Faculty of Metalurgy and Technology / METALLURGY AND / MATHEMATICS I

Course:

MATHEMATICS I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
302	Obavezan	1	7	3+2+0

Programs	METALLURGY AND
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 0 sat(a) practical classes 2 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 / METALLURGY AND / PHYSICS

Course:

PHYSICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
303	Obavezan	1	5	2+1.5+.5

Programs	METALLURGY AND
Prerequisites	No.
Aims	Understanding the basic laws of physics and their application in various fields
Learning outcomes	- The student explains the basic laws of physics - Applies the laws of physics in solving concrete problems - Analyzes phenomena in nature using the laws of physics - Connects the laws of general physics with problems that arise in other fields
Lecturer / Teaching assistant	Krsto Ivanović
Methodology	Lectures, exercises, work in laboratory

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Average and instantaneous speed. Acceleration. Uniformly rectilinear motion. Uniformly accelerated and decelerated motion.
I week exercises	Average and instantaneous speed. Acceleration. Uniformly rectilinear motion. Uniformly accelerated and decelerated motion.
II week lectures	Motion in a circle. Rotation of rigid bodies. Relative velocity.
II week exercises	Motion in a circle. Rotation of rigid bodies. Relative velocity.
III week lectures	Newtons laws of motion. Mass and weight. Frictional forces. Momentum.
III week exercises	Newtons laws of motion. Mass and weight. Frictional forces. Momentum.
IV week lectures	Work and power. Potential and kinetic energy. Conservation of energy.
IV week exercises	Work and power. Potential and kinetic energy. Conservation of energy.
V week lectures	Non - inertial reference frames.
V week exercises	Non - inertial reference frames.
VI week lectures	Keplers laws. Newtons law of gravity. The strength and potential of gravitational field. Cosmic velocities.
VI week exercises	Keplers laws. Newtons law of gravity. The strength and potential of gravitational field. Cosmic velocities.
VII week lectures	Freely falling bodies. Projectile motion.
VII week exercises	Freely falling bodies. Projectile motion.
VIII week lectures	Pressure. Pascals law. Hydrostatic pressure. Atmospheric pressure. Buoyant force and Archimedes law.
VIII week exercises	Pressure. Pascals law. Hydrostatic pressure. Atmospheric pressure. Buoyant force and Archimedes law.
IX week lectures	Continuity equation. Bernoullis equation.
IX week exercises	Continuity equation. Bernoullis equation.
X week lectures	Elastic deformations. Hookes law.
X week exercises	Elastic deformations. Hookes law.
XI week lectures	Simple harmonic motion. The simple pendulum. Damped oscillations. Forced oscillations. Waves.
XI week exercises	Simple harmonic motion. The simple pendulum. Damped oscillations. Forced oscillations. Waves.
XII week lectures	Acoustics.
XII week exercises	Acoustics.
XIII week lectures	Electrostatics. Electrical current. Kirchhoffs rules.
XIII week exercises	Electrostatics. Electrical current. Kirchhoffs rules.
XIV week lectures	Magnetism. Geometric optics.
XIV week exercises	Magnetism. Geometric optics.
XV week lectures	Atomic and nuclear physics.
XV week exercises	Atomic and nuclear physics.

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 0 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	Regular attending of classes, work in the laboratory, taking the colloquium and the final exam
Consultations	Consultations can be scheduled in agreement with the teacher
Literature	J. Janjić, I. Bikit, N. Cindro, Opšti kurs iz fizike I J. Janjić, I. Bikit, N. Cindro, Opšti kurs iz fizike II D. Halliday, R. Resnick, J. Walker, Fundamentals of physics M. Mitrinović, G. Dimić - Zbirka zadataka iz fizike
Examination methods	Laboratory - 10 points First colloquium - 20 points Second colloquium - 20 points Final exam - 50 points
Special remarks	No.
Comment	No.

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 / METALLURGY AND / MATHEMATICS II

Course:

MATHEMATICS II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
309	Obavezan	2	5	2+2+0

Programs	METALLURGY AND
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
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 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
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 / METALLURGY AND / METALLURGICAL FURNACES

Course:

METALLURGICAL FURNACES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
322	Obavezan	5	6	3+2+0

Programs	METALLURGY AND
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 / METALLURGY AND / ELECTROTECHNICS AND ELECTRONICS

Course:

ELECTROTECHNICS AND ELECTRONICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
324	Obavezan	3	4	2+2+0

Programs	METALLURGY AND
Prerequisites
Aims
Learning outcomes	Passing the exam in this subject implies that the student can: 1. Define the concept of electrostatic field and the basic quantities that describe it. 2. Define the concept of a linear electrical circuit and the basic principles that describe it (Ohms law, Joules law, Kirchhoffs laws) and solve a direct current circuit. 3. Describe phenomena in the magnetic field and their applications. 4. Describe the behavior of resistors, coils, and capacitors in alternating current circuits. 5. Explain the operating principle and basic characteristics of transformers, asynchronous machines, and direct current machines. 6. Explain the operating principle of basic electronic elements and circuits. 7. Solve standardized problems and analyze the obtained solutions.
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
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 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) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 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 / METALLURGY AND / FERROUS METALLURGY

Course:

FERROUS METALLURGY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
326	Obavezan	6	7	3+2+0

Programs	METALLURGY AND
Prerequisites	Without mutual dependence
Aims	Learning about technologies of ironmaking and steelmaking
Learning outcomes
Lecturer / Teaching assistant	Zarko Radovic
Methodology	Lectures, exercise . Consulting.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Early history of Iron
I week exercises	Introductory consideration
II week lectures	Iron ore and agglomerates
II week exercises	Estimation of sintermaking process
III week lectures	Blast furnace ironmaking
III week exercises	Constructional features of the blast furnace
IV week lectures	BF fuel. BF slag.
IV week exercises	Estimation of BF fuel combustion
V week lectures	Kinetics of reduction of iron oxides in BF
V week exercises	Mass balances of BF
VI week lectures	Structure and properties of BF slag
VI week exercises	Mass balances of BF
VII week lectures	BF products and their utilisation
VII week exercises	I Colloquium
VIII week lectures	Corrective I Colloquium
VIII week exercises	Technologies of steelmaking
IX week lectures	Physical chemistry of primary steelmaking
IX week exercises	Introduction
X week lectures	Metallurgical features of oxygen steelmaking
X week exercises	Reaction equilibria in steelmaking
XI week lectures	Estimation of BOF process
XI week exercises	II Colloquium
XII week lectures	Electric arc furnace steelmaking
XII week exercises	Estimation of mass balance of EAF
XIII week lectures	Deoxidation of liquid steel
XIII week exercises	Estimation of desulphurisation process
XIV week lectures	Secondary steelmaking
XIV week exercises	Corrective II Colloquium
XV week lectures	Clean steel technology
XV week exercises	Ingot casting of steel

Student workload
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 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	1. W. Kurz, D.J. Fisher: Fundamentals of Solidification, Trans. Tech. Publ., Lousiane, 1986. 2. V. A. Kudrin: Steelmaking, Mir Publishers, Moscow, 1990. 3. Mirko Gojić: Metalurgija čelika, Zagreb, 2007. 4. V. Trujić, N. Mitevska : Metalurgija gvožđa, Bor, 2007. 5. S. Muhamedagić: Metalurgija gvožđa, Zenica 2005. 6. V. Grozdanić, A. Markotić : Metalurgija gvožđa i čelika (Zbirka zadataka), Sisak, 2006.
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 / METALLURGY AND / HEAT TREATMENT OF METALS

Course:

HEAT TREATMENT OF METALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
331	Obavezan	5	6	3+1+1

Programs	METALLURGY AND
Prerequisites	No prerequisites
Aims	Starting from the physical metallurgy in dealing with heat treatment of metal materials, primarily the specifics of phase transformations on which many types of heat treatment are based, the knowledge of the basic procedures of practical heat treatment will be enabled.
Learning outcomes	After successful completion of this course, the student will be able to explain different processes of heat treatment of steel, aluminium alloys, and copper alloys; describe failures of heat treatment of metal materials; choose the heat treatment method and its parameters to ensure the required properties of various structural parts, tools, welded structures.
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	Introduction. Common types of metal heat treating methods. Heat treatment and equilibrium state phase diagrams.
I week exercises	Heating of the steel to the specific heat treatment temperature.
II week lectures	Phase transformation during heating of the steels.
II week exercises	Laboratory exercise: Recrystallization.
III week lectures	Phase transformation during cooling of the steels. Phase transformation in steels during tempering.
III week exercises	Laboratory exercise: Soft annealing.
IV week lectures	Methods of steel heat treatment. Heating of the steel, annealing.
IV week exercises	Laboratory exercise: Normalizing.
V week lectures	Hardening. Tempering of the steel.
V week exercises	Laboratory exercise: Hardening.
VI week lectures	Surface hardening.
VI week exercises	Midterm exam 1. Laboratory exercise: Tempering.
VII week lectures	Chemical heat treatment.
VII week exercises	Laboratory exercise: Method of determining the hardenability.
VIII week lectures	Thermomechanical treatment.
VIII week exercises	Make-up Midterm exam 1. Consideration of essay topics.
IX week lectures	Heat treatment of welded joints. Heat treatment of iron Heat treatment of aluminium alloys.
IX week exercises	Laboratory exercise: Isothermal hardening of nodular irons.
X week lectures	Heat treatment of copper.
X week exercises	Laboratory exercise: The cementation of steel.
XI week lectures	Heat treatment of titanium alloys.
XI week exercises	Midterm exam 2. Laboratory exercise: Recrystallization of aluminium alloys.
XII week lectures	Heat treatment of magnesium alloys.
XII week exercises	Laboratory exercise: Precipitation hardening in aluminium alloys. Submission of Essay.
XIII week lectures	Heat treatment equipment. Work protection.
XIII week exercises	Make-up Midterm exam 2.
XIV week lectures	Process control. Designing the technological processes.
XIV week exercises	The construction of isothermal transformation diagrams (TTT diagrams).
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, submit two essays and take two midterm exams.
Consultations	Monday and Wednesday, 10:00 - 12:00.
Literature	B. Radulović, Heat treatment of metals. B. Radulović, V. Asanović, Practicum in Metal Heat Processing, MTF, 1997. I .I. Novikov, Teorija termičke obrade metala, Moskva,1986. J. L. Dossett, H. E. Boyer, Practical Heat Threating, ASM International, 2006. T. V. Rajan, C. P. Sharma, A. Sharma, Heat Treatment: Principles and Techniques, PHI Learning, Private Limited, New Delhi, 2011.
Examination methods	Active student participation in the classroom (total 5 points); Homework- total 5 (1 point per homework, total 5 points); Two essays (5 points 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 / METALLURGY AND / CORROSION AND PROTECTION OF MATERIALS

Course:

CORROSION AND PROTECTION OF MATERIALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
348	Obavezan	4	5	2+0+2

Programs	METALLURGY AND
Prerequisites	No conditionality
Aims	Through the course, the student should become familiar with the corrosion processes for the cases of metals, alloys/the environment surrounding them. On the basis of the system metal/solution, melt, soil and atmosphere, learn about modern protection systems for metals and alloys in the environment that surrounds them (solution, melt, air, soil, etc.)
Learning outcomes	After the student passes this exam, he will be able to: explain the mechanisms of corrosion processes; apply methods of corrosion tests; evaluate the possibilities of using certain materials in a specific corrosion environment; propose an adequate corrosion protection system in the given conditions
Lecturer / Teaching assistant
Methodology	Lectures, exercises (laboratory), learning and independent preparation of practical tasks. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction, classification of corrosion processes.
I week exercises	Lab exercises
II week lectures	Thermodynamics and kinetics of corrosion processes. Chemical and electrochemical mechanisms of corrosion.
II week exercises	Lab exercises
III week lectures	Corrosion potential. Corrosion controlling factors.
III week exercises	Lab exercises
IV week lectures	Uniform, pitting, intercrystalline, contact, base and underground corrosion.
IV week exercises	Lab exercises
V week lectures	Corrosion of metals and alloys under sea conditions.
V week exercises	Lab exercises
VI week lectures	Corrosion of metals and alloys in organic solutions
VI week exercises	Lab exercises. First Colloquium
VII week lectures	The influence of microorganisms on the rate of corrosion of metals and alloys.
VII week exercises	Lab exercises
VIII week lectures	Methods of determining corrosion rate, corrosion diagrams, construction and analysis.
VIII week exercises	Lab exercises. Corrective First Colloquium
IX week lectures	Passivators and their application for metals and alloys. Inhibitors and their application.
IX week exercises	Lab exercises
X week lectures	Material protection technology and surface preparation. Galvanic coatings. High-temperature inorganic coatings.
X week exercises	Lab exercises
XI week lectures	Electrochemical protection of metals and alloys in solutions and melts. Cathodic, anodic and protector protection.
XI week exercises	Lab exercises
XII week lectures	Protection of non-ferrous metals and alloys. Anodization and painting of aluminum.
XII week exercises	Lab exercises
XIII week lectures	Protection of metal materials with organic and organic-inorganic coatings.
XIII week exercises	Lab exercises. Second Colloquium
XIV week lectures	Temporary protection of materials. Preservation and temporary protection.
XIV week exercises	Lab exercises
XV week lectures	Protection and waterproofing of concrete and reinforced concrete constructions and facilities.
XV week exercises	Lab exercises. Corrective Second Colloquium

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 2 sat(a) practical classes 0 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, complete laboratory exercises and do both colloquiums.
Consultations	Thursday 10-12
Literature	S.Mladenović, Korozija i zaštita materijala, TMF Beograd, 1978. Dr F.Sebenji – Dr L.Hakl, Korozija metala, Tehnička knjiga Beograd, 1980. S.Serdiks, Corrosion of Stanless Steels, 2nd Edition, 1996.
Examination methods	- Activity during the lecture (0-5 points) - Exercise activity and report submission (0-5 points) - I colloquium (0-20 points) - II colloquium (0-20 points) - Final exam (0-50 points) A passing grade is obtained if 50 points are accumulated cumulatively.
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 / METALLURGY AND / GENERAL CHEMISTRY

Course:

GENERAL CHEMISTRY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1071	Obavezan	1	7	3+0+3

Programs	METALLURGY AND
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 3 sat(a) practical classes 0 excercises 3 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 / METALLURGY AND / PHYSICAL METALLURGY-BASICS OF STRENGHT&PLASTICITY

Course:

PHYSICAL METALLURGY-BASICS OF STRENGHT&PLASTICITY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1480	Obavezan	4	7	3+2+0

Programs	METALLURGY AND
Prerequisites	No prerequisites
Aims	This course aims to introduce the changes in the structure of metal materials during thermomechanical processing. Enabling students to explain the influence of microstructures on mechanical properties, that is, on the behaviour of deformed and deformed and annealed metal materials. Introduction to the basic characteristics of fracture of metallic materials, fatigue of metallic materials and creep.
Learning outcomes	After successful completion of this course, the student will be able to explain changes in structure during thermomechanical processing and analyze the influence of structure on mechanical properties, which is the basis for understanding the interdependence of composition, thermomechanical processing, structure and mechanical properties of metal materials; understands the mechanisms that, as a result of the action of an external force, lead to changes in the structure and determine the final properties of the material; acquiring knowledge about the physical basis of fracture occurrence in materials, fracture mechanisms and static deformation at elevated temperatures, solves problems encountered in practice in the field of physical metallurgy.
Lecturer / Teaching assistant	Prof. dr Vanja Asanović
Methodology	Lectures, exercises. Homework assignments. Quizzes. Essay. Consultation.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Crystal defects. Vacancies.
I week exercises	Vacancy movement mechanisms, sources and sinks of vacancies, interstitial defects. Exercises. Homework 1.
II week lectures	Dislocations and slips. Crystal plasticity. Geometry of dislocations and movement of dislocations.
II week exercises	Basic characteristics and mechanisms of plastic deformation. Exercises. Homework 2.
III week lectures	Elastic properties of dislocations. Multiplication and mobility of dislocations. Reactions of dislocations.
III week exercises	Dislocations. Exercises and case studies. Homework 3.
IV week lectures	Twins and twinning. Surface boundaries.
IV week exercises	Slip and twinning, grain boundaries and subgrain boundaries. Case studies. Quiz 1: Dislocations and slip. Homework 4.
V week lectures	Work hardening. Dislocation mechanism. Dislocation substructure.
V week exercises	Strengthening mechanisms. Exercises. Case studies. Quiz 2: Twins and twinning. Surface boundaries. Homework 5.
VI week lectures	Deformation and strengthening of polycrystalline materials.
VI week exercises	Midterm exam 1. Plastic yielding criteria. Exercises and case studies. Homework 6.
VII week lectures	Solid solution strengthening. Reactions of dislocations with dissolved atoms. Dislocation substructure.
VII week exercises	Solid solution strengthening. Exercises and case studies. Homework 7.
VIII week lectures	Precipitation hardening and dispersion strengthening.
VIII week exercises	Make-up Midterm exam 1. Submission of homework 1 - 5.
IX week lectures	The behaviour of deformed metal during heating. Recovery.
IX week exercises	Precipitation strengthening. Case studies. Homework 8. Consideration of essay topics.
X week lectures	Recrystallization. Grain growth.
X week exercises	Recrystallization. Exercises. Quiz 3: Deformation and strengthening. Homework 9.
XI week lectures	Texture. Effect of texture on properties.
XI week exercises	Midterm exam 2. Quiz 4: Behavior of deformed metal during heating.
XII week lectures	Fracture. Dislocation mechanism of brittle fracture. Macroscopic and microscopic properties of brittle and ductile fracture.
XII week exercises	Texture. Examples. Homework 10.
XIII week lectures	Material fatigue.
XIII week exercises	Make-up midterm exam 2. Quiz 5: Fracture and fatigue of materials.
XIV week lectures	Creep.
XIV week exercises	Essay presentation. Submission of homework 6-10.
XV week lectures	Preparation for the final exam.
XV week exercises	Solving the selected problems.

Student workload	Per week: 7 credits x 40/30 hours = 9 hours and 20 minutes Total workload for the course: 7 x 30 = 210 hours
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 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	Students are required to attend classes, do their homework, submit essay and take the midterm exams.
Consultations	Monday and Wednesday, 10:00 - 12:00.
Literature	Đ. Drobnjak, Fizička metalurgija, Fizika čvrstoće i plastičnosti I, TMF, Beograd, 1990. R. E. Smallman, A. H. W. Ngan, Modern Physical Metallurgy, Butterworth-Heinemann, Oxford, 2014. B. Perović, Fizička metalurgija, MTF, Podgorica, 1997.
Examination methods	Homework- total 10 (1 point per homework, total 10 points); Essay (5 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 / METALLURGY AND / INORGANIC CHEMISTRY

Course:

INORGANIC CHEMISTRY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2257	Obavezan	2	6	3+0+3

Programs	METALLURGY AND
Prerequisites	There is no requirement to register and listen course.
Aims	By studying this course, students acquire basic knowledge in inorganic chemistry: they get to know the elements of PSE, their more important compounds, properties and applications and are trained for practical work through laboratory exercises.
Learning outcomes	Student need to: - Knows the general characteristics of s, p and d -elements - Connects the laws and trends of changing important quantities in the periodic table of elements with the position of elements in PSE,atom structure and chemical bond - Classifies the basic types of inorganic compounds by their properties structure and application - Applies the acquired knowledge of coordination compounds with special emphasis on important and potentially application Important coordination of units - Compares the physical and chemical properties of the basic types of inorganic compounds depending on the elements that build them and their oxidation number - Assesses the potential toxicity of major groups of inorganic compounds -Demonstrates laboratory and teamwork skills
Lecturer / Teaching assistant	Prof. dr ŽeljkoJaćimović, Msc Mia Stanković
Methodology	Lectures and laboratory exercises. Students perform 12 laboratory exercises and do 3 homework related to material done on laboratory exercises and 2 control tests related to material done at lectures. Students have special preparatory appointments for taking colloquiums and exams.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction and sharing information about the subject. Chapter processing: Complex (coordination compounds)
I week exercises	Oxido-reduction reactions
II week lectures	Processing chapters: General character of s and p elements, hydrogen
II week exercises	Complex (coordination) compounds
III week lectures	Processing chapter : Elements I group PSE (alkali metals). PZControl Test
III week exercises	Laboratory obtaining and purification of hydrogen, oxygen, nitrogen, carbon(IV)oxide and hydrogen sulfide
IV week lectures	Chapter processing: Elements of group 13 PSE (group of wrinkles)Results and analysis of the test.
IV week exercises	Characteristic reactions of major cations.
V week lectures	Processing chapters: Elements of group 14 PSE (carbon group)
V week exercises	Characteristic reactions of major anions (sulfate, carbonate, phosphate, chloride and sulfide anion) Division of I homework
VI week lectures	Processing chapters: Elements of the 15 group PSE (nitrogen group)
VI week exercises	Elements of the 14 group PSE (tin and lead). Division of II homework. Deliver I homework
VII week lectures	Chapter processing: Elements of group 16 PSE (chalcogenic elements, oxygen)
VII week exercises	Elements 15 of group PSE (arsenic, antimony and bismuth).Deliver III homework.
VIII week lectures	Chapter processing: Elements of group 16 PSE (chalcogenic elements, sulfur, selenium, tellurium and polonium)
VIII week exercises	Elements of 11 groups( copper and silver)
IX week lectures	Chapter processing: Elements of group 17 PSE (halogen elements)
IX week exercises	Elements 6 and 7 groups (chromium and manganese)
X week lectures	Chapter processing: Elements of group 18 PSE (noble gases). General characteristics of d and f elements. Pz Control Test
X week exercises	Elements 8,9 and 10 groups OF PSE (iron, cobalt, nickel) Division III homework
XI week lectures	Chapter processing: Elements 11 of group PSE (copper, silver, gold)Results and analysis of the test.
XI week exercises	Synthesis of inorganicpreparationandyieldcalculation. Deliver III homework.
XII week lectures	Chapter processing: Elements of group 12 PSE (zinc, cadmium and mercury)
XII week exercises	Synthesis of inorganicpreparationandyieldcalculation-Part II COLLOQUIUM
XIII week lectures	Chapter processing: Elements 6 and 7 of groups PSE (chromium, molybdenum, tungsten and manganese)
XIII week exercises	Results and analysis of colloquiums
XIV week lectures	Chapter processing: Elements 8,9 and 10 PSE (iron, cobalt, nickel)
XIV week exercises	Remedial COLLOQUIUM
XV week lectures	Consultations, answers to students questions and preparation for the exam
XV week exercises	Results and analysis of colloquiums

Student workload	Per week 8 credits x 40/30 = 11.06 hours Lectures: 2.15 hours Exercises: 2.15 hours Individual student work: 6.36 hours of self-study In thesemester Teachingandfinalexam: (11.06 x16)= 177.36 hours Necessarypreparationbeforethebeginning of thesemester (administration, enrollment, certification) 2 x 11.06 = 22 hoursand 18 minutes Total loadforobject 8x30 = 240 hours Preparation of remedialcolloquiumsandexams, includingpassing a remedialcolloquiumandexam from 32 hours 36 minutes. Necessarypreparationsforperforminglaboratoryexercises (15 x 0.5 hours)= 7 hoursand 30 minutes Load structure: 177hours and 36 minutes (classes) + 22 hours and 18 minutes (preparation) + 40 hours and 06 minutes (supplementary work):
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 3 sat(a) practical classes 0 excercises 2 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 complete the program provided exercises.
Consultations	Prof.dr ŽeljkoJaćimović - Wednesday from 10-12h Msc Mia Stanković - terms after lab.exercises
Literature	(1) Filipović, S. Lipanović, Opća i organska kemija, Školska knjiga, Zagreb, (2) D. Poleti, Opsta hemija II dio/Hemija elemenata, TMF Beograd (3) M.Dragović, M.Popović,S.Stević, V. Šćepanović, Opšta hemija I dio (4) V. Češljević, V. Leovac, E. Ivegeš, Praktikum neorganske hemije- prvi dio, PMF Novi Sad (5) S. Nešić, J.Vučetić, Neorganska preparativna hemija (6) S. Nešić ,R.Bulajić, A. Kostić, S. Marinković, Praktikum opšte hemije sa kvalitativnom analizom
Examination methods	Attendance lectures and control tests-3 points (2 control tests), attendance exercises and submit reports-4 points, homework 3 points, colloquium-40 points, final exam-50 points. The exam was passed with 50 points.
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 / METALLURGY AND / UVOD U METALURGIJU I MATERIJALE

Course:

UVOD U METALURGIJU I MATERIJALE/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2258	Obavezan	2	4	2+1+0

Programs	METALLURGY AND
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
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 2 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 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) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 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 / METALLURGY AND / TECHNICAL DOCUMENTATION

Course:

TECHNICAL DOCUMENTATION/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2919	Obavezan	1	4	2+2+0

Programs	METALLURGY AND
Prerequisites	No conditionality.
Aims	Through this course, students are introduced to the basic procedures for creating technical documentation and the basic elements of machines and devices in the field of mechanical engineering, metallurgy and technology.
Learning outcomes	After the student completes this exam, he will be able to: 1. Understand basic terms, standards and their application in the preparation of technical documentation. 2. Draw various types of sketches, schemes, and drawings of various subjects. 3. Observe and display objects in space (axonometry). 4. Displays objects in orthogonal projections. 5. Creates certain parts of technical documentation in the classic way using pen and paper and on the computer using the AutoCAD software package.
Lecturer / Teaching assistant	Prof. dr Darko Bajić, BSc Mirjana Šoškić
Methodology	Lectures and exercises in the computer classroom/laboratory. Learning and independent preparation of practical tasks. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Product development and supporting documentation. Types of technical drawings. Application of computers in the preparation of documentation.
I week exercises	Application of standards. Types of lin.es and their use. Formats and scales. Technical letter
II week lectures	Procedures for representing the body in the drawing. Orthogonal projections. Procedures for drawing and applying sections.
II week exercises	Showing the given subject in three orthogonal projections. First graphic work - pencil drawing.
III week lectures	Dimension. Heading of components and marking of drawings. Materials, their marking and labeling.
III week exercises	Showing the given subject in three orthogonal projections. First graphic work - pencil drawing.
IV week lectures	Surface treatment and protection. AutoCAD: Commands for changing the shape and dimensions of objects in the drawing. Drawing straight lines. Commands for changing the shape and dimensions of the object in the drawing.
IV week exercises	AutoCAD: Drawing arcs, Zoom, Precise selection of points on the object. Drawing ellipses. Commands for selecting objects. Commands for moving and deleting objects. Copy.
V week lectures	I COLLOQUIUM: Presentation of objects in three orthogonal projections. (pencil drawing)
V week exercises	I COLLOQUIUM: Presentation of objects in three orthogonal projections. (pencil drawing)
VI week lectures	AutoCAD: Properties of objects. Levels. Line types. Line thickness and color.
VI week exercises	AutoCAD: First homework - drawing the selected figure in AutoCAD.
VII week lectures	CORRECTIVE COLLOQUIUM I
VII week exercises	CORRECTIVE COLLOQUIUM I
VIII week lectures	Procedures of axonometric display of subjects. Isometry, Dimetry, Oblique projection. Procedures for sketching objects.
VIII week exercises	Displaying objects in axonometry based on given orthogonal projections. Second graphic work - pencil drawing.
IX week lectures	AutoCAD: Dimension.
IX week exercises	AutoCAD: Drawing simpler figures composed of lines, circles and arcs. Second homework - drawing the selected figure in AutoCAD.
X week lectures	AutoCAD: Entering text into drawings. Entering hatch.
X week exercises	AutoCAD: Creating a drawing of a given subject in a sufficient number of orthogonal projections.
XI week lectures	Elements of machines, devices and plants. Joints and joining elements.
XI week exercises	Making a drawing of the assigned subject in a sufficient number of orthogonal projections. The third graphic work - drawing on the computer.
XII week lectures	Torque transmission elements: friction, gear, belt and chain transmissions.
XII week exercises	Making a drawing of the assigned subject in a sufficient number of orthogonal projections. The third graphic work - drawing on the computer. Continued from the V-11.
XIII week lectures	Elements of rotary movement: axles, shafts, pins, couplings and bearings.
XIII week exercises	AutoCAD: Drafting drawings. Printing drawings.
XIV week lectures	Pressure vessels and pipe transport elements - Purpose and structural forms.
XIV week exercises	II COLLOQUIUM: Drawing the given figure on the computer.
XV week lectures	CORRECTIVE COLLOQUIUM II
XV week exercises	CORRECTIVE COLLOQUIUM II

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 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) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and exercises, do homework, and colloquiums.
Consultations	2 times per week
Literature	D.Bajić, Pripremljena predavanja (MPPT), 2022. T. Pantelić, Tehničko crtanje, Građevinska knjiga Beograd, 1990.
Examination methods	Attendance at classes and exercises 2 points. Three graphics and two homework tasks are evaluated with a total of 15 points. Two colloquiums of 16 points each (32 points in total). Final exam 51 points. A passing grade is obtained if at least 50 points are accumulated cumulatively.
Special remarks	The exam is taken in writing
Comment	Additional information in room 418 or darko@ucg.ac.me

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 / METALLURGY AND / THERMODINAMICS OF MATERIALS

Course:

THERMODINAMICS OF MATERIALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2987	Obavezan	2	6	3+2+0

Programs	METALLURGY AND
Prerequisites	No prerequisites
Aims	To introduce students with a basic knowledge of thermodynamics of materials, a science that studies macroscopic states and energy transformations during various physico-chemical processes, in order to more easily master theoretical and practical problems in the field of materials in the further course of studies.
Learning outcomes	After passing the exam, the student will be able to: - Defines basic thermodynamic concepts, quantities of state and process and equation of state and interprets thermodynamic laws; - It defines the conditions of the process and the balance criteria - Interprets the thermodynamic bases of ideal and real solutions, Raults and Henrys law - Interprets the thermodynamic basis of crystal structure defects - Defines the concept of heterogeneous reactions, reaction rate and diffusion rate.
Lecturer / Teaching assistant	Prof. Irena Nikolić , PhD
Methodology	Lectures, exercises (calculation), preparation of homework. Consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Basic thermodynamic terms. The system. Energy. State and process quantities. Equation of state.
I week exercises	Calculation: gas laws
II week lectures	The first law of thermodynamics. Heat and work. Internal energy. Enthalpy. Balance equations.
II week exercises	Calculations: first law of thermodynamics. Heat and work. Internal energy. Enthalpies. Balance equations
III week lectures	The second law of thermodynamics. Entropy as a quantity of state.
III week exercises	Calculation: the second law of thermodynamics. Entropy.
IV week lectures	Auxiliary thermodynamic functions. The third law of thermodynamics. Partial molar sizes.
IV week exercises	Calculation: The third law of thermodynamics and auxiliary thermodynamic functions.
V week lectures	Balance criteria. Equilibrium conditions.
V week exercises	Calculation: Chemical potential. Conditions for the process. Equilibrium criteria. Equilibrium conditions.
VI week lectures	Equilibrium constant. Change in equilibrium constant with temperature. Ellingham diagrams.
VI week exercises	Calculation: Equilibrium constant. Changes in the equilibrium constant with temperature. Ellingham diagrams.
VII week lectures	First midterm exam
VII week exercises	Correctional first midterm exam
VIII week lectures	Thermodynamics of solutions. Ideal and real solutions.
VIII week exercises	Calculation: Thermodynamics of solutions. Ideal and real solutions.
IX week lectures	Thermodynamic quantities of solutions. Methods of determining activity. Regular solutions.
IX week exercises	Calculation: thermodynamic quantities of solutions. Activity determination methods and regular solutions
X week lectures	Thermodynamic basis of phase diagrams. Determination of activity based on phase diagrams.
X week exercises	Determination of activity based on phase diagrams.
XI week lectures	Thermodynamics of defects. Types of defects. Defects in compounds. Wagners theory of oxidation.
XI week exercises	Calculation: thermodynamics of defects.
XII week lectures	Statistical thermodynamics. Macro states and micro states. Boltzmanns hypothesis.
XII week exercises	Calculation: statistical thermodynamics
XIII week lectures	Kinetics of heterogeneous reactions. Phenomena in heterogeneous reactions. Rate of reaction and diffusion.
XIII week exercises	Calculation: kinetics of heterogeneous reactions.
XIV week lectures	Application of the general laws of kinetics of reactions in the solid state.
XIV week exercises	Calculation: Application of the general laws of kinetics of reactions in the solid state.
XV week lectures	Second midterm exam
XV week exercises	Correctional second midterm 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 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	Attending classes, passing the midterm the final exams
Consultations	Working days 10-11 h.
Literature	Ž. Živković: Principi metalurške termodinamike, TF Bor 1997; D. Blečić: Teorija metalurških procesa(I dio), Unireks Nikšiđ 1994; D. Ragone: Thermodinamics of Materials, John Wiley, New York 1995. Ž. Živković: Zbirka zadataka iz teorije metalurških procesa ( I i II dio)TF Bor, 1994 i 2001.
Examination methods	ctivity during the lecture: (0 - 3 points), - Exercise activity: (0 - 3 points), - Correctly completed homework: (0 - 4 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 / METALLURGY AND / PHYSICAL CHEMISTRY AND ELECTROCHEMISTRY

Course:

PHYSICAL CHEMISTRY AND ELECTROCHEMISTRY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2988	Obavezan	2	6	3+1+1

Programs	METALLURGY AND
Prerequisites
Aims	Getting to know the aggregate states of matter, as well as the application of thermodynamic laws on the physical-chemical processes. Interpretation of colligative properties of solutions and properties of electrolytes.
Learning outcomes	At the end of this course, the student will be able to: - defines the basic laws of the ideal and real gas state, - reproduces basic theoretical concepts and models about the physico-chemical properties of matter in solid and liquid aggregate state, -applies thermodynamic laws to physical-chemical processes, - analyzes the properties of dilute solutions, as well as the balance of single and multi-component and multi-phase systems, --calculates the equilibrium constants of chemical reactions in homogeneous and heterogeneous systems, - distinguishes methods and techniques used in the research of kinetics and mechanisms of chemical reactions, - explains the basic laws of the interaction of chemical systems and electric current, - applies electrochemical laws to solve the various analytical and physical-chemical problems.
Lecturer / Teaching assistant	Prof. Dr. Ivana Bošković, Prof. Dr. Veselinka Grudić, Dr. Jana Mišurović
Methodology	Lectures, exercises (laboratory and computational), independent preparation of homeworks. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Students will get to know with classes, homework, colloquiums, final exam, distribution of information for students and work plan.
I week exercises	Computational exercises.
II week lectures	The aggregate states. Ideal gas state and gas laws.
II week exercises	Computational exercises.
III week lectures	Solid aggregate state of matter.
III week exercises	Computational exercises.
IV week lectures	Diffusion. The first and the second law of diffusion.
IV week exercises	Computational exercises.
V week lectures	Liquid aggregate state. The viscosity of the liquid.
V week exercises	Experimental exercise: Verification of Gay-Lisaks law
VI week lectures	Application of the first law of thermodynamics. Thermochemistry.
VI week exercises	Experimental exercise: Determination of the viscosity coefficient of a liquid using the Ostwalds method.
VII week lectures	Application of the second law of thermodynamics to physical-chemical systems.
VII week exercises	Experimental exercise: Determining the surface tension of a liquid. I test.
VIII week lectures	Chemical equilibrium and phase equilibrium.
VIII week exercises	Experimental exercise: Determining the dependence of the vapor pressure of an easily volatile liquid on temperature. Correctional I test.
IX week lectures	The properties of dilute solutions.
IX week exercises	Experimental exercise: Determination of integral change enthalpy of dissolution of solid substances.
X week lectures	Adsorption.
X week exercises	Experimental exercise: Determination of the Freundlichs adsorption isotherm of acetic acid on activated carbon.
XI week lectures	Chemical kinetics and catalysis.
XI week exercises	Experimental exercise: Preparation of colloidal systems.
XII week lectures	Electrolyte solutions. Faradays laws. Equilibrium and nonequilibrium processes in electrolytes.
XII week exercises	Experimental exercise: Determining the rate constant of sucrose inversion reaction.
XIII week lectures	Galvanic couplings. Thermodynamics. Types of electrodes and couplings.
XIII week exercises	Experimental exercise: Determination the rate law o of iodide ions oxidation by persulfate ions. II test.
XIV week lectures	Non-equilibrium electrode processes. Overvoltage.
XIV week exercises	Experimental exercise: Copper coulometer. Correctional II test.
XV week lectures	Corrosion processes.
XV week exercises	Presentation of reports of the laboratory exercises.

Student workload	Weekly: 6 credits x 40/30 = 8 hours In the semester: 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 and all laboratory exercises. If a student takes a retake exam, the regular exam is canceled.
Consultations	Tuesday: 9-11 a.m. Friday: 9-11 a.m
Literature	(1) S. Djordjevic, Fizicka hemija, TMF, Beograd, 1987. (2) I.Holclajtner-Antunovic, Opsti kurs fizicke hemije, Beograd, 2000. (3) Grupa autora, Zbirka zadataka TMF, Beograd, 1985. (4) Grupa autora, eksperimentalna fizicka hemija TMF, Beograd, 1981. (5) D.Šepa, Osnovi hemijske kinetike, Beograd, 2001.
Examination methods	- Activity during the lecture: (0 - 3 points), - Activity in exercises and submitted reports: (0 - 4 points), - Correctly completed homework: (0 - 3 points), - I colloquium: (0 - 20 points), - II colloquium: (0 - 20 points), - Final exam: (0 - 50 points).
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 / METALLURGY AND / MECHANICAL BEHAVIOUR OF MATERIALS

Course:

MECHANICAL BEHAVIOUR OF MATERIALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2989	Obavezan	3	7	3+1+1

Programs	METALLURGY AND
Prerequisites	None.
Aims	The course provides a conceptual framework for understanding the mechanical behavior of engineering materials under conditions of elastic/plastic deformation and fracture occurrence, along with identifying relevant material properties and analyzing their role in material design and their processing/exploitation.
Learning outcomes	Understanding the conceptual framework of the mechanical behavior of engineering materials (metal, ceramics, polymer, glass, composite) under load conditions (during elastic deformation, plastic flow and fracture) and identifying the properties that characterize the materials behavior under conditions of elasticity, plasticity, fracture, fatigue, creep. Knowledge of the role of mechanical properties in component design, application of stress-strain analysis and material damage criteria. Understanding/applying the basics of design and material selection in relation to the mechanical behavior of materials.
Lecturer / Teaching assistant	prof. dr Kemal Delijić
Methodology	Lectures, calculation and laboratory exercises, independent solving of practical tasks, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction; Functional classification of materials. Material strength vs. type of material.
I week exercises	Basics of material strength, elasticity and plasticity, ductile/brittle behavior.
II week lectures	Concept and types of stress and strain.
II week exercises	Examples related to elastic and plastic deformation. Description of the stress state.
III week lectures	Elasticity and viscoelasticity; elastic properties of polycrystals, metals, ceramics, polymers; Poissons ratio; modulus of elasticity; constitutive equations for the elastic state.
III week exercises	Examples related to principal normal and shear stresses; Mohr circles; stress tensor.
IV week lectures	Plasticity and plastic deformation. Plastic behavior of materials. The Bauschinger effect. Schemes of stress and deformation states.
IV week exercises	Examples related to plastic deformation and plastic behavior of materials.
V week lectures	Thermoelastic, plastic and viscoelastic state. Special forms of stress states. The influence of stress and deformation scheme on mechanical behavior. Yield criteria.
V week exercises	Examples - constitutive equations - elastic state - isotropic material.
VI week lectures	Failure criteria for brittle and ductile metallic materials, polymers, composites and other anisotropic materials. Colloquium/Test
VI week exercises	Examples - constitutive equations: plasticity conditions; thermoelastic and viscoelastic state.
VII week lectures	Yield criteria, allowable stresses, elastic-plastic analysis.
VII week exercises	Examples for yield criteria and allowable stresses. Corrective Colloquium/Test
VIII week lectures	Fatigue of materials and influencing factors on the fatigue behavior of materials.
VIII week exercises	Examples related to material fatigue.
IX week lectures	Mechanisms of material creep. Superplasticity and influencing factors on creep and superplasticity.
IX week exercises	Determining the maximum static creep stress, predicting the creep speed of the material.
X week lectures	Fracture and fracture types. Fracture mechanics. Critical stress intensity factor. Catastrophic fracture and prevention. The influence of the corrosive environment on the mechanical behavior of materials.
X week exercises	Examples of calculating stress intensity factor, crack length,...
XI week lectures	Mechanical behavior of ceramics and glass: elasticity, flexural strength, creep, fracture and fractography, relationships between processing/mechanical properties/performance, influence of corrosive environment on mechanical behavior.
XI week exercises	Examples related to the mechanical behavior of ceramics and glasses. Colloquium/Test
XII week lectures	Mechanical behavior of polymers: macroscopic, viscoelastic deformation/creep, stress relaxation, strength, fatigue, deformation and strengthening mechanisms. The influence of the corrosive environment on the mechanical behavior of polymers.
XII week exercises	Examples related to the mechanical behavior of polymers. Corrective Colloquium/Test.
XIII week lectures	Mechanical behavior of composite materials: strength, critical length/orientation/concentration of reinforcing fibers, discontinuously reinforced composites, Loading of one-dimensional fiber composite in longitudinal and transverse direction. Loading of uniformly dispersed aggregate composite. Interfacial strength.
XIII week exercises	Examples related to the mechanical behavior of composite materials.
XIV week lectures	Principles of design and material selection in relation to mechanical behavior: Influential factors in material selection. Criteria for material selection.
XIV week exercises	Examples related to influential factors in material selection. Preparation for the final exam.
XV week lectures	Principles of design and selection of materials in relation to mechanical behavior: Material maps. Material efficiency index. Errors in material selection and property criteria used for selection according to the type-of-load/stress/exploitation temperature.
XV week exercises	Examples related to influential factors in the selection of materials and the use of maps. Preparation for the final exam.

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	Attending classes/exercises, making assignments and colloquiums.
Consultations	In accordance with the schedule/needs.
Literature	Mechanical Behaviour of Engineering Materials: Metals, Ceramics, Polymers, and Composites, Rösler J., Springer, (2007), ISBN 978-3-540-73446-8 Mechanical Behavior of Materials, Meyers M. Cambridge University Press (2009), Mechanical Behavior of Materials, Hosford,W. Cambridge University Press (2005) , ISBN, 978-0-521-84670-7 Mechanical Behavior of Materials, Dowling N, Pearson Education Limited England,(2013) The Science and Engineering of Materials, Sixth Edition, Askeland D., Cengage Learning, Inc. Materials Science and Engineering. Callister W, John Wiley & Sons, Inc. ISBN 978-0-470-41997-7, 2010
Examination methods	Activity in lectures up to 5 points Exercise activity up to 5 points Two colloquiums of 20 points each - up to 40 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 / METALLURGY AND / STRUCTURE OF MATERIALS

Course:

STRUCTURE OF MATERIALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2990	Obavezan	3	7	3+0+3

Programs	METALLURGY AND
Prerequisites	No prerequisites
Aims	The course aims to introduce the students to metallic materials crystal structure and microstructure. Training students to interpret equilibrium state phase diagrams and implement microstructure examination of metallic materials using optical microscopy, enabling students to explain the influence of microstructure on the mechanical properties of metallic materials.
Learning outcomes	After successful completion of this course, the student will be able to explain the atomic, crystalline and real structure of metallic materials; describe the process of primary and secondary crystallization of alloys, the process of creation and growth of crystals; define the concept of subcooling; apply the phase rule; interpret characteristic equilibrium binary alloy phase diagrams and ternary alloy phase diagrams; predict the microstructure of metallic materials based on the knowledge of the state phase diagram and the applied thermomechanical regime; explain the properties of steel, iron, aluminium alloys, copper alloys, nickel alloys and zinc alloys; recognizes the characteristic microstructures of metal materials.
Lecturer / Teaching assistant	Prof. dr Vanja Asanovic
Methodology	Lectures, exercises. Homework assignments. Quizzes. Essay, consultation.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Levels of structure. Fundamentals of crystallography - the structure of atoms, crystal systems, crystallographic labelling, the real structure of metals.
I week exercises	Crystallography. Homework 1: Crystallography.
II week lectures	Composition of alloys - concept of alloy, mechanical mixtures of phases, solid solutions, chemical compounds, intermediate phases.
II week exercises	Using the optical microscope. Submission of homework 1.
III week lectures	Equilibrium binary alloy phase diagrams - phase rule, lever law, types of state diagrams, characteristic reactions.
III week exercises	Mechanical sample preparation and microstructure revealing. Quiz 1: Composition of alloys.
IV week lectures	Metal crystallization - energy conditions and mechanism of the crystallization process, cast metal structure, and transformations in the solid state.
IV week exercises	Cooling curve. Binary alloy phase diagrams. Homework 2: Binary alloy phase diagrams (part I).
V week lectures	Ternary alloy phase diagrams - graphical presentation, determination of the composition and amount of phases.
V week exercises	Ternary alloy phase diagrams (part I). Homework 3: Binary alloy phase diagrams (part II).
VI week lectures	Ternary alloy phase diagrams - crystallization and structure of ternary alloys, horizontal and vertical sections.
VI week exercises	Midterm exam 1. Quiz 2: Binary alloy phase diagrams. Submission of homework 2-3.
VII week lectures	Phase diagram of Fe - Fe3C. Phases, primary and secondary crystallization, structures.
VII week exercises	Ternary alloy phase diagrams (Part I). Equilibrium structures of carbon steels. Homework 4: Ternary alloy phase diagrams.
VIII week lectures	Carbon steels. The influence of carbon on the structure and properties, the influence of permanent impurities, and the non-equilibrium structure of carbon steels.
VIII week exercises	Determination of grain size. Make-up midterm exam 1. Quiz 3: Ternary alloy phase diagrams.
IX week lectures	Alloy steels. Influence of alloying elements on phase transformations. Arrangement of alloying elements. Classification of alloy steels. Steel grades.
IX week exercises	Non-equilibrium structures of carbon steels. Alloy steel structures. Submission of homework 4. Consideration of essay topics.
X week lectures	Iron - types, structure and properties. Magnesium alloys - state diagrams, structures, properties, application.
X week exercises	Determination of graphite lamellae and non-metallic inclusions. Homework 5: Phase diagram of Fe - Fe3C.
XI week lectures	Aluminium alloys - Classification, state diagrams, structures, properties, application.
XI week exercises	Midterm exam 2. Quiz 4: Phase diagram of Fe - Fe3C.
XII week lectures	Copper alloys - state diagrams, structure, properties, application.
XII week exercises	The structure of iron. Structure of aluminium alloys. Submission of homework 5.
XIII week lectures	Nickel alloys - characteristics, structures, properties, application. Zinc alloys - characteristics, structures, properties, application.
XIII week exercises	Make-up midterm exam 2.
XIV week lectures	Lead and tin alloys.
XIV week exercises	Essay presentation. Structure of copper alloys. Quiz 5: Aluminum alloys and copper alloys.
XV week lectures	Preparation for final exam.
XV week exercises	Solving the selected problems.

Student workload	Per week: 7 credits x 40/30 hours = 9 hours and 20 minutes Total workload for the course: 7 x 30 = 210 hours
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 3 sat(a) practical classes 0 excercises 3 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	Students are required to attend classes, do their homework, submit essay and take the midterm exams.
Consultations	Monday and Wednesday, 11:00 - 13:00.
Literature	R. Kontić, Ž. Blečić, Metalografija, Unireks, Podgorica, 1993. Z. Cvijović, Struktura metalnih materijala, TMF, Beograd, 2020. H. Šuman, Metalografija, TMF, Beograd, 1981. D. R. Askeland, W. J. Wright, The Science and Engineering of Materials, Cengage Learning, Boston, 2016.
Examination methods	Homework- total 5 (1 point per homework, total 5 points); Active student participation in the classroom (total 5 points); Essay (5 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 / METALLURGY AND / PHASE TRANSFORMATION HEAT TECHNOLOGY

Course:

PHASE TRANSFORMATION HEAT TECHNOLOGY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
3075	Obavezan	4	6	3+2+0

Programs	METALLURGY AND
Prerequisites	No prerequisites
Aims	The aim of this course is to introduce students to the atomistic, thermodynamic, crystallographic and kinetic aspects of phase transformations. To prepare students for interpretation of the TTT diagrams and Continuous Cooling Diagrams.
Learning outcomes	After successful completion of this course, student will be able to: Present thermodynamic aspects of phase transformations; Demonstrate a knowledge of atomistic and crystallographic aspects of phase transformations; Analyze the diffusional process in solids and the migration of interfaces; Apply Fick’s first and second law for diffusion in binary systems, solve the equation for various diffusional practical systems and for different types of diffusion determine the diffusional coefficient; Classify the phase transformations; Explain liquid-to solid phase transformations; Explain differences between homogeneous and heterogeneous nucleation in the liquid state and describe the growth of a pure solids and shape of solids; Describe the phase transformations in solids; Explain mechanisms of diffusional and diffusionless transformations; Understand the role of phase transformations on the controlling microstructure and properties in alloys; Explain the inter-relationship between processing, microstructure and properties of metallic materials.
Lecturer / Teaching assistant	Prof. dr Vanja Asanović
Methodology	Lectures, exercises, homework assignments, quizzes, essay, consultation.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Classification of Transformations. Thermodynamic Aspects of Phase Transformations. Equilibrium. Statistical Models. Single Component Systems. Binary Systems. Ideal Solutions. Chemical Potential. Regular Solutions. Activity.
I week exercises	Phase Diagrams.
II week lectures	Real Solutions. Ordered Phases. Intermediate Phases. Equilibrium in Heterogeneous Systems. Binary Phase Diagrams. The Influence of Interfaces on Equilibrium. Gibbs-Duhem equation.
II week exercises	Thermodynamics (Problem Solving). Homework 1: Thermodynamics and Phase Diagrams.
III week lectures	Diffusion. Atomic Mechanism of Diffusion. Interstitial Diffusion. Substitutional Diffusion. Self-Diffusion. Vacancy Diffusion. Diffusion in Substitutional Alloys. Darken’s equations. Kirkendall effect. Atomic mobility. High-Diffusivity Paths.
III week exercises	Diffusion (Problem Solving). Quiz 1: Thermodynamic aspects of phase transformations. Homework 2: Diffusion. Submission of Homework 1.
IV week lectures	Crystal Interfaces. Interfacial Free Energy. Solid/Vapour Interfaces. Boundaries in Single-Phase Solids. Interphase Interfaces in Solids. Interface Coherence.
IV week exercises	Crystal systems. Plains and directions in the unit cell. (Problem Solving) Quiz 2: Diffusion. Submission of Homework 2.
V week lectures	Second-Phase Shape. Coherency Loss. Glissile Interfaces and Non-glissile Interfaces. Interface Migration.
V week exercises	Crystal Interfaces. Homework 3: Crystal Interfaces.
VI week lectures	Liquid-to Solid Phase Transformations. Homogeneous and Heterogeneous Nucleation. Growth of a Pure Solid. Interface Instability and Dendritic Growth.
VI week exercises	Midterm exam 1. Quiz 3: Crystal Interfaces. Submission of Homework 3.
VII week lectures	Alloy Solidification.
VII week exercises	Liquid-to Solid Phase Transformations (Problem Solving). Homework 4: Liquid-to Solid Phase Transformations.
VIII week lectures	Diffusional Transformations in Solids. Homogeneous and Heterogeneous Nucleation in Solids. Rate of Nucleation. Precipitate Growth.
VIII week exercises	Make-up Midterm exam 1. Quiz 4: Liquid-to Solid Phase Transformations. Submission of Homework 4.
IX week lectures	Kinetics of Precipitation. Continuous and discontinuous precipitation reactions. Age Hardening. Spinodal Decomposition.
IX week exercises	Diffusional Transformations in Solids (Problem Solving). Consideration of essay topics.
X week lectures	Particle Coarsening. The Precipitation of Ferrite from Austenite. Cellular Precipitation. Eutectoid Transformation.
X week exercises	Diffusional Transformations in Solids (Problem Solving). Homework 5: Phase Transformations in Solids.
XI week lectures	The Bainite Transformation. Massive Transformation. Ordering Transformations. Characteristics of Diffusionless Transformations.
XI week exercises	Midterm exam 2. Submission of Homework 5.
XII week lectures	Martensite Crystallography. Theory of Martensite Nucleation. Martensite Growth. The Kinetics of Martensite Transformations. Tempering of Martensites.
XII week exercises	Case Studies.
XIII week lectures	Thermoelastic Martensitic Transformation. Shape memory effect.
XIII week exercises	Make-up Midterm exam 2. Quiz 5: Phase Transformations in Solids. Submission of Essay.
XIV week lectures	TTT diagrams and Continuous Cooling Diagrams. Phase Transformations in Non-Crystalline Systems.
XIV week exercises	Essay presentation.
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 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, do their homework, submit essay and take the midterm exams.
Consultations	Tuesday and Thursday, 11:00 - 13:00.
Literature	David A. Porter, Kenneth E. Easterling, and Mohamed Y. Sherif, Phase Transformation in Metals and Alloys, third edition, CRC Press, Taylor & Francis Group, Boca Raton, 2009.
Examination methods	Homework- total 5 (1 point per homework, total 5 points); Active student participation in the classroom (total 5 points); Essay (5 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 / METALLURGY AND / TESTING OF MATERIALS

Course:

TESTING OF MATERIALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
3076	Obavezan	4	6	3+0+2

Programs	METALLURGY AND
Prerequisites	None.
Aims	Training students to work on testing/characterizing mechanical properties of materials, as well as with NDT (non-destructive) methods for testing/detecting defects in materials.
Learning outcomes	The student will be able to understand the methods of mechanical testing of materials, the tendency of materials to fracture, methods of non-destructive testing, calculate the indicators of strength and plasticity of testing with the destruction of materials, know the methods and methodology of performing tests and formulate the conditions of performing tests.
Lecturer / Teaching assistant	prof. dr Kemal Delijić
Methodology	Lectures, laboratory exercises, independent solving of practical tasks, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Classification of mechanical tests of metal, polymer, ceramic and composite materials; Testing of materials by tension: test tubes, σ-ε diagrams, properties of strength and deformation during tension.
I week exercises	Introduction to working with a universal device for mechanical testing of materials by uniaxial loading, Tensile testing, part 1: performing tensile tests, determining tensile properties.
II week lectures	True tension curve, strain hardening, anisotropy factors; Instruments for measuring deformations; machines and devices.
II week exercises	Tensile testing, part 2: true tensile curves, determination of strain hardening index and anisotropy factor. Comparison of the tensile behavior of different materials, boundary conditions.
III week lectures	Compressive testing; strength and deformation properties; Shear testing;
III week exercises	Compression and shear testing and testing of samples of different materials.
IV week lectures	Hardness testing by static and dynamic force action; dependence of material strength and hardness; hardness testing devices.
IV week exercises	Working with devices for measuring hardness and testing materials using static and dynamic methods.
V week lectures	Bending and torsion testing: strength and deformation properties during bending and torsion.
V week exercises	Work with bending and torsion testing device; examination of different materials, fracture appearance.
VI week lectures	Fatigue tests: dynamic strength, test method, Veller diagram, dynamic endurance diagrams. Fracture due to fatigue. Factors affecting dynamic strength.
VI week exercises	Examples from the field of fatigue testing, fracture appearance.
VII week lectures	Tests with impact loads - testing of toughness by bending and tension, tough and brittle fracture - tendency to brittle fracture; critical ductile-brittle transition temperature.
VII week exercises	Working with the impact testing device - determining the toughness of the material. I Colloquium/Test
VIII week lectures	Fracture: critical stress intensity factor, defects in the material that lead to fractures; examination of tendency to brittle fracture in corrosive aggressive environments.
VIII week exercises	Corrective Colloquium/Test
IX week lectures	Testing properties at elevated and reduced temperatures. Permanent static tests. Determination of deformations at constant load and temperature. Creep testing; Stress relaxation.
IX week exercises	Analysis of material properties at elevated and reduced temperatures; Crawling; Stress relaxation.
X week lectures	Tests of the ability to shape massive pieces and sheets ("bulk workability").; Wear.
X week exercises	Examples related to testing the ability to shape massive pieces and sheets.
XI week lectures	Non-destructive material testing (NDT): registration of defects in metals/materials; visual control; penetrant testing, advantages and disadvantages, standards and methods.
XI week exercises	Laboratory exercises - work with tools for testing porosity with penetrants.
XII week lectures	Magnetic flux tests; testing equipment and fault character. Electromagnetic methods, principles (eddy currents), instruments, measurement of coating and layer thicknesses.
XII week exercises	Colloquium/Test
XIII week lectures	Ultrasonic tests (defectoscopy, thickness). Thermography - determining the size of the defect.
XIII week exercises	Working with equipment for ultrasonic tests, ultrasonic tests (defectoscopy, thickness).
XIV week lectures	Radiographic control; Principles and techniques of testing; Application of NDT in the examination of welded joints.
XIV week exercises	Corrective Colloquium/Test
XV week lectures	Technological tests of finished products, sheets, pipes, wires, ropes.
XV week exercises	Technological tests (Bulge test, Cup test, Eriksen test...); Exam preparation.

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 0 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	Attending classes, working on laboratory exercises and related reports, colloquiums.
Consultations	According to schedule.
Literature	Mechanical Testing and Evaluation, ASM International Vol 08 -(2000), Fractography, ASM International - Vol 12 - (2000) Nondestructive Evaluation; ASM Int nternational - Vol 17; (2000) Fatigue And Fracture, ASM International Vol 19 Materials Science and Engineering. Callister W, Wiley & Sons, Inc.( 2010); Ispitivanje metalnih materijala I i II, Oruc M. (2012), Ispitivanje metala, Terzić P. (1985)
Examination methods	Activity during the lecture: 0-5 points Activity during exercises and submitted reports: 0-5 points Two colloquiums of 20 points each: 0-40 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 / METALLURGY AND / PROCESSES OF EXTRACTIVE METALLURGY

Course:

PROCESSES OF EXTRACTIVE METALLURGY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
3473	Obavezan	4	6	3+2+0

Programs	METALLURGY AND
Prerequisites	No prerequisites
Aims	For the student to acquire basic knowledge of metallurgical processes, a science that studies the theoretical aspects of metals processing, in order to master the technological aspects of metals processing more easily in the further coursees of studies.
Learning outcomes	After passing the exam, the student will be able to: • Explain thermodynamics, mechanism and kinetics of dissociation and formation of chemical compounds; • Knows the process of reduction of pure oxides and reduction of oxides from solution using gaseous and solid reductants; • Defines processes in the metal-sulfur-oxygen system; • Defines the functions, structure and properties of slag, as well as its role in metallurgical processes, • Interprets the basics of thermodynamics and reaction kinetics in the metal-slag-gas system; • Knows the basic hydrometallurgical processes (dissolution, purification of the solution and extraction of useful components from the solution).
Lecturer / Teaching assistant	Prof. Irena Nikolić, PhD
Methodology	Lectures, calculation and experimental exercises, midterm exams, final exam.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Thermodynamics of the process of formation and dissociation of chemical compounds
I week exercises	Calculation exercises in the field od thermodynamics of the process of formation and dissociation of chemical compounds
II week lectures	Kinetics and thermodynamics of mechanisma of dissociation and formation of chemical compounds
II week exercises	Calculation exercises in the field of kinetics of dissociation of chemical compounds and oxidation of metals
III week lectures	Thermodynamics of oxide reduction process using a gas phase. Reactions in the C-O system.
III week exercises	Calculation exercises in the field of thermodynamics of oxide reduction process using a gas phase.
IV week lectures	Reduction of oxides with carbon. Oxide reduction from solution. Reduction of iron oxides.
IV week exercises	Calculations excercises in the field of reduction of oxides with a solid reductant and metallothermy.
V week lectures	Mechanism and kinetics of the oxide reduction process.
V week exercises	Calculation exercises in the field of kinetics of oxide reduction processes.
VI week lectures	First midterm exam
VI week exercises	Correctional first midterm exam.
VII week lectures	Processes in the Me-S-O system. Metallurgical slag. Function and structure of slags.
VII week exercises	Calculation exercises in the field of thermodynamics and reaction kinetics in the Me-S-O system.
VIII week lectures	Properties of slag. Activity of components in the slag. Equilibrium state diagrams.
VIII week exercises	Determination of activity of slag components.
IX week lectures	Reactions in the metal-slag-gas system. Reactions with gases in a melts. Oxidation of carbon and impurities.
IX week exercises	Calculation exercises in the field of metal degassing.
X week lectures	Desulfurization of steel. Deoxidation of metals.
X week exercises	Calculation exercises in the field of metals desulfurization and deoxidation
XI week lectures	Hydrometallurgical processes. Thermodynamics and kinetics of the leaching process.
XI week exercises	Leaching, experimental exercise
XII week lectures	The basics of the process of enrichment and purification of solutions
XII week exercises	Precipitation of compounds, experimental exercise
XIII week lectures	Processes of metal compounds extraction and extraction of metals from aqueous solutions.
XIII week exercises	Cementation of metals, experimental exercise
XIV week lectures	Second midterm exam
XIV week exercises	Correctional second midterm exam.
XV week lectures	Preparation for the final exam
XV week exercises	Preparation for the final exam

Student workload	Weekly: 6 ECTS x 40/30 hours = 8 hours Total workload for the semester = 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, do exercises and do both midterm exams
Consultations	Working days 12-13 h. .
Literature	D. Blečić: Teorija metalurških procesa(II i III dio), Unireks Nikšiđ 1994; L. Coudurier: Fundamentals of metallurgical processes , Pergamon Press, New York 1978. S.I. Popel: Teorija metalurgičesih procesov, Metalurgija, Moskva 1986 Ž. Živković: Zbirka zadataka iz teorije metalurških procesa ( I i II dio)TF Bor, 1994 i 2001
Examination methods	- active participation in classes (including homework) - 10 points - 2 cmidterm exams of 20 points each (40 points in total) - final exam - 50 points A passing grade is obtained if, in total, 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 / METALLURGY AND / NONFERROUS METALLURGY

Course:

NONFERROUS METALLURGY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
3476	Obavezan	6	7	3+2+0

Programs	METALLURGY AND
Prerequisites	No mutual dependence
Aims	Gaining the knowledge on alumina production, theory of precipitation from saturated solutions, electrolytical production of Al, Metallurgy of Cu, Pb, Zn
Learning outcomes	After the completion of this course , student should: 1. Be capable to locate non-ferrous metals according to the characteristics, application, and raw ores 2. Know in details the theoretical basis of hydrometallurgical and pyrometallurgical processes 3. Be capable to identify the technological problems based on gained knowledge 4. Independently estimate the efficiency of bayer process 5. Independently analyze the relevant factors on the process of aluminum electrolysis 6. Calculate the rational composition of Cu concentrate, material balance during roasting, problems related to the Cu concentrates melting,convertor process, rafination processes of Cu concentrates 7. Independently calculates within the technological processes of Pb and Zn production
Lecturer / Teaching assistant	Prof. dr Mira Vukčević
Methodology	lectures, calculation exercises, on site visits

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Ores, Oxides and hydroxides of Al, the nature of aluminate solutions,
I week exercises	analysis of the Na2O-Al2O3-H2O system
II week lectures	Processes for alumina production, raw materials, characteristics
II week exercises	Equilibrium within the Na2O-Al2O3-H2O system
III week lectures	Bayer process for alumina production
III week exercises	Basic elements of technological calculations in alumina production, caustic modul, concentration stirring of the solution, crystallization number
IV week lectures	bayer process for alumina production
IV week exercises	calculation on technological operation within Bayer process
V week lectures	Combined processes for alumina production
V week exercises	calculation with the operation of leaching
VI week lectures	Theoretical fundaments of electrolysis of cryolite-alumina melt
VI week exercises	Calculation within the process of red mud washing
VII week lectures	1.st Colloquium
VII week exercises	! st. on site visit to KAP
VIII week lectures	Process of Al electrolysis, characteristics of electrolyte, production of anodes
VIII week exercises	Electrochemical calculations, fundamentals and terminology
IX week lectures	Electrolysers-regular function and problems, anodic effect, electrolytical rafination of aluminum
IX week exercises	Calculation on el. current utilization in the serie of electrolysers
X week lectures	Electrolytical rafination of aluminum
X week exercises	Calculation of the number of electrolysers
XI week lectures	Metallurgy of Cu: roasting, melting, convertoring, firing rafination
XI week exercises	Technological calculations in copper production: concentrate composition, roasting, melting, convertoring
XII week lectures	Metallurgy of lead- roasting, melting, rafination
XII week exercises	Technological calculation in Pb production: roasting, melting
XIII week lectures	Metallurgy of zinc
XIII week exercises	Calculation in hydrometallurgical process of zinc production
XIV week lectures	Elements of metallurgy of Nickel
XIV week exercises	calculations in nickel metallurgy
XV week lectures	2nd Colloquium
XV week exercises	On site visits, 2nd corrective colloquium

Student workload
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 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	lectures, calculation exercises, on site visits, two colloquia
Consultations	On Tuesdays and Fridays from 11 a.m
Literature	R.Vračar, Ž.Živković, Ekstraktivna metalurgija aluminijuma, Naučna knjiga, 1998, drugo izdanje 2. M.Vukčević, autorizovana predavanja 2010
Examination methods	Activity during the lectures and exercises( 0-10 points) Colloquium (0-20 points) Final exam (0-50 points)
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 / METALLURGY AND / ENGLISH LANGUAGE I

Course:

ENGLISH LANGUAGE I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5133	Obavezan	1	3	2+2+0

Programs	METALLURGY AND
Prerequisites	There are no prerequisites linked to other subjects. Knowledge of general English at least at the B1.2 level is desirable.
Aims	Mastery of grammatical and linguistic structures at the B2.1 level (upper-intermediate level) and active use of the language in everyday situations.
Learning outcomes	After completing this course, students will be able to: 1) Master language skills (reading, listening, speaking, writing) at the B2.1 level; 2) Use English grammar at the B2.1 level; 3) Prepare and deliver a presentation in English on covered/familiar thematic areas; 4) Express themselves orally in general English without major difficulties; 5) Integrate their foreign language knowledge and understanding of cultures in countries where it is spoken as a native language.
Lecturer / Teaching assistant	Igor Ivanović i Savo Kostić
Methodology	Introduction to appropriate language content, with maximum student participation in various types of written and oral exercises (individually, in pairs, in groups, projects, discussions).

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Home and away, the tense system/A life of learning: Listening/Speaking/Reading/Writing (Student’s book)
I week exercises	Home and away, the tense system (Workbook)
II week lectures	Compound words, Saroo’s story/ Verb tenses, verb patterns (Student’s book)
II week exercises	Compound words, Saroo’s story (Workbook)
III week lectures	Been there, got the T-shirt, Present Perfect simple and Continuous/ Time for a change: LSRW activities (Student’s book)
III week exercises	Been there, got the T-shirt, Present Perfect Simple and Continuous (Workbook)
IV week lectures	Hot verbs – make and do, our plastic planet/ Present, past habits/be used to, get used to; Word formation-suffixes (Student’s book)
IV week exercises	Hot verbs – make and do, our plastic planet (Workbook)
V week lectures	News and views, narrative tenses, spoken English/ It’s against the law: LSRW activities (Student’s book)
V week exercises	News and views, narrative tenses, spoken English (Workbook)
VI week lectures	Books and films, book at bedtime/ second conditional; third conditional; verbs and prepositions (Student’s book)
VI week exercises	Books and films, book at bedtime (Workbook)
VII week lectures	The First Mid-term Test
VII week exercises	The First Mid-term Test
VIII week lectures	The naked truth/Telling stories: LSRW activities (Student’s book)
VIII week exercises	The naked truth (Workbook)
IX week lectures	Questions and negatives, saying the opposite/ past verb forms; defining, non-defining, reducedrelative clauses (Student’s book)
IX week exercises	Questions and negatives, saying the opposite (Workbook)
X week lectures	Looking ahead, future forms/ Nature’s best: LSRW activities (Student’s book)
X week exercises	Looking ahead, future forms (Workbook)
XI week lectures	Hot verbs - take put, inspirational teenagers/ ways of comparing; future verb forms, adjectives for giving opinions (Student’s book)
XI week exercises	Hot verbs - take put, inspirational teenagers/ ways of comparing; future verb forms, adjectives for giving opinions (Workbook)
XII week lectures	Hitting the big time, expression of quantity/ Breaking codes: LSRW activities (Student’s book)
XII week exercises	Hitting the big time, expression of quantity (Workbook)
XIII week lectures	Words with variable stress, two famous brands/ modal verbs; uses of verb+ing; phrases with take (Student’s book)
XIII week exercises	Words with variable stress, two famous brands (Workbook)
XIV week lectures	General overview and preparation for the final exam
XIV week exercises	General overview and preparation for the final exam
XV week lectures	The Second Mid-term Test
XV week exercises	The Second Mid-term Test

Student workload
Per week	Per semester
3 credits x 40/30=4 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 0 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 0 minuts x 16 =64 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 0 minuts x 2 =8 hour(s) i 0 minuts Total workload for the subject: 3 x 30=90 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) 18 hour(s) i 0 minuts Workload structure: 64 hour(s) i 0 minuts (cources), 8 hour(s) i 0 minuts (preparation), 18 hour(s) i 0 minuts (additional work)
Student obligations	Attendance of classes, completion of midterms and final exam, participation in activities (homework, presentations, oral projects, discussions, etc.).
Consultations	In agreement with the instructors.
Literature	John and Liz Soars: Headway Upper-Intermediate, Fourth Edition, (Units 1 – 6), OUP
Examination methods	1. Midterm - 50 points 2. Midterm - 50 points. A passing grade is achieved if a total of at least 50 points is collected.
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 / METALLURGY AND / INSTRUMENTAL METHODS

Course:

INSTRUMENTAL METHODS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
8286	Obavezan	3	5	2+0+3

Programs	METALLURGY AND
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
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 3 sat(a) practical classes 0 excercises 1 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
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 / METALLURGY AND / ENGLISH LANGUAGE II

Course:

ENGLISH LANGUAGE II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
8676	Obavezan	2	3	2+2+0

Programs	METALLURGY AND
Prerequisites	-
Aims	Reaching B 2.2 level - using grammar correctly and confidently, interacting with fluency and producing clear, detailed text on a wide range of subjects
Learning outcomes	By the end of the course, students will have 1) improved their language skills (speaking, listening, writing, and reading); 2) improved their knowledge and understanding of English grammar; 3) improved their presentation skills in English; 4) gained confidence and fluency when communicating in English; 5) integrated their knowledge of English and Anglophone cultures.
Lecturer / Teaching assistant	Dr Jovana Djurcevic, Savo Kostic
Methodology	Various types of written and oral exercises, presentations, projects, discussions

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	30+30
Per week	Per semester
3 credits x 40/30=4 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 0 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 0 minuts x 16 =64 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 0 minuts x 2 =8 hour(s) i 0 minuts Total workload for the subject: 3 x 30=90 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) 18 hour(s) i 0 minuts Workload structure: 64 hour(s) i 0 minuts (cources), 8 hour(s) i 0 minuts (preparation), 18 hour(s) i 0 minuts (additional work)
Student obligations	Active participation, oral projects and presentations, midterm test, final exam
Consultations	jovanadj@ucg.ac.me, savo.k@ucg.ac.me
Literature	Chris Redston and Gillie Cunningham: Face2face Upper-Intermediate, CUP 2007 (Units 1 – 6), OUP (student’s book, workbook).
Examination methods	Participation and activitity – 5 points Oral presentation – 10 points Midterm test – 35 points Final exam – 50 points The minimum passing grade is 50%
Special remarks	All the classes are conducted in English
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 / METALLURGY AND / COMPUTING

Course:

COMPUTING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10303	Obavezan	1	4	2+2+0

Programs	METALLURGY AND
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
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 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) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 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 / METALLURGY AND / INTERNSHIP

Course:

INTERNSHIP/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10649	Obavezan	6	4	2+1+0

Programs	METALLURGY AND
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
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 2 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 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) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 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 / METALLURGY AND / TOPLOTEHNIČKI PROCESI

Course:

TOPLOTEHNIČKI PROCESI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10672	Obavezan	3	7	3+2+0

Programs	METALLURGY AND
Prerequisites	No prerequisites
Aims	Students should master the basic knowledge of thermal processes in metallurgical aggregates, to become familiar with the methods of studying fuel combustion processes, gas flow and heat transfer mechanisms in practical working conditions.
Learning outcomes	After passing the exam, the student will be able to: • Classifies fuels, explains their characteristics and preparation procedures. • Calculates the composition and calorific value of solid, liquid and gaseous fuels. • Calculates fuel combustion, determines the amount, composition, dew point and heat content of the product • Explain gas flow regimes in furnaces and calculate energy losses during gas flow. • Defines different conditions of heat transfer by convection, conduction and radiation. • Explain the regimes of warming the bodies.
Lecturer / Teaching assistant	Prof. Irena Nikolić, PhD
Methodology	Lectures, exercises, homework, consultations, midterm exams

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to thermal processes. Concept of temperature and heat. Thermal characteristics of fluids and solid substances.
I week exercises	Calculation of basic properties of different types of fuel.
II week lectures	Sources of heat energy. Types, composition and calorific value of fuel.
II week exercises	Calculation of the chemical composition of solid, liquid and gaseous fuels.
III week lectures	Enrichment and mixing of gaseous fuels. Characteristics of types of fuel
III week exercises	Calculation of the calorific value of solid, liquid and gaseous fuels
IV week lectures	Combustion theory. Chain reactions. Flame structure. Combustion of different types of fuel.
IV week exercises	Basic quantities in the calculation of fuel combustion process.
V week lectures	Basic quantities, combustion conditions, control and evaluation of the fuel combustion process.
V week exercises	Calculation of the combustion of solid and liquid fuels.
VI week lectures	Converting electricity into thermal energy. Flow of gases in furnaces
VI week exercises	Calculation of the combustion of gaseous fuels. Calculation of the chemical composition and temperature of the combustion products
VII week lectures	First midterm exam.
VII week exercises	Correctional first midterm exam.
VIII week lectures	Properties of fluids. Mechanics of an ideal fluid. Real fluid flow. Elements of flow theory.
VIII week exercises	Characteristics of furnace gases (calculation)
IX week lectures	Flow of gases in furnaces. Streaming modes. Velocity distribution. Pressure losses.
IX week exercises	Calculation of gas flow in different conditions. Flow modes.
X week lectures	Applications of the Bernoulli equation. Flow and thermal processes. Basics of heat transfer. Mechanisms of heat transfer. Internal and external heat flow. Convective heat transfer. Thermal boundary layer
X week exercises	Calculation of heat transfer in stationary conditions. Heat transfer by convection.
XI week lectures	Convection and flow. Heat conduction. Stationary and non-stationary conditions. Basic equations. Thermal conductivity coefficient. Heat transfer coefficients
XI week exercises	Second midterm exam
XII week lectures	Heat transfer by radiation. Laws of radiation. Radiation of gases. Heat exchange. Methods of studying thermal processes.
XII week exercises	Correctional second midterm exam. Calculation of heat transfer by conduction and radiation.
XIII week lectures	Heating and cooling of materials. Defining the basic parameters of the process.
XIII week exercises	Calculation of the process of heating and cooling of materials in non-stationary conditions.
XIV week lectures	Thin and massive body. Heat exchange. Heating regimes. Boundary conditions.
XIV week exercises	Calculation of heating of thin and massive bodies (thermal engineering term).
XV week lectures	Preparation for the final 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
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 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	Students are required to: attend classes, do homework and do both midterm exams
Consultations	Working days 10-11 am..
Literature	M. Lalović, M. Bešić, Toplotna tehnika u metalurgiji, autorizovana predavanja, MTF Podgorica, 2004. B. Đorđević, V. Valent, S. Šerbanović, Termodinamika i termotehnika, TMF Beograd, 2000. A. J. Chipman, Heat Transfer, Mcmillan publishing Company, New York 1984. (4th Edition) M. Lalović, B. Bešić, Toplotna tehnika u metalurgiji (Zbirka urađenih zadataka), Unireks, Podgorica, 1994.
Examination methods	Activity during the lecture: 0 - 3 points, Exercise activity and completed reports: 0 - 3 points, Accepted homework: 0 - 4 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 / METALLURGY AND / OSNOVI LIVARSTVA

Course:

OSNOVI LIVARSTVA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10673	Obavezan	5	6	3+2+0

Programs	METALLURGY AND
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 / METALLURGY AND / OSNOVI OBLIKOVANJA DEFORMACIJOM

Course:

OSNOVI OBLIKOVANJA DEFORMACIJOM/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10674	Obavezan	5	6	3+1+1

Programs	METALLURGY AND
Prerequisites	None.
Aims	Study of the behavior of metal materials under conditions of plastic deformation, methods for testing deformability and the basis of technological processes of deformation in the plastic state. Training for the analysis, elaboration and control of the process characteristics of the dominant technological processes of forming by deformation.
Learning outcomes	Training for defining: the conditions of plastic flow of materials, choosing a method for determining resistance to deformation depending on influencing factors, areas of material plasticity for stable and unstable flow during deformation processing. Training for the systematization of deformation processes and analysis depending on material characteristics, tool shape, contact conditions, kinematics and stress characteristics.
Lecturer / Teaching assistant	prof. dr Kemal Delijić; doc. 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	Introduction to shaping by deformation; Plastic deformation, Conditions of plastic flow.
I week exercises	Examples related to conditions of plastic deformation and conditions of plastic flow.
II week lectures	Strengthening mechanisms; resistance to deformation; consequences of plastic deformation.
II week exercises	Examples of the construction of the yield curve for cold deformation (1)
III week lectures	Cold and warm deformation. Dynamic processes. Flow curves.
III week exercises	Examples of the construction of the yield curve for cold deformation (2)
IV week lectures	Plasticity - influencing factors; Inhomogeneous deformation; Superplasticity.
IV week exercises	Examples of flow curve construction for hot deformation.
V week lectures	Deformation processing processes: classification, methods and quantitative indicators.
V week exercises	Work on examples: Indicators of plasticity. Analysis of deformation inhomogeneity.
VI week lectures	Stress and deformation states for material deformation shaping processes.
VI week exercises	Colloquium/Test
VII week lectures	Modeling of the deformation processing process. Residual stresses. Friction.
VII week exercises	Corrective Colloquium/Test
VIII week lectures	Methods of analysis of deformation processes: work balance, elementary theory, working stresses, forces, moments. Other methods of process analysis.
VIII week exercises	Example of friction coefficient calculation.
IX week lectures	Simulations of deformation processes. Elaboration of the method with examples.
IX week exercises	Example of simulation of deformation processes.
X week lectures	Basics of the rolling process (Part I).
X week exercises	Examples of calculation of rolling process parameters (Part I).
XI week lectures	Basics of the rolling process (Part II).
XI week exercises	Examples of calculation of rolling process parameters (Part II).
XII week lectures	Basics of extrusion and forging processes.
XII week exercises	Examples of calculation of extrusion and forging parameters. Colloquium/Test
XIII week lectures	Basics of drawing, deep drawing and bending processes.
XIII week exercises	Examples of calculation of extraction process parameters. Corrective Colloquium/Test
XIV week lectures	Special deformation processing methods (selected cases).
XIV week exercises	Presentation of seminar papers.
XV week lectures	Special deformation processing methods (selected cases).
XV week exercises	Presentation of seminar papers. Preparation for the final exam.

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	Attending classes/exercises, colloquiums, seminar work.
Consultations	According to schedule/need.
Literature	Metal Forming - Mechanics and Metallurgy, W. Hosford, Cambridge University Press, (2011), ISBN 978-1-107-00452-8 Mechanical Metallurgy, G.E. Dieter, McGraw Hill Book Company (1988), ISBN 0-07-100406-8 Mechanical Behaviour of Engineering Materials: Metals, Ceramics, Polymers, and Composites, Rösler J., Springer, (2007), ISBN 978-3-540-73446-8 Teorija prerada metala u plastičnom stanju, S. Blečić Mehanika i metalurgija deformacije metala, E. Romhanji, Univerzitet U Beogradu TMF (2001)
Examination methods	I colloquium up to 15 points II colloquium up to 15 points Seminar paper up to 8 points Exercise activity up to 12 points Final exam up to 50 points. A passing grade is obtained if 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 / METALLURGY AND / PROJEKTOVANJE I POSTROJENJA

Course:

PROJEKTOVANJE I POSTROJENJA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10675	Obavezan	5	6	3+2+0

Programs	METALLURGY AND
Prerequisites	There is no conditioning to other subjects.
Aims	Acquaintance with the procedure and content when creating project documentation. Mastering the methodology of preparing and creating a technological project. Acquaintance with schemes and equipment of technological processes. Mastering layout creation for industrial process technologies.
Learning outcomes	After passing this exam, students will be able to: 1. Describe the procedure, the stages of drafting and content of the project documentation. 2. Analyze and evaluate alternative solutions for product and production program in the preparation of project documentation. 3. Articulate the content and scope of technological projects and project assignments to create technological project. 4. Describe the facilities, lay-out, the spatial distribution of equipment and material movement to the extent necessary for the preparation of technological project. 5. Indicate the criteria and conditions for the supply of production systems with energy. 6. Connect the technological operations, equipment and technology for its schedule of production rolling, forging, pressing and dragging. 7. To work in a team and apply a methodology to check entrepreneurial ideas in the field of metallurgical process technologies.
Lecturer / Teaching assistant	Asst. Dr. Nebojša Tadić
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	Objectives, tasks, models, alternatives and system engineering in design (introductory lecture).
I week exercises	Examples of models and alternatives for preparation of solutions in design.
II week lectures	Building construction: definition of terms, technical documentation and legal prerequisites for construction.
II week exercises	Symbols for marking equipment and facilities of technological processes. Examples of drawings for project documentation.
III week lectures	Product, production program and documentation for product development. Creation and collection of project documentation for production systems: preliminary analysis, project assignment.
III week exercises	Examples for product presentation. Distribution of the first homework.
IV week lectures	Creation and collection of project documentation: location, production program, capacity and production indicators.
IV week exercises	Examples of the preparation of schemes and drawings for project documentation. Examples for the preparation of text documentation.
V week lectures	Technological project: documentation, design procedure, calculations, content of the project assignment.
V week exercises	An example of the preparation of a project assignment for a technological project.
VI week lectures	An example of preparing a production program. Connections of the production program with the technological process equipment. Basic calculations for technological projects.
VI week exercises	An example of preparing a production program. Connections of the production program with the technological process equipment. Basic calculations for technological projects. Distribution of the second homework.
VII week lectures	First midterm exam.
VII week exercises	An example of creating a layout for production departments.
VIII week lectures	Arrangement of equipment in the space. Movement and transport system.
VIII week exercises	Examples of the choice of means of transport. Makeup first midterm exam.
IX week lectures	Factory halls. Warehouses. Disposition plan.
IX week exercises	Examples of choosing the type of factory hall and warehouse.
X week lectures	Situational plan. Planning techniques.
X week exercises	Examples of using planning programs.
XI week lectures	Energy supply. Heating, ventilation and dust removal.
XI week exercises	Second midterm exam.
XII week lectures	Introduction to technological processes, equipment and layout in the process industry.
XII week exercises	Makeup second midterm exam.
XIII week lectures	Technological processes, equipment and layout: Selected cases (examples of preparation of solutions for the selected technological process - work in groups).
XIII week exercises	Technological processes, equipment and layout: Selected cases (examples of preparation of solutions for the selected technological process - work in groups).
XIV week lectures	Technological processes, equipment and layout: Selected cases (examples of preparation of solutions for the selected technological process - continuation of work by groups).
XIV week exercises	Technological processes, equipment and layout: Selected cases (examples of preparation of solutions for the selected technological process - continuation of work by groups).
XV week lectures	Delivery and presentation of student works.
XV week exercises	Delivery 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 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	The student is obliged to attend lectures and exercises, do and present independent assignments.
Consultations	Consultations are on days when there are lectures and exercises, and on other days by agreement with the students.
Literature	Projecting - prepared lectures; Đ. Zrnić, Designing factories – selected chapters; M. Heleta, D. Cvetković, Fundamentals of engineering and modern methods in engineering, Belgrade, 2009 - selected chapters; M. Čaušević, Metal processing by rolling - selected chapters; B. Musafia, Metal processing by plastic deformation - selected chapters; K. Lange, Textbook of forming technology - selected chapters.
Examination methods	Two colloquiums of 15 points each, a total of 30 points; Work during the semester and homework total 20 points; Final exam 50 points. Apassing 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 / METALLURGY AND / METALURGIJA ZAVARIVANJA

Course:

METALURGIJA ZAVARIVANJA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11517	Obavezan	6	6	2+2+0

Programs	METALLURGY AND
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 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
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 / METALLURGY AND / PROCESI RAFINACIJE

Course:

PROCESI RAFINACIJE/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11518	Obavezan	6	6	2+2+0

Programs	METALLURGY AND
Prerequisites	No mutual dependence
Aims	The aim is to gain the knowledge related to the production of the metals with minor percentage of impurities for the special application purposes as well as the knowledge related to the classification of impurities and application of different purification methods
Learning outcomes	after the completion of this course, student should: 1. Differentiate and classify the types of impurities, 2. Understand the term distribution coefficient and its values in the conditions of changeable crystallization velocity, 3. Be capable to select the right rafination methods as the function of impurities types well as exploitation conditions 4. Know in details the processes of chlorination and degassing as well as in-line degassing systems, 5. Know the theoretical fundamentals of electrolytic rafination and its application, 6. Apply the crystallisation methods for rafination: fractional crystallisation, zone melting, normal crystallization
Lecturer / Teaching assistant	Prof. dr Mira Vukčević
Methodology	lectures, experimental exercises, calculation, colloquia

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	rafination processes, types of rafination techniques as a function of metal application
I week exercises	Case study , selection of rafination technique for the sample of given composition, I term
II week lectures	Nature and classification of impurities, relation between the selected purification method and types of impurities
II week exercises	Case study , selection of purification method for the sample of given composition, II term
III week lectures	Theoretical fundamentals of pre-purification
III week exercises	Application of pre purification method on the selected sample, I term
IV week lectures	Types of pre purification
IV week exercises	Application of pre purification method on the selected sample, II term
V week lectures	in-line degassing system
V week exercises	Case study
VI week lectures	Methods of ultra purification , application
VI week exercises	Case study, selected specimen
VII week lectures	1st Colloquium
VII week exercises	Application of microscopy in purification methods
VIII week lectures	Theoretical fundamentals of electrolytical rafination
VIII week exercises	Electrolytical rafination of Al
IX week lectures	Crystallisation methods of purification, distribution coefficient
IX week exercises	Functional dependency of distribution coefficient and working conditions
X week lectures	Imbalanced distribution coefficient
X week exercises	Distribution coefficient in the conditions of imbalanced crystallisation velocity
XI week lectures	Fractional crystallisation
XI week exercises	Fractional crystallization of gallium, I term
XII week lectures	Zone melting, method
XII week exercises	Fractional crystallization of gallium, Ii term
XIII week lectures	Normal crystallisation
XIII week exercises	Normal crystallisation of Al
XIV week lectures	Characterisation of the specimen after the rafination
XIV week exercises	Characterisation techniques
XV week lectures	II colloquium
XV week exercises	Students work, corrective II colloquium

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	lectures, experimental exercises, colloquia, student work/optional
Consultations	Tuesdays and fridays on 12 oclock
Literature	1.R.Farell, E.Homer, Metal Cleaning, (ed) Metal Finishing (2002) 2.M. Flemings, Solidification processing, Mc Graw-Hill, INC (1994), ISBN 0-07-021283 3. M.Phillip, W.Bolton, Technology of engineering materials, Institution of Incorporated engineers, Butterworth and Heinemann, (2002), ISBN 0-7506-5643-3
Examination methods	activity during the lectures and exercises (0-10 points) - I , II colloquium: ( 0-20 poena) - I kolokvijum: ( 0-20 poena) - Final exam ( 0-50 points)
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 / METALLURGY AND / KERAMIČKI MATERIJALI

Course:

KERAMIČKI MATERIJALI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11519	Obavezan	6	7	3+2+0

Programs	METALLURGY AND
Prerequisites	-
Aims	Acquiring knowledge about methods for obtaining powders and processes in the solid phase, the influence of powder properties on the structure and structure on the properties of sintered materials and studying the properties of modern ceramic materials and their application.
Learning outcomes	After passing this exam, the student will be able to: 1. Differentiate techniques for obtaining powders and their characteristics depending on the applied technique, 2. Interpret the results of powder characterization: particle size, particle size distribution, shape, density, porosity, 3. Know the theoretical basics of densification by shaping and compacting, that is, by sintering 4. Identify technological problems in obtaining, characterizing and consolidating powders based on acquired theoretical knowledge and solves them, 5. Examine some of the most important properties of sintered ceramic materials, 6. Differentiate types of ceramic materials, 7. Choose a ceramic material for a specific application.
Lecturer / Teaching assistant	Full professor Mira Vukčević and Full professor Ivana Bošković
Methodology	Lectures, experimental exercises

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Obtaining powders. Mechanical methods
I week exercises	The relationship between powder properties and production techniques. Milling, mechanical alloying. Physical and chemical methods of obtaining powders.
II week lectures	Physical and chemical methods of obtaining powders.
II week exercises	Precipitation from metal salt solution
III week lectures	Characterization of powders (determining the size and distribution of particle size and particle shape)
III week exercises	Microscopic analysis, sieve analysis.
IV week lectures	Densification by shaping
IV week exercises	Laboratory exercises on densification.
V week lectures	Sintering, theoretical basis of material transport during sintering.
V week exercises	Densification processes during sintering, detection of contact formation.
VI week lectures	Sintering in the solid phase, Sintering in the presence of a liquid phase.
VI week exercises	Formation and growth of contacts, microscopy, microstructure, dissolution and rearrangement, densification.
VII week lectures	I test.
VII week exercises	Correctional I test.
VIII week lectures	Classification of ceramic products. Oxide ceramics. Al2O3 ceramics. Sialonic ceramics.
VIII week exercises	Laboratory exercises.
IX week lectures	Non-oxide ceramics. Carbide, boride and nitride ceramics
IX week exercises	Laboratory exercises.
X week lectures	Ceramic magnets. Ferrites, production and properties.
X week exercises	Laboratory exercises.
XI week lectures	Glass ceramics
XI week exercises	Laboratory exercises.
XII week lectures	Amorphous materials. Cermet.
XII week exercises	Laboratory exercises.
XIII week lectures	Materials for high temperature applications. Abrasive materials and materials for cutting tools.
XIII week exercises	Laboratory exercises.
XIV week lectures	Biocompatible ceramic materials
XIV week exercises	II test
XV week lectures	Composite ceramic material
XV week exercises	Correctional II test

Student workload	Weekly: 6 credits x 40/30 = 8 hours In the semester: 6 x 30 = 180 hours
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 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	Attending classes, exercises, active participation in work during the semester, two tests
Consultations	Tuesday and Friday: from 12:00 p.m
Literature	1. R.German, Powder Metallurgy science, 2nd edition, 2005 2. Y.M.Chiang, Electroceramics, (1997)
Examination methods	-Activity at lectures and participation in study visits: (0-10 points) -I test: (0-20 points) -I test: (0-20 points) -Final exam (0-50 points) A passing grade is obtained if at least 50 points are accumulated.
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 / METALLURGY AND / KOMPOZITNI MATERIJALI

Course:

KOMPOZITNI MATERIJALI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11520	Obavezan	6	7	3+2+0

Programs	METALLURGY AND
Prerequisites	None.
Aims	Acquiring knowledge about the types, process of making composites, characterization of physical and mechanical properties and damage analysis, selection and design of composites for various applications.
Learning outcomes	The student will be able to: understand the structure and manufacturing process of composite materials, macro/micromechanical behavior of composite materials, properties and behavior of different types of composite materials and methods of calculating elastic constants, predict the strength and other mechanical properties of fiber, laminate and dispersion reinforced composites.
Lecturer / Teaching assistant	prof. dr Kemal Delijić
Methodology	Lectures, exercises, colloquiums, seminar work.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to composite materials.
I week exercises	Basic properties/microstructure of composite materials.
II week lectures	Types of fillers and stiffeners in composite materials.
II week exercises	Examples of filler characteristics analysis.
III week lectures	Composite matrix materials.
III week exercises	Examples of matrix characteristic analysis.
IV week lectures	Interfaces and bonding agents in composite materials.
IV week exercises	Work on examples of matrix/reinforcer interface analysis.
V week lectures	Composite materials with a metal matrix, manufacturing methods, properties, application.
V week exercises	Work on examples related to metal matrix composites.
VI week lectures	Composite materials with a ceramic matrix, manufacturing methods, properties, application.
VI week exercises	I Colloquium/Test
VII week lectures	Composite materials with a polymer matrix, production methods, properties, application.
VII week exercises	Corrective Colloquium/Test
VIII week lectures	Carbon/carbon composites; Functional and "unconventional" composites.
VIII week exercises	Work on examples related to classes of ceramic, polymer and functional composites.
IX week lectures	Micromechanical behavior of composites.
IX week exercises	Work on examples related to the micromechanical behavior of composites.
X week lectures	Macromechanical behavior of composites.
X week exercises	Work on examples related to the macromechanical behavior of composites.
XI week lectures	Strength and fracture of composite materials.
XI week exercises	Work on examples related to the strength of composites.
XII week lectures	Fatigue and creep in composite materials.
XII week exercises	Work on examples related to fatigue and creep in composites.
XIII week lectures	Contemporary trends in the development of composite materials.
XIII week exercises	I Colloquium/Test
XIV week lectures	Principles of selection of composite materials - case study
XIV week exercises	Corrective Colloquium/Test
XV week lectures	Principles of selection of composite materials - case study
XV week exercises	Presentations of Seminar papers

Student workload
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 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	Attending classes, colloquiums, seminar work.
Consultations	According to schedule.
Literature	K. K Сhawla, Composite Materials Science and Engineering, Springer Science, New York, 2012 , ISBN: 978-0-387-74364-6 K Autar, 2005, Mechanics of Composite Materials, Informa Taylor and Francis, USA Callister D. 2009. Materials Science and Engineering, WILEY
Examination methods	I colloquium: up to 20 points II colloquium: up to 20 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 / METALLURGY AND / VATROSTALNI MATERIJALI

Course:

VATROSTALNI MATERIJALI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11521	Obavezan	6	6	2+2+0

Programs	METALLURGY AND
Prerequisites	No prerequisites
Aims	To introduce students with a basic knowledge in the field of refractory materials (dtypes, properties and use of refractory materials). To become familiar with the methods of obtaining and testing refractory materials (shaped and unshaped).
Learning outcomes	After passing the exam, the student will be able to: • Knows the types and properties of refractory materials • Knows the standards and methods of testing shaped and unshaped refractory materials. • Determines the properties of refractory materials; • Understands the relationship between the structure and properties of refractory materials • Makes a choice of refractory materials depending on the purpose
Lecturer / Teaching assistant	Prof. Irena Nikolić, PhD
Methodology	Lectures, preparation of homeworks. Consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Raw materials for obtaining refractory materials, Types and role of refractory materials,
I week exercises	Standards and methods for testing refractory materials
II week lectures	Shaped refractory materials. Fracture of refractory materials.
II week exercises	Determination of physical properties of molded refractory materials
III week lectures	Corrosion of molded refractories.
III week exercises	Determination of mechanical properties of molded refractory materials (compressive strength)
IV week lectures	Refractory materials based on silicon dioxide
IV week exercises	Determination of thermal properties of molded refractory materials - linear thermal expansion, thermal conductivity, stability at sudden temperature changes)
V week lectures	Refractory materials based on silicon dioxide
V week exercises	Determination of permanent changes in the dimensions of shaped products during heating
VI week lectures	Aluminosilicate refractory materials
VI week exercises	Determination of abrasion resistance at room temperature
VII week lectures	First midterm exam.
VII week exercises	Correctional first midterm exam.
VIII week lectures	Non-formed (monolithic) refractory materials. Refractory concrete: raw materials, types, bonding mechanisms, method of installation, properties.
VIII week exercises	Determination of the resistance of refractory materials to sulfuric acid
IX week lectures	Other non-formed refractory materials: plastic materials, explosive mixtures, plasters, coatings, dry mixtures, injection mixtures
IX week exercises	Preparation of unshaped refractory materials
X week lectures	Technologies of production and installation of non-shaped refractory materials.
X week exercises	Standards and methods of testing unformed refractory materials
XI week lectures	Applications of unformed refractory materials
XI week exercises	Determination of rheological characteristics of unformed refractory materials - consistency
XII week lectures	Additives for controlling the rheological properties of unformed refractory materials
XII week exercises	Determination of rheological characteristics of unformed refractory materials - workability
XIII week lectures	Design and installation of refractory materials
XIII week exercises	Seminar paper (unformed refractory materials)
XIV week lectures	Second midterm exam.
XIV week exercises	Correctional second midterm exam.
XV week lectures	Preparation for the final exam
XV week exercises	Preparation for the final exam

Student workload	Weekly: 4 ECTS x 40/30 hours = 5 hours 30 minutes Total workload for the semester = 120 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	Attending classes, passing the colloquium and the final exam
Consultations	Working days 10-11 am..
Literature	1. T.Volkov-Husović, Ispitivanja vatrostalnih materijala, TMF, Beograd, 2004. 2. T.Volkov-Husović, R. Jančić Heinemann, Termostabilnost vatrostalnih materijala: ispitivanje- analiza- mode lovanje Savez inženjera metalurgije , Beograd, 3. T.Volkov-Husović, Vatrostalni materijali : svojstva i primena Beograd 4. Charles A. Chacht, Refractories Handbook, Marcel Dekker, 2004, New York 5. G.W. Meetham & M.H.Van de Voorde , Materials for High Temperature Engineering Applications, Springer, 2000 6. M. Bengisu, Engineering Ceramics, Springer, 2001
Examination methods	- Activity during the lecture: (0 - 5 points), - Defended seminar paper: (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 / METALLURGY AND / POLIMERNI MATERIJALI

Course:

POLIMERNI MATERIJALI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11522	Obavezan	6	6	2+2+0

Programs	METALLURGY AND
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 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
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