Faculty of Metalurgy and Technology / / FENOMENI PRENOSA

Course:

FENOMENI PRENOSA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12231	Obavezan	1	7	3+1+1

Programs
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 4 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 9 hour(s) i 20 minuts x 16 =149 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 9 hour(s) i 20 minuts x 2 =18 hour(s) i 40 minuts Total workload for the subject: 7 x 30=210 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 42 hour(s) i 0 minuts Workload structure: 149 hour(s) i 20 minuts (cources), 18 hour(s) i 40 minuts (preparation), 42 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / POWDER PROCESSING

Course:

POWDER PROCESSING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12232	Obavezan	1	6	3+1+1

Programs
Prerequisites	No mutual dependency
Aims	The goals are oriented towards the knowledge adoption concerning the different concepts of powders production, characterization, densification as well as final compaction and characterization of compacts.
Learning outcomes	After the completion of the course student should: 1. Differentiate the techniques for powder preparation in accordance of powders properties, 2. Be capable to analyze the results of powders characterization: size, size distribution, shape, porosity, macrostructure, density, 3. Be familiar with the theoretical fundamentals of different processes like densification by shaping and compaction, 4. Based on theoretical knowledge apply the consolidation without the binder and with binder 5. Identify technological problems in production, characterization and consolidation of powders and find the solution, 6. Be familiar with the theoretical aspects of sintering, 7. Be familiar with the techniques of final procession and characterization of compacted powder..
Lecturer / Teaching assistant	Prof. dr Mira Vukčević
Methodology	Lectures, practical and theoretical exercises, colloquia

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Powder production, mechanical methods
I week exercises	Relation between the powders properties and the processing technique. Milling and mechanical alloying as the most primitive processing techniques
II week lectures	Powders production. Physico-chemical methods
II week exercises	Precipitation from the metal salt solution
III week lectures	Powder production, atomization techniques
III week exercises	The rotating electrode process, examples, visualization
IV week lectures	Characterization of powders; size, size distribution, shape, porosity
IV week exercises	Microscopy, sieving
V week lectures	Densification by shaping
V week exercises	Casting, extrusion
VI week lectures	Densification by compaction
VI week exercises	Density of the compacts as a function of applied pressure
VII week lectures	First Colloquium
VII week exercises	Practical aspect of conventional pressing, experiment, results analysis
VIII week lectures	Low- temperature and high-energy compaction
VIII week exercises	Rolling of the powders, laboratory, explosive compaction
IX week lectures	Sintering, theoretical aspects of material transport during the sintering process
IX week exercises	Densification in sintering, detection of contact forming, laboratory
X week lectures	Solidus sintering
X week exercises	Forming of the contacts and contacts growth, microscopy
XI week lectures	Liquidus sintering
XI week exercises	Development of microstructure, dissolution and rearrangement, densification
XII week lectures	Specific sintering processes with the presence of liquid phase
XII week exercises	Super-solidus sintering, transition liquid phase, microscopy
XIII week lectures	High temperature consolidation
XIII week exercises	Characteristics, deformation mechanism
XIV week lectures	Characterization of compacted materials
XIV week exercises	Characterization of surface, compressive strength, porosity
XV week lectures	2nd Colloquium
XV week exercises	Corrective 2nd colloquium

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Participation in the lectures, all the exercises, two colloquia, final written exam
Consultations	Mondays and Fridays after 12 .m
Literature	1.M.Mitkov, D.Božić, Z. Vujović, Metalurgija praha, Naučna knjiga, Beograd 1998 2. R.German, Powder Metallurgy science, 2nd edition, 2005 3. R.German, Powder Metallurgy Science,3rd edition 2008
Examination methods	participation and active presence at the lectures (0-10 poena) - I Colloquium: ( 0-20 points) - II Colloquium (0-20 points) - Final exam (o-50points)
Special remarks	-
Comment	-

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / KARAKTERIZACIJA MATERIJALA

Course:

KARAKTERIZACIJA MATERIJALA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12233	Obavezan	1	5	2+1+1

Programs
Prerequisites	No prerequisites
Aims	The course aims to introduce the students to the basic principles of material characterization and essential techniques for material characterization (physical characteristics, instrumental aspects, practical use, importance of their application and limitation of their application).
Learning outcomes	After successful completion of this course, students will be able to classify techniques for material characterization, present geometric optics and physical optics, apply optical microscopy techniques, explain electron diffraction, demonstrate knowledge of electron microscopy (SEM and TEM), apply stereological analysis; explain thermal analysis; correctly chooses the method for material characterization.
Lecturer / Teaching assistant	prof. dr Vanja Asanović
Methodology	Lectures, exercise. Homework assignments. Quizzes. Essays, consultation.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Microstructural characteristics. Light. Geometric optics. Reflection, refraction. Lenses.
I week exercises	Crystal structure.
II week lectures	Physical (wave) optics. Interference. Diffraction. Polarization.
II week exercises	Geometric optics (assignments). Homework 1: Microstructural characteristics.
III week lectures	Optical microscopy. Optical microscope. Working principle of microscope. Magnification of the microscope. Resolution. Major components of the optical system. Lens errors.
III week exercises	Physical (wave) optics (assignments). Quiz 1: Microstructural characteristics. Homework 2: Geometrical and physical (wave) optics. Submission of homework 1.
IV week lectures	Optical microscopy techniques.
IV week exercises	Sample preparation for examination using an optical microscope. Quiz 2: Geometrical and physical (wave) optics. Submission of homework 2.
V week lectures	Electron microscopy. Wave nature of electrons. Resolution. Lens errors.
V week exercises	Optical microscopy. Homework 3: Optical microscopy. Consideration of essay topics.
VI week lectures	canning electron microscopy. Scanning electron microscopy construction. Interaction of the electron beam and the sample. Image formation in a scanning electron microscope. Specimen preparation. Applications of scanning electron microscopy.
VI week exercises	Midterm exam 1. Quiz 3: Optical microscopy. Submission of homework 3.
VII week lectures	Transmission electron microscopy. Construction and working principle of a transmission electron microscope. Preparation of samples. Bright and dark field. Contrast.
VII week exercises	Electron microscopy. Homework 4: Electron microscopy.
VIII week lectures	Auger spectroscopy. X-ray photoelectron spectroscopy.
VIII week exercises	Make-up midterm exam 1. Qizz 4: Scanning electron microscopy. Submission of homework 4.
IX week lectures	Quantitative microstructure analysis.
IX week exercises	Essay submission and presentation.
X week lectures	Stereological methods.
X week exercises	Quantitative microstructure analysis. Homework 5: Quantitative microstructure analysis.
XI week lectures	Statistical analysis and types of measurement errors.
XI week exercises	Midterm exam 2. Submission of homework 5. Stereological analysis.
XII week lectures	Thermal analysis.
XII week exercises	Stereological analysis.
XIII week lectures	Thermogravimetry and derivative thermogravimetry. Differential thermal analysis and differential scanning calorimetry.
XIII week exercises	Make-up midterm exam 2. Thermal analysis.
XIV week lectures	Thermomechanical analysis, dynamic-mechanical analysis. Dilatometric analysis.
XIV week exercises	Thermal analysis. Quiz 5: Thermal analysis.
XV week lectures	Preparation for the final exam.
XV week exercises	Essay submission and presentation.

Student workload	Per week: 5 credits x 40/30 hours = 6 hours and 40 minutes. Total workload for the course: 5 x 30 = 150 hours.
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, do their homework, submit essays and take the midterm exams.
Consultations	Monday and Wednesday, 10:00 - 12:00.
Literature	V. Asanović, Materials Characterisation P. J. Goodhew, Electron Microscopy and Analysis, Taylor & Francis, London, 2001. D. Brandon, W.D. Kaplan, Microstructural Characterization of Materials, John Wiley & Sons, England, 2008. E. E. Underwood, Quantitative stereology, Addison-Wesley, Reading Publishing Company, 1970. J.C. Russ, R. T. Dehoff, Practical stereology, Plenum press, New York, 2000.
Examination methods	Homework- total 5 (1 point per homework, total 5 points); Two Essays (5 points each, total 10 points); Quizzes - total 5 (1 point per quiz, total 5 points); Two Midterm exams (15 points each, total 30 points); Final exam (50 points); Passing grade is obtained if at least 50 points are collected.
Special remarks	-
Comment	-

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / KRISTALOGRAFIJA I DIFRAKCIJA

Course:

KRISTALOGRAFIJA I DIFRAKCIJA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12234	Obavezan	1	6	3+1+1

Programs
Prerequisites	No prerequisites
Aims	This course aims to introduce students to the basics of crystallography and lattice, studying a certain number of typical crystal structures, implementing methods of determining the structure of crystalline materials, applying these methods in metal science to determine the structure, measurement of particle size, and determination of crystal orientation.
Learning outcomes	After successfully considering and learning the theory of X-ray diffraction, students will be introduced to the experimental methods of applying X-ray diffraction in determining the orientation of single crystal structure, the structure of polycrystalline aggregates, crystal structure, measuring lattice parameters, as well as determining residual stresses and solving many other essential case studies. Based on the presentation of computational and experimental methods of examining the structure of metal materials and their appropriate selection, as well as a comparative analysis of their applicability, they can recognize the possibility of implementing specific methods of structural analysis. Students acquired the knowledge necessary for fully defining the structure for quality control and designing materials with improved or particular properties.
Lecturer / Teaching assistant	prof. dr Nada Jauković
Methodology	Lectures, exercises, homework assignments, consultation.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to the geometry of crystals. Lattices. Crystal systems. Indices of planes and directions. Scalar product.
I week exercises	Crystallography I (examples and assignments).
II week lectures	Typical crystal structures. Solid solutions. Interstitial and substitutional solid solutions. Ordered structures. Examples of typical structures.
II week exercises	Crystallography II (examples and assignments).
III week lectures	Elements of symmetry of the crystal. Space and point groups. Relation of macroscopic and microscopic aspects of symmetry with physical and mechanical properties.
III week exercises	Density and the atomic packaging factor of a face-centred cubic lattice, primitive cubic lattice and close-packed hexagonal lattices.
IV week lectures	Reciprocal lattice. The application of vectors, vector product, triple scalar product, nomenclature, and real and reciprocal space.
IV week exercises	Crystallography III. The crystallography of slip.
V week lectures	Using a reciprocal lattice. Directions, planes, zones. Reciprocal lattices of heterophase systems. Crystallographic interdependence of heterophase structures.
V week exercises	Midterm exam 1.
VI week lectures	Diffraction methods. X-ray diffraction and electron diffraction. Application in crystallography.
VI week exercises	Make-up midterm exam 1.
VII week lectures	Ewald sphere. Determination of unknown crystal structure. Quantitative analysis of multiphase systems.
VII week exercises	Absorption of X-rays. Indexing of radiographs. Examples and assignments.
VIII week lectures	Transmission electron microscopy (TEM). Microdiffraction. Kinematic and dynamic theory of diffraction.
VIII week exercises	Qualitative and quantitative X-ray structural analysis. Examples and assignments.
IX week lectures	Spherical projection. Introduction to stereographic projection. Elements of stereographic projection.
IX week exercises	Stereographic projection I (examples and assignments).
X week lectures	Standard stereographic projections of typical crystal structures.
X week exercises	Stereographic projection II (examples and assignments).
XI week lectures	Textures. Methods of direct determination of textures. Inverse pole figures. Stereographic projection.
XI week exercises	Midterm exam 2.
XII week lectures	Defects in crystals. Comparison of defect energies in metals.
XII week exercises	Examples and assignments.
XIII week lectures	Dislocations. Point defect-dislocation interactions. Surface boundaries. Models.
XIII week exercises	Examples and assignments.
XIV week lectures	Preparation for final exam.
XIV week exercises	Make-up midterm exam 2. Submission of homework.
XV week lectures	Preparation for final exam.
XV week exercises	Solving the selected problems.

Student workload	Per week: 6 credits x 40/30 hours = 8 hours Total workload for the course: 6 x 30 = 180 hours
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, do their homework and take the midterm exams.
Consultations	Tuesday and Thursday, 10:00 - 12:00.
Literature	V.R. Radmilović, N.V. Jauković, Lectures. B.D. Callity, S. R. Stock, Elements of X-ray diffractions, Pearson, 2001. W.D. Callister, Fundamentals of materials science and engineering: An Integrated Approach, Wiley, 2018.
Examination methods	Homework- total 10 (1 point per homework, total 10 points); Two midterm exams (20 points each, total 40 points); Final exam (50 points); Passing grade is obtained if at least 50 points are collected.
Special remarks	-
Comment	-

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / TERMODINAMIKA I KINETIKA PROCESA U MATERIJALIMA

Course:

TERMODINAMIKA I KINETIKA PROCESA U MATERIJALIMA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12235	Obavezan	1	6	3+2+0

Programs
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / FIZIKA MATERIJALA

Course:

FIZIKA MATERIJALA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12236	Obavezan	2	6	3+2+0

Programs
Prerequisites	No prerequisites
Aims	The course aims to introduce the students to physical theories and their application for the study of properties and behaviour of materials, as well as understanding the structure-properties of materials relationships.
Learning outcomes	After successful completion of this course, students will be able to explain different chemical bonds; describe material properties based on chemical bonds and crystal structure; explain electrical properties, electrical resistance, present properties of conductors, insulators, semiconductors, superconductors; explain dielectric properties, ferroelectricity, piezoelectricity; explain magnetic properties; presents thermal properties, explains thermal expansion, thermal conductivity; explain the optical properties of materials.
Lecturer / Teaching assistant	prof. dr Vanja Asanović
Methodology	Lectures, exercises. Essays, consultation.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Electronic structure of atoms. Bonding in crystalline solids.
I week exercises	Crystal structure.
II week lectures	Electronic theory of metals. Electrons in metallic crystals.
II week exercises	Crystal structure.
III week lectures	Free electron theory. Electron energy bands in solids.
III week exercises	Bonding in crystalline solids.
IV week lectures	Phonons.
IV week exercises	Consideration of essay topics.
V week lectures	Fermi surface and metals.
V week exercises	Experimental methods in Fermi surface studies.
VI week lectures	Electrical properties. Electrical conductivity. Electrical resistance. Conductors. Insulators. Semiconductors.
VI week exercises	Midterm exam 1.
VII week lectures	Superconductors. Occurrence of superconductivity. The Meissner effect. Critical field. Thermodynamics of the superconducting transition. Heat capacity and energy gap. Isotope effect. Theory of superconductivity. London theory. The London equation. Coherence length. BCS theory of superconductivity. Vortex state. The Josephson effect. High-temperature superconductors.
VII week exercises	Electrical properties.
VIII week lectures	Dielectric properties. Ferroelectricity. Piezoelectricity.
VIII week exercises	Make-up Midterm exam 1.
IX week lectures	Magnetic properties. Diamagnetism. Paramagnetism.
IX week exercises	Magnetic properties.
X week lectures	Ferromagnetism. Antiferromagnetism.
X week exercises	Magnetic properties.
XI week lectures	Magnetic resonance.
XI week exercises	Midterm exam 2.
XII week lectures	Thermal properties. Heat capacity. Thermal expansion. Thermal conductivity.
XII week exercises	Essay submission and presentation.
XIII week lectures	Optical properties.
XIII week exercises	Make-up Midterm exam 2.
XIV week lectures	Plasmons. Polarons.
XIV week exercises	Case studies.
XV week lectures	Preparation for final exam.
XV week exercises	Essay submission and presentation.

Student workload	Per week: 6 credits x 40/30 hours = 8 hours Total workload for the course: 6 x 30 = 180 hours
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, submit essays and take the midterm exams.
Consultations	Monday and Wednesday, 10:00 - 12:00.
Literature	Charless Kittel, Introduction to Solid State Physics, John Wiley & Sons, Inc., 2005
Examination methods	Two essays (10 points each, total 20 points); Two Midterm exams (15 points each, total 30 points); Final exam (50 points); Passing grade is obtained if at least 50 points are collected.
Special remarks	-
Comment	-

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / DEFORMACIONO PROCESIRANJE MATERIJALA

Course:

DEFORMACIONO PROCESIRANJE MATERIJALA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12237	Obavezan	2	6	3+1+1

Programs
Prerequisites	There is no conditioning to other subjects.
Aims	Study of technologies of deformation processing of materials. Mastering the procedures for choosing materials, initial dimensions of work pieces, geometry of tools and process parameters to achieve the final shapes and properties of the product. Application of technological calculations and measuring and regulating quantities for process control. Familiarity with development and research tasks in deformation processing.
Learning outcomes	After passing this exam, the student will be able to: 1. Systematize deformation processing tasks according to materials and type of product. 2. Apply the procedure for the selection and development of technological operations in cold and hot deformation processing. 3. Describe specific procedures for materials and products of complex shape and characteristics. 4. Perform control calculations including techno-economic indicators for processes and products. 5. Identify the real achievements of existing processing technologies, research and development tasks. 6. Independently prepare an overview and description for the selected technology, including limitations and guidelines for overcoming them.
Lecturer / Teaching assistant	Asst. Dr. Nebojša Tadić
Methodology	Lectures, exercises, consultations, homework, colloquiums, final exam.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Goals, tasks and prerequisites for deformation processing. Systematization of products, processes and technological phases. Process parameters. Connection of deformation processing with procedures for obtaining final properties (introductory lectures and exercises).
I week exercises	Goals, tasks and prerequisites for deformation processing. Systematization of products, processes and technological phases. Process parameters. Connection of deformation processing with procedures for obtaining final properties (introductory lectures and exercises).
II week lectures	Analysis of the technological stages of processing: initial material and dimensions of work pieces, preparation procedures, heating regimes, deformation plan and regimes, cooling conditions, defects and their elimination.
II week exercises	Examples of selection and calculation of starting dimensions of work pieces. Examples of selection and calculation of heating conditions for deformation processing.
III week lectures	Toplo valjanje na glatkim valjcima: proizvodni program, standardne karakteristike i tehnološki parametri procesa.
III week exercises	Proračun termičkih napona. Primjer proračuna tehnoloških parametara toplog valjanja na glatkim valjcima.
IV week lectures	Hot rolling in calibers. Deformation characteristics, production program and technological stages for selected cases of rolling.
IV week exercises	Examples of calculation of rolling regime in calibers. Distribution of the first homework.
V week lectures	Cold rolling: production program, standard characteristics and technological parameters of the process.
V week exercises	Examples of calculation of the cold rolling regime.
VI week lectures	Pipe and profile rolling technology and special cold rolling procedures.
VI week exercises	Example of pipe and profile rolling calculations.
VII week lectures	First midterm exam.
VII week exercises	Control calculation of the rolling mill.
VIII week lectures	Extrusion technology: products, technological stages and types of production facilities.
VIII week exercises	Makeup first midterm exam. Example of calculation of extrusion technology.
IX week lectures	Forging technology: products, technological stages and types of production facilities.
IX week exercises	An example of calculation of the technologies of free forging and forging in molds. Distribution of the second homework.
X week lectures	Drawing technology: products, technological stages and types of production facilities.
X week exercises	Examples of drawing technology calculations.
XI week lectures	Finishing technologies - final forming operations (bending, deep drawing...).
XI week exercises	Second midterm exam. Distribution of seminar works.
XII week lectures	Makeup second midterm exam. Special forming processes: partial forming, torsional processes, explosive processes...
XII week exercises	Example of bending and deep drawing calculations.
XIII week lectures	Continuous technologies of deformation processing and achieving final properties: thermomechanical processes, advanced processes of deformation and final forming (surface layering, mechanical treatment of surfaces and superplastic processing, microforming...).
XIII week exercises	Continuous technologies of deformation processing and achieving final properties: thermomechanical processes, advanced processes of deformation and final forming (surface layering, mechanical treatment of surfaces and superplastic processing, microforming...).
XIV week lectures	Development and research tasks in the field of deformation processing: modern methods of process analysis and simulation, measuring and regulating quantities and devices for process monitoring and management. Process and plant control procedures (workloads and tool checks), plant selection and prerequisites for their operation.
XIV week exercises	Development and research tasks in the field of deformation processing: modern methods of process analysis and simulation, measuring and regulating quantities and devices for process monitoring and management. Process and plant control procedures (workloads and tool checks), plant selection and prerequisites for their operation.
XV week lectures	Presentation of seminar works.
XV week exercises	Presentation of seminar works.

Student workload	Weekly: 6 credits x 40/30 = 8 hours. Total load for the semester: 6 credits x 30 = 180 hours.
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	The student is obliged to attend lectures and exercises, do two homework assignments and one seminar work. Part of the exercises is performed on laboratory devices for deformation processing.
Consultations	Consultations are on days when there are lectures and exercises, and on other days by agreement with the students.
Literature	- Deformation processing - prepared lectures. - M. Čaušević, Metal processing by rolling - selected chapters. - A.A. Protasov, Calibration of rollers - problems with solutions. - ASM International - Fundamentals of Extrusion, 2000, selected chapters. - B. Musafia, Processing of metals by deformation, selected chapters. - K. Lange, Unformtechnik, selected chapters.
Examination methods	Two midterm exams of 15 points each, a total of 30 points; Homework and seminar work total 20 points. Final exam 50 points. A passing grade is obtained if 50 points are accumulated cumulatively. The final exam is mandatory.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / PRERADA MATERIJALA U TEČNOM STANJU

Course:

PRERADA MATERIJALA U TEČNOM STANJU/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12238	Obavezan	2	6	3+1+1

Programs
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / PROCESIRANJE MATERIJALA NA BAZI SEKUN. SIROVINA

Course:

PROCESIRANJE MATERIJALA NA BAZI SEKUN. SIROVINA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12239	Obavezan	2	6	3+1+1

Programs
Prerequisites	No prerequisites
Aims	The aim of studying is to introduce students with the types of waste, its treatment and the possibilities of its processing.
Learning outcomes	After passing the exam, the student will be able to: • Knows the possibilities of valorization of waste from the iron and steel industry (ferrous slag and electric furnace dust) for metallurgical and non-metallurgical purposes; • Interprets the possibilities of recycling copper, lead and aluminum as well as processing waste from the aluminum industry (red mud, gray and black slag) for non-metallurgical purposes. • Determines the characteristics of construction waste as well as the possibilities of recycling; • Knows the characteristics of fly ash (waste from thermal power plants) and the possibilities of its use in construction; • Knows alternative materials as a substitute for cement
Lecturer / Teaching assistant	Prof. Irena Nikolić, PhD
Methodology	Lectures, exercises (laboratory and field), consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Types of industrial waste. Waste from the metal industry. Disposal of metallurgical waste whose recycling is not justified. The role of recycling in environmental protection and justification of metal waste recycling..
I week exercises	Laboratory: Getting to know the types of industrial waste
II week lectures	Waste from the ferro industry. Ferro-slag, Properties of slag. Possibilities of using ferro slag, electric arc furnace dust (ELPD). Reduction of ELPD. Hydrometallurgical treatment of ELPD.
II week exercises	Laboratory: Possibilities of using ferro slag for metallurgical and non-metallurgical purposes
III week lectures	Processing of copper from secondary raw materials. Pyrometallurgical and hydrometallurgical processes, proceseing of lead from secondary raw materials.
III week exercises	Laboratory: Extraction of zinc from ELPD by hydrometallurgical process
IV week lectures	Waste from the aluminum industry - red mud, foundry slag
IV week exercises	Field exercises (waste from aluminum metallurgy)
V week lectures	Possibilities of waste processing from the aluminum industry
V week exercises	Laboratory: Extraction of metals from red mud by the leaching process.
VI week lectures	First midterm exam.
VI week exercises	Correctional first midterm exam.
VII week lectures	Construction waste. - composition and characteristics of construction waste
VII week exercises	Laboratory: using red mud for a processing of construction material.
VIII week lectures	Recycling and reuse of construction waste.
VIII week exercises	Seminar paper: construction waste and the environment
IX week lectures	Waste from thermal power plants. Categorization of waste from thermal power plants. Physical and chemical properties of fly ash.
IX week exercises	Determination of physical and chemical characteristics of fly ash.
X week lectures	The use of fly ash in construction - the possibility fly ash usage as an additive to cement or as a substitute for cement.
X week exercises	Seminar paper: fly ash as an additive to cement in construction.
XI week lectures	Use of fly ash for road construction.
XI week exercises	Seminar paper: Waste from thermal power plants and the environment
XII week lectures	Obtaining alkaline activated binders. Raw materials for the alkaline activation process. Alkaline activation process mechanism. Advantages of alkaline activated binders compared to conventional building materials.
XII week exercises	Laboratory exercises: processing of building material by alkaline activation
XIII week lectures	Field exercises (waste characterization)
XIII week exercises	Field exercises (and iron industry waste)
XIV week lectures	Field exercises (waste from mining and thermal power plants)
XIV week exercises	Second midterm exam.
XV week lectures	Correctional second midterm exam.
XV week exercises	Preparation for the final exam

Student workload	Weekly: 6 ECTS x 40/30 hours = 6 hours 40 min Total workload for the semester = 150 hours
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures, do exercises and do both midterm exams
Consultations	Working days 10-11 am.
Literature	R. Rao, Resource recovery and recycling from metallurgical wastes, 7, Elsevier, Butterworth Heinemann, London 2006, C.S. Brooks, Metal recovery from industrial waste, Lewis Publishers, Inc. Chelsea, MI, 1991 N.L. Nemerow, Industrial waste treatment, Elsevier, Butterworth Heinemann, 2007.
Examination methods	Activity during the lecture: (0 - 5 points), Exercise activity: (0-5 points), I colloquium: (0 - 20 points), II colloquium: (0 - 20 points), Final exam: (0 - 50 points), The student gets the passing grade by collecting 50 points at least.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / SPECIJALNI METALNI MATERIJALI

Course:

SPECIJALNI METALNI MATERIJALI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12240	Obavezan	2	6	3+2+0

Programs
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / IZBOR INŽENJERSKIH MATERIJALA

Course:

IZBOR INŽENJERSKIH MATERIJALA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12241	Obavezan	3	6	2+2+0

Programs
Prerequisites	None.
Aims	Mastering the principles of selection of engineering materials for specific purposes defined by operating conditions.
Learning outcomes	Knowledge of the motives for selection of different groups of materials, understanding of the relationship between material selection criteria and material processing/production, knowledge of material selection criteria in relation to different conditions of occurrence of material damage or work in certain exploitation conditions. Selection of materials according to load conditions, working environment and dimensions, with multi-parameter analysis and use of material maps.
Lecturer / Teaching assistant	prof. dr Kemal Delijić
Methodology	Lessons/exercises, seminar work, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to material selection: motives for selection, value analysis, failure/damage mechanisms.
I week exercises	Motives for the selection of materials.
II week lectures	Engineering materials and their properties. Elements of operational requirements and failure/damage analysis.
II week exercises	Properties of groups of engineering materials, basis of functional analysis of properties.
III week lectures	Relationships between material selection and material processing/production.
III week exercises	Analysis of examples of functional dependence of criteria for material selection and processing.
IV week lectures	Material property maps - material selection strategies.
IV week exercises	Working with maps of material properties - examples.
V week lectures	Material selection in relation to the static strength of the material - selection criteria in relation to elastic properties - safety against excessive elastic deformation.
V week exercises	Examples of material selection - safety against excessive elastic deformation.
VI week lectures	Selection in relation to the static strength of materials - selection criteria in relation to elastic properties - safety against excessive elastic deformation (II term). Colloquium/test
VI week exercises	Seminar papers - case study selection
VII week lectures	Material selection in relation to the static strength of the material - selection criteria in relation to safety from plastic deformation.
VII week exercises	Correcctive colloquium; Examples of material selection - safety against plastic deformation.
VIII week lectures	Material selection in relation to material toughness; material fracture; selection criteria in relation to safety against fracture.
VIII week exercises	Examples of material selection - safety against fracture.
IX week lectures	Material selection in relation to material fatigue; selection criteria in relation to safety against fatigue and fatigue failure/damage.
IX week exercises	Examples of material selection - safety against fatigue.
X week lectures	Selection of materials in relation to creep and behavior at elevated temperatures; selection criteria in relation to safety from excessive plastic deformation.
X week exercises	Examples of material selection - safety against creep.
XI week lectures	Selection of materials in relation to corrosion resistance of materials and stress corrosion conditions.
XI week exercises	Examples of material selection in relation to the corrosion resistance of the material.
XII week lectures	Material selection in relation to friction/abrasion/wear.
XII week exercises	Examples of material selection in relation to the corrosion resistance of the material.
XIII week lectures	Analysis of a selected case study of materials selection according to "Materials Selection in Mechanical Design, M. Ashby, Elsevier (2017)
XIII week exercises	Colloquium/test
XIV week lectures	Analysis of a selected case study of materials selection according to "Materials Selection in Mechanical Design, M. Ashby, Elsevier (2017)
XIV week exercises	Corrective Colloquium/test
XV week lectures	Analysis of a selected case study of materials selection according to "Materials Selection in Mechanical Design, M. Ashby, Elsevier (2017)
XV week exercises	Presentations of seminar papers; Preparation for the final exam.

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Attending lectures and exercises, preparing and defending seminar papers and passing both colloquiums.
Consultations	According to schedule.
Literature	Selection and Use of Engineering Materials, J.A.Charles and F.A.A.Crane, (2002), Materials Engineering, Science, Processing and Design, Michael Ashby, Hugh Shercliff, and David Cebon, Elsevier, (2017), Materials Selection in Mechanical Design, Michael Ashby, Elsevier (2011) Materials Selection in Mechanical Design, Michael Ashby, Elsevier (2017), Materials And Design, Mike.Ashby, Kara.Johnson, Elsevier (2014)
Examination methods	Two colloquiums of 20 points each: 0 - 40 points Seminar paper: up to 10 points Final exam: up to 50 points A passing grade is obtained if at least 50 points are accumulated cumulatively.
Special remarks	None.
Comment	None.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / APPLICATION OF NUMERICAL METHODS IN ENGINEERING

Course:

APPLICATION OF NUMERICAL METHODS IN ENGINEERING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12242	Obavezan	3	6	2+2+0

Programs
Prerequisites	There is no conditioning to other subjects.
Aims	Acquaintance with numerical methods for solving tasks in a wide range of areas of process technology engineering. Mastering theprocessing and analysis of data on processes and technologies using modern technical software packages (eg Statgraphics). Getting toknow the procedure for preparing and solving tasks for functional dependencies of selected processes and systems from the field ofprocess technology engineering using software packages (Matlab-Simulink, FEM).
Learning outcomes	After passing this exam, the student will be able to: 1. Recognize and explain engineering tasks for which numerical solution methods should be used. 2. Understand the possibility of application and choose an adequate method for the significance and planned accuracy of solutions toengineering tasks. 3. Systematize data for measured quantities for a sufficient number of practical problems, understand the task for their processing andanalysis using modern software packages for processing, extrapolation and forecasting changes in process quantities. 4. Apply the Matlab software package for solving mathematical functions in technical problems. 5. Recognize the properties of the system essential for creating a mathematical model and apply the Matlab-Simulink software package forthe simulation of dynamic systems. 6. Compile a simulation scheme of the mathematical functions of the system suitable for solving problems using the FEM program package. 7. Apply the FEM software package for the complete solution of a complex task in the field of engineering.
Lecturer / Teaching assistant	Teachers: Assoc. Dr. Nebojsa Tadić; Asst. Dr. Bozidar Popović.
Methodology	Lectures, exercises, consultations, homework, midterm exams, final exam.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Errors (types, significance).
I week exercises	Solving tasks with error calculations.
II week lectures	Interpolation (forms of interpolation polynomial, error evaluation, spline interpolation).
II week exercises	Solving interpolation problems.
III week lectures	Solving systems of linear equations (norm of vectors and matrices, conditioning of systems of linear equations, methods of solving).
III week exercises	Examples of tasks for solving systems of linear equations.
IV week lectures	Solving nonlinear equations (solution method, systems of nonlinear equations).
IV week exercises	Examples of tasks for solving systems of nonlinear equations.
V week lectures	Least squares problem (method for linear and non-linear least squares problems).
V week exercises	Examples of problems for least squares problems.
VI week lectures	Midterm exam. Numerical integration.
VI week exercises	Examples of problems for numerical integration.
VII week lectures	Numerical solution of ordinary differential equations.
VII week exercises	Examples for the numerical solution of ordinary differential equations.
VIII week lectures	Makeup midterm exam. Numerical solution of partial differential equations.
VIII week exercises	Examples for the numerical solution of partial differential equations.
IX week lectures	TASKS FOR NUMERICAL SOLUTION, MODELING AND SIMULATION IN ENGINEERING.Statistical data processing, interpolation and forecasting - Example solutions using the Statgraphics program. Division of the first task for students independent work (the task is adapted to the module of the study program).
IX week exercises	TASKS FOR NUMERICAL SOLUTION, MODELING AND SIMULATION IN ENGINEERING.Statistical data processing, interpolation and forecasting - Example solutions using the Statgraphics program. Division of the first task for students independent work (the task is adapted to the module of the study program).
X week lectures	TASKS FOR NUMERICAL SOLUTION, MODELING AND SIMULATION IN ENGINEERING.Modeling, simulation and system analysis - Solving tasks for fundamental functions, macro processes and dynamic systems inengineering using the Matlab-Simulink software package. Division of the second task for students independent work (the task is adaptedto the module of the study program).
X week exercises	TASKS FOR NUMERICAL SOLUTION, MODELING AND SIMULATION IN ENGINEERING.Modeling, simulation and system analysis - Solving tasks for fundamental functions, macro processes and dynamic systems inengineering using the Matlab-Simulink software package. Division of the second task for students independent work (the task is adaptedto the module of the study program).
XI week lectures	Modeling, simulation and system analysis. Continuation of work on solving the second independent task of students using the Matlab-Simulink software package.
XI week exercises	Modeling, simulation and system analysis. Continuation of work on solving the second independent task of students using the Matlab-Simulink software package.
XII week lectures	TASKS FOR NUMERICAL SOLUTION, MODELING AND SIMULATION IN ENGINEERING.Solving tasks using the Finite Element Method. Application of the FEM software package for selected examples in engineering. Division of the third task for students independent work (the task is adapted to the module of the study program).
XII week exercises	TASKS FOR NUMERICAL SOLUTION, MODELING AND SIMULATION IN ENGINEERING.Solving tasks using the Finite Element Method. Application of the FEM software package for selected examples in engineering. Division of the third task for students independent work (the task is adapted to the module of the study program).
XIII week lectures	Solving tasks using the Finite Element Method. Continuation of work on solving the third independent task of students.
XIII week exercises	Solving tasks using the Finite Element Method. Continuation of work on solving the third independent task of students.
XIV week lectures	Solving tasks using the Finite Element Method. Continuation of work on solving the third independent task of students.
XIV week exercises	Solving tasks using the Finite Element Method. Continuation of work on solving the third independent task of students.
XV week lectures	Submission and presentation of student works.
XV week exercises	Submission and presentation of student works.

Student workload	Weekly: 6 credits x 40/30 = 8 hours. Total load for the semester: 6 credits x 30 = 180 hours.
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	The student is obliged to attend lectures and exercises, pass the midterm exam and do the tasks for numerical solving.
Consultations	Consultations are on days when there are lectures and exercises, and on other days by agreement with the students.
Literature	R. Scitovski, Numerical mathematics, second edition, Osijek 2004. J. P. Milišić, Introduction to numerical mathematics for engineers, Zagreb, 2013. G. V. Milovanović and others, Numerical mathematics, Collection of solved problems, Niš/Kragujevac, 2002. L J. Stanković and others, Matlab, Podgorica, 2008. Statgraphics Centurion, Version 17 Enhancements, 2015, Statpoint Technologies. L. Lazić, Numerical methods in heat treatment, Sisak, 2007. J. Fluhrer, DEFORMTM 2D - Users Manual, Scientific Forming Technologies Corporation, Ohio.
Examination methods	One midterm exam 20 points; Three independent student works (first - 7, second - 10, third - 13) total 30 points; Final exam 50 points. A passing grade is obtained if 50 points are accumulated cumulatively. The final exam is mandatory.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / ELEKTRONSKA MIKROSKOPIJA I X-RAY MIKROANALIZA

Course:

ELEKTRONSKA MIKROSKOPIJA I X-RAY MIKROANALIZA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12243	Obavezan	3	6	2+2+0

Programs
Prerequisites	No prerequisites
Aims	The course aims to introduce students to the principles of scanning electron microscopy and X-ray microanalysis of heterogeneous materials.
Learning outcomes	After successful completion of this course, students will be able to explain the function of the scanning electron microscope (SEM) and the scanning transmission electron microscope (STEM), explain image formation in scanning electron microscopy and its interpretation, explain making dimensional measurements in the SEM, describe the procedure for specimen preparation, explain the generation of X-rays in the SEM specimen, describe special contrast mechanisms; explain EDS and WDS qualitative analysis; presents quantitative X-ray microanalysis.
Lecturer / Teaching assistant	prof. dr Vanja Asanović
Methodology	Lectures, exercises, homework assignments, quizzes, essay, consultation, midterm exams and final exam.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Scanning electron microscope (SEM). How the SEM works?
I week exercises	Electron probe diameter and electron probe current.
II week lectures	Electron guns. Electron lenses.
II week exercises	Specimen preparation.
III week lectures	Electron beam - specimen interactions.
III week exercises	Specimen preparation.
IV week lectures	Image formation and interpretation. The SEM imaging process.
IV week exercises	Image formation.
V week lectures	Detectors. The roles of the specimen and detector in contrast formation.
V week exercises	Making dimensional measurements in the SEM.
VI week lectures	Image quality. Image processing.
VI week exercises	Midterm exam 1.
VII week lectures	Scanning transmission electron microscope (STEM).
VII week exercises	Consideration of essay topics.
VIII week lectures	Special contrast mechanisms.
VIII week exercises	Make-up Midterm exam 1.
IX week lectures	Generation of X-rays in the SEM specimens.
IX week exercises	EBSD - phase identification.
X week lectures	X-ray spectral measurements: EDS.
X week exercises	Case studies.
XI week lectures	X-ray spectral measurements: WDS.
XI week exercises	Midterm exam 2.
XII week lectures	EDS qualitative analysis.
XII week exercises	Submission of Essay. Essay presentation.
XIII week lectures	WDS qualitative analysis.
XIII week exercises	Make-up Midterm exam 2.
XIV week lectures	Quantitative X-ray microanalysis.
XIV week exercises	Case studies.
XV week lectures	Preparation for final exam.
XV week exercises	Submission of Essay. Essay presentation.

Student workload	Per week: 6 credits x 40/30 hours = 8 hours Total workload for the course: 6 x 30 = 180 hours
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, submit essays and take the midterm exams.
Consultations	Monday and Wednesday, 10:00 - 12:00.
Literature	J. Goldstein et al., Scanning Electron Microscopy and X-ray Microanalysis, Kluwer Academi/Plenum Publishers, New York, 2003.
Examination methods	Essay- total 5 (5 point per essay, total 10 points); Two Midterm exams (15 points each, total 30 points); Final exam (50 points); Passing grade is obtained if at least 50 points are collected.
Special remarks	-
Comment	-

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / NAPREDNI MATERIJALI

Course:

NAPREDNI MATERIJALI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12244	Obavezan	3	6	2+1+1

Programs
Prerequisites	No mutual dependence
Aims	This course has been designed to offer the conceptual frame for understanding of production process, performances and application of advanced materials in the average exploitation conditions as well as the identification of the materials characteristics o responsible for the application response.
Learning outcomes	After completion of this course student should: • Be familiar with the structure and composition of the certain classes of advanced materials, • Have the knowledge about the production of certain classes of advanced materials as a function of physico- mechanical characteristics and application conditions, Make a proper choice of material for the adequate application, • Analyze the structural deficiencies as the consequences of processing
Lecturer / Teaching assistant	Prof. dr Mira Vukčević
Methodology	Lectures, exercises, colloquia, final exam

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Classification of functional and advanced materials
I week exercises	Structure of reinforced composites, optical microscopy , SEM analysis of prepared specimen
II week lectures	Functional composites as the typical represents of advanced materials , classification, characteristics, application etc
II week exercises	Preparation of functional composites for adhesive application in combination with FOS ( Fiber optic sensors)
III week lectures	matrix materials in functional composites, borderline ntephases surfaces, reinforcements
III week exercises	Microstructure analysis of composite reinforced by nanofillers ( nanotubes) on already prepared specimen
IV week lectures	Reinforcement types
IV week exercises	Case studies: fiber optics, sensors, fibres
V week lectures	Materials for magnetic applications
V week exercises	Case study: Examination of the already prepared specimen with inserted FOS
VI week lectures	Materials for optic application
VI week exercises	Classes of materials for optic application
VII week lectures	Bio-materials, classes of materials for medical application
VII week exercises	I Colloquium
VIII week lectures	Bio-materials in medicine and stomatology
VIII week exercises	Case study: Biomaterials in medicine
IX week lectures	Bio materials in medicine: coatings, implants
IX week exercises	Case study: materials for the application in prosthetic implantology
X week lectures	Ultra-light materials, metallic foams, classes and application
X week exercises	Case study. ultra-light materials
XI week lectures	Metallic foams, application
XI week exercises	Case study: metallic foams
XII week lectures	Materials for coatings
XII week exercises	Case study: Materials for coatings
XIII week lectures	Coatings and refractory materials
XIII week exercises	Case study: Refractory materials
XIV week lectures	Nano materials, "smart" materials , characteristics, application
XIV week exercises	Case study: nano materials
XV week lectures	Smart materials, characteristics
XV week exercises	II colloquium

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Active participation in lectures and exercises, two colloquoia, final exam
Consultations	Any day up to 10 a.m
Literature	Cellular Solids, Structure and Properties, 2nd Edition, L.J. Gibson, and M.F. Ashby, Cambridge University Press, 1999. • Ashby, M. F., Evans, A., Fleck, N. A., Gibson, L. J., Hutchinson, J. W., & Wadley, H. N. G., Metal Foams: A Design Guide, Butterworth-Heinmann, Massachusetts; 2000 • Cobalt-Base Alloys for Biomedical Applications, Disegi, Kennedy, and Pilliar, ASTM _STP1365. • Advanced Ceramics, Vol.1- Bioceramics, J. F. Shackelford, Gordon and Breach Science Publishers, 1999. • Skeletal Tissue Mechanics, R. B. Martine, D. B. Burr, and N. A. Sharkey, Springer, 1998 • Materials Science of Thin Films, 2nd Edisiotn, Milton Ohring, Academic Press, 2002. • Mechanics of Fibrous Composites, C.T. Herakovich, John Wiley & Sons, Inc., New York, 1998. • Materials Science and Engineering, An Introduction, 5th Edition, William D. Callister, Jr., John Wiley & Sons, Inc., New York, 1999, with CD-ROM. • Bolton W.2002 Technology of Engineering Materials Butterworth Heinemann • Fundamentals of Modern Manufacturing, Materials, Processing, and Systems, 2nd edition, Mikell P. Grrover, John Wiley & Sons, inc., • Fundamentals of meta matrix composites, S. Suresh, A. Mortensen and A Needleman, Butterworth Heinemann, 1993 • Structure and properties of engineering materials, fifth edition, Henkel and Pense, McGraw Hill, 2002 • .R. Aleksić, Funkcionalni kompozitni materijali Kompozitni materijali, skripta u izdanju TMF Beograd (2013) • D.D.I Chung , Applied materials science-Application of Engineering materials in structural electronics, Thermal and other industries, CRC Press (2001) ISBN 0-8493-1073-3
Examination methods	Activity on lectures and exercises (0-10 poena) -I colloquium: (0-20 poena), - II colloquium (0-20 poena), - Final exam (0-50 poena) Prelazna ocjena se dobija ako se kumulatino skupi najmanje 50 poena
Special remarks	-
Comment	-

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Metalurgy and Technology / / INŽENJERSTVO POVRŠINA

Course:

INŽENJERSTVO POVRŠINA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
12245	Obavezan	3	6	2+1+1

Programs
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points