The University of Belgrade. Faculty of Mechanical Engineering.

Mechanical Engineering

Title Master of Science (M.Sc. from the Latin Magister Scientiæ) will be stated in Diploma certificate of Master studies (ECTS 120). A Diploma Supplement will contain a list of courses the student has attended and passed exams in, as well as the name of the obligatory specialization module from a certain department he/she has taken and completed. Abbreviations: M.Sc.ME or MSc ME.

Goals

Applying the acquired knowledge and methods in order to solve the given tasks within the chosen field. The task refers to studying the problem, its structure and complexity, and coming up with adequate solutions. The student acquires knowledge on the manner, structure and form of writing a projectreport which refers to the activities undertaken within the given topic of the Final course. The student acquires the adequate level of knowledge, skills and competences referring to the problem field, implemented methods and obtained results. The student also acquires the ability to publicly present the results of independent work, organised in an appropriate form.
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Learning outcomes

Upon the successful completion of this course, students should be able to...
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Theoretical teaching

It is developed individually in accordance with the related field of the topic of the Final course.
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Practical teaching

Practical teaching contents refer to the implementation of the acquired knowledge ...
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2nd level of studies

M.Sc. (graduate) Academic Studies

Mechanical Engineering, ECTS 120

The study programme of Master (Graduate) academic studies is performed through 21 elective modules (specializations) within the same curriculum framework schematically presented below.
1st year
1st semester

2nd semester

2nd year

Legend

White boxes – obligatory courses, colored boxes – elective courses; numeric code below the course title in this table consists of three digits: the first digit is the number of the semester, the second is the position of the course, and the third one is the number of weekly hours; the duration of each course is one semester with 5 hours per week, and each equals ECTS 6 (ECTS – European Credit Transfer System).
Exceptions: Skill praxis М – 90 hours, executed through student’s independent work, equals ECTS 4; Non-compulsory course in a Foreign language for specific purposes – 30 hours, equals ECTS 2; M.Sc. thesis equals ECTS 26
For accreditation requirements: M.Sc. electiveness 35% = 7 courses (colored boxes).

Learning outcomes of the Master study programme in
Mechanical Engineering

The Faculty of Mechanical Engineering University of Belgrade (UB-FME) systematically and effectively plans, carries out, supervises, evaluates and upgrades the quality of its study programme in mechanical engineering at Master of Science (MSc) level.
The MSc (graduate) study programme in mechanical engineering lasts two years of study with 120 ECTS and fully complies with the basic tasks and objectives in mechanical engineering. Admission requirement is a BSc degree in engineering. Minimum demonstration of knowledge in applied sciences (i.e. mathematics, physics) and in basic subjects fundamental to Mechanical Engineering (i.e. mechanics, design, thermodynamics) has to be fulfilled if required by the Committee for enrollment.
Following the EUR-ACE framework standards of engineering programmes , the qualifications which students get when they complete UB-FME MSc studies are: -->
1. Advanced and in-depth knowledge and understanding

Advanced and in-depth knowledge and understanding of the scientific and mathematical principles of mechanical engineering, which supplements the knowledge acquired at the Bachelor academic studies, and provides development of critical thinking and expertise in a certain branch of mechanical engineering (study module). Masters will have the ability to demonstrate in-depth knowledge and understanding of engineering sciences, such as:

    • Advanced mathematics, ordinary differential equations, advanced numerical methods, programming, computational tools and software engineering;
    • Advanced mechanics, solid and fluid, as well as thermodynamics and heat transfer;
    • Mechatronics and automatic control engineering, electronics and measurements;
    • Advanced machine elements with design procedures of components and systems;
    • Computer aided design and manufacturing, project management;
    • Details of operation and design of (elective): Devices in biomedical engineering; Ship structures, resistance, propulsion, equipment; Aerospace machines, with deepening in aerodynamics, elasticity of structures, aircraft design, propulsion and control systems; Product aesthetics, ergo- and eco-designs, decision-making methods; Railway locomotives and cars; Welding structures, structural integrity; Biotechnical (agricultural) systems, tractors, equipment; Industrial (management) methods and organization; IT technologies with optimization techniques; Motor vehicles, gears, brakes and friction systems, equipment; Internal combustion engines, testing,  auxiliary systems and equipment; Food industry machines, condition monitoring, manipulating, packaging; Production machines and systems, manufacturing automation, quality management, intelligent systems; Process engineering machines, environment protection, chemical and biochemical reactors, air pollution control and waste treatment; Devices for automatic control, with knowledge of digital and nonlinear systems, object and process dynamics; Weapon systems, missiles, artillery; Steam and gas turbines, boilers and steam generators, thermal power plants; Material handling machines, constructions,  conveying machinery, cranes; Refrigerating, heating and air conditioning systems, heat pumps; Hydraulic machinery, pumps, fans, hydraulic turbines, hydraulic torque converters, fluid energy systems, etc;

and the ability to fulfill requirements for the professional title of Chartered Engineer (as defined by the Engineering Chamber of Serbia), as well as the ability to continue studies further, to a more advanced degree – scientific level of PhD.

2. Ability of advanced engineering analysis

Ability of advanced engineering analysis by application of their knowledge and understanding to identify, analyse, formulate and solve engineering problems using relevant analytic (mass, energy and thermodynamic balances, efficiency of systems, etc.), empirical and experimental methods.

3. Ability to carry out engineering design

Ability to carry out engineering design of machine components and full systems to meet defined and specified requirements using knowledge and understanding of design methodologies and computer-aided design tools. Masters should be able to propose, design, analyze, and build a mechanical or electromechanical device.

4. Ability to do investigations

Ability to do investigations, as to conduct searches of literature, to use on line libraries and repositories and other sources of information, to design and conduct appropriate experiments to gather data and test theories by being trained in workshop and laboratory skills, to collect and interpret the data and draw conclusions.

5. Experience in engineering practice

Experience in engineering practice, with the ability to select and use appropriate mechanical equipment, tools and methods; to combine theory and practice to solve engineering problems; to understand of applicability and limitations of certain  techniques and methods and to have awareness of the nontechnical implications of engineering practice.

6. Possession of transferable skills

Possession of transferable skills in order to function as an individual and as a member of a team, to communicate effectively with the engineering community in the same-discipline and cross-disciplinary groups with written, oral, and visual means, to have awareness of wider multidisciplinary context of engineering (responsibility, environment, health, safety, social, ethical and legal issues), to demonstrate awareness of project management and business practices, be prepared for a lifetime of continuing education.

All explanations given for B.Sc. studies also apply here. The main differences are:
Upon enrollment in Master academic studies the student is required to choose one elective module (department).
The maximum number of students for enrolling in Master academic studies is 416, and teaching is organized in groups of maximum 32 students for lectures, 16 for general exercises and 8 for laboratory work. The minimum number of students for elective module activation is 5 (at enrollment, but there is no minimum limit for semester 3), and the maximum is 32. The given numbers of students are defined by the rules of the National Accreditation.
The student is required to perform and pass the exam in “Skill praxis M” prior to registration for M. Sc. thesis.
The total average grade is determined from grades from “M.Sc. thesis” and “Skill praxis M” that are united as a single grade by pondering, according to the number of ECTS, and as such, that grade participates in the total average grade with pondering of 25 hours.

Lists of modules with obligatory courses

"M.Sc. thesis" is to be taken with supervisor from the pool of professors of either obligatory courses of the elective module or elective courses the student has passed, where the menu of such courses is defined by departments leading the module. M.Sc. thesis must contain at least two of the following fields: material on the topic studied and analyzed, self-performed numerical calculation, self-done laboratory work, and/or self-performed mechanical design. Thesis defense cannot be done unless all the exams are passed.
Enrollment procedure is regulated by the Book of Regulations on Teaching at Master studies.
Within special agreements, the study program in English may be adapted to meet the group of students’s needs and requirements, where some obligatory courses in the modules may be also elective.
3 OECD (2011), “A Tuning-AHELO Conceptual Framework of Expected Desired/Learning Outcomes in Engineering”, OECD Education Working Papers, No. 60, OECD Publishing. http://dx.doi.org/10.1787/5kghtchn8mbn-en, pp.35 and 48-54.
1. 2. 3. 4.
1.1.5 2.1.5 3.1.5 4.1
1.2.5 2.2.5 3.2.5 4.3
1.3.5 2.3.5 3.3.5
1.4.5 2.4.5 3.4.5
1.5.5 2.5.5 3.5.5

2nd level of studies

Master Academic Studies​ programmes (120 ECTS​)

Aerospace Engineering

Biomedical Engineering

Control Engineering

Design in Mechanical Engineering

Engineering of Biotechnical Systems

Food Industry Engineering

Hydropower Engineering

Industrial
Engineering

Internal Combustion Engines

Material Handling, Constructions And Logistics

Mechanical Engineering & Information Technology

Mechanics

Motor Vehicles

Process Engineering And Environment Protection

Production Engineering

Railway Mechanical Engineering

Thermal Power Engineering

Thermal Science Engineering

Weapon Systems

Welding and welded structured

Lists of elective courses

At the beginning of a school year, a student has to choose elective courses (subjects) that he/she wants to attend and pass exams in. For each semester, as well as for each position of a course in a certain semester, a separate list (menu) of courses exists. However, the following conditions must be borne in mind:
1. 2. 3. 4.
       
       
1.3.5    
1.4.5 2.4.5 3.4.5
1.5.5 2.5.5 3.5.5
List of elective courses at the position 1.3 – 2 courses, 5 teaching hours per week each (6 ECTS)

Mechanics M; Fluid mechanics M.

List of elective courses at the position 1.4 – 2 courses, 5 teaching hours per week each (6 ECTS)

Thermodynamics М; Mechatronics.

List of elective courses at the position 1.5 – 16 courses, 5 teaching hours per week each (6 ECTS)

Nuclear reactors; Central heating systems; Pipeline fluid flow; Management information systems; Sheet-metal processing tools; Coordinate measuring machines; Internal combustion engines – M; Combustion for propulsion systems; Numerical simulation of IC engines processes – Basic approach; Computer networks; Buoyancy and stability of ship 1M; Ship structures 1M; Maintenance of machinery and equipment; Helicopters; Basics of the phenomenon of transmission and drying techniques; Rocket motors.

List of elective courses at the position 2.4 – 16 courses, 5 teaching hours per week each (6 ECTS)

protection in thermal power engineering; Risk management in terotechnology; Mechanical engineering measurements and sensors; Distributed systems in mechanical engineering; Combustion and sustainable development M; Sensors and computer based measurements; Ship equipment M (2 hours – 2 ECTS) + Ship systems M (3 hours – 4 ECTS); Combustion M; Mechatronics systems; Computational fluid mechanics; Additive manufacturing technologies; Conformity, compliance and product warranty.

List of elective courses at the position 2.5 – 17 courses, 5 teaching hours per week each (6 ECTS)

Gas dynamics; Two-phase flows with phase transition; New generation of machine tools and robots; Design of logistic and warehouse systems; Ship strength 2; Tribotechnique; Computer simulation in manufacturing Automation; Industrial automation; Biofuels in combustion processes ; Vehicles and environment; Basics of composite materials mechanics ; Design of construction and mining machines subsystems; Model based development of automotive software; Avionics; Aircraft performance; Fixture design; Embedded systems and IoT in mechanical engineering.

List of elective courses at the position 3.4 – 18 courses, 5 teaching hours per week each (6 ECTS)

Technical regulations and standards; Project management & air regulation; Aircraft maintenance; Ship manoeuvring (2 hours – 2 ECTS) + Software application in ship design (3 hours – 4 ECTS); Tribology; Machine tools M; Urban and special rail vehicles; Fundamentals of mining and construction machines dynamics; Ecology of combustion; Intelligent vehicle systems; Building energy certification; Renewable energy resources – small hydropower plants; Hybrid technical systems; Selected topics in IC engines 1;  Assembly systems; Techno-economic analysis and project management; Steam turbines 3; Computer graphics and virtual reality.

List of elective courses at the position 3.5 – 18 courses, 5 teaching hours per week each (6 ECTS)

Computer simulations of thermalhydraulic processes and CFD; Turbocompressors; Aircraft armement systems; Man – machine system design (3 hours – 4 ECTS) + Quality improvement in production processes – Lean six sigma (2 hours – 2 ECTS); Forensic engineering; International maritime regulations; Tribological systems;

 

Information technology projects evaluation; Micro manufacturing and characterization; Intelligent buildings; Aeroelasticity; Combustion appliаnces; Microfluidics and nanofluidics; Selected topics in IC engines 2; Intelligent control systems; Computer control and monitoring in manufacturing automation; Multiphase flow; Missile navigation, guidance and control algorithms.

List of elective courses (English only) - 56 courses, 5 teaching hours per week each (6 ECTS)

Manufacturing technologies; Numerical methods; Computer aided design; Structure analysis; Gas dynamics and CFD; Propulsion systems; Solid propellant motor design; Airframe structure analysis; Project management; Dynamics of structures; Wind tunnel testing; Quality assurance and tests; Fatigue of thin walled structures; Actuating systems; Control and testing; Discrete event simulation; Nozzle flow analysis and thrust vector control systems; Skill praxis M; Principles of warhead mechanisms; Introduction to optical system design; Aberration theory and image analysis; Digital image processing; Advanced optical system design; Applied optimization theory in optical system design; Solid – state lasers; Infrared detectors; Fiber optical data transfer; Missile system integration (SIN); Assembly automation; Production planning and control; Analytic methods for engineering design; Automatic control; Introduction to CFD; Advanced missile guidance and control; Combustion physics; Fundamentals of guided missiles navigation systems; Introduction to neural networks and fuzzy systems; Matlab and simulink for engineering applications; Numerical methods in heat and mass transfer; Seekers; Advanced interior ballistics; Maintenance management M; Production and operations management 1 – M; Design and analysis of composite structures; Numerical analysis in warhead design; Pyrotechnic security; Warhead design and terminal ballistics; Мodern quality approache; Advanced aerospace propulsion systems; Design of logistic and warehouse systems; Electric aircraft propulsion; Industrial logistic; Multidisciplinary optimization in aerospace engineering; Weapon mechanics; Advanced nuclear reactors; Infrared detectors; Nuclear power plants safety

2nd level of studies

M.Sc. (diploma, graduate) Academic Studies

Mechanical Engineering
UB FME Booklet

Click to see ub-fme-booklet.pdf

Academic Studies GUIDE B.Sc., M.Sc., Ph.D.

Click to see Guide_to_Studies.pdf

Mechanical Engineering
M.Sc. Course Catalog

Click to see msc-cc.pdf

Goals and Learning Outcomes of Master Studies

Click to see asiin_master.pdf

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General Info

Editor

Boško Rašuo 
University of Belgrade

Associate Editor

Stevanović Vladimir
University of Belgrade

Technical Editor

Sedmak Simon
University of Belgrade

Editorial Board

Click o see editorial_board.pdf

List of Reviewers

Click to see list_of_reviewers.pdf

Email

fme-transactions@mas.bg.ac.rs

On line service

http://www.mas.bg.ac.rs/transactions

Template for manuscript

Click o see template_for_manuscript.pdf

Manuscript Submission Guidelines

Click to see guide_for_the_autors.pdf
From the Editor

I’m pleased to say that the FME Transactions journal has been accepted for indexing in ESCI (Emerging Sources Citation Index).

This means that the journal will now be discoverable via the Web of Science database, alongside any other Web of Science indexed journals. From the Web of Science database, we are now able to see full citation counts, author information and other enrichment on the journal. Articles in ESCI indexed journals will be included in an author’s H-Index calculation.

Being ESCI listed is the first step to obtaining an Impact Factor. We will be able to analyse the data provided by Web of Science to give a more detailed understanding of the journal’s citation performance, and apply for an Impact Factor listing as soon as we are confident that citations are at a level high enough to be accepted by the Science Citation Index (SCI).

ESCI listing should act as a significant incentive for submitting authors, and so please share the news with your networks!

Publishing Ethics & Policy

The journal FME Transactions follows ethics norms accepted by international scientific community. It makes all efforts to prevent any infringements of the norms. This publication ethics statement, based on guidelines and standards developed by the Committee on Publication Ethics (COPE), includes respective responsibilities of authors, reviewers, and editors. The FME Transactions does not charge any manuscript processing and/or publishing fees.

Digital copies of the journal are archived in the Digital Repository of the National Library of Serbia.

The journal FME Transactions follows ethics norms accepted by international scientific community. It makes all efforts to prevent any infringements of the norms. This publication ethics statement, based on guidelines and standards developed by the Committee on Publication Ethics (COPE), includes respective responsibilities of authors, reviewers, and editors. The FME Transactions does not charge any manuscript processing and/or publishing fees.

Digital copies of the journal are archived in the Digital Repository of the National Library of Serbia.

Editorial Responsibilities

The Editor is responsible for deciding which articles submitted to the FME Transactions will be published. The Editor is guided by the policies of the journal’s Editorial Board and constrained by legal requirements in force regarding libel, copyright infringement and plagiarism.

The Editor must hold no conflict of interest with regard to the articles he considers for publication. The Editor has a responsibility to protect the anonymity of reviewers as per the highest academic standards. The Editor will evaluate manuscripts for their intellectual content free from any racial, gender, sexual, religious, ethnic, or political bias.

Unpublished materials disclosed in a submitted manuscript must not be used in an editor’s own research without the express written consent of the author.

Authors' responsibilities

Authors warrant that their manuscripts are their original work that has not been published before and is not under consideration for publication elsewhere. Authors also warrant that the manuscript is not and will not be published elsewhere (prior and after the publication in the FME Transactions) in any language without the consent of the copyright holder.

It is posible that the selected papers from conferences organized by the Faculty of Mechanical Engineering of the University of Belgrade or the scientific institutions that cooperate with it on the joint European projects (such as Tempus, Adria-Hub, Horizon 2020, etc.) can be published in the FME Transactions journal after a complete reviewing process. The name of the conference and the name of the conference organizer should be clearly indicated in the Acknowledgment of the published paper. At the same time, the conference paper should be removed from the conference site if it is exposed in its entirety.

Authors warrant that the rights of third parties will not be violated, and that the publisher will not be held legally responsible should there be any claims for compensation.

Authors are exclusively responsible for the contents of their submissions, the validity of the experimental results and must make sure that they have permission from all involved parties to make the data public. Authors wishing to include figures or text passages that have already been published elsewhere are required to obtain permission from the copyright holder(s) and to include evidence that such permission has been granted when submitting their papers. Any material received without such evidence will be assumed to originate from the authors.

Authors must make sure that only contributors who have significantly contributed to the submission are listed as authors and, conversely, that all contributors who have significantly contributed to the submission are listed as authors.

Authors should ensure that they clearly cite, reference and acknowledge all instances where they have used or been influenced by the work of others, including their own previously published articles and research material.

It is the responsibility of each author to ensure that papers submitted to the FME Transactions are written with ethical standards in mind and that they do not contain plagiarism. Authors affirm that the article contains no unfounded or unlawful statements and does not violate the rights of others.

When an author discovers a significant error or inaccuracy in his/her own published work, it is the author’s obligation to promptly notify the journal Editor or publisher and cooperate with the Editor to retract or correct the paper.

Plagiarism

Plagiarism, where someone assumes another’s ideas, words, or other creative expression as one’s own, is a clear violation of scientific ethics. Plagiarism may also involve a violation of copyright law, punishable by legal action.

  • Word for word, or almost word for word copying, or purposely paraphrasing portions of another author’s work without clearly indicating the source or marking the copied fragment (for example, using quotation marks);
  • Copying equations, figures or tables from someone else’s paper without properly citing the source and/or without permission from the original author or the copyright holder.

Any paper which shows obvious signs of plagiarism will be automatically rejected.

Peer review

The submitted papers are subject to a peer review process (single-blind peer review). The purpose of peer review is to assist the Editor in making editorial decisions. Through the editorial communications with the author it may also assist the author in improving the paper.

The reviewers must not have conflict of interest with respect to the research, the authors and/or the funding sources for the research. If such conflicts exist, the reviewers must report them to the Editor without delay. Any selected referee who feels unqualified to review the research reported in a manuscript or knows that its prompt review will be impossible should notify the Editor without delay.

The reviews must be conducted objectively. Personal criticism of the author is inappropriate. The reviewers should express their views clearly with supporting arguments.

Any manuscripts received for review must be treated as confidential documents.

All of the reviewers of a paper remain anonymous to the authors before, during and after the evaluation process.

All of the reviewers of a paper act independently and they are not aware of each other’s identities. If the decisions of the two reviewers are not the same (accept/reject), the Editor may assign additional reviewers. The Editorial board shall ensure reasonable quality control for the reviews. With respect to reviewers whose reviews are convincingly questioned by authors, special attention will be paid to ensure that the reviews are objective and high in academic standard. When there is any doubt with regard to the objectivity of the reviews or quality of the review, additional reviewers will be assigned.

Open Access Policy

The FME Transactions is an Open Access Journal. All articles can be downloaded free of charge and used in accordance with the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 Serbia (http://creativecommons.org/licenses/by-nc-nd/3.0/rs/)

Copyright

The journal FME Transactions allows authors to deposit Author’s Post-print (accepted version) and Publisher’s version/PDF in an institutional repository and non-commercial subject-based repositories, such as arXiv or to publish it on Author’s personal website (including social networking sites, such as ResearchGate, Academia.edu, etc.) and/or departmental website, at any time after publication. Publisher copyright and source must be acknowledged and a link must be made to the article’s DOI.

Self-archiving Policy

Once the manuscript is accepted for publication, authors shall transfer the copyright to the Publisher. If the submitted manuscript is not accepted for publication by the journal, all rights shall be retained by the Author(s).

The Authors grant to the Publisher the following rights to the manuscript, including any supplemental material, and any parts, extracts or elements there of:

  • the right to reproduce and distribute the Manuscript in printed form, including print-on-demand;
  • the right to produce prepublications, reprints, and special editions of the Manuscript;
  • the right to translate the Manuscript into other languages;
  • the right to reproduce the Manuscript using photomechanical or similar means including, but not limited to photocopy, and the right to distribute these reproductions;
  • the right to reproduce and distribute the Manuscript electronically or optically on any and all data carriers or storage media – especially in machine readable/digitalized form on data carriers such as hard drive, CD-Rom, DVD, Blu-ray Disc (BD), Mini-Disk, data tape – and the right to reproduce and distribute the Article via these data carriers;
  • the right to store the Manuscript in databases, including online databases, and the right of transmission of the Manuscript in all technical systems and modes;
  • the right to make the Manuscript available to the public or to closed user groups on individual demand, for use on monitors or other readers (including e-books), and in printable form for the user, either via the internet, other online services, or via internal or external networks.
Aims and Scope

The journal FME Transactions publishes original papers (reviewing and contributed papers, and short communications) from all fields of Mechanical Engineering, which is, as a branch of Engineering, considered in the journal in its broadest possible sense. Thus, the articles are welcome from: Applied Mechanics, Fluids Engineering, Thermodynamics, Heat and Mass Transfer, Robotics, Material Science, Tribology, Combustion, Mechanical Design and Machine Dynamics, Productional, Industrial, Agricultural, Aerospace, Processing, Railway, Biomedical and Control Engineering, Mechanization, Hydro- and Thermo-power Systems, Internal Combustion Engines and Vehicle Dynamics, Energy Resources Technology, Military Technology, Naval Architecture, and Applied and Industrial Mathematics.

Theoretical, experimental and computational analyses of various problems of Mechanical Engineering are equally welcome and acceptable for publication. In addition, there will be published book reviews, announcements of symposia, and in special issues, proceedings of selected papers from symposia organized by the Faculty of Mechanical Engineering in Belgrade.

Reviewing papers will be published by invitation only. One volume consists of four numbers.

  • Paper category: M21 15 ECTS

    Explanation: Paper published in leading international journal

  • Paper category: M22 14 ECTS

    Explanation: Paper published in distinguished international journal

  • Paper category: M23 13 ECTS

    Explanation: Paper published in international journal

  • Paper category: M24 10 ECTS

    Explanation: Paper published in international journal verified by a special decision

  • Paper category: M51 10 ECTS

    Explanation: Paper published in leading national journal

  • Paper category: M52 8 ECTS

    Explanation: Paper published in national journal

  • Paper category: M33 6 ECTS

    Explanation: Presented paper published as a whole in proceedings of an international conference

  • Paper category: M34 4 ECTS

    Explanation: Presented paper published as an extract in proceedings of an international conference

The list of international journals can be accessed by using Kobson database at this link

If the paper has more than one author, the number of credit points is divided by n-1, where n is the number of authors. The total number of credit points gained for this activity cannot exceed, in sum, 40 points in all four reports, irrespective of the number of papers. The report must contain the title of the paper with all references and the number of credit points assigned.

Hydropower Engineering
1.1.5 Theory of turbomachinery
1.2.5 Pumps
2.1.5 Hydraulic turbines
2.2.5 Machine design of pumps, fans and turbocompressors
2.3.5 Fans and turbocompressors
3.1.5 Hydropower plants and equipment
3.2.5 Hydraulic power transmitters
3.3.5 Hydropower measurements
4.1 Skill praxis M - HEN
4.3 M.Sc. thesis

Hydropower plants, machines and equipment, have various applications in many industrial areas such as: electro power industry, turbo machines production industry, hydro power plants, water supply factories, oil industry, chemical industry, turbo machines management and many others where applied fluid mechanics is important.

This points out that the necessities for hydropower engineers are evident and that is why there is a strong interest of students to study the specialization in Hydropower Engineering. In addition to the thorough learning of the matter, students acquire knowledge from other mechanical engineering disciplines, so that they can involve in other domains of mechanical engineering, if necessary.

The study specialization in hydropower engineering is the only one in the country with contemporary teaching programmes at all three levels of studies – BSc, MSc, PhD. Research potential is based on modern laboratories and equipment. Students are very actively involved in all research projects with industry, other faculties and institutes, wherefrom a significant number of results is published in literature and applied in industry.

The Department prepares students to become practicing proffessional engineers who participate fully in activities of design, operation, production, maintenance, safety, marketing, sales and administration. Particular strength of the Department includes complex and warranty measurements in pumps, compressors, fans and water turbines, as an independent national laboratory.

Obligatory courses for MSc:

Theory of turbomachinery
Pumps
Hydraulic turbines
Fans and turbo-compressors
Design computations in turbomachinery
Skill praxis M – ХЕН
MSc thesis
Hydropower plants and equipment
Hydraulic torque converters
Hydropower measurements
Thermal Science Engineering
1.1.5 Steam boilers elements and equipments
1.2.5 Refrigeration equipment
2.1.5 Steam boiler processing
2.2.5 Refrigeration systems
2.3.5 Air-conditioning fundamentals
3.1.5 Thermal power plants and heat plants
3.2.5 Heat pumps
3.3.5 Air conditioning systems
4.1 Skill praxis M - TTA
4.3 M.Sc. thesis
Material Handling, Constructions and Logistics
1.1.5 Facility layout and industrial logistics
1.2.5 Computer aided design in material handling practice
2.1.5 Structural and stress analysis
2.2.5 Transport and logistic systems design
2.3.5 Conveying and material handling machines
3.1.5 Mining and construction machines
3.2.5 Cranes design
3.3.5 Eco design
4.1 Skill praxis M - TKL
4.3 M.Sc. thesis
Thermal Power Engineering
1.1.5 Steam turbines 1
1.2.5 Power steam boiler 1
2.1.5 Steam turbines 2
2.2.5 Thermal power plants 1
2.3.5 Gas turbines
3.1.5 Energy planning
3.2.5 Themal power plants 2
3.3.5 Steam generators
4.1 Skill praxis M - TEN
4.3 M.Sc. thesis
Weapon Systems
1.1.5 Physics of explosive processes
1.2.5 Flight dynamics and aerodynamic of projectiles
2.1.3 Missile propulsion
2.1.2 Fire control systems
2.2.3 Interior ballistics
2.2.2 Automatic weapons
2.3.2 Missile guidance and control
2.3.3 Projectile design
3.1.3 Artillery weapons design
3.1.2 Launching theory
3.2.5 Missile design and launchers
3.3.3 Terminal ballistics
3.3.2 Optical devices and optoelectronics
4.1 Skill praxis M - SIN
4.3 M.Sc. thesis

Weapon Systems module provides a rich environment for Master and Doctoral studies, supported by stimulating education and research projects applied to defense technology. The Weapon Systems Department offers comprehensive education in areas of classical weapon and rocket/missile systems, as well as in relevant scientific disciplines essential for study and research in this complex multi-disciplinary field.

Good cooperation with other Departments within the Faculty of Mechanical Engineering and numerous military and civilian research and development institutions provides high quality academic foundation for education in the field of defense technologies and weapon systems.

The Weapon Systems module is the place where new technologies in the broadest sense are being studied, providing to the students multi-disciplinary knowledge in the field of weapon design, enabling choices within the variety of teaching subjects, allowing studies in smaller groups, offering good employment opportunities and other benefits.

The Department and its associates are engaged in numerous projects dealing with current issues in areas of weapons and defense equipment design. Courses / research fields:

Physics of explosive processes
Flight dynamics with aerodynamics of projectiles
Rocket propulsion
Fire control systems
Interior ballistics
Automatic weapons
Projectile design
Artillery weapon design
Missile guidance and control
Design of missiles and launchers
Terminal ballistics
Optical devices and optoelectronics, etc.
Control Engineering
1.1.5 Computer control
1.2.5 Automatic control
2.1.5 Dynamic systems modelling, identification and simulation
2.2.5 Nonlinear systems 1
2.3.5 Linear systems synthesis
3.1.5 Bioaumatics
3.2.5 Industrial process control
3.3.5 Nonlinear systems 2
4.1 Skill praxis M - SAU
4.3 M.Sc. thesis

Study module involves teaching activities focused on the development of methodologies, algorithms and software for modelling, simulation, control and automation of complex apparatus and systems, plus their applications in many diff erent areas. The theoretical and applied research carried out at the department, has a signifi cant impact on teaching process. Research is concentrated on systems for identification, prediction and control of complex systems, along with their applications in the automotive and aerospace sectors, on new technologies for multi-company logistics, on software for simulation and robot control. Within computer engineering, our research spans a wide range of areas from computer networks to computer graphics, from voice recognition systems to the architecture for arithmetic calculation, from databases to software engineering, from electronic circuit design to CAD instruments which assist in planning

Process Engineering and Environment Protection
1.1.5 Transport phenomena in process industry
1.2.5 Mechanical and hydromechanical operations and equipment
2.1.5 Heat transfer operations and equipment
2.2.5 Biotechnology
2.3.5 Chemical and biochemical operations and reactors
3.1.5 Design, construction and operation of processing systems
3.2.5 Mass transfer operations and equipment
3.3.2 Air pollution control
3.3.3 Waste and wastewater management
4.1 Skill praxis M - PTH
4.3 M.Sc. thesis
Production Engineering
1.1.5 Manufacturing automation
1.2.5 Industrial robots
2.1.5 Manufacturing systems design
2.2.5 Computer integrated manufacturing systems and technology
2.3.5 Production information systems
3.1.5 New technologies
3.2.5 Quality management
3.3.5 Intelligent manufacturing systems
4.1 Skill praxis M - PRO
4.3 M.Sc. thesis

Production Engineering Department has created a contemporary school of production engineering that consists of three study programs: BSc, MSc and PhD studies. The curriculum covers three basic areas of production engineering with scientific content in the domain of techniques, technologies and cybernetics. Production techniques relate to a wide spectrum of tool machines, robots and robotic systems, automatic assembly systems, measurement and control machines, flexible technological systems, working systems and other components and elements. Production technologies are based on a wide spectrum of different technologies, including computer technologies for process simulation and process design. Production cybernetics includes CAD, CAM, CAE systems in the engineering design area of products and production, organization, planning and numeric control.

Programs of study are well rounded and balanced units, embracing methods of study and knowledge tests, study results and student competencies. Department has at its disposal the facilities and equipment necessary for performing all forms of education at very high quality levels: Amphitheatre, Classrooms, Laboratories, Library area…

Food Industry Engineering
1.1.5 Product aestetics
1.2.5 Refrigeration in food technologies
2.1.5 Engineering condition monitoring
2.2.5 Design of mechanisms and manipulators in the food industry
2.3.5 Conveying and material handling machines
3.1.5 Packaging machines
3.2.5 Food processing machines
3.3.5 Plant and process design and energy systems
4.1 Skill praxis M - PRM
4.3 M.Sc. thesis

Study programes on Master and PhD levels are research oriented and require theses to be completed. A typical master program contains lots of course work, with the second year devoted to research and thesis, plus additional courses. The PhD program in food industry engineering sets the scientific standard. This doctoral program generally emphasizes courses for 3 semesters, after which the focus switches to a research needed for dissertation. Since food industry engineers work at the interface between food materials and engineering, they must be knowledgeable in both disciplines. This mixture of engineering and food or biology is the distinguishing feature that makes food industry engineering unique among the engineering disciplines and provides the additional dimension of an understanding of life sciences.

Internal Combustion Engines
1.1.5 Еngine working processes
1.2.5 Mixture formation and combustion in IC engines
2.1.5 IC engine design 1
2.2.5 IC engines mechatronics
2.3.5 Supercharging of IC engines
3.1.5 IC engine design 2
3.2.5 IC engine testing
3.3.2 3.3.3 Еngine design project Ecology of mobile power sources
4.1 Skill praxis M - MOT
4.3 M.Sc. thesis
Since internal combustion engines are one of the most complex and dynamic machines, studies demand multidisciplinary approach. Therefore, we at the Department of Internal Combustion Engines (ICED) dedicate ourselves to provide BSc, MSc and PhD education for the students interested to enter the field of engineering which continually grows and develops faster than ever in its 120 year long history. The study programmes at ICED rely on fundamentals in mathematics, fluid and thermal sciences, with focusing issues on combustion, heat transfer and gas fl ow. We further provide students with in-detail knowledge and advanced approach in fields of engine process, its modelling and simulation, mixture formation, turbo charging and engine mechatronics. Acting with a sense of social and ecological responsibility, we apply special attention to lectures concerning pollutant formation and control and evaluation of alternative power sources. Study of Internal Combustion Engines is hardly imaginable without extensive laboratory practice. For this reason, we at ICED, apply special attention to practical training in instrumentation and measurement techniques in general, highlighting very interesting topics in special techniques of stationary and dynamic measurements on engines. ICED, widely recognized for development of its own high-tech measuring and acquisition equipment and application of advanced high quality instrumentation, encourages students to involve in experimentation as a basic tool in engine development. World wide recognized practice to involve students to participate in research projects during their thesis work, use of large laboratory facilities, modern equipment, problem-solution oriented lectures and almost individual approach to each student, are some of the main benefits of studying at ICED.
Motor Vehicles
1.1.5 Vehicle design
1.2.5 System effectiveness
2.1.5 Vehicle propulsion and suspension systems
2.2.5 Automotive friction systems
2.3.5 Vehicle mechatronics
3.1.5 Vehicle body structure
3.2.5 Vehicle testing
3.3.5 Vehicle maintenance
4.1 Skill praxis M - MOV
4.3 M.Sc. thesis
The Motor Vehicle Department prepares students for a wide range of careers in a fast growing, rapidly changing automotive industry through BSc, MSc, and PhD educational levels. The demand for skilled, educated, and honest professionals continues to intensify as the complexity of the modern automobiles increases. Students will be provided with the tools and techniques necessary to achieve their potential. They will be shown how to produce an idea for product development or how to make decisions related to possible ways for product improvement. Students will learn to use sophisticated methods to design and develop new or improved vehicles and/or components. To achieve this, students will be encouraged to develop the skills and attitudes needed to work effectively in a multidisciplinary design team. As an automotive industry deals with the com plex products, processes and constraints, engineer’s approach to motor vehicle development cannot be based on the simple strategy of specifying “good quality” components. Designing and assembling of motor vehicles with confidence involves quantifying the function and performance of systems and subsystems. Working in the modern automotive industry cannot afford to ignore system approach in the process of vehicle and/or its components development. Accordingly, the motor vehicle courses are designed to provide students with the knowledge and skills that links the bottom level component design to the top level objectives, such as customer satisfaction and cost effectiveness.
Mechanical Engineering & Information Technology
1.1.5 С/С++
1.2.5 Object oriented paradigm
2.1.5 Algorithms and data structures
2.2.5 Programmable control systems
2.3.5 Data exquisite in mechanical engineering
3.1.5 Designing software for mechanical engineers
3.2.5 Methods of optimization
3.3.5 Numerical methods in continuum mechanics
4.1 Skill praxis M - MIT
4.3 M.Sc. thesis

Rapid dissemination of digital technologies has been accompanied by the development of high-performance intelligent machines, such as next generation mobile devices, hybryd cars and robots. These products and services are made possible by the integration of various technologies through digital technology. In response to current trends, the study module of Information Technologies (MIT) produces engineers who can utilize advanced equipment and information technology in a broad range of fields from product development to the construction of intelligent information services.

MIT produces human resources and technology that will integrate mechanical engineering, the foundation of design and manufacturing, with information engineering. This in turn is supposed to have a major impact on society. MIT off erseducational programmes to impart the basic knowledge and practical application ability in those areas of dynamics essential to equipment design, cartography and processing technology. We lecture subjects required for manufacturing products, control theory and computer control for machine and equipment control, and information-related subjects such as knowledge processing, and the Internet, all of which are es sential for the creation of viable computer models as well as the application of these technologies. In addition, students are given opportunities to conduct actual research through participation in joint projects with business enterprises in such areas as high-performance intelligent equipment, design and manufacturing technology and computer network technology.

Our students master the latest technology and research methods required for careers as researchers or engineers. The module program provides training in mechanical, digital and software technology to produce engineers with strengths in both information and mechanical engineering, and consequently, regardless of the surrounding economic conditions, graduates are sought after by businesses in a broad range of fields, including not only the manufacturing industry but also semiconductor and information system related businesses.

Mechanics
1.1.5 Analitical mechanics
1.2.5 Continuum mechanics
2.1.5 Theory of elasticity
2.2.5 Fluid mechanics 1
2.3.5 Multiphase flows M
3.1.5 Mechatronic robotics
3.2.5 Computational fluid mechanics
3.3.5 Theory of finite element method
4.1 Skill praxis M - MEH
4.3 M.Sc. thesis
Industrial Engineering
1.1.5 Operations research
1.2.5 Engineering statistics
2.1.5 Industrial logistic
2.2.5 Ergonomic designing
2.3.5 Database systems
3.1.5 Production and operations management 2
3.2.5 Organization design
3.3.5 Industrial management
4.1 Skill praxis M - IIE
4.3 M.Sc. thesis

Today, industrial engineers are employed in all types of industry to design, improve and install systems using the methods and procedures of man, machine and materials. Mostly, they are concerned with production, although the analytical fact finding approach used today is applicable to almost any business or service enterprise.

The department curriculum is programmed to provide students with the skills required by modern industrial engineers, including analysis of product design to determine the optimum manufacturing process, selection of equipment and design of layout, design and installation of systems for controlling production, inventory, quality or cost, job design and methods improvement, design of material handling systems, manpower utilization and work measurement and operations research. In addition to disciplinary content, the Department also encourages students to attain expertise in the use of modern information technologies and take part in professional and extracurricular activities. As a result, our students are able to stand out in many international contests and activities. Altogether, the goal of this department is to produce efficient industrial engineers with a high rate of technical ability, including practical as well as theoretical knowledge, in order to attain secure and responsible positions in competitive arena of industrial and service enterprise.

Engineering of Biotechnical Systems
1.1.5 Tractors and self-propelled agricultural machines
1.2.5 Refrigeration in food technologies
2.1.5 Design of agricultur machines and equipment
2.2.5 Special techniques and technology of drying process
2.3.5 Processing technology of agricultural products
3.1.5 Geoinformation and remote control of biotechnic systems
3.2.5 Managing food safety and quality
3.3.5 Design of plants and process and energy systems
4.1 Skill praxis M - IBS
4.3 M.Sc. thesis

Agricultural Engineering task is to apply technological tools to increase the agricultural production and effiency, improve product quality of the improvement. These problems will be even greater concern in the future. Courses unify the learned concepts into a practical ability to solve a broad range of engineering problems encountered in agriculture, biotehnology and food processing. The main concept of education, research and direction of this department development is precision farming which concerns modern technologies, such as computer design and construction, computer simulation, control and navigation, GPS and DGPS tehnologies, CAN bus systems, etc.

Engineering of Biotechnical Systems module educates highly qualified engineers capable of designing, constructing, researching mainteneance of agriculture machines, facilities and equipment. That is conducted throught bachelor, master and PhD studies. Diploma work refers to the actual problems of agricultural machineries, primarily projects essary for producers and users of agricultural machines and equipment. Graduates have a variety of career options, depending on their area of specialization. Employers include government agencies, civil engineering firms, food companies, machinery companies, and many other. Most of our students are offered positions immediately upon graduation.

Welding and Welded Structures
1.1.3 Engineering materials 3
1.1.2 Fuel, lubricants and industrial water 2
2.1.5 Welding metallurgy
2.2.5 Design and construction M
2.3.5 Construction optimization
3.1.5 Welding technology
3.2.5 Reliability of structures
3.3.5 Fracture mechanics and structural integrity
4.1 Skill praxis M - ZZK
4.3 M.Sc. thesis

Following the new world trends in the field of welding, necessary for fulfilling the requirements for trained specialists, starting from the academic year 2005/6, the Department for Engineering Materials and Welding, Tribology, Fuels and Combustion along with the Department for General Machine Design, and with the support from “Messer Tehnogas”, a.d. Belgrade, have jointly created the new elective module (profile) of academic studies within the master of science degree, called – Welding and Welded Structures (WWS).

The WWS module is designed to cover four major fields in the science of welding, compiled both in obligatory (compulsory) and selective courses of the M.Sc. academic studies:

  1. Welding processes and equipment, including both conventional and unconventional processes, as well as related processes.
  2. Materials and their behaviour during welding, focused on the weldability of all important structural materials.
  3. Design of welded structures, including strength and strain analysis and the structural integrity of welded joints; their reliability, remaining life assesment and quality assurance and quality control.
  4. Fabrication, application and welded joint engineering, with a special accent on non destructive testing methods and in-service behaviour. Failure analysis and repair welding procedure specifications with practical examples complete this topic dealing with the behaviour of welded joints at conditions of creep, fatigue, friction, wear, and corrosion.
Railway Mechanical Engineering
1.1.5 Rail vehicles 1
1.2.5 Theory of traction
2.1.5 Locomotive 1
2.2.5 Rail vehicles 2
2.3.5 Brakes of rail vehicles
3.1.5 Locomotive 2
3.2.5 Railway vehicles maintenance
3.3.5 Fundamentals of rail vehicle dynamics
4.1 Skill praxis M - ZEM
4.3 M.Sc. thesis

To be able to successfully work in the field of Railway Mechanical Engineering you should learn several things. First the wheels on rail movement and the guidance principles. Then we need to know different components of moving resistance. The power needed for train movement and resistance overcoming make difference in types of locomotives which are moving power transforming plants. Diesel-engine or electric power from the catenary needs to be transformed into mechanical energy. Pure mechanical gears can do this for low power locomotives only. In most other cases, electric or hydrodynamic gear is needed. But there are lot of variations and each of them needs appropriate control system. Unfortunately technical systems are not ideal, and some energy dissipation is always present. Cooling system of the locomotive has the task to bring out excessive heat generated by this cause. For the train, we need auxiliary power sources, like compressed air for the brake system and other devices. Compressor system on the locomotive should master that. And when we put the train in the movement, the dynamical forces and accelerations arise. What are the possible consequences, what are the acceptable limits, and what an engineer can do to keep all dynamical phenomena in acceptable limits, should be learned, too.

Another problem with the train in motion is how to stop the moving mass of several thousands ton? The brake system must be reliable, well coordinated within maybe hundred of vehicles in train, and safely controlled from the locomotive. We make the vehicles for people transportation and for freight traffic. They must be put in appropriate, strong enough structure. We need to learn how to design, calculate and afterwards to test the strength of structure. Something forgotten? Of course, we need to know how to maintain and repair these vehicles and… Lot of interesting things! Isn’t it?

Design in Mechanical Engineering
1.1.5 Structure modelling with calculation
1.2.5 Innovative design of technical systems
2.1.3 Ergonomic design
2.1.2 Bionics in design
2.2.5 Design and construction M
2.3.5 Decision-making methods
3.1.5 Software tools in design in mechanical engineering
3.2.5 Methods of optimization
3.3.5 Eco design
4.1 Skill praxis M - DUM
4.3 M.Sc. thesis

In this study module participation of several departments (General machine design, Production engineering, Aerospace engineering, Industrial engineering, Material handling, etc), ensures the needed multidisciplinary approach for this complex fi eld. Engineering design is combined with Industrial design, and enriched by bionics, ergonomics, aesthetics, ecology etc. Machine system, developed to provide function and user needs, is harmonized to human features, environmental and ecological needs. Machine systems are not supposed to disturb natural environment, but rather they should ennoble it.

Students have opportunity to perform numerous design activities such as Conceptual design (generate ideas – brainstorming), Embodiment design (design parameters defi nition, decision making, axiomatic and genetic methods, CAD shape modeling, FE methods application, simulations, etc). Additional activities comprise transformation of biological principals to technical systems (bionics), harmonization to human features (ergonomics) and to environment (ecology).

Aesthetic design is one of the main objectives which students can perform using CATIA software, 3D printing (rapid prototyping), etc. LECAD laboratory for Design in Mechanical Engineering is a member of International consortia for Engineering Design LECAD Group. Marija Paunov Graduate (MSc) student in Design in Mechanical Engineering Elective module, Design in Mechanical Engineering, trains mechanical engineers of general orientation with additional skills of new technical (mechanical) system development (Engineering Design); technical system harmonization with market needs (Industrial Design); harmonization with human being needs and natural environment. Mechanical engineer with listed skills has the main role in every expert team for product development in all branches of engineering.

Aerospace Engineering
1.1.5 Applied aerodynamics
1.2.5 Computational aerodynamics
2.1.5 Structural analysis
2.2.5 Flight dynamics
2.3.5 Composite structures
3.1.5 Aircraft control and systems
3.2.5 Aircraft propulsion
3.3.5 Aircraft design
4.1 Skill praxis M - VAZ
4.3 M.Sc. thesis

The mission of the Aerospace Engineering Department is to provide a quality undergraduate and graduate aerospace engineering education and to advance the engineering and science knowledge base through research. The educational programme is constantly updated to meet contemporary aerospace engineering demands and needs. The department offers coursework that fully prepares students to become members of advanced design teams prepared for the challenges of modern aerospace engineeringworldwide.

The goals of this programme

The educational objectives of the Aerospace Engineering programme are to produce graduates (after three or fi ve years of studying) whose expected accomplishments will be either successful careers in industry, private practice, government or research institutes or continuation to advanced postgraduate studies. After the faculty, the students will be skilled practitioners able to apply their knowledge and expertise when solving relevant engineering problems both in the aeronautical or related profession.

Naval Architecture
1.1.5 Ship resistance
1.2.5 Ship strength 1
2.1.5 Ship propulsion
2.2.5 Buoyancy and stability of ship 2
2.3.5 Ship structures 2
3.1.5 Ship design
3.2.5 Seakeeping
3.3.3 Marine engines
3.3.2 Industrial engineering methods and
techniques application in naval architecture
4.1 Skill praxis M - BRO
4.3 M.Sc. thesis

The main goal of study module is to provide advanced education and graduate engineers qualified to work successfully in the field related to various aspects of ships. Courses taught include ship buoyancy and stability, ship strength, ship structures, ship production, ship engines and equipment, seakeaping, maneuvering, (computer aided) ship design, but also advanced courses, for instance, ship waves, aero-hydrodynamics of sailing vessels, high speed craft, numerical methods in ship structural design, wave induced loads etc. The department graduates are engineers who are responsible for the design, construction, and/or repair of ships, boats, including: Merchant ships (oil/gas tankers, cargo ships, bulk carriers, container ships), Passenger/vehicle ferries, High speed craft, Yachts (power boats, and other recreational craft), various kinds of fl oating structures etc..

Our graduates typically work for shipyards, shipping companies, design firms and consultancies, equipment manufacturers, regulatory bodies and governments. Many of the department’s graduates now hold prominent positions in the shipbuilding industry in Serbia, Montenegro and other countries all across the globe (Canada, Australia, The Netherlands, etc.).

Biomedical Engineering
1.1.5 Spectroscopy methods and techniquess
1.2.5 Biomedical instrumentation and equipment
2.1.5 Early diagnostics
2.2.3 Biomechanics of tissue and organs
2.2.2 Introduction to nanotechnology
2.3.5 Signal processing
3.1.5 Nanotechnology
3.2.5 Clinical engineering
3.3.5 Nanomedical engineering
4.1 Skill praxis M - BMI
4.3 M.Sc. thesis

During M.Sc. mandatory and optional courses, students have opportunities to achieve knowledge in different fi elds such as tissue mechanics, signal processing, biomedical devices, nanotechnology, and get practical experience in organization and functioning of the environment in which they will apply their knowledge in the future professional career. Through combination of theoretical and practical work students learn to use and maintain modern equipment and perform applied research in biomedical engineering. There is an intensive collaboration between teaching staff of Biomedical Engineering module and medical doctors, biologists, chemists and engineers working in medical facilities and companies, that allow our students to conduct studies, improve existing and develop novel devices, materials and diagnostic methods through their Master thesis. Our approaches in biomedical engineering include invention of new methods, device improvement, equipment maintaining and applying information technologies in clinics.