstructions and technologically or structurally determined buildings are also presented, to gear towards understanding the need for collaboration with design partners. Because of its importance, local and global responsibility, sustainability, free access and ecological design will be touched along whole study, to understand the meaning of “fair architecture”.

The aim of the course is to present the complex processes occurring in drinking water and wastewater treatment technologies and to provide practical knowledge in the fields of design and operation. During the semester, practical sessions on operation and design will also be held.Students will gain insight into technological processes suitable for drinking water treatment, particularly for deep water sources, with a special focus on the removal of iron, manganese, arsenic, and ammonium ions.The course also covers regulatory changes and their impact on the design and operation of water treatment technologies.Various wastewater treatment technologies will be explored for large, medium, and small wastewater treatment plants. Topics include activated sludge processes, biofilm-based methods, case studies, sludge treatment, biogas utilization, and the energy balance of wastewater treatment plants.

The subject aims to learn the hydrological, hydraulic, soil mechanics, and structural design principles of different water management structures and their methods in detail through a complex design task. The subject also aims to present issues of construction, as well as the operational and maintenance tasks. Furthermore, students will learn about the challenges of design, construction, and operation, as well as the possible ways of dealing with them, taking into account environmental impacts.

The aim of the course is to become familiar with the important construction and calculation methods of structural design. The main themes of the course include design of frame structures, bracing of frames, hierarchical structures; construction and design of steel and timber structures, like slabs and frames and other auxiliary elements, like railings, stairs, and furniture. The analysis focuses on both the ultimate limit state and serviceability limit state, and deals with durability and fire protection. The course prepares students for the construction of steel and timber buildings, that is related to architectural needs. Besides getting to know the structural systems, the subject also deals with the dimensioning of structural elements and provides an opportunity to learn modern computer calculation methods.

The aim of the course is to familiarize students with the fundamental principles and advanced concepts in railway station design, including the structural and operational aspects of stations, terminals, and yards. Students will gain an in-depth understanding of turnouts, crossings, and track connections, along with the regulations governing their design and implementation. Special attention will be given to the latest national and international guidelines, emphasizing safety, operational compliance, and sustainable station development. The course will also cover the integration of railway stations into urban transportation networks, exploring multimodal connections and modern technological advancements.

Curves,reparameterization, length. Tangent line, osculating planes, curves of general type. Frenet frame, Frenet's formulas, curvatures. The fundamental theorem of curve theory. Plane curves: osculating circle, evolute, involutes, parallel curves. Rotation number, Hopf's theorem. Convex curves, the four vertex theorem. Curves in space: osculating, normal and rectifying planes, geometrical interpretation of curvatures.Hypersurfaces,parameterization, tangent plane, normal curvature, Meusnier's theorem. Fundamental forms, Weingarten map. Principal Axis Theorem, principal curvatures, Gaussian and mean curvature. Umbilical points, surfaces of rotation, ruled surfaces. Gauss frame, Christoffel symbols, Gauss and Codazzi–Mainardi equations. The fundamental theorem of hypersurface theory, Theorema Egregium. Tensor fields, Riemannian curvature tensor, Bianchi identity.
Manfredo Do Carmo: Differential Geometry of Curves and Surfaces
Szőkefalvi-Nagy Gyula, Gehér László, Nagy Péter: Differenciálgeometria (1979)Balázs Csikós: Differential GeometryV.T. Vodnyev: Differenciálgeometriai feladatgyűjtemény

The course (together with the course entitled Digital Design 1) provides the students with all system level hardware and software knowledge required to the logical level design of microprocessor and microcontroller based digital equipment. The theoretical background is also widened through the solution of design problems during the classroom and laboratory practices and homework assignments. Students successfully passing the course will learn the methods and practices in the design and analysis of microprocessor and microcontroller based systems, obtain detailed understanding of a simple microcontroller, its common peripherals and its assembly language and be able to quickly understand the usage of other microprocessors.
https://portal.vik.bme.hu/kepzes/targyak/VIIIAA05/en/

- Recommended entrance level: B2+/C1
The course is aimed at developing students’ reading and speaking skills in academic and professional contexts. It focuses on improving students’ ability to read technical texts more effectively and consciously, while also enhancing their ability to engage in complex and accurate spoken communication. A further goal is to activate students’ background knowledge in their field and expand their professional vocabulary.
By the end of the course, students will be familiar with a range of reading strategies suitable for different types of texts and reading purposes. They will be able to understand more demanding professional texts, express their views on technical and technological issues, and participate in structured professional or academic discussions.
Completion requirements: Active participation in class (with a maximum of 30% absence allowed) and completion of assignments issued during the semester.

The scope of the subject is to teach the students the basics of earthworks and retaining structures, such as different earth pressure theories, different retaining structure systems and their design rules, basics of design methods according to Eurocode 7, determination of characteristical values of soil properties in engineering practice, slope stability analysis, shear strength properties, different slip surface geometries, theoretical background of slope stability calculation methods. The student shall be familiar with quality control. Furthermore, the types, technologies and applicability limits of soil improvement, soil stabilization and dewatering will be presented.

The European Union is one of the world’s largest economies and one of most important actors of global trade. The course gives a comprehensive overview of the European Union’s economic law and policy, focusing on issues of economic integration, internal market, economic crimes, corporate compliance activities and the regulation of new digital technologies.
The course’s topics are divided into three sections:
- brief introduction into the law and operation of the European Union – historical and economic background, as well as institutional framework, legal order, sources of law;
- economic law and policy in domestic matters – the rules and operation of the internal market, based on the free movement of persons, goods, services and capital;
- economic crimes in a wider sense, corporate compliance activities, new digital technologies and the law.

This course provides an introduction to the fundamental concepts, theoretical models, and logical structures of economic analysis. Students learn about the functioning of market economies, different types of demand and supply elasticities, the logic of consumer and producer decision-making, firm-level profit maximization methods, and the main forms of market structures. The course also addresses the role of government intervention, models of production factors, and problem-solving methods in microeconomics.
Throughout the course, students develop the ability to apply comparative static analysis to market models, evaluate economic processes in terms of welfare, analyze the effects of economic policies, and perform basic economic calculations – such as cost-benefit and present value analysis.

https://portal.vik.bme.hu/kepzes/targyak/VIHIAB03/en/

The main goal is to provide a basic knowledge about the UV, IR, MS and NMR spectroscopic methods used in organic chemistry. The course will be of interest to chemists and analysts in research and industry, especially those engaged in the synthesis and analysis of organic com-pounds including drugs, drug intermediates, agrochemicals, polymers and dyes.
Introduction
The strategy of structure determination of the organic compounds. Basic conceptions of organic structures (configuration, conformation, isomerism, tautomerism, rate processes). Organic microanalysis. Methods to determine the carbon, hydrogen and nitrogen content of the samples. Determination of the sulphur and halogen content. Qualitative and quantitative analysis of some important functional groups.
UV spectroscopy
Electronic structure of the molecules, atomic and molecular orbitals, orbital symmetry, Electronic transitions, and selection rules. Band structures. Chromophores and auxochromic groups. Discussion of some simple chromophores. Conjugation, the Woodward-Fieser rules.
Substituent, solvent and steric effects, Polyenes, aromatic and heteroaromatic structures.
IR spectroscopy
Molecular vibrations, the vibrational and vibrational-rotational spectrum. The two-atomic model, the harmonic and nonharmonic vibrations. Characteristic vibrational frequencies. The correlation between the IR and Raman spectroscopy. Stretching and bending frequencies.
The impact of the structural effects modifying the vibrational frequencies: inductive and mesomeric effects, hyperconjugation, ring strain, steric and isotope effects. Characteristic frequencies of carbonyl compounds, alcohols, amines, nitro compounds, etc. The measurement of the infrared spectra. Sample preparation. The Fourier-transform infrared spectrophotometer.
Mass spectroscopy
The mass spectrometer. Ionization methods (EI, CI, APCI, ESI, MALDI). Isotopes. Ion separation and detection methods. The coupling of the mass spectrometer (GC-MS, HPLC-MS, MS/MS). The importance of the molecule and base peak. Ion chemistry: fragmentation and rearrangement. The most important processes: alpha cleavage, onium reaction, allyl and benzyl-cleavage, McLafferty rearrangement, retro Diels-Alder reaction. Typical fragmentations and rearrangements of organic molecules. Application of isotope abundance determination: halogen compounds.
Nuclear magnetic resonance (NMR) spectroscopy
The nuclear spin. Nuclear spins in magnetic field: the Bloch equations. The measurement of the NMR spectra: CW and PFT. Spectral aquisition. 1H and 13C-NMR spectroscopy. The basic NMR parameters: the chemical shift, the coupling constant. 1H-NMR: Multiplicity and intensity of the signals. The inductive effect, diamagnetic anisotropy, ring currents. Empirical calculation of the chemical shift. The Karplus-curve. 13C-NMR: broadband decoupling, gated decupling. Spectral editing methods: the DEPT and the APT experiments.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEMIBSKMATL-01

Engineering management (EM) in the knowledge-based society. Definition, role and areas of the EM. The evolution of the EM discipline. Peculiarities, generic trends and EM 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. 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. Types of the intellectual property, principles of intellectual property rights. Open access software. Exploitation of the intellectual properties. Intellectual public utilities. ICT specific EM. 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 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, grants, 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 relationship management (CRM), 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. Goals 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, 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.
https://portal.vik.bme.hu/kepzes/targyak/VITMMB03/en/

The objective of the course is that the student shall understand and be aware of the principles and basis of practical methods of engineering risk assessment and analysis, and their application especially to extreme actions (earthquake, fire, extreme snow, blast load, tornado, etc.) It includes the fields of extreme effects, statistics, probability theory, reliability analysis, numerical methods, risk analysis and optimization. It also serves as the basis of the subsequent MSc subjects on modelling, design and programming.The aim is that during the semester, students will acquire a complex knowledge of engineering risk assessment at a level that will allow them to present this competence as an element of their portfolio.

One of the objectives of the course is to enable students to understand the basic principles of reinforced concrete structures in civil engineering, and then, based on this, to learn about the relevant design principles and appropriate construction technologies. Particular emphasis is placed on the interaction between the soil and the structure and its modeling, other geotechnical aspects, the relationship between structural form and force interaction, and the fluid tightness of concrete structures. Main topics: water supply and wastewater treatment structures (liquid storage basins and other tanks), below-ground building structures (underground garages) and the structures supporting their working pits, transport infrastructure structures (concrete pavements, tunnels), above-ground storage structures (bunkers, silos), industrial tower structures (chimneys, cooling towers, wind turbines), as well as the special effects acting on them and appropriate construction technologies (sliding formwork). The aim is to understand the forces acting on these structures, the relevant approximate and detailed analysis methods, and the appropriate reinforcement systems.
Another objective of the course is for all students to significantly improve their problem recognition, problem understanding, and problem-solving skills in relation to their own initial level of competence. To this end, students may also seek individual assistance from instructors. The goal is for students to deepen their knowledge of digital technologies (design software) through independent work at home and to acquire such complex knowledge in the field of civil engineering that their competence can be presented as part of their portfolio.

In the framework of the subject, the students acquire the technical thermodynamic knowledge that forms the physical basis of energy conversion technologies. They become familiar with the conceptual system and terminology of thermodynamics. They apply the principles of thermodynamics, medium and process models to equipment, machines and processes that are common in practice. In addition to imparting knowledge that can be used directly on the labor market, the subject prepares the foundations for later studies, such as, but not limited to, thermal energy machines, flow technology machines, energy conversion technologies, energy, etc. 
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENBGTD
Die Studierenden erwerben grundlegendes thermodynamisches Fachwissen, das die physikalische Basis moderner Energieumwandlungstechnologien bildet. Sie lernen die wichtigsten Begriffe und Prinzipien der Thermodynamik kennen und wenden diese auf praxisnahe Geräte, Maschinen und Prozesse an. Das Fach vermittelt sowohl arbeitsmarktrelevantes Wissen als auch Grundlagen für weiterführende Studien in Bereichen wie Wärmekraftmaschinen, Strömungstechnik und Energietechnologien. 

The goal of the subject is to get to know the basic methods to for designing the engineering works. Special importance has the following questions of the monolithic construction technology: waterproofing, thermal loading modelling the long term deformations. Further goal is to master the modelling of interaction between soil and construction, the design specialities reinforced concrete base slabs and pipelines. The student has to master also the formation and construction methods of other engineering works as water basins, silos, bunkers, underground garages. The student gets knowledge about dynamic effects on tower-like constructions and the way of protection of the load bearing structure.

The subject is designed to develop students who are studying or will be studying in the target language at a Hungarian or foreign university. The main aim of the subject is to develop the language skills that are specific to the use of the language in the context of studies. After completing the subject, the students will be able to follow professional lectures, take notes and write summaries. They know the main strategies for reading a professional text.The students know the linguistic features of polite professional communication (e.g. correspondence with a teacher), can give feedback and suggestions in professional conversations. They can participate in discussions related to studies.Completion requirement: active participation in class (30% absence allowed) and completion of assignments and/or tests during the term.

The aim of the course is to provide insight into topics fundamentally affecting the environment, health and safety of chemical industry plants and workplaces. The graduate chemical engineer will be able to participate in basic conceptual discussions. Within the course, fundamental environmental protection, fire safety, and occupational safety topics are reviewed, followed by an examination of industrial accidents through case studies, where students gain insight into process safety and related design questions. They also receive an overview of domestic and EU regulations and their application, primarily in the field of chemical safety. As a forward-looking perspective, the course includes an introduction to the 'Safe and Sustainable by Design' concept, which is defining for the future of the chemical industry. The course is highly practical, utilizing case studies and practical tasks related to various areas, involving real-world scenarios and industrial professionals.

Basics of typical unit operations (refreshing of background knowledge, if needed by the group).
Green chemistry metrics (green chemistry, green engineering, sustainability; various numerical methods to evaluate and compare reaction routes and processes: environmental factor, environmental quotient, atom efficiency, atom selectivity, stoichiometric factor, intensity parameters, etc.). Risk vs. hazard.   
Designing technologies with lower environmental impact: inherently safer design, the integrated pollution prevention and control directive and its application. Case study: production of nitric acid.
Typical techniques for treating waste waters. Selection of suitable methods based on the contamination. Filtration, flotation, coagulation, sedimentation, extraction, distillation, adsorption, stripping, evaporation, chemical methods in treating of waste waters. Principals of wet air oxidation and supercritical water oxidation. Chemical and biological oxygen demand. 
Fundamentals of vacuum technologies in industrial separation processes: vacuum distillation/evaporation (suitable equipment), short pass distillation, molecular distillation. Effects of residence time distribution. Sublimation, lyophilization. 
Membrane processes. Classification of membrane processes based on the driving force. Balance equations, batch, semicontinuous, continuous setups. Microfiltration, ultrafiltration, nanofiltration, reverse osmosis, dialysis, electrodialysis, pervaporation, membrane distillation, liquid membranes (principles, understanding the concept of the separations).
Medium and high-pressure techniques: distillation at elevated pressures, pressure swing distillation.
Biofuels. Bioethanol, biogas, biodiesel. Raw material, chemical processing, and separation processes.
 

Understanding of the formations, possible reactions of environmental polluting materials.
The students becomes familiar with the chemistry of pollutants in the air, water and soil.
The main chemical and physico-chemical processes in the atmosphere, hydrosphere, lithosphere and biosphere will be discussed. Chemical basis and the effects of the environmentally harmful materials on the living and non-living objects will be presented as well.
The students will be able to identify contaminants resulting from technological processes. They learn about the modern technological processes reducing the harmful emissions decreasing the environmental degradation.
1. week: Introduction and detailed description of the subject's objectives, some thoughts on the causes of environmental pollution.
Development and the present composition of the atmosphere and hydrosphere. Dobson unit, formation of hydroxyl radicals.
2 week: The main groups causing pollution: airborn and waterborn pollutants
Airborn pollutants: carbon dioxide, nitrogen oxides, sulfur oxides, hydrocarbons, halogenated hydrocarbons, dioxines and photochemical oxidants, particulates.
Chemical properties and ways of formation and/or elimination of environmental polluting materials, the reaction kinetics, and control methods of these processes will be discussed in the following lectures as well.
The natural and anthropogenic sources of carbon monoxide. Formation of CO from methane and elimination from the atmosphere. Technological possibilities to reduce emission.
3. week: The origin and kinetic ofthe formation of nitrogen oxides, NOx(NO, NO2, N2O and short live forms), the photocycle ofnitrogen-dioxide, ozone formation in the lower atmosphere. The effects on plants, animals, humans and on structural materials
4. week: Sulfur oxides originated naturally and from human activities. The kinetic ofthe formation of different SOx. The chemical effects of acidic rains. The technological possibility of decreasing SO2formation.
5. weeks: hydrocarbons and photochemical oxidants. London type and photochemical smog.
Hydrocarbon decreasing technologies.
6. weeks: Formation of halohydrocarbons , Ozone –hole, , Dioxins (TEF, TEQ), Dioxin decreasising technologies.
7. weeks: Particles, aerosols, smog, fog. Chemical composition and size distribution of particles. The effects of particles on the living systems. Meterological aspects of air-pollutants.
Particle elimination technics.
8. weeks: Global warming, greenhouse effect, possible causes of periodical climate changes.
9. weeks:Future and energy , Bioenergy, biodiesel, bioethanol,
10. weeks: Waterborn pollutants: organic materials, toxic organic materials, plant nutrients, mineral oil and fractions, detergents, pesticides and toxic metals.
High oxygen demand wastewater, aerob and anaerob fermentation
11. weeks: High oxygen demand and toxic wastewater. Oil spills, environmental effects, decontamination technologies
12. weeks: Plant nutrient-containing wastewater,
13. weeks: Detergent-containing wastewaters, the properties and types of detergents, their
environmental effects.
14. weeks: Pesticides, groups of pesticides, DDT, the new, third generation pesticides
Discussion and summary. Results

The aim of the course is to acquaint students with the theoretical and practical application of environmental economics, sustainability, and the European Union and Hungarian system of environmental regulation policy.
1.
The characteristics of contemporary environmental problems /complexity and globality/, the need for their "treatment", essential techniques and methods (small-regional environmental crisis management, regional economic-ecological correlations)
2.
The specific form of movement of natural and economic systems, the open chains of the economy and the possibilities of closing them.
3.
The contemporary characteristics of the relationship between the environment and the economy, the previous global strategies and their criticism. Concept, levels, dimensions and indicators of sustainable development. Environmental economic criticism of traditional macroeconomic indicators, shortcomings of GDP-type indicators. Presentation and critical analysis of the new type of macroeconomic indicators.
4.
Possible methods of economic evaluation of the environment, methods from an environmental point of view of products-technologies-processes, life cycle from an environmental point of view of products-technologies-processes (LCA analysis). Grouping of metrics (indicators), PSR and DPSIR models.
5.
Interpretation of the concept of externalities in environmental economics, grouping of external effects. Characteristics of environmental processes (referring to infrastructure planning).
6.
The Pareto optimum, the optimal level of externalities. Environmental damage, environmental protection costs (case study).
7.
Pollution chain model (typification of damage – intervention options).
8.
The necessity of environmental regulation /internalization of externalities/ and its appearance in economic theories /Pigou tax or support, illustration of the Coase theorem, its shortcomings/. The possibility of complex technical-economic regulation of the management of externalities (industry case study).
9.
The purpose, system and most important tools of environmental regulation, with particular regard to the connections between direct, economic and management type regulation. Contemporary domestic and international - primarily European Union - practice of environmental regulation.
10.
Basic principles, characteristics, essential techniques and methods of environmental management (e.g. eco-marketing)

The aim of the course is to provide knowledge to students about the theoretical background, methods as well as Hungarian and international experiences of environmental valuation and the theoretical background, main fields and measures of environmental risk management.
1.
Evaluation and monetary valuation methods. Environmental impact assessment and its limitations. Ecological footprint calculation
2.
Advantages and areas of application of monetary valuation. WTP and WTA. Ecosystem services. Criticism of evaluation
3.
Weak and strong sustainability and environmental assessment. Ex ante and ex post evaluation. The total economic value. Why special methods are needed
4.
The social discount rate. Cost-benefit and cost-effectiveness analysis. Project evaluation.
5.
Cost-based methods 1. Cost-based methods 2. Case studies
6.
The declared preference methods 1. The travel cost method
7.
The declared preference methods 2. The hedonic price method, the hedonic wage method
8.
Cost-benefit analysis and externalities in the transport sector
9.
The revealed preference methods 1. Preparation of a questionnaire, steps of conditional evaluation
10.
Revealed preference methods 2. Case studies
11.
Relationship between environmental assessment and risk management. Concept and types of risk

The aim of the course is to introduce students to environmentally conscious and sustainable construction approaches and the related design and structural methods. Students will review the theoretical background of environmental friendly structural design, "alternative" construction techniques (adobe, earth, and straw bale construction), and the architectural applications of natural building materials. Skills developed during the course include sustainable technical solutions, life cycle design, and the coordination of its environmental, aesthetic, and technical considerations. The semester assignment involves the detailed, partial implementation plan for a small-scale, environmentally conscious methods of a residential building. The practical and theoretical elements of the course serve to develop responsible, sustainable architectural thinking.

The students are getting familiar with the pollution sources that endanger the environment, hamper engineering works and understand the mitigation methods. The subject provides in-formation on the transport mechanism of pollutants in subsurface area and the conditions that influence their dispersion. The studied topics include the legal regulation of environmental geological surveys and the geological constrains of environmental impact assessment of exist-ing and planned engineering structures. By studying remediation techniques the course leads a better understanding of various methods of pollutant removal from the geological environ-ment. Special focus area is mining related pollution and site remediation. Waste disposal and pollution control also form important parts of the course. The exercise classes help students to learn environmental geological practice that helps in the sustainable operation and design of engineering structures. The course provides perspectives in environmental pollution reduction and in cost effective mitigation of polluted sites.

The aim of the course is for students participating in the mechanical engineering course to get a comprehensive picture of the most pressing current sustainability related problems and the path leading to the creation of specific technical solutions for them. By integrating the ideology and thinking of sustainable development into engineering training, those who complete the subject have a modern way of thinking, which is essential for future engineering work.
Introduction, description of requirements. Basics of environmental management, connection to mechanical engineering studies. The environmental crisis. Reasons, driving forces, trends, economic actors. The economic/environmental economics foundations of sustainability. Management of market failures - environmental policy instruments. Basics of resource management. Indicators describing development, footprint-type indicators, environmental performance evaluation. Environmental factors and effects, the basics of industrial ecology. The concept of environmental risk and eco-design. LCA. ISO 14001, EMAS. Auditing, eco-labelling and sustainable consumption. Environmental conflicts and their corporate management. Climate change and energy management. The relationship between companies and climate change. 

The aim of the course is to introduce civil engineering students to sustainable construction and operation solutions, the use of environmentally friendly materials and ways of reducing the ecoligical footprint. During the course, students will learn the application of environmental regulations and standards, as well as water, air and soil protection aspects in civil engineering practice.Special attention is given to the sustainable operation of urban management and infrastructure, with particular emphasis on energy efficiency, waste management, environmentally friendly solutions for water supply and sanitation, and the sustainability of transport systems. Students will also learn about strategies to mitigate the effects of climate change and the principles of sustainable urban development.With this knowledge, engineers will be able to make responsible decisions in the design and operation of the built environment, contributing to the creation of a sustainable built environment and liveable cities.

To present the role and history, main elements and changing set of tools as well as present practices and principles of the environmental and regional policy of the European Union.
1.
The content, basic goals, and relationship of regional policy with environmental policy and sectoral policies. The development of regional policy in individual European countries. Regions, regionalization, regionalism, regional identity.
2.
Stages and goals of European regional policy in individual countries. Grouping of countries according to the objective system of their regional policy. Grouping of countries from the point of view of regionalization.
3.
Concept and types of region. The necessity, early history and instruments of Community regional policy.
4.
The effects of the 1973 and Mediterranean enlargements. The 1988 reform of the Community regional policy, its basic principles. The NUTS system.
5.
Changes in the goal and instrument system of the cohesion policy in the 1990s.
6.
Antecedents and effects of the 2004 enlargement. Current issues and possible future development directions. Evaluation of regional policy.
7.
The fundamental elements of the approach to the examination of contemporary environmental problems: complexity and globality. Frameworks for international environmental thinking and action: cooperation within the UN. The most important stages of the cooperation were in the 1970s and 1980s.
8.
Activities of the UN World Commission on Environment and Development. The strategy of sustainable development. The UN II. World Conference on Environmental Protection. Rio documents.
9.
UN III. World Conference on Environmental Protection (2002. Johannesburg). International environmental protection cooperation in the XXI. at the beginning of the century.
10.
Chronology of the development of the European Union's environmental policy. The reactive phase of the Community environmental policy (1957-1987) - the Community I-III. Environmental Protection Action Program (1973-1986).
11.
The role of the Single European Document (1987), the proactive nature of environmental policy. ARC. Environmental Action Program (1987-1992). The EU's Fifth Environmental Action Program (1993-2000) - towards sustainability. Goals and means. Groupwork.
12.
VI. Environmental Action Program (2001-2010). The "integrative environmental protection" approach, the so-called Cardiff process.
13.
VII of the EU Environmental Protection Action Program (2013-2020). The system of environmental regulation in the EU, comparison with domestic practice.
14.
Domestic harmonization of EU environmental legislation.

The aim of the course is to shape the mindset of future chemical engineers in the field of reducing environmental impacts and the application possibilities of catalysis as a tool, from the molecular level to complex technologies.
Detailed topics of the course:
1. Fundamentals of catalysis and applied organometallic chemistry.
2. Industrial implementation of homogeneous catalytic reactions (hydrogenation, hydroformylation, oxidation, cross-linking reactions). Optimization of catalytic systems (ligand design, structure-activity relationship).
3. Theoretical fundamentals of heterogeneous catalysis (adsorption and equilibrium conditions, surface coverage) and industrial implementation. Shape-selective catalysis, heterogenization of homogeneous catalysis.
4. Possibilities and industrial implementation of auxiliary solvent-free transformations.
5. Application and selection criteria of solvents for specific operations and reactions. Application of alternative solvents (water, ionic liquids, biomass-based solvents, fluorine systems) in catalysis. Multiphase homogeneous catalysis.
6. Supercritical solvents and their industrial applications. Supercritical extraction.
7. Sources of volatile organic compound emissions and main methods of emission reduction (pharmaceutical industry, food industry, fine chemical industry).
8. Oxidative and non-oxidative techniques for reducing emissions of volatile organic compounds (a. condensation, cryogenic condensation, b. absorption, scrubbers and their simulation c. adsorption, distillation, combined operations, biofiltration, d. thermal oxidation, catalytic oxidation in gas cleaning)
9. Chiralities and production of chiral molecules. Industrial applications of biocatalysis and organocatalysis.
10. Catalytic conversion of biomass. Acid catalysis, selective hydrogenation, biomass-based platform molecules.
11. Hydrothermal conversions.
12.   Fundamentals of flow chemistry and its industrial applications.

https://transportation.bme.hu/wp-content/uploads/2024/02/Tanterv_MSC_K_angol_240201.pdf

TAD (English): https://edu.gtk.bme.hu/local/tad/tad.php?id=535 

The aim of the course is to introduce the fundamental principles of ergonomics and raise students’ awareness of the role of human factors in engineering design. Students will learn how products and the physical environment influence efficiency, safety, and well-being.

TAD (English): https://edu.gtk.bme.hu/local/tad/tad.php?id=2425 

The main goal of this course is to demonstrate the ways how the game theory and evolutionary game theory describe real-life situations affecting human behavior, economics, and biological systems. After a brief survey of the basic concept of the traditional game theory (e.g., games, strategies, Nash equilibrium, etc.) we will study evolutionary games that combine the concepts of game theory with the spirit of Darwinism. We will discuss the decomposition of games and also the potential games related to physical systems. Using simple multi-agent mathematical models we will investigate the effects supporting the maintenance of cooperative behavior in the situations of different social dilemmas (e.g., prisoner's dilemma or public goods game) when the individual interests prefer defection to cooperation. The predictions of the mathematical models will be contrasted with human and animal experiments. Finally we study systems where the evolution is controlled by the competition between different spatial strategy associations.

The goal of the subject is to present theory of Facility Management, introduction of Cost Efficiency concepts. Based on case studies and several site visits on commercial properties, list of managerial tasks will be indentified and explained as registration, maintenance, crisis management and others. The course also will cover related subjects as Workspace Planning and CAFM (Computer Aided Facility Management).

The course aims to have a look behind the scenes of the colorful and glamorous world of fashion and advertising. What we see at first glance is a huge industry where millions of professionals are pushing the maschinery to play upon our instincts. We shall study the methods, reviewing the role of public relations, sales promotion, the role of the brands, and the templates and stereotypes used in the different media. The vast amount of knowledge piled up by behavioral sciences will help us answer the question why our basic instincts to imitate can be used and abused. Why is it that we are ready to spend billions on shampoo, new clothes, junk food, gadgets ... etc. hoping to buy identity.We will also reveal that the very nature of the social animal - the group - plays an even more decisive role in our preferences and purchases – introducing a variety of approaches from the basic theories of fashion (trickle down, cascade, herd behavior) to network theories.

The aim of the course is that the student acquires the techniques used in engineering practice in connection with the engineering problem that fits into the Bachelor program / specialization training program within the framework of the thesis and acquires independent problem-solving practice. During the preparation of the thesis, the student demonstrates maturity for solving engineering tasks to a high standard by solving and documenting tasks related to various topics. During the preparation of the thesis, the student performs independent engineering work under the guidance of the supervisor of the department - sometimes his / her internal / external consultant - in an individual consultation system, which is coordinated by the supervisor.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEVGBKSD

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENBKSD

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGTBKSD 

Students will acquire knowledge related to the flow, knowledge and description of liquid / gaseous media that is important for technical application. Building on these, it introduces students to solving technical tasks related to the flow of media through laboratory and classroom exercises. Particular emphasis will be placed on measurement techniques related to flow measurement, flow processes in machines, equipment and pipelines. Students report on the acquisition of theoretical knowledge and their skills in its practical application in the mid-term practical problem-solving and applied theoretical dissertations, as well as in laboratory measurements. The course prepares students to recognize and solve flow problems in their engineering work, and enables them to take on more complex tasks based on the acquired knowledge through self-study.

Students will acquire knowledge related to the flow, knowledge and description of liquid and gaseous media that is important for technical applications. Using laboratory sessions and classroom seminars with problem-solving exercises, the course introduces students to solving engineering tasks related to the fluids engineering. Particular emphasis will be placed on knowledge of measurement techniques related to the fluid mechanics measurement, flow processes in machines, equipment, and channels/pipelines. Students gain skills in recognizing and solving frequent problems in their engineering work during the mid-semester practical problem-solving problems and applied theoretical tasks, as well as in acquiring theoretical knowledge in laboratory measurements and their practical application. Based on the acquired knowledge, they can undertake to solve more complex tasks through self-education.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATPHDKVA2-01

To familiarize students with the following topics: flow measurements. Time-averaged measurements: static, dynamic, total pressure. Pressure measurement instruments: probes, methods. Pressure gauges. Pressure-based measurement of velocity magnitude and direction. Anemometers, thermometers. Measurement of temperature. Measurement of time-varying pressures. Velocimetry-based and contraction element-based mass flow measurement; comparison. Special flow meters: ultrasonic, magneto-hydrodynamic, capacitive cross-correlation, Coriolis, vortex, rotameter, turbine, volumetric. Practical examples, illustrative presentations. Creative, interactive industrial case studies. Laboratory demonstrations. Laboratory group projects.

Form and Composition 2 is the second course in the academic unit extending over four semesters, titled
'Studio of Architectonic Thinking'. The course aims to provide students with guidance:
- from the aspect of forms: to the exploration of the interconnections between perpendicular and nonperpendicular
or curved, planar and spatial architectonic compositions based on the plane (flat or
curved surface) as fundamental structural and geometrical component, and to the creation of individual
compositions in plane and space, employing the acquired principles;
- from the aspect of composition: to grasp the possibilities, fundamental concepts and operations of
planar and spatial composition of planes;
- from the aspect of colour theory: to understand grayscale and coloured monochromaticity, the
different monochromatic colour scales of the colour plane, and the context and aesthetic content of
colours and the various colour systems;
- from a technical aspect: to the steps of preparing drawn linear, drafted as well as manual-digital hybrid
graphics, manual and digital models, collages and visualizations;
- and from the aspect of visual communication: to further potentials and techniques of raster graphics,
image manipulation, digital collage, photo montage, typography and infographics.
Projects of the semester include instructor-assisted and supervised individual and group works.

Form and Composition 4 is the fourth and summative course in the academic unit extending over four
semesters, titled 'Studio of Architectonic Thinking'. The course aims to provide students with guidance:
- from the aspect of forms: to the potential principles of architectonic shaping, form-finding and form
research based on space as fundamental structural and geometrical component in perpendicular, nonperpendicular
and curved configurations;
- from the aspect of composition: to grasp the possibilities and elementary framework of spatial
compositions; the compositional principles of the division of space and the possibilities of compositional
articulation of colour, texture, material and light – attributes most directly related to spatial forms.
- from the aspect of colour theory: to the application of colours in their most commonly used saturation,
triad and quadriad colour harmonies in graphics, the aesthetics of realistic visualization (surface textures
& factures) and its application possibilities in digital collage
- from a technical aspect: to digital or hybrid graphical techniques, and a more advanced level of
creating quality manual or digital scale models; the synthesis and independent application of the various
acquired form-creation skills and related visualization techniques.
- and from the aspect of visual communication: to an advanced use of raster graphics and realistic
visualization or (matching to scale) abstraction of the characteristics of light and materials.
Projects of the semester include instructor-assisted and supervised individual and small-group design
works.

Formal Methods
As the complexity of computer systems and the risk of their potential failures are increasing, it becomes more and more important to prove that the design and implementation of critical system components are correct (error-free). One of the typical solutions for the challenge of provably correct design is the application of formal methods: formal models provide a precise and unambiguous specification of requirements and construction of design models; formal verification allows the checking of design decisions and proof of properties; and the verified models allow automated software synthesis. The subject provides an overview of the background that is needed for the construction and analysis of the formal models of IT components and systems, including the most important modelling languages, as well as the related analytical and simulation-based verification methods. The subject demonstrates the application of formal methods in the field of requirement specification, system and software design, model based verification, and source code synthesis.
Students who successfully fulfil the requirements of the course will be able (1) to understand and apply various formal methods, (2) to construct formal models based on informal system descriptions, (3) to understand the advantages and limitations of formal verification techniques, (4) to apply tools that support the application of formal methods.
https://portal.vik.bme.hu/kepzes/targyak/VIMIMA26/en/ 

The scope of the subject is to teach the students the basics of building foundations, construction pit shoring and dewatering. The student shall be familiar with the classification and types of foundations. He/she shall be familiar with ultimate limit states and serviceability limit states associated with shallow foundations, with basic sizing methods to determine the foundation geometry, with calculation methods of stresses and settlements below foundations, with the measurements and tolerance against differential settlement of buildings, as well as with the sources of harmful settlements. Furthermore, the types, technologies and applicability limits of deep foundations, construction pit shoring and dewatering will be presented.

The building blocks of nowadays electronic devices have already reached a few tens on nanometers sizes, and further miniaturization requires the introduction of novel technologies. At such small length-scales the coherent behavior and the interaction of electrons, together with the atomic granularity of matter induce several striking phenomena, that are not observed at the macroscopic scale. The course gives an introduction to a broad set of nanoscale phenomena covering the following topics: characteristic length-scales; basic concepts of quantum transport, conductance quantization; coherent and incoherent transport, interference phenomena in nanostructures; mesoscopic phenomena in atomic and molecular nanojunctions; quantized Hall effect; noise phenomena in nanostructures; graphene nanostructures, 2D heterostructures; quantum dots.

The aim of the course is to introduce students to the gas dynamics processes occurring in high-velocity gas flow. Students will learn the classical mathematical description and calculation methods of emerging wave phenomena, boundary layers, and thermal processes associated with transonic and supersonic flow around the speed of sound. By understanding gas dynamic phenomena, students will be able to recognize how critical flow conditions affect the operation of flow systems and how their adverse effects can be avoided.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATPHDGASD-01

Subject data sheet General Chemistry Laboratory Practice Name of the subject in Hungarian: Általános kémia labor
Course ID
Assessment
Credits
BMEVESAA209
0+0+6/f
5
Further information on the subject (current semester): http://ch.bme.hu Teams page. Access code sent in email from Neptun 
Responsible person and department: Dr. Zoltán Benkő, associate professor, Department of Inorganic and Analytical Chemistry
Lecturer: Dr. Zoltán Benkő, Department of Inorganic and Analytical Chemistry
Subject is based on: General Chemistry, General Chemistry Calculations for Chemical Engineers,
Requisities: Prerequisitie:
General Chemistry, General Chemistry Calculations for Chemical Engineers, Industrial Safety
Aim of the subject: In this subject the basic chemistry procedures are practiced (e.g. distillation, recrystallization, sublimation), through these exercises the students acquire knowledge about the basic laboratory equipment as well. Simple measurements are also performed (e.g. measurements of mass and volume, measuring the melting and boiling point, density measurements methods, pH measurement). Simple preparative tasks (e.g. precipitation, dissolution of metals, producing gas in laboratory, calefaction, preparation of complexes, electrochemistry) are also completed.
Detailed program of the subject: Preparative tasks: recrystallization
distillation
sublimation
precipitation
preparation by dissolution of metals
preparation of complexes
producing gas in laboratory,
recycling of materials
Measuring tasks density measurements methods
boiling-point measurement
melting-point
making of buffer solution and pH measurement
acid-base titration
permanganometry
determination of the composition of solid mixtures
Method of education: Laboratory practice
Requirements of accomplishment of the subject: a. In the semester: complete the laboratory exercises, prepare reports on each task,
5 small written tests   
b. In the examination period: none
Additional possibilities of accomplishment:
Consultations: on demand
Course-book and literature:
Average study time needed: Preparing lab reports
5 smaller tests
Program of the subject has been developed by: Dr. Ilona Kovács, associate professor, Department of Inorganic and Analytical chemistry

The scope of the subject is to teach the students the necessary knowledges to geotechnical design, design approaches of EC7, geotechnical content of the constructions and infrastructure plans, details of soilmechanics drillings and sampling, laboratory tests and sounding procedures. Analyses of soil-liquefaction and design of soil-imrpovement. Design details of soilnailings and anchors. Design procedure of jet-groutings. Designing with observation method and details of monitoring systems.

The aim of the course is to provide students with an understanding of the process and key steps involved in a specialized engineering task within the field of geotechnics and engineering geology. Through the development of selected tasks, students will acquire in-depth professional knowledge through independent learning, and with the support of a supervisor, carry out a design or analysis project. As part of this process, they will become familiar with the procedures of engineering geological and geotechnical data collection, model development, and analytical or numerical analysis. Additional objectives of the course include preparing students for independent professional work and enhancing their transversal competencies. As a final outcome, students are required to document their work in a structured manner and present their findings in a formal presentation. The goal is for students to acquire comprehensive knowledge in geotechnics and engineering geology at a level that allows them to showcase these competencies as part of their professional portfolio.

Permutation groups, group actions.Conjugacy, normaliser, centraliser, centre, class equation, Cauchy's theorem. Automorphisms of groups, semidirect product, wreath product.Sylow's theorems. Finite p-groups. Nilpotent and solvable groups. Description of finite nilpotent groups. Transfer, existence of normal p-complement. Free groups, defining relations. Free Abelian groups.Fundamental theorem of finitely generated Abelian groups, applications. Linear groups, classical groups.Representations. Group algebra, Maschke's theorem, Schur's lemma, Wedderburn-Artin theorem.Characters, orthogonality relations, induction, Frobenius reciprocity. Clifford theory. Applications: Burnside's theorem, Frobenius kernel, character tables.
I M Isaacs, Algebra, A graduate course, Brooks/Cole, 1994
I.M. Isaacs, Character theory of finite groups, Dover, 1994

Introduction: point groups, fundamental theorems on finite groups, representations, character tables. Optical spectroscopy: selection rules, direct product representations, factor group. Electronic transitions: crystal field theory, SO(3) and SU(2) groups, correlation diagrams, crystal double groups. Symmetry of crystals: space groups, International Tables of Crystallography. Electronic states in solids: representations of space groups, compatibility rules.

https://oktatas.gpk.bme.hu/tad/tantargy/BMEGEÉENÉ01

The aim of the course is to introduce the fundamental heat transfer mechanisms as well as their quantitative description to the student. The course discusses
- steady-state and time-dependent heat conduction problems in solids,
- heat transfer phenomena in natural and forced flows without change of state, the practical determination of the convective heat transfer coefficient,
- foundations of boiling and condensation,
- heat exchangers (including sizing via logarithmic mean temperature and NTU),
- foundations of thermal radiation (Stefan-Boltzmann law, Wien's law, Planck's law, Kirchhoff law) and practical determination of radiative heat flux for various geometries,
- the methods of measuring thermophysical properties.
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENBGHK
Das Ziel der Lehrveranstaltung ist es, den Studierenden die grundlegenden Mechanismen des Wärmeübergangs sowie deren quantitative Beschreibung näherzubringen. Die Lehrveranstaltung behandelt:
- stationäre und zeitabhängige Wärmeleitungsprobleme in Festkörpern,
- Wärmeübertragungsphänomene bei natürlicher und erzwungener Strömung ohne Phasenänderung, die praktische Bestimmung des konvektiven Wärmeübergangskoeffizienten,
- Grundlagen des Siedens und der Kondensation,
- Wärmeaustauscher (einschließlich Auslegung mittels logarithmischer mittlerer Temperaturdifferenz und NTU-Methode),
- Grundlagen der Wärmestrahlung (Stefan-Boltzmann-Gesetz, Wiensches Verschiebungsgesetz, Plancksches Strahlungsgesetz, Kirchhoffsches Gesetz) und die praktische Bestimmung des Strahlungswärmestroms für verschiedene Geometrien,
- Methoden zur Messung thermophysikalischer Eigenschaften.

The objective of the course is to get acquainted with unique design principles of road pavement structures. Learning outcomes include the choice of a pavement structure type from the catalogue as well as to create pavement structure models with customised material parameters, in order to provide a better possibility for engineers to design more economical pavement structures.

The intended task of the subject is to investigate the evaluation and formation of the European architecture of the four main cultures as Mesopotamia, Egypt, Greece and Rome. Before introducing to the evaluation of architecture we are speaking the used building materials and the structures involved. The presentation of architecture follows chronological order, analysing the functional expectation of the building types used. In Mesopotamia we discuss the space demands of the sacral, the dwelling and the palace architecture. The analysis makes possible to prove the early use of space systems in architecture. The accented topic in Egypt is the evaluation of monumental architecture in stone. It is important to understand, that the later funerary buildings are not unique architectural constructions, but part of a composition. The Hellenic and the Roman civilisation is basically an urbanistic culture. That is the reason, that both cultures are discussed through their developments in settlements. The analysis of Hellenic temple construction gives opportunity to discuss the evaluation of the Greek and Roman orders.

Brunelleschi and the early renaissance architecture in Tuscany. The evolution of the renaissance palace in Florence and in the Northern regions of Italy. The architect and scholar Leon Battista Alberti. Bramante and and the influence of his circle in the first half of the 16th century. Michelangelo Buonarroti architect. Renaissance in Lombardy and Venice. Mannerist architecture. The late sixteenth century: Palladio and Vignola. Urban development and early baroque architecture in Rome under Pope Sixtus V. The architecture of Lorenzo Bernini and Francesco Borromini. Baroque in Venice and in Piemont. Architecture in France in the 16-17th centuries. Baroque in central Europe: Austria, Bohemia and Germany.

The course gives an overview of the architecture in the 20-21st centuries. The classes follow chronology with focusing on the works of some great architects: Modernism and Modern Movement. Architecture between the two world wars – De Stijl, Bauhaus, Russian Constructivism, Less is more – Architecture of Ludwig Mies van der Rohe, Toward a New Architecture – Architecture of Le Corbusier. The Nordic Classicist Tradition – Architecture of E. G. Asplund and S. Lewerentz. Alvar Aalto and the modern Finnish architecture. In the second part the course picks up some relevant architectural trends: New Empiricism, New Humanism, New Brutalism and the Team X, the way from large housing estates to architecture without architects. Unfolding post-modern architecture, participation and the Las Vegas strip, Colin Rowe’s studio, Critical Regionalism. The third part concentrates on timely problems: new materials or the multi-sensorial experience of space and surface, Rem Koolhaas’s Dirty Realism, new technology and digital perception, architecture of seduction.

The course gives an overview of the architecture in the 20-21st centuries. The classes follow chronology with focusing on the works of some great architects: Modernism and Modern Movement. Architecture between the two world wars – De Stijl, Bauhaus, Russian Constructivism, Less is more – Architecture of Ludwig Mies van der Rohe, Toward a New Architecture – Architecture of Le Corbusier. The Nordic Classicist Tradition – Architecture of E. G. Asplund and S. Lewerentz. Alvar Aalto and the modern Finnish architecture. In the second part the course picks up some relevant architectural trends: New Empiricism, New Humanism, New Brutalism and the Team X, the way from large housing estates to architecture without architects. Unfolding post-modern architecture, participation and the Las Vegas strip, Colin Rowe’s studio, Critical Regionalism. The third part concentrates on timely problems: new materials or the multi-sensorial experience of space and surface, Rem Koolhaas’s Dirty Realism, new technology and digital perception, architecture of seduction.

TAD (English): https://edu.gtk.bme.hu/local/tad/tad.php?id=1413 

HISTORY OF THEORY OF ARCHITECTURE 2.
BMEEPET0408
The course presents, exposes and explains the most important constituent facts, selected from the innumerable different intellectual reflections of the twentieth century and the second millennium, as a rich and simultaneous interplay of parallel stories, either promoting, or opposing each other. It doesn’t interpret history as a homogeneously evolving story, emerging from the past, but at the same time, it doesn’t deny the importance and operative function of creating histories. Instead of a simple, successive presentation of well-known historical facts, or a collection of fashionable notions, topics and themes, it rather concentrates on exploring their synchronic functional relationships and finding creative and relevant conclusions.
1. Introduction, theory and history in the 20th century.
2. Dominant modern reflections: Riegl, Loos Corbusier
3. Science, technology, art, future, constituent parts of the modern identity
Submission and discussion of first paper.
4. Great histories of modern architecture. History, or theory?
5. The destructions of modern technologies. Totalitarian regimes, and the war. Post war time, neo-technicism and total utopias of the sixties, Banham, Archigram.
6. Rediscovery of the operative function of history. Kahn, Venturi. Vulgar modernism and vulgar historicism.
Submission and discussion of second paper.
7. The global, the regional, the rural, the archaic. Structuralism, accidentism.
8. Positive and negative side of modern urbanism.
9. Beyond modern histories. Critical theories anthologies. Presence and representation. Deconstruction, phenomenology, hermeneutics.
Submission and discussion of third paper.

Recommended entrance level:: B2
- The series of lectures is designed to engage students in learning about Hungarian people, the land, history, cultural traditions and geography. The lecture focuses on Hungary’s history and culture in considerable depth from the arrival of the Magyars to the Carpathian basin in 896 to the present day, which creates a better understanding of today's Hungarian conditions.
- After completing the course, participants will be able to identify important historic events and their impact on today’s social, political and economic situation. Also, students will become familiar with the main geographical areas and their architectural heritage from Roman ruins and medieval townhouses to Baroque churches, Neoclassical public buildings and Art Nouveau bathhouses and schools. Getting acquainted with Hungary’s rich folk traditions, such as the wonderful embroidery, porcelain, wooden artefacts and music, students will have a better understanding of the Hungarian soul and symbols.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

Hungarian Historic Buildings in Context is an elective subject for architecture students learning in the English language. Its objective is twofold: on the one hand, the comprehensive exploration and study of the historically significant buildings featured in the lectures offers students who are already somewhat familiar with the history of architecture in Hungary further in-depth analysis. On the other hand, by getting to know the selected key monuments of architectural history, the guest students who choose the subject can gain a comprehensive insight into Hungarian architectural culture. The thematic outline of the lectures serves as an architectural historical framework in which we study the topic"s most important domestic key monuments, emphasized in the context of European architectural relations and placed in the historical, social and cultural context of domestic architecture.
Students - mainly those participating in training courses in English and the Erasmus exchange program - can get to know the building(s) through a historical typological analysis presentation and possibly a building visit, sometimes with the participation of an invited building researcher who is in-depth on a narrower topic. By completing the subject, the international student can adapt our architectural culture to the previously acquired knowledge of universal architectural history through the key concepts of Hungarian architectural history.

The main aim is to introduce basic elements of water management and hydraulic engineering, the fundamentals of water management planning, the basic tasks and principles, solution possibilities, structures and other constructions of the regulation of creeks, rivers and lakes, the basic elements of flood protection, river utilisation (hydroelectric power, inland navigation, water storage), the water management problems of flat and hilly regions, including dewatering, irrigation and fisheries, the main items of water demand and resources in Hungary

To introduce you to hydraulic structures, water motion, transport processes and their methods of analysis.

The course provides specialised knowledge about the crude oil processing. Focuses on the main catalytic processes. During the semester there is a site visit in the refinery.

The aim of the course is to introduce students to the fundamentals of systems theory, linear algebra, and linear systems relevant to solving basic hydrological problems. Students will learn to apply the MATLAB programming language for solving hydrological tasks, and to build models with the most commonly applied tools. Another objective is to familiarize students with the theoretical background and practical application of several forecasting methods used in Hungary. The course will also expand their knowledge of time series models and enable them to solve practical problems. Additionally, students will gain insight into water management information systems, and forecasting methods in water management.

The objective of the course is to give an introduction to hydrology within civil engineering, to its sub-disciplines and related fields. The student will learn about the global hydrological cycle, its elements and the estimation of the related fluxes; will master basic concepts in hydrometeorology, such as precipitation, evaporation, infiltration and runoff. He/she will be acquainted with the physical properties of streamflow and descriptors of lakes and groundwater. Will learn about the basic concepts of hydrometry and hydrography and eventually will be able to complete hydrological calculations related to civil engineering design.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATBSKAROF-01

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Objectives
The main objective of the course is to get students acquainted with the basic theories of different market structures and their potential
applications to practical problems related to efficiency, welfare, market strategy and regulation. Both the course material and the
recommended textbook are accessible to students without a profound maths background (we use simple algebraic models or basic game
theory), but we assume that the students are already familiar with the basic concepts and tools of microeconomics.

Basic goal of the „Infocommunication” subject is to present specific terms, procedures, problems and solutions used in telecommunications. The subject strives to give solid basis of the most important terms and procedures to support further studies of related orientations.
For all future electroengineers the subject provides basic knowledge for the forthcoming studies, whatever specialization is chosen by the student.
Both the lectures and the seminars aim to teach the students so that they not only understand but are able to apply the known methods, procedures, e.t.c., on their own. On the other hand, it is also important to point out the trends and innovations of the infocommunication technologies so that the students could be able understand them with a little individual effort.
Stochastic processes. Parameters, classification, operations on processes. 
1) Stochastic processes. Parameters, classification, operations on processes.
2) Sampling. Spectrum of a Sampled Signal. Narrow Band Signal Sampling.
3) Signal Reconstruction from Samples. Shanon Theorem.
4) Linear and Nonlinear Quantization. Quantization Error and Noise. PCM signal.
5) Physical Properties of Sound. Physiological Properties of Hearing.
6) Physical properties of Light. Physiological Properties of Vision.
7) Information contents of still and moving images.
8) Construction of metal cables (aerial cable, flat cable, UTP, coaxial cable) and their parameters (specific attenuation and phase, propagation delay and velocity.
9) Construction of optical fiber cable types (SI, GI, SM) and their parameters (NA, modal dispersion, chromatic dispersion.
10) Hybrid, two and four-wire repeater. The loop stability issue. Near and far end crosstalk.
11) Wave Propagation Modes I. Line-of-sight, multipath, and surface wave propagation.
12) Wave Propagation Modes II. Refraction, diffraction, tropospherical scatter, ionospherical propagation.
13) AMDSB, AMDSB/SC, AMSSB. Spectrum, representations, demodulation.
14) Analog Phase and Frequency Modulation. Bandwidth, demodulation.
15) Baseband Digital Modulation. PAM. Probability of Error.
16) Matched Filters. Inter-symbol Interference. Nyquist criterium
17) Digital Carrieer Modulations. ASK, PSK, FSK. Time domain repr., spectrum.
18) M-ary PSK. Constellation diagram. Bandwidth and power comparison to BPSK.
19) QAM, a and q components. QAM modulator and demodulator. Carrier recovery.
20) Channel Allocation Methods (FDM, TDM). Voice channel multiplexing.
21) Random TDMA procedures: Roll-call polling, Hub poling, token ring.
22) Random TDMA procedures: pure and slotted Aloha, carrier sensing multiple access.
23) Spread Spectrum Multiple Access: CDMA, FHMA, slow and fast freq. hopping
24) Terrestrial and Satellite P-Point Communication. Transmitter, transponder, receiver.
25) Mobile Operational Modes: Simplex, Half Duplex, Mobile Relay, Full Duplex.
26) Mobile Propagation Features: Multipath propagation, Rayleigh fading, Doppler effect.
27) GSM Channel allocation: uplink, downlink, FDMA/TDMA
28) GSM Network Structure. BSS, BSC, MSC, HLR, VLR, EIR, OMC.
29) GSM area coverage, clusters, S/I ratio

The course aims to learn the programming through understanding the Python language. Introduction to programming and Python language, data types, expressions, input, output. Control structures: if, while. Flowchart, structogram, Jackson figures. Complex control structures. Fundamental algorithms (sum, selection, search extrema, decision..., many practical examples). Lists. For cycle. Newer algorithms (sorting, splitting into two lists...). Exception handling. Abstraction of a part of the program, name it, using as a building block = function. Function call process, parameters, local variables, passing by value. Abstraction: complex data types from simple ones, for example fraction (numerator + denominator), complex numbers (real & imaginary part). OOP concepts: object, method. File management. Command-line arguments. Recursion (painting of an area, building a labyrinth). Algorithms efficiency, quick sorting, binary search versus linear search, O(n). Data structures: binary tree (algorithms), effectiveness: search trees (Morse tree). Mathematical libraries. Modules.

The aim of the course is to understand the basic elements of C++ language fundamental in effective scientific calculations. Compiling C++ programs, programming environments for C++. Input/Output. Built-in data types: int, double, char, bool, complex. Control commands: if, switch, for, while, do. Exception handling(recall Python). Functions. Extending operators (fractions struct), references (a += b, cout << fraction, cin >> fractions). Object-oriented programming in C++: object, class, encapsulation, member functions, constructors, destructors (in complex class with re + im or r + fi data members). Using arrays in C++. Pointers, relationship with arrays. File management. Basic algorithms: search, sort, etc. Command-line arguments. Dynamic memory management, new[], delete[]. Inheritance. Templates. Libraries. Header files.
– E. Scheinerman: C++ for Mathematicians. An Introduction for Students and Professionals, CRC Press

https://portal.vik.bme.hu/kepzes/targyak/VITMAD01/en/

https://transportation.bme.hu/

Definition of the subject of inorganic chemistry. General discussion of the properties of the elements, and their reactivity with air, water, acids and bases. Thermodynamic and kinetic considerations. Thermodynamical and kinetical control of the  reactions.  Reactivity of the elements with water, bases and acids. Generalizable guidelines for the synthesis of the elements. Trends in the periodic system. (4 hours)
Main group elements and their compounds Hydrogen, and hydrides. Physical and chemical properties of hydrogen. Industrial synthesis. The quest of the hydrogen economy. Classification, reactivity and use of  hydrides. (2 hours)
Noble gases, Physical properties, production, usage.  Noble gas compounds. Halogenes. Physical and chemical properties. Industrial synthesis of fluorine and chlorine. Brine electrolytic procedures and their comparison. (2 hours)
Chlorides and their classification. Chalcogens. Physical and chemical properties of oxygen, ozone and sulfur, selenium and tellurium. Sulfuric acid production.  Oxides and sulphiodes and their classification.  (2 hours)
Physical and chemical properties of nitrogen. The chemistry of the industrial synthesis of ammonia. Nitric acid. The allotropes of phosphorus. Phosphorus oxides and halides and sulphides, phosphoric acid, phosphinic acid. (3 hours)
The allotropic modifications of carbon, diamond, graphite, graphene, nanotubes, fullerenes. The chemistry of carbon, carbides. The physical and chemical properties of silicon and germanium. Differences from carbon. Silicates, organosilicon compounds. Tin and lead. Chemistry, physical properties, synthesis. (3 hours)
Boron and boron compounds. Specific bonding in boron compounds. The physical properties and application of alumínium. The chemistry of aluminum. The chemistry of the production of aluminum. Aluminum oxides. Alkaline earth metalls, Alkaline metalls.(2 hours)
Transition metals and their general properties: magnetic properties, spectra, complexing ability. The early transition metals (scandium group, titanium group, vanadium group. (2 hours)
Chromium group. Physical properties of the elements and their use. The chemistry of the +3 and +6 oxidation states. Complexing properties in the +3 and zero oxidation states. The eighteen electron rule. Manganese and its oxidation states. (2 hours)
Iron, cobalt and nickel. Magnetic properties. Iron containing complexes. Stability. The +2 and +3 oxidation states of iron. Complexes, and complex stabilities with different ligands. The chemistry of steel production. Carbonyl complexes of Fe, Co and Ni, and their use. Lighter and heavier elements of the platinum group. Square quadratic complexes. Interstitial hydrides and catalytic hydrogen activation. (2 hours)
Copper group. Physical and redox properties. Gold. Complex formation. Oxidation states. Production and use  of the elements. The zinc group. Physical properties.  Organic compounds and toxicity, long time effects. F-elements, Lanthanides: Lanthanide-contraction and consequences on d-element properties. (2 hours)
 

Introduce the students to the possibilities of automating small and large buildings. Within the scope of the subject, we deal in more detail with the elements of central building engineering and the possibilities of their automation, the possibilities of automating the comfort areas of the building, the operation and structure of the bus systems used to implement the various automation systems. In connection with the automation of lighting systems, we also examine the requirements of different types of light sources for automation. 

https://transportation.bme.hu/wp-content/uploads/2024/02/Tanterv_MSC_K_angol_240201.pdf 

The subject is based on the cooperation between the design and engineering Departments of the Faculty of Architecture. Throughout the semester, exchange students work in two different design studios — one on Mondays and Wednesdays, and the other on Tuesdays and Thursdays. Each studio involves two separate projects, each project is mandatory and lasts seven weeks in order to receive credits.

The mathematics of integers: divisibility, division with remainder, greatest common divisor, Euclidean algorithm, irreducible and prime numbers, the fundamental theorem of number theory. Linear Diophantine equations, modular arithmetic, complete and reduced residue systems, solving linear congruences. Fields of prime order. Irreducibility of polynomials and unique factorization. Schönemann-Eisenstein criterion. Multivariate polynomials, complete and elementary symmetric polynomials, relations between roots and coefficients.
Cayley-Hamilton theorem. Bilinear forms, symmetric and symplectic bilinear functions. Standard form, signature, principal axis theorem. Quadratic forms. Classification of local extrema, geometric applications and illustration. Unitary and normal matrices, complex spectral theorem. Polar decomposition, applications of SVD, pseudoinverse and its properties. Normal forms of matrices, existence, uniqueness and computation, generalized eigenvectors, Jordan chain and Jordan basis. Norms of real and complex vectors, matrix norms, basic properties and computation, functions of matrices (convergence only mentioned and illustrated), exponential functions of matrices. Vector spaces over arbitrary fields. Existence of basis, dimension, infinite dimensional examples (function spaces, etc.), isomorphism of vector spaces. Notion, properties, isomorphism of Euclidean space. Dual space. Applications of vector spaces over a finite field in coding theory, cryptography, combinatorics.
S Roman: Advanced Linear Algebra. Springer 2008.
R. Irving: Integers, Polynomials, and Rings - A Course in Algebra. Springer 2004.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGIBXCA

https://portal.vik.bme.hu/kepzes/targyak/VIHVAC07/en/

https://portal.vik.bme.hu/kepzes/targyak/VISZAA04/en/

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNKLC
Aim
The course aims to study the environmental impact of energy production systems. Students learn the basic concepts, standards, most commonly used types and areas of application of life cycle assessment (LCA). In their semester project assignment, students determine the environmental impact of an energy system of their choice using life cycle assessment methodology. Within the framework of their project task, they learn to use the software required for modern life cycle analysis (e.g. openLCA, GaBi, EASETECH). 
Learning outcomes Competences that can be acquired by completing the course
Knowledge
The student is aware of the principles and importance of a life cycle approach. Knows the basic concepts of life cycle assessment (LCA), the most commonly used types and standards. Has comprehensive knowledge of life cycle assessment methodology. The student is informed about the environmental quantities typical of energy production and user (production) facilities. Knows the databases, models and software that can be used during life cycle assessment. Understands the dangers of shifting impacts between different environmental impact categories. The student is aware of the basic environmental mechanisms of different environmental impact categories. Understands the application areas of life cycle assessment and the specifics of each area for LCA. The student is informed about the range, types, and availability of primary and secondary data that can be used in a life cycle assessment. Understands the process of critically reviewing the results of life cycle assessment and the methods of assessing data quality.
Ability
Describes real technology systems with life cycle models. The student is able to assess environmental impacts in multiple ways. The student can identify complex environmental problems, explore, formulate and (using learned practical application) the theoretical and practical background needed to analyze them. The student solves complex, computationally intensive tasks using IT skills. The student can express his or her thoughts orally and in writing. Interprets the results of a life cycle assessment (LCA). Creates the conceptual life cycle model using the appropriate target software. Selects secondary data sources and databases for the life cycle model. Defines the life cycle boundaries of energy systems. Use the life cycle assessment results in the application areas that meet the set goals.
Attitude
The student constantly monitors his or her work, results and conclusions. The student expands his or her knowledge of energy management and sustainability through continuous learning. Open to the use of information technology tools. The student seeks to learn about and routinely use environmental tools needed to solve energy management problems. The student develops the ability to provide accurate and error-free problem solving, engineering precision and accuracy. The student applies energy efficiency, sustainability and environmental awareness in solving life cycle assessment tasks. The student monitors changes in legislation. The student publishes his or her results under professional rules. The student publishes his or her opinions and views without offending others.
Independence and responsibility
Collaborates with the instructor and fellow students to expand knowledge. Accepts well-founded professional and other critical remarks. In some situations, as part of a team, the student works with his or her fellow students to solve tasks. Based on his knowledge and analysis, the student makes a responsible, well-founded decision. The student feels responsible for energy, the problems of energy management and the sustainable use of the environment, and present and future generations. The student is committed to the principles and methods of systematic thinking and problem solving.
Teaching methodology During the teaching of the subject, the lecture and the laboratory practice are separated in terms of content and methodology. The lectures basically introduce students to the information defined by the knowledge competence elements using the technique of frontal education. Lectures include pre-published slide shows so students can add their own notes to the lecture. The lectures and the main (online) available written study materials complement each other and are insufficient to achieve adequate preparation. Independent laboratory practical sessions with a different theme from the lectures and the method of the mirrored classroom promote the application and skill-level acquisition of knowledge. During the laboratory internships, the knowledge previously acquired at home, independently, is solved partly jointly and partly individually with the help of the laboratory internship supervisor. The project task to be prepared in groups of 2-3 people also includes a presentation (life cycle model).

The aim of the course is to provide students with the basic legal knowledge necessary and essential for civil engineering activities. After a brief historical overview, it presents the current domestic legal regulations concerning environmental protection, water, and water facilities, as well as the relevant European Union directives, primarily the Water Framework Directive. It then describes lower-level domestic legislation: government decisions and regulations, with particular regard to water quality regulation and water utility services (drinking water supply, sewage and rainwater drainage, disposal, and treatment). It discusses ownership issues related to water and water utilities, water resource management, the official powers available to water authorities, the legal tools for control and sanctioning, and the application of the law by the authorities.

The aim of the course is to introduce students into the socio-political and institutional framework and basis of local development. We will examine the economic, political-governmental and institutional and cultural factors, their effect on local decision making, relations between the various levels of territorial/regional governmental decision making as well as examine the most important policy areas in EU context. We will apply a comparative, interdisciplinary and sustainable local development approach with introducing international case studies from various regions and countries and widen the scope to interdisciplinary subjects and topic in the field of sustainable local/urban development, such as community governance, participatory decision making, social capital, socio-cultural innovation, social economy and social enterprises, urban renewal, urban green, sustainable water management and energy usage, sustainable rural communities, urban-rural coexistence and regional development etc...

TAD (English): https://edu.gtk.bme.hu/local/tad/tad.php?id=1439 

The course introduces the concept of supply chain management and its three main areas: distribution logistics, production logistics, and procurement logistics. It provides an overview of facility location and layout planning problems. As the main objective of supply chains is meeting the demand, a particular attention is paid to transport and distribution problems. Moreover, such approaches of modern production logistics are provided like JIT production and lean management.

The aim of the course is to provide a well-founded but practice-oriented knowledge about the materials, application possibilities and testing and qualification methods of mechanical and electronic applications. An important aim of the course is to acquaint students with the possibilities and methods of modeling material properties. Modern structural materials, stainless steels. High entropy alloys. Conductive properties of metallic materials, superconductors and semiconductors. Magnetic properties, soft and hard magnetic materials of mechatronics. Polarization mechanisms of insulating materials, electrically conductive properties. Modern The subject discusses the so-called. intelligent materials that can serve as actuators, as well as some sensor base materials.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGTAG92 

https://edu.gtk.bme.hu/
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: principles of management, marketing management, quality management, production and project management. For problem formulation, both the managerial interpretation and the mathematical techniques are applied.
Budapest University of Technology and Economics
Faculty of Economic and Social Sciences
Course Syllabus
and Requirements
Management and Business Economics
2.
Course code
Semester
Hours per week
(Theory/Practice)
ECTS credits
Language of Instruction
Level
(BSc/BA/MSc/MA)
BMEGT20A001
fall/spring
4/0
4
Hungarian
BSc/BA
3. Course supervisor (name, title, department):
János Kövesi, dr. Habil, Professor, Department of Management and Business Economics
4. Lecturers:
Name:
Position:
Department/Institute/availability(Room, e-mail address):
Szilvia Bíró-Szigeti, PhD
AssociateProfessor
Dept. of Management and BusinessEconomics, QB305, szigetisz@mvt.bme.hu
János Kövesi
Professor
Dept.of Management and BusinessEconomics, QA315, kovesi@mvt.bme.hu
Noémi Kalló, PhD
Associate Professor
Dept.of Management and BusinessEconomics, QA308, kallo@mvt.bme.hu
Tibor Szabó, PhD
Assistant Professor
Dept.of Management and BusinessEconomics, QA317, tiborszabo@mvt.bme.hu
5. Preliminary knowledge required:
Basic concept of companies and their operation.
6. Academic prerequisites:
-
7. Objectives and description of the course:
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: principles of management, marketing management, quality management, production and project management. For problem formulation, both the managerial interpretation and the mathematical techniques are applied.
8. Teaching methods:
Lectures.
9. Requirements and assessment:
4 midterm exams have to be taken during the semester. The grade will be determined by the sum of the midterm exams (4x25=100 %), there are no minimum requirements for the individual exams.
10. Exams, make-up duties and make-up exams:
Maximum 3 of the 4 midterm exams can be repeated or make up at the end of the semester. There are no final make-up exams in this course.
11. Office hours:
By making appointment with the lecturers.
12. Course material, compulsory and recommended readings:
Materials provided by the lecturers: www.mvt.bme.hu/segedanyagok
13. Workload and detailed class schedule:
Topics to be discussed, readings required for the class, other assignments
Week 1
Marketing management:Creating Customer Value and Engagement
Week 2
Consumer behaviour, Analyzing the Marketing Environment
Week 3
Market research, Product and brand management
Week 4
Service management, Promotion management
Week 5
Communication management, Online marketing
Week 6
Quality management: Principles of quality management, the brief history of quality management systems
Week 7
Overview of quality assurance systems based on ISO 9001:2000 Quality Management System.
Week 8
Overview of quality assurance systems based on Total Quality Management System.
Week 9
Production-economics: production systems, manufacturing models, product-process matrix.
Week 10
Inventories, inventory control systems, costs of carrying stocks
Week 11
Principles of management: Resources of a firm, firm as an organization.
Week 12
Functions of managerial processes
Week 13
Corporates strategies, Team work, communication in an organization.
Week 14
Repeat of midterms

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGTBG01 
 

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGTBSMGYAR-01

https://edu.gtk.bme.hu/
Learning outcomes: After completing the course, the students will be able to understand the role of marketing in an organization. Students will become familiar with marketing tasks, tools and strategies. Through practical work students will be able to elaborate certain marketing topics using the knowledge acquired during lectures.
Content: Introduction to marketing. Creating customer value. Analyzing the marketing environment. Company and marketing strategy. Marketing information and customer insights. Market segmentation and targeting. Positioning. Creating competitive advantage. Consumer markets and buyer behavior. Business markets and business buyer behavior. Products and services. New product development. Designing pricing strategies. Marketing channels. Integrated marketing communication.
Budapest University of Technology and Economics
Faculty of Economic and Social Sciences
Course Syllabus
and requirements
Marketing
2.
Course code
Semester
Hours per week
(Theory/Practice)
ECTS credits
Language of Instruction
Level
(BSc/BA/MSc/MA)
BMEGT20A048
fall
3/1/0
5
English
BSc/BA
3. Course supervisor (name, title, department):
Zsuzsanna Szalkai, PhD, Associate Professor, Department of Management and Business Economics
4. Lecturers:
Name:
Position:
Department/Institute/availability(Room, e-mail address):
Zsuzsanna Szalkai, PhD
Associate Professor
Department of Management and Business Economics, szakaizs@mvt.bme.hu, Room QB304
5. Preliminary knowledge required: -
6. Academic prerequisites: -
7. Objectives and description of the course:
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.
8. Teaching methods:
Lectures and seminars
9. Requirements and assessment:
Team project: 20%
Presentation: 10%
Exercises on Seminars: 10%
Team project has two parts: written report and presentation. Students will work in a maximum of 5-member group on a selected market and company.
10. Exams, make-up duties and make-up exams:
Exam: 60%
Final exam in the exam period. Exam can be repeated in the exam period.
Overall assessment:
87-100%:excellent
75-86%: good
63-74%: satisfactory
50-62%: passed
0-49%: failed
11. Office hours:
Wednesday 10.00-12.00 Bld. Q Room B 304
12. Course material, compulsory and recommended readings:
Ph. Kotler, G. Armstrong, J. (2016): Principles of Marketing. 16th Ed. Pearson
Lecture slides
Handouts
13. Workload and detailed class schedule:
Topics to be discussed, readings required for the class, other assignments
Week 1
Introduction to Marketing. Creating Customer Value
Week 2
Analyzing the Marketing Environment. Marketing strategy
Week 3
Marketing Information and Customer Insight
Week 4
Market Segmentation, Targeting and Positioning. Competitive Advantage
Week 5
Consumer Markets and Buyer Behavior
Week 6
Business Markets and Business Buyer Behavior
Week 7
Product Strategy and New Product Development
Week 8
Marketing services
Week 9
Marketing Channels: Delivering Customer Value
Week 10
Understanding and Capturing Customer Value. Pricing Strategies
Week 11
Integrated marketing communication part I: advertising, sales promotion
Week 12
Integrated marketing communication part II: PR, direct marketing and personal selling.
Week 13
Team presentations
Week 14
Team presentations

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGTNKDA 
 

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNKDA

The aim of the course is for the student to acquire the techniques used in the engineering practice related to the specialty of the Master's program / specialization within the framework of the Master thesis project, to acquire an independent problem-solving practice. During the Master thesis project, the student demonstrates maturity for solving engineering tasks to a high standard by solving and documenting tasks related to various topics. During the Master thesis project performs independent engineering work under the guidance of the supervisor or sometimes his / her internal / external consultant. Within the framework of the Master thesis project, the student completing the given master's program proves his / her suitability for independent engineering work by elaborating the topic included in the official assignment at a high level on an independent, timely basis. Completion of the "Master Thesis Project A" subject; together with the "Master Thesis Project B" task provides a suitable basis for the preparation of the MSc thesis concluding the master's degree, in which the results are summarized in the prescribed format.

The aim of the course is for the student to acquire the techniques used in the engineering practice related to the master's program / specialization within the framework of the thesis project, to acquire an independent problem-solving practice. During the thesis project task, the student demonstrates maturity for solving engineering tasks to a high standard by solving and documenting tasks related to various topics. During the thesis planning, the student performs independent engineering work under the guidance of the supervisor of the department and sometimes under an internal / external consultant. Within the framework of the thesis design, the student completing the given master's program proves his / her suitability for independent engineering work by elaborating the topic included in the official assignment at a high level on an independent, timely basis. Completion of the subject "Master Thesis Project A" together with the "Master Thesis Project B" task provides a suitable basis for the preparation of the MSc thesis project concluding the master's degree, in which the results are summarized in the prescribed format.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGTNKDB 
 

The course provides knowledge about the structure and properties of metallic materials, their changes and their interactions. They provide the basis for the knowledge required to reliably select materials for different equipment in accordance with the design and manufacturing technology. The course introduces the basic mechanical and non-destructive material testing measurements and the equipment required for them.

https://portal.vik.bme.hu/kepzes/targyak/VISZD302/en/

Differential calculus of functions of several variables: partial derivatives, differentiability, tangent plane. Derivatives of composite functions. Local and global maxima / minima. Inverse function, implicit function. Double and triple integrals. (5 weeks)
Numerical series, power series, Taylor series. (2 weeks)
Laplace and Fourier transform. (1 week)
Linear algebra. Vectors, applications in geometry. Systems oflinear equations. (3 weeks).
Differential equations (separable differential equations, first order linear differential equations, second order linear differential equations with constant coefficients). (3 weeks)

Limit, continuity, partial derivatives and differentiability of functions of multiple variables. Equation of the tangent plane. Local extrema of functions of two variables. Gradient and directional derivative. Divergence, rotation. Double and triple integrals and their applications. Polar coordinates. Substitution theorem for double integrals. Curves in the 3D space, tangent line, arc length. Line integral. 3D surfaces. Separable differential equations, first order linear differential equations. Algebraic form of complex numbers. Second order linear differential equations with constant coefficients. Taylor polynomial of exp(x), sin(x), cos(x). Eigenvalues and eigenvectors of matrices.

Algebra of vectors in plane and in space. Arithmetic of complex numbers. Infinite sequences. Limit of a function, some important limits. Continuity. Differentiation: rules, derivatives of elementary functions. Mean value theorems, l’Hospital’s rule, Taylor theorem. Curve sketching for a function, local and absolute extrema. Integration: properties of the Riemann integral, Newton-Leibniz theorem, antiderivatives, integration by parts, integration by substitution. Integration in special classes of functions. Improper integrals. Applications of the integral.

Solving systems of linear equations:elementary row operations, Gauss-Jordan- and Gaussian elimination. Homogeneous systems of linear equations. Arithmetic and rank of matrices. Determinant:geometric interpretation, expansion of determinants. Cramer's rule, interpolation, Vandermonde determinant. Linear space,subspace, generating system, basis, orthogonal and orthonormal basis. Linear maps, linear transformations and their matrices. Kernel, image, dimension theorem. Linear transformationsand systems of linear equations. Eigenvalues, eigenvectors, similarity, diagonalizability. Infinite series:convergence, divergence, absolute convergence. Sewuences and series of functions, convergence criteria, power series, Taylor series. Fourier series:axpansion, odd and even functions. Functions in several variables:continuity, differential and integral calculus, partial derivatives, Young's theorem. Local and global maxima / minima. Vector-vector functions, their derivatives, Jacobi matrix. Integrals: area and volume integrals.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEMIBSKMERT-01

The aim of the course is to provide knowledge on the planning, execution and evaluation of measurements, focusing on the measurement of quantities of particular importance to electrical engineers. The theoretical and practical content of the course emphasizes that measurement is a process of modeling signals and engineering systems, not merely determining the quantitative or qualitative value of a quantity. Students will be able to evaluate the data of any measurement procedure, to give the measurement result with the associated accuracy information (uncertainty), to be familiar with the procedures and instruments for measuring basic quantities in electrical engineering practice, and to apply signal processing tools to solve measurement problems.https://portal.vik.bme.hu/kepzes/targyak/VIMIAB02/en/ 

https://transportation.bme.hu/wp-content/uploads/2019/12/Professional-Pilot-Download-study-plan.pdf

The subject gives a breaf introduction to the medicinal chemistry and pharmacology. The fundamental pharmacological definitions and ideas as well as a historical outline of drug discovery and design are presented. Selected examples of drug action at some common target areas demonstrate the importance of the special receptor-drug interactions and the improtance of chemical modifications of the leading molecules to produce highly selective medicines. Typical examples are also discussed for drug metabolism including several organic chemicals and solvents which are important for the organic chemists.
Introduction, short hystory of medicins and drug discovery. Fundamental conceptions in medicinal chemistry. Rules of drug research and production: preclinical and clinical development, GLP, GMP, role of FDA and other offices.
Biological molecules: amino acids, peptides and proteins, carbohydrates, lipids, nucleic acids.
Routes of drug administration: methods of extravascular and intravascular administration. Methods to influence of the duration of biological effect (retardation, special methods).
The pharmacokinetic phase: role of adsorption, distribution, metabolism and elimination (ADME) properties in drug action.
Dose/biological effect relations: single oral dose, repeated oral doses. Calculation of safety parameters of drugs (ED50, LD50, TI, CSF, SSM). Selectivities of biologically active compounds, effects and side effects.
Time dependent exchange of bilogical effects of drugs: habituation, addiction, sensitivity and allergic reactions. Drug-drug interactions: synergism, antagonism.
Absorption and distribution of drugs: diffusion, carrier aided absorption, biological pump mechanisms. Determination of drug distribution.
Effects of the drugs on the human body: drugs with physical or physico-cemical effects. Type of chemical bonds between a drug and the biological target molecule: reversible and irreversible connections. Affinity and specific activity. Multipoint interactions: role of stereochemistry in drug action.
Drug metabolism: phase I metabolitic reactions (oxidation, reduction, hydrolysis, hydration) and phase II reactions (conjugations).
Drug metabolism and drug design (prodrugs, active metabolites, etc).
Elimination of drugs and metabolites. Renal elimination, role of the liver in elimination. (Enterohepatic cycle, reabsorption in kidney).
An introduction to drug discovery: solubility and drug design. Hansch parameter, electronic and steric effects. QSAR approaches, computer aided drug design, methods for preparation molecular libraries and HTS methods.
Selected examples of drug action at some common target areas:
Antibacterial and antifungal agents. Antiinflammatory agents (steroids and nonsteroid type antiinflammatory agents). Opioid type analgesics.

https://oktatas.gpk.bme.hu/tad/tantargy/BMEGEMTBVFM

More information is available on the following website by searching for the course code: https://edu.gtk.bme.hu/local/tad/view.php?lang=en

https://portal.vik.bme.hu/kepzes/targyak/VIHVMB09/en/

Topics:The course covers introductions to two disciplines: Quantum Mechanics and Solid State Physics. After the semester students should be able to understand the basic principles behind these two disciplines and solve some simple quantum mechanical and solid state physics problems. This will contribute to the understanding of the workings of modern electronics and nanotechnology. To follow the course no higher mathematics than algebra and the basics of the differential and integral calculus is required.
Detailed thematics:
Quantum Mechanics. Blackbody radiation, photoelectric effect, Compton effect, stability and line spectra of atoms, Frank-Hertz experiment, Time dependent and independent Schrödinger's equation, stationary states, wave function, "wave - particle duality", electron diffraction, two-slit experiment, uncertainty relations, electron wavefunction probability distribution in an atom, solving the Schrödinger equation, tunneling, the ammonia molecule, electron emission from metals, perturbation calculus, selection rules, operator calculus, eigenstate problems, measurement, quantum mechanics of the hydrogen atom, quantum numbers, H spectrum and selection rules, electron spin, Zeeman-effect, Stern-Gerlach experiment, spin-orbit coupling, atoms with more than one electron, the exclusion principle, indistinguishable particles, periodic table of elements, buildup of shells, Hund's rule, valence and core electrons, molecules, molecular orbitals, chemical bonding, H-H bond, H2+ molecule ion, bonding and anti-bonding states, orbital hybridisation, heteronuclear molecules, sp3 hybridization, rotation and vibration of molecules, Franck-Condon principle, Rayleigh and Raman scattering, Stokes and anti-Stokes scattering, Statistical physics. Classical and quantum statistics. Distribution functions, distinguishable and indistinguishable particles, photon gas, Einstein model, laser principle. Solid State Physics. Short and long range ordering, amorphous and crystalline solids, crystal structures, lattices (point lattice and basis), symmetries and unit cells, primitive, conventional and Wigner-Seitz cells, primitive vectors, Miller indexes, Bravais lattices, close packing structures, reciprocal lattice, k-space, X-ray diffraction, Laue formulae, classical physical models for crystals: lattice vibrations, monatomic and diatomic linear chain model, boundary conditions, form of the solution, dispersion relation, generalization for 3 dim., QM handling of lattice vibrations, phonons, momentum and energy of phonons, relative to the momentum and energy of Bloch electrons, specific heat of solids, equipartition principle and the Debye model, specific heat from electrons, conductors and insulators, band theory of solids, formation of bands, insulators, conductors, real band structures, conduction models,Drude model, collision time, mean free path, Wiedmann-Franz law, Sommerfeld model of metals, Fermi energy, electrons and holes, equivalence of electron and hole conductivity in a completely filled band, metals with hole conduction, work function, thermionic emission, contact potential, crystal potential, double layer at the surface, Bloch functions, Hartree-Fock method, dispersion relation, Brillouin zone, reduced zone picture, kinematics of electrons and holes, Bloch oscillations, effective mass, tight binding model, semiconductors, intrinsic conductivity, density of states in the conduction and valence bands, position of the Fermi level, donors and acceptors, charge carrier concentrations, extrinsic conductivity, Fermi level in doped semiconductors, p-n junction, application of p-n junctions, diode, (MOS)FET, bipolar transistors, Schottky and ohmic structures, characteristics.

The course introduces the hardware building blocks of modern information technologies from traditional semiconductor architectures to the the most up-to-date concepts, technologies and devices. Topics: History of semiconductor devices and semiconductor industry. Advanced silicon technologies from crystal growth to micromachining and nanofabrication techniques. Si devices from traditional MOS FETs to trigate transistors or CCD sensors. Memory devices (SRAM, DRAM, flash). Si solar cells. Compound semiconductors, band engineering, two dimensional electron gas systems, quantum wells, light emitting and laser diodes, high electron mobility transistors, GaN technology. Organic semiconductors: polymer solar cells, OLEDs, printed electronics. Perovskite solar cells. Sensors and actuators: MEMS, physical, chemical, biological sensors, actuators, robotic applications, biointerfaces, artificial skin and nose. Novel device platforms: spintronic devices and resistive switching memories. Novel computing architectures: brain inspired computing, in memory computing, hardware implementation of artificial neural networks.