+  P:1. Sanja Lađarević dipl.ing.arh. P:2.dr.sc. Dražen Arbutina dipl.ing.arh. P:3. Iva Ževrnja predavač P: Goran Babić P: Zoran Veršić A: Goran Babić A: Bernarda Cesar A: Iva Ževrnja predavač K: Goran Babić K: Bernarda Cesar K: Iva Ževrnja predavač  Building elements I  45+45 (9+0+0+36) (120)  7  155931 
Code WEB/ISVU  26014/155931  ECTS  7  Academic year  2020/2021  Name  Building elements I  Status  1st semester  Undergraduate professional study in civil engineering (Redovni graditeljstvo)  obligatory course  Department   Teaching mode  Lectures + exercises (auditory + laboratory + seminar + metodology + construction) work at home  45+45 (9+0+0+36) 120  Teachers  Lectures:1. Sanja Lađarević dipl.ing.arh. Lectures:2. dr.sc. Dražen Arbutina dipl.ing.arh. Lectures:3. Iva Ževrnja predavač Lectures: Goran Babić Lectures: Zoran Veršić Auditory exercises: Goran Babić Auditory exercises: Bernarda Cesar Auditory exercises: Iva Ževrnja predavač Construction exercises: Goran Babić Construction exercises: Bernarda Cesar Construction exercises: Iva Ževrnja predavač  Course objectives  Acquirement of basic knowledge on various building elements including materials, structures, and construction methods. Building physics.  Learning outcomes:  1.differentiate between foundation types and insulation methods for protection against ground water and moisture. Level:6 2.make sketch drawings of load bearing, partition, and multilayer walls made of various materials. Level:6 3.draw brick joints: angle joint, butt joint, and wall intersection joint. Level:6 4.differentiate between modern and traditional form types, with their specific features. Level:6 5.connect wall openings and their realization in different wall types. Level:6,7 6.differentiate between chimney and ventilation opening types, according to material, shape, way of construction, and evacuation of combustion products. Level:6 7.draw layout plan and conceptual drawing. Level:6 8.analyze external and internal actions on building from the standpoint of energy savings, thermal protection, and noise protection. Level:6 9.define layers of engineering structures from the standpoint of energy savings, thermal protection, and noise protection. Level:6,7 10.calculate numerical values of engineeringphysical properties of an external multilayer wall. Level:6
 Methods of carrying out lectures  Building elements, materials, structures and construction methods are explained through the drawing process and by using finished drawings of individual elements and details. To facilitate comprehensions of course material and enhance a sense of graphical expression, students are required to produce drawings relating to lectures. Building physics: Specialized professionals will give lectures (15+15) at the end of the first semester.  Methods of carrying out auditory exercises  Group problem solving Discussion, brainstorming
 How construction exercises are held  Other Elaboration of graphical (numerical) assignments with the assistance of lecturer when needed.  Course content lectures  1.Introduction, notion of a building, structural elements of buildings , 3h, Learning outcomes:6 2.Foundations, 3h, Learning outcomes:6 3.Waterproofing as protection against ground water and moisture, 3h, Learning outcomes:6 4.Vertical structural elements presented by materials , 3h, Learning outcomes:6 5.Walls made of brick, 2h, Learning outcomes:7 Walls made of stone, 1h, Learning outcomes:7 6.Walls made of wood,, 1h, Learning outcomes:7 Walls made of concrete blocks, lightweight concrete, 2h, Learning outcomes:7 7.Traditional and modern types of formwork , 1h, Learning outcomes:7 Walls made of monolithic concrete, 1h, Learning outcomes:7 Multilayered walls , 1h, Learning outcomes:7 8.Partitions walls , 1h, Learning outcomes:7 Openings in walls, 2h, Learning outcomes:7 9.Ventilation ducts , 1h, Learning outcomes:7 Chimneys, 2h, Learning outcomes:7 10.Chimneys, 3h, Learning outcomes:7 11.Heat transfer., 1h, Learning outcomes:7 Thermal conductivity, 1h, Learning outcomes:7 Values of heat transfer coefficients , 1h, Learning outcomes:7 12.Water vapour condensation. , 1h, Learning outcomes:7 Thermal bridges, 1h, Learning outcomes:7 Water vapour diffusion., 1h, Learning outcomes:7 13.Temperature variations and temperature stresses , 1h, Learning outcomes:7 Properties of sound, 2h, Learning outcomes:7 14.Noise, 1h, Learning outcomes:7 Sound waves, 1h, Learning outcomes:7 Sound absorption, 1h, Learning outcomes:7 15.Transfer of airborne sound and impact sound. , 2h, Learning outcomes:7 Insulation, 1h, Learning outcomes:7
 Course content auditory  1.Design report preparation phases; content and presentation of each phase, 3h, Learning outcomes:7 2.Instructions for preparation of drawings, 1h, Learning outcomes:7 3.. 4.Instructions for preparation of drawings, 1h, Learning outcomes:7 5.. 6.Instructions for preparation of drawings, 1h, Learning outcomes:7 7.. 8.. 9.. 10.. 11.Guidelines for solving numerical problems , 1h, Learning outcomes:7 12.Guidelines for solving numerical problems , 1h, Learning outcomes:7 13.Guidelines for solving numerical problems , 1h, Learning outcomes:7 14.. 15..
 Course content constructures  1.. 2.Individual elaboration of all design phases for a residential building, 2h, Learning outcomes:7 3.Preliminary design, detailed design , 3h, Learning outcomes:7 4.Preliminary design, detailed design , 2h, Learning outcomes:7 5.Preliminary design, detailed design , 3h, Learning outcomes:7 6.Preliminary design, detailed design , 2h, Learning outcomes:7 7.Working design (plan) of the ground floor , 3h, Learning outcomes:7 8.Working design (plan) of the ground floor , 3h, Learning outcomes:7 9.Working design (plan) of the ground floor , 3h, Learning outcomes:7 10.Working design (plan) of the ground floor , 3h, Learning outcomes:7 11.Each student is to prepare a numerical example for calculation of building physics properties of a multilayered external wall , 2h, Learning outcomes:7 12.Each student is to prepare a numerical example for calculation of building physics properties of a multilayered external wall , 2h, Learning outcomes:7 13.Each student is to prepare a numerical example for calculation of building physics properties of a multilayered external wall , 2h, Learning outcomes:7 14.Each student is to prepare a numerical example for calculation of building physics properties of a multilayered external wall , 3h, Learning outcomes:7 15.Each student is to prepare a numerical example for calculation of building physics properties of a multilayered external wall , 3h, Learning outcomes:7
 Required materials  Basic: classroom, blackboard, chalk... Whiteboard with markers Overhead projector Video equipment Elaboration of graphical (numerical) assignments with the assistance of lecturer when needed.  Exam literature  Basic literature: 1.Sanja Lađarević: Elementi zgrada I 2. Peulić: Konstruktivni elementi zgrada I i II, Tehnička knjiga, Zagreb, 1980. 3. Z. Vrkljan, I. Kordiš: Opreme građevinskih nacrta, Fakultet građevinskih znanosti Zagreb, 1982. 4.V. Šimetin: Građevinska fizika, skripta, Građevinski institut, Zagreb, 1983. Additional literature: 1. Heinrich Schmitt: Hochbaukonstruktion 2. Martin Mittag: Građevinske konstrukcije  Students obligations  maximum of 3 absences from exercises  Knowledge evaluation during semester  Redovitost pohaa, Kolokvij: teorijska pitanja, grafi zadaci, raski zadaci Programski zadatak
 Knowledge evaluation after semester  Assignments (5 drawings + solution to a building physics numerical problem)  requirements for lecturer's signature Preliminary examinations: 1) Building Physics (obligatory); 2) 1 in the first semester + 2 in the second semester (not obligatory; however those who pass them are not required to take the written portion of the final examination) Final examination  written and oral (to be taken at the end of the academic year). Written part of the examination: presentation of knowledge through drawing; oral part of the examination: verifying comprehension of the subjectmatter taught during the course.  Student activities:  Aktivnost  ECTS  (Activity in class)  1  (Project)  2  (Written exam)  2  (Constantly tested knowledge)  2 
 Remark  This course can be used for final thesis theme  ISVU equivalents:  22340; 

+  P:1.mr.sc. Donka Wurth v. predavač P:mr.sc. Jure Galić predavač P: Tomislav Svaguša A:mr.sc. Jure Galić predavač A:mr.sc. Donka Wurth v. predavač L:mr.sc. Jure Galić predavač L:mr.sc. Donka Wurth v. predavač  Construction Materials  30+30 (18+12+0+0) (90)  5  184642 
Code WEB/ISVU  26278/184642  ECTS  5  Academic year  2020/2021  Name  Construction Materials  Status  1st semester  Undergraduate professional study in civil engineering (Redovni graditeljstvo)  obligatory course  Department   Teaching mode  Lectures + exercises (auditory + laboratory + seminar + metodology + construction) work at home  30+30 (18+12+0+0) 90  Teachers  Lectures:1. mr.sc. Donka Wurth v. predavač Lectures:mr.sc. Jure Galić predavač Lectures: Tomislav Svaguša Auditory exercises:mr.sc. Jure Galić predavač Auditory exercises:mr.sc. Donka Wurth v. predavač Laboratory exercises:mr.sc. Jure Galić predavač Laboratory exercises:mr.sc. Donka Wurth v. predavač  Course objectives  Introducing students to the types and properties of materials and to their use in civil engineering  Learning outcomes:  1.calculate composition of concrete of a given strength, durability and workability for a particular structural element. Level:6 2.draw grain size distribution curve for an aggregate. Level:6 3.test individual properties of aggregate, cement, fresh and hardened concrete. Level:6 4.analyse concrete testing results. Level:6 5.differentiate types of aggregate, cement, concrete admixtures, special types of concrete, brick products, glass and plastics. Level:6 6.differentiate good and bad properties of wood as a construction material (mechanical, physical, physicochemical properties, permanent strength and constant elasticity). Level:6 7.calculate displacements due to change in moisture and temperature on wood and steel elements. Level:6 8.plan testing of individual properties of steel, wood and brick products. Level:6,7
 Methods of carrying out lectures  Ex cathedra teaching Case studies The lecturer presents basic information about materials, from the structure and interaction of individual components, to the mechanical, thermal, acoustical and other properties relevant to the use of these materials in civil engineering.  Methods of carrying out auditory exercises  Group problem solving Discussion, brainstorming Other Students solve problems related to topics covered during the lectures. Students are prepared for laboratory sessions and for the preparation of programs.  Methods of carrying out laboratory exercises  Laboratory exercises on laboratory equipment Group problem solving Discussion, brainstorming Using the obligatory literature, Students perform tests in accordance with applicable Croatian standards and prepare obligatory assignments related to the following topics: physical parameters, cement, aggregate, fresh concrete, strength and deformation of concrete, and nondestructive testing. The data acquired during laboratory sessions are partly used by students during preparation of programs.  Course content lectures  1.Information about materials. Statistical processing. Structure and correlation of substances., 2h, Learning outcomes:1 2.Aggregate., 2h, Learning outcomes:2,6 3.Binders. Cement. Additions, admixtures. Water., 2h, Learning outcomes:3,6 4.Fresh concrete. Composition of concrete of specified workability and strength. , 2h, Learning outcomes:6 5.Strength of concrete. Deformation of concrete., 2h, Learning outcomes:7 6.Production of concrete., 2h, Learning outcomes:6 7.Wood (chemical, physical, mechanical properties), 2h, Learning outcomes:8 8.Wood (durability, faire resistance, mildew and insects) , 2h, Learning outcomes:8 9.Construction steels. Methods of production. The properties of the steel. Types of construction steel, 2h, Learning outcomes:8 10.Stone, 2h, Learning outcomes:6 11.Special types of concrete and special concrete technologies, 2h, Learning outcomes:6 12.Quality control, quality assurance and quality management. Subsequent examination of the quality of concrete in construction, 2h, Learning outcomes:6 13.Mortars. Floors., 2h, Learning outcomes:5 14.Brick production, types of bricks and clay blocks., 1h, Learning outcomes:5 Testing of bricks and clay blocks, 1h, Learning outcomes:5 15.Tile, production and testing, 1h, Learning outcomes:5 Glass, plastic., 1h, Learning outcomes:5
 Course content auditory  1.No classes, 2h 2.Statistical processing. Physical parameters. Mechanical properties and permeability., 2h, Learning outcomes:1 3.Aggregate (aggregate grading, calculation of cumulative grading, influence of moisture and absorption of aggregate, determination of aggregate shape), 2h, Learning outcomes:2 4.Laboratory exercises, 2h 5.Laboratory exercises, 2h 6.Cement (significance, cement grade, calculation of mineralogical composition of cement, calculation of hydration heat, calculation of cement paste temperature, cement grade determination)., 2h, Learning outcomes:3 7.Fresh concrete (designing concrete mixes of specified workability and concrete grade, influence of temperature of individual components on the temperature of the fresh concrete mix)., 2h, Learning outcomes:4 8.Laboratory exercises, 2h 9.Laboratory exercises, 2h 10.Strength and deformation of concrete. Special tests (sclerometer, ultrasound, pulloff, concrete moisture, penetrability, reinforcing steel), 2h, Learning outcomes:5 11.Laboratory exercises, 2h 12.Laboratory exercises, 2h 13.Concrete composition design., 2h, Learning outcomes:6 14.Laboratory exercises, 2h 15.Laboratory exercises, 2h
 Course content laboratory  1.No classes, 2h 2.Auditory exercises, 2h 3.Auditory exercises, 2h 4.Determination of physical properties of materials (density, bulk density, absorption, surface moisture, moisture, water absorption, porosity)., 2h, Learning outcomes:1 5.Properties of aggregates (quartering, grading, aggregate grain shape testing, determination of silty and clayey particles in aggregate, grain shape determination)., 2h, Learning outcomes:2 6.Auditory exercises, 2h 7.Auditory exercises, 2h 8.Determination of basic properties of cement (standard consistence and density). , 2h, Learning outcomes:3 9.Concrete composition design, preparation of concrete mixes, testing properties of fresh concrete: consistence, pores, density, sampling., 2h, Learning outcomes:4 10.Auditory exercises, 2h 11.Determining strength and strain of concrete (compressive and tensile strength, modulus of elasticity). Nondestructive testing: sclerometer and ultrasound., 2h, Learning outcomes:5 12.Preliminary exam wood, steel and stone., 2h, Learning outcomes:8 13.Auditory exercises, 2h 14.Preliminary exam concrete., 2h, Learning outcomes:6 15.Preliminary exam bricks, tile, glass., 2h, Learning outcomes:5
 Required materials  Basic: classroom, blackboard, chalk... Special purpose laboratory Overhead projector Video equipment Using the obligatory literature, Students perform tests in accordance with applicable Croatian standards and prepare obligatory assignments related to the following topics: physical parameters, cement, aggregate, fresh concrete, strength and deformation of concrete, and nondestructive testing. The data acquired during laboratory sessions are partly used by students during preparation of programs.  Exam literature  Basic literature: 1. Ukrainczyk, V.: Poznavanje gradiva, Institut građevinarstva Hrvatske, Alcor, Zagreb, Udžbenik Sveučilišta u Zagrebu, 2001. 2. Ukrainczyk, V.: Beton: struktura, svojstva, tehnologija, Građevinski fakultet Sveučilišta u Zagrebu, 1994. 3. Bjegović, D. i dr.: Auditorne vježbe, Praktikum, Aktivna nastava, Građevinski fakultet Sveučilišta u Zagrebu, 1994. 4. Teorija i tehnologija betona Nina Štirmer, Dubravka Bjegović, Građevinski fakultet Zagreb 5. Ashby Michael F., Joneas David R:H.: Engineering Materials 1, ButterworthHeinemann, OxfordBostonJohannesburgMelbourneNewDelhiSingapore, 1996 6. Illston J.M., Construction Materials, their nature and behaviour, EFN SPON Chapman Hall, LondonGlasgowNew mYorkTokyoMelburneMadras, 1994
 Students obligations  maximum of 3 absences from exercises  Knowledge evaluation during semester  Kolokvij, numeri zadaci#2#30#50$Kolokvij, teorijska pitanja#3#60#50$Programski zadatak#1#10#0$  Knowledge evaluation after semester  The examination consists of the written and oral portions.  Student activities:  Aktivnost  ECTS  (Classes attendance)  1  (Practical work)  1  (Activity in class)  1  (Written exam)  1  (Report)  1 
 Remark  This course can be used for final thesis theme  ISVU equivalents:  22324; 

+  A:1. Natalija Špehar viši predavač  Kinesiology Education I  0+30 (30+0+0+0) (0)  1  143316 
Code WEB/ISVU  25919/143316  ECTS  1  Academic year  2020/2021  Name  Kinesiology Education I  Status  1st semester  Undergraduate professional study in civil engineering (Redovni graditeljstvo)  obligatory course  Department   Teaching mode  Lectures + exercises (auditory + laboratory + seminar + metodology + construction) work at home  0+30 (30+0+0+0) 0  Teachers  Auditory exercises:1. Natalija Špehar viši predavač  Course objectives  Students will acquire knowledge about the basic biopsychosocial human need for dynamic expression and movement, benefits of regular physical exercise during the entire lifetime, influence on anthropological characteristics (functional, motoric and cognitive capabilities, conative properties, and morphologic features), and about improvement and preservation of health and working capacity.  Learning outcomes:  1.demonstrate proper realization of technical elements in a sports activity. Level:6,7 2.explain basic terms relating to a particular sports activity. Level: 3.formulate basic rules relating to a particular sports activity. Level: 4.recognise exercises for individual muscle groups. Level: 5.explain significance of warming up and stretching in the course of a sports activity. Level: 6.describe organisation and conduct of student sporting events. Level: 7.consider significance of a lifelong regular physical activity. Level:
 Methods of carrying out auditory exercises  Workshop Physical Education Exercises  Course content auditory  1.Repeating technical elements of a specific kinesiologic activity, 4h, Learning outcomes:1 2.Repeating technical elements of a specific kinesiologic activity, 2h, Learning outcomes:2 3.Adopting new elements of a specific kinesiologic activity, 2h, Learning outcomes:1 4.Adopting new elements of a specific kinesiologic activity, 2h, Learning outcomes:2 5.Using auxiliary and elementary games in the learning process of a specific kinesiologic activity, 2h, Learning outcomes:4 6.Improving the elements of a specific kinesiologic activity, 2h, Learning outcomes:1 7.Improving the elements of a specific kinesiologic activity, 2h, Learning outcomes:2 8.Adopting a set of warmup exercises for a specific kinesiologic activity, 2h, Learning outcomes:5 9.Adopting a set of stretching exercises for a specific kinesiologic activity, 2h, Learning outcomes:5 10.Repeating the basic rules of a specific kinesiologic activity, 2h, Learning outcomes:3 11.Adoption of basic technical and tactical elements of a specific kinesiologic activity, 2h, Learning outcomes:1 12.Adoption of basic technical and tactical elements of a specific kinesiologic activity, 2h, Learning outcomes:3 13.Competition and Games, 2h, Learning outcomes:6 14.Competition and Games, 2h, Learning outcomes:6 15.Training and automation of injury prevention exercises, 2h, Learning outcomes:7
 Required materials  Special equipment Gym / pool and equipment needed for each sport activity (balls, rackets, markers...)  Exam literature  Basic literature: Nema obvezne literature budući da se ispit iz tjelesne i zdravstvene kulture ne polaže. Studente se upućuje na literaturu vezanu uz tjelesnu i zdravstvenu kulturu, poboljšanje i očuvanje zdravlja, pravilnu prehranu, prevenciju nastanka ozljeda, povijest sporta, pravila sporta, načine i ciljeve treninga, važnost redovitog vježbanja tjekom cijelog života, novosti u svijetu sporta, rekreacije i kineziterapije. Additional literature: 1.MišigojDuraković, M. i sur. (1999). Tjelesno vježbanje i zdravlje. Zagreb: FFK 2.Anderson, B., E. Burke, B. Pearl (1997.). Fitness za sve, Zagreb: Gopal. 3.Anderson, B. (2001.). Stretching. Zagreb: Gopal. 4.Clark, N. (2000). Sportska prehrana. Zagreb: Gopal. 5.Delavier, F. (2001). Streinght training anatomy. Paris. Human Kinetics. 6.Dick, F. W. (1997). Sports Training Principles. London. A C Black. 7.Ellis J., J. Henderson (1997.).Trčanje bez ozljeda, Zagreb: Gopal. 8.Jukić, I., Marković. G. (2005.). Kondicijske vježbe s utezima. Zagreb. Kineziološki fakultet Sveučilišta u Zagrebu 9.Klinika za dječje bolesti Zagreb, Služba za reproduktivno zdravlje (2000). Spolno prenosive bolesti, Reproduktivno zdravlje, Metode i sredstva za zaštitu od trudnoće, Zagreb. 10.Klinika za dječje bolesti Zagreb, Služba za reproduktivno zdravlje (2001). Kontracepcija  vodič kroz metode i sredstva za spriječavanje trudnoće, Zagreb. 11.Kulier, I (2003). Strategija mršavljenja, Zagreb: Impress. 12.Kulier, I. (2001). Što jedemo, Zagreb: Impress. 13.Medved, R. i suradnici (1987). Sportska medicina. Zagreb: Jumena. 14.Milanović, D. i suradnici (1997). Priručnik za sportske trenere. Zagreb: FFK 15.MišigojDuraković, M., i suradnici (1995). Morfološka antropologija u športu. Zagreb. FFK 16.Pearl, B. (1994.). Getting stronger, Kalifornija, Bolinas: Shelter Publications. Inc. 17. Špehar, N. (2014). Tjelesna aktivnost u funkciji zdravlja  nastavni materijal iz Tjelesne i zdravstvene kulture,dostupno online na web stranicama TVZa Obavijesti i informacije na internet adresi http://nastava.tvz.hr/tzkGRO  Students obligations  Students are required to actively participate in exercises during 30 hours per semester, during four semesters. First semester students must go through the swimming test (nonswimmers have to attend the swimming school during the second semester). Second semester students must be present at both lectures and exercises. Students who are not required to attend because of active participation in sports are however required to attend all lectures, assist in the organization and implementation of lectures, and attend a specially devised program if permitted to do so by the sports doctor.  Knowledge evaluation during semester  Redovitost pohaa#18#100#0$Prakti rad#10#0#0$  Knowledge evaluation after semester  Students are required to actively participate in exercises during 30 hours per semester, during four semester. First semester students must go through the swimming test (nonswimmers have to attend the swimming school during the second semester). Students not required to attend because of active participation in sports are however required to attend all lectures, assist in organization and implementation of lectures and attend a specially devised program if permitted to do so by the sports doctor.  Student activities:  Aktivnost  ECTS  (Classes attendance)  1 
 Remark  This course can not be used for final thesis theme  ISVU equivalents:  38171;85288;  Proposal made by  Natalija Špehar, Senior Lecturer 

+  P:1. Ivana Božić Dragun dipl.prof.mat. P:dr. sc. Reni Banov pred. P:dr.sc. Mandi Orlić Bachler v.pred A:dr. sc. Reni Banov pred. A: Martina Benković A: Ivana Božić Dragun dipl.prof.mat. A: Anita Harmina dipl. ing. mat., univ. spec. oec., predavač A:dr.sc. Mandi Orlić Bachler v.pred  Mathematics I  45+45 (45+0+0+0) (120)  7  22319 
Code WEB/ISVU  25698/22319  ECTS  7  Academic year  2020/2021  Name  Mathematics I  Status  1st semester  Undergraduate professional study in civil engineering (Redovni graditeljstvo)  obligatory course  Department   Teaching mode  Lectures + exercises (auditory + laboratory + seminar + metodology + construction) work at home  45+45 (45+0+0+0) 120  Teachers  Lectures:1. Ivana Božić Dragun dipl.prof.mat. Lectures:dr. sc. Reni Banov pred. Lectures:dr.sc. Mandi Orlić Bachler v.pred Auditory exercises:dr. sc. Reni Banov pred. Auditory exercises: Martina Benković Auditory exercises: Ivana Božić Dragun dipl.prof.mat. Auditory exercises: Anita Harmina dipl. ing. mat., univ. spec. oec., predavač Auditory exercises:dr.sc. Mandi Orlić Bachler v.pred  Course objectives  acquiring basic knowledge in vector algebra and differential calculus of real functions of a single real variable  Learning outcomes:  1.distinguish between sets of natural, whole, rational and real numbers. Level:6 2. find determinants of real matrices. Level:6 3.distinguish between scalar and vector quantities. Level:6 4.find areas of polygons and volumes of polyhedrons by means of vector algebra. Level:6 5.determine eigenvalues and eigenvectors. Level:6 6.solve systems of linear algebraic equations. Level:6 7.determine equations of straight lines in plane. Level:6,7 8.determine equations of straight lines and planes in space. Level:6,7 9.calculate sum, product and quotient of complex numbers. Level:6 10.determine the properties of arrays and rows. Level:6 11.determine inverse functions. Level:6 12.evaluate limits of functions. Level:6 13.find derivatives of functions. Level:6 14.determine tangents and normals on graphs of functions. Level:6,7 15.determine local extrema and inflection points of functions. Level:6 16.sketch graphs of functions. Level:6 17.determine properties of real functions . Level:6
 Methods of carrying out lectures  Ex cathedra teaching
 Methods of carrying out auditory exercises  Group problem solving
 Course content lectures  1.Real functions and basic identities, 3h, Learning outcomes:1 2.Matrices and determinants, 3h, Learning outcomes:2 3.Vectors and vector multiplication, 3h, Learning outcomes:3,4 4.Eigenvalues and eigenvectors, 3h, Learning outcomes:5 5.Systems of linear equations, 3h, Learning outcomes:6 6.Direction, plane, polar coordinate system, 3h, Learning outcomes:7,8 7.Complex numbers, 3h, Learning outcomes:9 8.Midterm exam, 3h, Learning outcomes:1,2,3,4,5,6,7,8,9 9.Arrays and rows, 3h, Learning outcomes:10 10.Continuity and limits real functions, 3h, Learning outcomes:11,12 11.Derivatives, 3h, Learning outcomes:13 12.Applications of derivatives, 3h, Learning outcomes:14,15 13.Graph sketching, 3h, Learning outcomes:16 14.Properties of real functions (trig, exp, log, hyp), 3h, Learning outcomes:17 15.Final exam, 3h, Learning outcomes:10,11,12,13,14,15,16,17
 Course content auditory  1.Real functions and basic identities, 3h, Learning outcomes:1 2.Matrices and determinants, 3h, Learning outcomes:2 3.Vectors and vector multiplication, 3h, Learning outcomes:3,4 4.Eigenvalues and eigenvectors, 3h, Learning outcomes:5 5.Systems of linear equations, 3h, Learning outcomes:6 6.Direction, plane, polar coordinate system, 3h, Learning outcomes:7,8 7.Complex numbers, 3h, Learning outcomes:9 8.Midterm exam, 3h, Learning outcomes:1,2,3,4,5,6,7,8,9 9.Arrays and rows, 3h, Learning outcomes:10 10.Continuity and limits real functions, 3h, Learning outcomes:11,12 11.Derivatives, 3h, Learning outcomes:13 12.Applications of derivatives, 3h, Learning outcomes:14,15 13.Graph sketching, 3h, Learning outcomes:16 14.Properties of real functions (trig, exp, log, hyp), 3h, Learning outcomes:17 15.Final exam, 3h, Learning outcomes:10,11,12,13,14,15,16,17
 Required materials  Basic: classroom, blackboard, chalk...
 Exam literature  1. S. Suljagić: Matematika I, skripta, 2005. http://nastava.tvz.hr/ssuljagic/ 2. M. Orlić, T. Perkov: Repetitorij matematike za studente graditeljstva, TVZ, Zagreb, 2014. 3. M. Orlić Bachler, I. Volarić: Osnove računalnog programa Maxima, Zagreb, 2020. Additional literature: 1. B. P. Demidovič i dr.: Zadaci i riješeni primjeri iz matematičke analize za tehničke fakultete, 7. ispravljeno izdanje, Golden marketing  Tehnička knjiga, Zagreb, 2003. 2. N. Elezović: Linearna algebra, Element, Zagreb, 1995. 3. N. Elezović, A. Aglić: Zbirka zadataka iz linearne algebre, Element, Zagreb, 1995. 4. L. Krnić, Z. Šikić: Račun diferencijalni i integralni, Školska knjiga, Zagreb, 1992. 5. S. Kurepa: Matematička analiza I, Tehnička knjiga, Zagreb, 1970. 6. Ž. Pauše: Zbirka teorijskih pitanja iz matematike za studente tehnike, Školska knjiga, Zagreb, 1995. 7. K. Singh: Engineering mathematics through applications, Palgrave Macmillan, 2003.  Students obligations  70% of class attendance of the total class number and exercises. In case of less class attendance and exercises, valid excuse and submitted obligatory assignments are required.  Knowledge evaluation during semester  Total two preliminary practical exams. 1. preliminary practical exam: 40% of total points; 2. preliminary practical exam: 40% of total points; homeworks: 20% of total points;
Marks: 50%  62% of total points = sufficient (2) 63%  74% of total points = good (3) 75%  89% of total points = very good (4) 90%  100% of total points = excellent (5)
Oral exam is obligatory for all students who pass that preliminary practical exam. Remark: In valid cases practical and oral exam can be taken using LMS and Teams.  Knowledge evaluation after semester  Practical exams: pass: 50% of total points; Marks: 50%  62% of total points = sufficient (2) 63%  74% of total points = good (3) 75%  89% of total points = very good (4) 90%  100% of total points = excellent (5)
Oral exam is obligatory for all students who pass that preliminary practical exam. Remark: In valid cases practical and oral exam can be taken using LMS and Teams.
 Student activities:  Aktivnost  ECTS  (Classes attendance)  1  (Constantly tested knowledge)  2  (Written exam)  2  (Oral exam)  2 
 Remark  This course can not be used for final thesis theme  Proposal made by  Mandi Orlić Bachler, Reni Banov, 17.7.2020. 

+  P:1. Ivana Božić Dragun dipl.prof.mat. A: Ivana Božić Dragun dipl.prof.mat. K: Ivana Božić Dragun dipl.prof.mat.  Descriptive Geometry in Civil Engineering I  15+15 (7+0+0+8) (60)  3  155949 
Code WEB/ISVU  26021/155949  ECTS  3  Academic year  2020/2021  Name  Descriptive Geometry in Civil Engineering I  Status  1st semester  Undergraduate professional study in civil engineering (Redovni graditeljstvo)  obligatory course  Department   Teaching mode  Lectures + exercises (auditory + laboratory + seminar + metodology + construction) work at home  15+15 (7+0+0+8) 60  Teachers  Lectures:1. Ivana Božić Dragun dipl.prof.mat. Auditory exercises: Ivana Božić Dragun dipl.prof.mat. Construction exercises: Ivana Božić Dragun dipl.prof.mat.  Course objectives  Development of students spatial perception, creative thinking, and spatial problem solving using structural method  Learning outcomes:  1.develop spatial perception. Level:6,7 2.solve spatial problem by a structural method. Level:6 3.draw a threedimensional object on a twodimensional drawing. Level:6 4.draw orthogonal projection of geometric objects using the Monges method. Level:6 5.analyse stereometric relations in orthogonal projection of geometric bodies. Level:6 6.make a threedimensional sketch based on orthogonal projections given on a twodimensional drawing. Level:6
 Methods of carrying out lectures  Ex cathedra teaching Other PowerPoint stepbystep presentations.  Methods of carrying out auditory exercises  Other Problems are solved at the blackboard or on computer.  How construction exercises are held  Other Each student designes his drawing on paper. Lecturers corrections are obliged.  Course content lectures  1.Introduction to Monges method. Projections of a point and a linesegment., 1h, Learning outcomes:1,3,4 2.Projections of line. Points of intersection of line. Inclined angles of line. Two lines. Projections of plane figures., 1h, Learning outcomes:1,3,4 3.Projections of plane. Point and line in plane., 1h, Learning outcomes:1,3,4 4.Costructing plane traces. Two planes. Intersection of line and plane. Perpendicularity., 1h, Learning outcomes:1,3,4 5.Side view., 1h, Learning outcomes:1,3,4 6.Projections of plane shapes. Shapes in projecting plane., 1h, Learning outcomes:1,3,4 7.Shape in oblique plane. Rotation of plane. Perspectival affinity., 1h, Learning outcomes:1,3,4 8.First preliminary exam., 1h, Learning outcomes:1,3,4 9.Projections of circle. Circle in projecting and in oblique plane. Construction of ellipse., 1h, Learning outcomes:1,3,4 10.Projections of geometrical solids. Regular polyhedra., 1h, Learning outcomes:1,2,3,4,5,6 11.Projections of geometrical solids with base in projecting plane., 1h, Learning outcomes:1,2,3,4,5,6 12.Projections of geometrical solids with base in oblique plane., 1h, Learning outcomes:1,2,3,4,5,6 13.About surfaces of 2nd order. Surface sections., 1h, Learning outcomes:1,2,3,4,5,6 14.Cone sections., 1h, Learning outcomes:1,2,3,4,5,6 15.Second preliminary exam., 1h, Learning outcomes:1,2,3,4,5,6
 Course content auditory  1.Points, lines, planes. Designing regular polygons., 1h, Learning outcomes:1,3,4 2.Monges method. Orthogonal projections of point, linesegment, line., 1h, Learning outcomes:1,3,4 3.Two lines. Plane. Point, line and shape in plane., 1h, Learning outcomes:1,3,4 4.Constructing plane traces. Two planes. Intersection point of line and plane., 1h, Learning outcomes:1,3,4 5. 6.Perpendicularity. Side view., 1h, Learning outcomes:1,3,4 7. 8.Projections of shapes. Shapes in projecting plane., 1h, Learning outcomes:1,3,4 9.Projections of shapes in oblique plane. Affinity., 1h, Learning outcomes:1,3,4 10. 11. 12. 13. 14. 15.
 Course content constructures  1. 2. 3. 4. 5.Dealing with spatial relations., 1h, Learning outcomes:1,3,4 6. 7.Dealing with metrical method., 1h, Learning outcomes:1,3,4 8. 9. 10.Design of projections of geometric shapes., 1h, Learning outcomes:1,3,4 11.Design of projections of geometric solids., 1h, Learning outcomes:1,2,3,4,5,6 12.Design of projections of geometric solids with base in oblique plane., 1h, Learning outcomes:1,2,3,4,5,6 13.Students individual work  projections of geometric solids., 1h, Learning outcomes:1,2,3,4,5,6 14.Students individual work  projections of geometric solids., 1h, Learning outcomes:1,2,3,4,5,6 15.Students individual work  projections of geometric solids., 1h, Learning outcomes:1,2,3,4,5,6
 Required materials  Basic: classroom, blackboard, chalk... Overhead projector
 Exam literature  Basic literature: 1. K. HorvatićBaltasar, I. Babić: Nacrtna geometrija, SAND d.o.o., Zagreb, 1997. Additional literature: 2. I. Babić, S. Gorjanc, A. Sliepčević, V. Szirovicza: Nacrtna geometrijazadaci, HDGG, Zagreb, 2011. 3. M. Katić Žlepalo, I. Božić: Nacrtna geometrija u graditeljstvu 1  skripta za vježbe 4. V. Szirovicza, E. Jurkin Deskriptivna geometrija CD, Zagreb, 2005. 5. Linkovi na materijale na web: http://moj.tvz.hr/index.php?pred=18103  Students obligations  Regular attendance. Student's task (design of geometrical solid). Homework. Two preliminary exams. Both preexams should be completed with minimum 40% score to be allowed to take a final exam.  Knowledge evaluation during semester  Two preliminary exams. Both preexams should be completed with minimum 70% in order to be exempt from the final exam.  Knowledge evaluation after semester  Written exam. Oral exam.  Student activities:  Aktivnost  ECTS  (Written exam)  3 
 Remark  This course can not be used for final thesis theme  ISVU equivalents:  38169;39048; 

+  P:1.dr.sc. Igor Gukov , dipl.ing.građ. P:dr.sc. Dalibor Gelo mag.ing.aedif. P:dr.sc. Mandi Orlić Bachler v.pred P:v.predavač Boris Uremović dipl.ing.građ. L:dr.sc. Igor Gukov , dipl.ing.građ. L: Ivan Volarić struč.spec.ing.aedif.  Computer Use in Civil Engineering  15+15 (0+15+0+0) (30)  2  147425 
Code WEB/ISVU  25978/147425  ECTS  2  Academic year  2020/2021  Name  Computer Use in Civil Engineering  Status  1st semester  Undergraduate professional study in civil engineering (Redovni graditeljstvo)  obligatory course  Department   Teaching mode  Lectures + exercises (auditory + laboratory + seminar + metodology + construction) work at home  15+15 (0+15+0+0) 30  Teachers  Lectures:1. dr.sc. Igor Gukov , dipl.ing.građ. Lectures:dr.sc. Dalibor Gelo mag.ing.aedif. Lectures:dr.sc. Mandi Orlić Bachler v.pred Lectures:v.predavač Boris Uremović dipl.ing.građ. Laboratory exercises:dr.sc. Igor Gukov , dipl.ing.građ. Laboratory exercises: Ivan Volarić struč.spec.ing.aedif.  Course objectives  Acquiring of theoretical and practical knowledge and skills on the application of computers and application software in civil engineering and architecture.  Learning outcomes:  1.To determine the possibility of application programming languages to solve various problems in civil engineering, architecture and mathematics. Level:7 2.Develop skills technical and information communication and use of technical information and documentation. Level:6,7 3.Make technical drawings using CAD software. Level:6 4.Calculate the value of simple mathematical expressions. Level:6 5.Solve systems of equations. Level:6 6.Solve the matrix calculus. Level:6 7.Draw a graph of real functions of one variable defined on the segment. Level:6 8.Calculate derivatives and integrate real functions of a real variable. Level:6 9.Solve equations with one unknown, ordinary differential equations and certain integrals corresponding numerical methods. Level:6
 Methods of carrying out lectures  Ex cathedra teaching Demonstration Simulations
 Methods of carrying out laboratory exercises  Laboratory exercises on laboratory equipment Laboratory exercises, computer simulations Group problem solving Traditional literature analysis Data mining and knowledge discovery on the Web Computer simulations
 Course content lectures  1.Introduction to computers, 1h, Learning outcomes:1,2 2.Basics of operating systems. Ubuntu and OpenOffice, 1h, Learning outcomes:1,2 3.Application of computers in civil engineering and architecture, 1h, Learning outcomes:1,2 4.CAD programs. BIM and REVIT, 1h, Learning outcomes:1,2 5.GIS in civil engineering, 1h, Learning outcomes:1,2 6.Programming and programming languages. Web programming, 1h, Learning outcomes:1,2 7.Introduction to Python, 1h, Learning outcomes:1,2 8.Database and SQL, 1h, Learning outcomes:1,2 9.Fundamentals of computer graphics: 3D computer graphics, 1h, Learning outcomes:1,2 10.Fundamentals of computer graphics: Modeling and animation , 1h, Learning outcomes:1,2 11.Raster and vector graphics. Vectorization of raster files, 1h, Learning outcomes:1,2 12.Artificial intelligence , 1h, Learning outcomes:1,2 13.Application of computers in mathematics, 1h, Learning outcomes:1,2 14.Specialized educational computer programs, 1h, Learning outcomes:1 15.Introduction to Maxima, 1h, Learning outcomes:1
 Course content laboratory  1.AutoCad: Drawing Tools and Editing, 1h, Learning outcomes:3 2.AutoCad: Dimensioning and hatching, 1h, Learning outcomes:3 3.AutoCad: Working with blocks and attributes, 1h, Learning outcomes:3 4.AutoCad: Working with layers. Print drawing, 1h, Learning outcomes:3 5.AutoCad: Drawing in plane, 1h, Learning outcomes:3 6.AutoCad: Drawing in space, 1h, Learning outcomes:3 7.AutoCAD: Creating views, section, volume, 1h, Learning outcomes:3 8.The first colloquium (AutoCad), 1h, Learning outcomes:1,2,3 9.Maxima: Special characters, lists, arithmetic operations, functions, 1h, Learning outcomes:4 10.Maxima and Excel: Equations with one unknown, systems of equations, 1h, Learning outcomes:5 11.Maxima and Excel: Matrix calculation, 1h, Learning outcomes:6 12.Maxima and Excel: Graphic functions, 1h, Learning outcomes:7 13.Maxima: Differential and integral calculus, 1h, Learning outcomes:8 14.Maxima and Excel:: Numerical methods  Numerical integration, Euler method, Newton method, 1h, Learning outcomes:9 15.The second colloquium (Maxima and Excel), 1h, Learning outcomes:4,5,6,7,8,9
 Required materials  Basic: classroom, blackboard, chalk... General purpose computer laboratory
 Exam literature  Obavezna: 1. M.Orlić Bachler, I. Volarić: Osnove računalnog programa Maxsima, Zagreb, 2020. 2. G. Omura: Uvod u AutoCAD 2010 i AutoCAD LT 2010, Zagreb, 2009. Additional literature: 1. B. Burchard, D. Pitzer AutoCAD 2002: napredne tehnike, Zagreb, 2003. 2. E. Finkelstein: AutoCAD 2012 and AutoCAD LT 2012 Bible, 2012. 3. D. Abbott: AutoCAD, Zagreb, 2007. 4. Maxima: http://maxima.sourceforge.net/ 5. B. Kovačić: Matematički alati u elektrotehnici, udžbenik, Tehničko veleučilište u Zagrebu, Zagreb, 2013. 6. S. Suljagić: Matematika II, skripta, 2006. http://nastava.tvz.hr/ssuljagic/ 7. J. Liberty: Programiranje Visual Basic 2005, Zagreb, 2006. 8. Y. Fain: Programiranje Java, Zagreb, 2011. 9. I. Griffiths, M. Adams, J. Liberty: Programiranje C 4.0, Zagreb, 2011.
 Students obligations  70% of class attendance of the total class number and performed all laboratory exercises In case of less class attendance, valid excuse and submitted obligatory assignments are required.  Knowledge evaluation during semester  Total three preliminary practical exams. 1. preliminary practical exam: eliminatory; pass: 50% od total points; 2. preliminary practical exam: eliminatory; pass: 50% of total points; 3. preliminary practical exam: eliminatory; pass: 50% of total points;
Marks: 50%  62% od total points at both preliminary exams = sufficient (2) 63%  74% od total points at both preliminary exams = good (3) 75%  89% od total points at both preliminary exams = very good (4) 90%  100% od total points at both preliminary exams = excellent (5)
Remark: In valid cases preliminary practical exam can be taken using LMS.
 Knowledge evaluation after semester  Practical exams: pass: 50% of total points; Marks: 50%  62% of total points = sufficient (2) 63%  74% of total points = good (3) 75%  89% of total points = very good (4) 90%  100% of total points = excellent (5)
Remark: In valid cases practical exam can be taken using LMS.
 Student activities:  Aktivnost  ECTS  (Constantly tested knowledge)  1  (Written exam)  1 
 Remark  This course can not be used for final thesis theme  Proposal made by  Mandi Orlić Bachler, Igor Gukov, 17.7.2020. 

+  P:1.mr.sc. Željko Lebo v. pred. P:2.dr.sc. Dalibor Gelo mag.ing.aedif. A:mr.sc. Jure Galić predavač A:dr.sc. Dalibor Gelo mag.ing.aedif. K:mr.sc. Jure Galić predavač K:dr.sc. Dalibor Gelo mag.ing.aedif.  Engineering Mechanics  45+30 (24+0+0+6) (105)  6  184644 
Code WEB/ISVU  26280/184644  ECTS  6  Academic year  2020/2021  Name  Engineering Mechanics  Status  1st semester  Undergraduate professional study in civil engineering (Redovni graditeljstvo)  obligatory course  Department   Teaching mode  Lectures + exercises (auditory + laboratory + seminar + metodology + construction) work at home  45+30 (24+0+0+6) 105  Teachers  Lectures:1. mr.sc. Željko Lebo v. pred. Lectures:2. dr.sc. Dalibor Gelo mag.ing.aedif. Auditory exercises:mr.sc. Jure Galić predavač Auditory exercises:dr.sc. Dalibor Gelo mag.ing.aedif. Construction exercises:mr.sc. Jure Galić predavač Construction exercises:dr.sc. Dalibor Gelo mag.ing.aedif.  Course objectives  Acquiring basic knowledge in structural mechanics, with an emphasis on its use in civil engineering as a basis for proper understanding of professional courses  Learning outcomes:  1.check balance of a material point and body. Level:6 2.calculate required balancing forces and moments for a material point and body subjected to load. Level:6 3.compare state of balance of material points and bodies. Level:6,7 4.calculate internal forces in a straight member. Level:6 5.draw diagrams of internal forces of a straight member. Level:6 6.calculate crosssectional geometrical properties of a member. Level:6 7.analyse stress field, namely the biaxial homogeneous stress field of a straight member. Level:6 8.calculate extreme stress values for given forces within the members crosssection. Level:6 9.analyse state of stress needed to ensure mechanical safety and stability of a straight member. Level:6 10.evaluate strain field of a straight member. Level:6 11.Predict friction force. Level:6,7
 Methods of carrying out lectures  Ex cathedra teaching Case studies Modelling Discussion Questions and answers Basic elements of technical mechanics are explained based on numerical and graphical procedures. The state of equilibrium is studied on design models and, instead of tests, similar examples from natural environment and civil engineering practice are presented.Students are also provided with up to date lecture notes containing additional information.  Methods of carrying out auditory exercises  Group problem solving Traditional literature analysis problem solving with active participation of students  How construction exercises are held  Group problem solving
 Course content lectures  1.Introduction to Technical mechanics. Basic laws and methods. International System of Units., 3h, Learning outcomes:1 2.The concept of force and moments. Force and moment definition and representation., 3h, Learning outcomes:1 3.Equilibrium forces, the material points and body, 3h, Learning outcomes:2,3 4.Equilibrium point and bodies . Equilibrium of bodies in plane., 3h, Learning outcomes:2,3 5.First Colloquium, 2h, Learning outcomes:1,2,3 6.Equilibrium of bar element. The concept of internal forces., 3h, Learning outcomes:2,3,4 7.Linear bar element. Internal forces in linear bar element., 3h, Learning outcomes:2,3,4,5 8.Analyze and drawing of internal forces diagrams., 3h, Learning outcomes:2,3,4,5 9.Differential relation between internal forces and external forces. Concept of concentrated forces and moments., 3h, Learning outcomes:2,3,4,5 10.Mechanics of the solid body. Concept of stress, displacements and deformation. , 3h, Learning outcomes:2,3,4,5 11.Second Colloquium, 3h, Learning outcomes:6,7 12.Deformation fields. Relation between stress and deformations. Hooke low. Biaxial stress fields. Principal stress. Maximal shear deformations., 3h, Learning outcomes:6,7,8,9,10 13.Basic assumptions of bar element mechanics. Relation between internal forces and deformations on the linear bar element. Concept limit stress. , 3h, Learning outcomes:7,8,9,10 14.Friction., 3h, Learning outcomes:11 15.Third Colloquium, 3h, Learning outcomes:6,7,8,9,10,11
 Course content auditory  1.Equilibrium of point in plane., 2h, Learning outcomes:1 2.Equilibrium of bodies in plane., 2h, Learning outcomes:2,3 3.Equilibrium of bodies in plane. Ritter and Culmann method., 2h, Learning outcomes:2,3 4.No classes., 2h 5.Internal forces., 2h, Learning outcomes:4 6.Internal forces., 2h, Learning outcomes:4 7.Internal forces., 2h, Learning outcomes:4 8.Internal forces., 2h, Learning outcomes:4 9.No classes., 2h 10.Center of gravity and moment of inertia., 2h, Learning outcomes:6 11.Moment of inertia, static moment, Steiner, 2h, Learning outcomes:6,7,8,9,10 12.Mohr circles, 2h, Learning outcomes:6,7,8,9,10 13.Friction, 2h, Learning outcomes:11 14.No classes., 2h 15.Preparations for the final exam., 2h, Learning outcomes:1,2,3,4,5,6,7,8,9,10,11
 Course content constructures  1.No classes., 2h 2.No classes., 2h 3.No classes., 2h 4.Constructive exercises for the first colloquium., 2h, Learning outcomes:1,2,3 5.No classes., 2h 6.No classes., 2h 7.No classes., 2h 8.No classes., 2h 9.Constructive exercises for the second colloquium., 2h, Learning outcomes:5 10.No classes., 2h 11.No classes., 2h 12.No classes., 2h 13.No classes., 2h 14.Constructive exercises for the third colloquium., 2h, Learning outcomes:6,7,8,9,10 15.No classes., 2h
 Required materials  Basic: classroom, blackboard, chalk... Overhead projector Problem solving with active participation of students  Exam literature  Obavezna: 1. Ž. Lebo: Separati predavanja na webu 2. H. Werner: Tehnička mehanika, skripta, Zagreb, 1986. 2. Z. Despot: Separati predavanja. 3. V. Šimić: Otpornost materijala I., Školska knjiga, Zagreb, 1992. 4. H. Werner: Mehanika I., HSGI, 2007.
Additional literature: 1. V. Šimić :Otpornost materijala II., Školska knjiga, Zagreb, 1995. 2. Lj. KopričanecMatijevac, Zbirka zadataka iz Tehničke mehanike skripta, na mrežnim stranicama predmeta i u kopiraonici 3. H. Werner: Tehnička mehanika  separati za vježbe u kopiraonici 4. Riješeni primjeri kolokvija i ispitnih zadataka na mrežnim stranicama predmeta
 Students obligations  Class attendance. Minimum of 75 points in three exams.  Knowledge evaluation during semester  Class attendance. Exams: numerical examples, theoretical questions. Minimum 180 points from possible 300 in three colloquiums.
 Knowledge evaluation after semester  Written and werbal exam  Student activities:  Aktivnost  ECTS  (Classes attendance)  2  (Constantly tested knowledge)  2  (Written exam)  1  (Oral exam)  1 
 Remark  This course can not be used for final thesis theme  ISVU equivalents:  22323;  Proposal made by  mr.sc. Željko Lebo v. pred., dr.sc., Dalibor Gelo mag.ing.aedif. 
