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Faculty of Science and Mathematics / MATHEMATICS / OPTIMAL CONTROL

Course:OPTIMAL CONTROL/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
5729Obavezan153+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / MATHEMATICAL MODELING

Course:MATHEMATICAL MODELING/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
5762Obavezan153+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / RANDOM PROCESSES

Course:RANDOM PROCESSES/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6904Obavezan153+1+0
ProgramsMATHEMATICS
Prerequisites
Aims Adopt the basic concepts of the theory of random processes, trained for solving tasks on the process and learn how practices are modeled by random processes.
Learning outcomes After passing this exam will be able to: 1. Precisely define the stochastic process. 2. Formulate and comment on Kolmogorovs theorem on the existence of the process. 3. Indicate the most important class of the process. 4. Point out the practices that are modeled by random processes. 5. Resolves tasks of medium difficulty.
Lecturer / Teaching assistantGoran Popivoda and Anđela Mijanović
MethodologyLectures, consultations and homeworks.
Plan and program of work
Preparing weekPreparation and registration of the semester
I week lecturesConditional probability and expectation in relation to breaking.
I week exercises
II week lecturesRandom walk. Probability of ruin. Law of inverse sine.
II week exercises
III week lecturesMartingales and their application in random walks.
III week exercises
IV week lecturesStochastic processes, basic concepts. Kolmogorov theorem.
IV week exercises
V week lecturesStationary random processes. Spectral representation of stationary processes.
V week exercises
VI week lecturesFirst colloquium.
VI week exercises
VII week lecturesFree.
VII week exercises
VIII week lecturesMarkov chains. Ergodic theorem. Strictly Marcovian property.
VIII week exercises
IX week lecturesPoisson random process and its application in actuarial mathematics.
IX week exercises
X week lecturesGaussian processes.
X week exercises
XI week lecturesBrownian movement. The principle of reflection. The first time to achieve a specified level.
XI week exercises
XII week lecturesMartingale methods. Stochastic integrals.
XII week exercises
XIII week lecturesIntegral Ito.
XIII week exercises
XIV week lecturesMultidimensional processes.
XIV week exercises
XV week lecturesSecond colloquium.
XV week exercises
Student workload
Per weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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 Class attendance, taking the colloquiums and last exam.
Consultations
LiteratureMario Lefebvre: Applied Stochastic Processes, Springer.
Examination methodsTwo colloquiums, maximum points are 30, each. Final exam, maximum points are 40. Mark E: from 50 to 59 points, mark D: from 60 to 69 points, mark C: from 70 to 79 points, mark B: from 80 to 89 points, mark A: from 90 to 100 points.
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / FINANCIAL MATHEMATICS 1

Course:FINANCIAL MATHEMATICS 1/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6906Obavezan153+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / EQUATIONS OF MATHEMATICAL PHYSICS

Course:EQUATIONS OF MATHEMATICAL PHYSICS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6912Obavezan153+1+0
ProgramsMATHEMATICS
Prerequisites No
Aims After the course, students will have knowledge of modelling of social and natural phenomeona through partial differential equations
Learning outcomes After passing this exam, students: Apply basic principles of modelling of natural and social phenomena partial differential equations. Customize odds partial differential equations according to the considered situation. Prove the existence and uniqueness of solutions of known nonlinear partial differential equations. Identifies type of partial differential equations and finds its numerical solution. An interpretation of solutions of equations as a description of the natural or social phenomenon that is modelled.
Lecturer / Teaching assistantDarko Mitrović
MethodologyAttending lectures, doing homework, and attending consultations
Plan and program of work
Preparing weekPreparation and registration of the semester
I week lecturesIntroductory notions.
I week exercisesSolving of basic PDEs
II week lecturesClassification of partial differential equations of second order
II week exercises Classification of partial differential equations of second order
III week lecturesParabolic equations. Heat conduction. Diffusion. Cauchy problem.
III week exercisesHeat conduction. Diffusion. Cauchy problem.
IV week lecturesSolution of Cauchy problem by Fourier transform methods. Boundary problem of Sturm-Liouville.
IV week exercisesSolution of Cauchy problem by Fourier transform methods.
V week lecturesMaximum principle. Non-homogeneous heat equation. Examples.
V week exercisesPreparation for I colloquium
VI week lecturesI colloquium
VI week exercisesPreparation for the correction of I colloquium
VII week lecturesCorrection of I colloquium
VII week exercisesDefence of homework
VIII week lectures Hyperbolic equations. Wire equation. Cauchy problem. Method of characteristics
VIII week exercisesCauchy problem. Method of characteristics
IX week lecturesEnergy inequality. Kirchoff formulas.
IX week exercisesEnergy inequality. Kirchoff formulas.
X week lecturesWave propagation.
X week exercisesWave propagation.
XI week lecturesElliptic equations. Electrodynamics. Laplace and Poisson equations.
XI week exercisesLaplace and Poisson equations.
XII week lecturesDirichlet and Neumann problems. Green function.
XII week exercisesDirichlet and Neumann problems.
XIII week lecturesUniqueness. Non-differentiable and discontinuous solutions to PDEs.
XIII week exercisesPreparation for II colloquium
XIV week lecturesII colloquium
XIV week exercisesPreparation for correction of II colloquium
XV week lecturesCorrection of II colloquium
XV week exercisesDefence of homework
Student workload6 hours 40 minutes / week
Per weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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 Attending lectures, doing homework, and attending consultations
Consultations2 hours/week
LiteratureI. Aganović, V. Veselić Parcijalne diferencijalne jednadžbe, Element, Zagreb, 1987. F. John Partial Differential Equations, Springer Verlag, 1982. Skripta predavanja
Examination methods2 coloquims 30 points each (60 points). 2 dhomeworks 4 point each (8 points). Attending classes: 2 points. Final exam - 30 points. Success level is 50 points.
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / DIFFERENTIAL GEOMETRY ON MANIFOLDS

Course:DIFFERENTIAL GEOMETRY ON MANIFOLDS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6923Obavezan153+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / CLASSICAL MECHANICS

Course:CLASSICAL MECHANICS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6924Obavezan153+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / TEACHING MATHEMATICS 1

Course:TEACHING MATHEMATICS 1/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6927Obavezan153+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / PEDAGOGY WITH DIDACTICS

Course:PEDAGOGY WITH DIDACTICS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6988Obavezan153++0
ProgramsMATHEMATICS
Prerequisites There are no conditions for applying and studying the subject.
Aims o Get to know the basic concepts of pedagogy and didactics o Introduce into pedagogical and didactic thinking o Get to know the phenomenon of education from different points of view o Get to know the basic didactic principles, organization and constitutive elements of teaching o Apply acquired knowledge in solving educational and teaching problems
Learning outcomes o Correct interpretation and interpretation of basic pedagogical terms and aspects/assumptions/concepts of education; o Knowledge and understanding of historical and contemporary definitions of pedagogical science; o Demonstrating knowledge and understanding of the main features of the educational phenomenon, the structure of the educational process, basic educational areas, general principles, educational methods and means, educational communication; o Demonstrating knowledge and understanding of basic didactic principles, organization and constitutive elements of teaching; o Critical analysis of relations and relationships in the environment with primary, secondary, positive and negative influences in the context of modern pedagogical requirements and lifelong education/learning.
Lecturer / Teaching assistantProf. dr Saša Milić
MethodologyLectures, workshops and debates. Preparation of one essay on a given topic from one of the content areas of the course. Studying for tests and final exams. Consultations.
Plan and program of work
Preparing weekPreparation and registration of the semester
I week lecturesSocio-historical dimenssion of education
I week exercises
II week lecturesPedagogy - subject and area of research - Constitutive elements, subject, tasks
II week exercises
III week lecturesPedagogical disciplines or branches; Basic pedagogical concepts;
III week exercises
IV week lecturesClassics of Pedagogy
IV week exercises
V week lecturesContemporary requirements of pedagogy - Education for the XXI century / interculturalism
V week exercises
VI week lecturesContemporary requirements of pedagogy - Education for the XXI century / inclusivity
VI week exercises
VII week lecturesI test/colloquium
VII week exercises
VIII week lecturesConcept and types of teaching, Forms of teaching work
VIII week exercises
IX week lecturesPrinciples of teaching work - individualization, differentiation
IX week exercises
X week lecturesPrinciples of teaching work - democratization, cooperative learning
X week exercises
XI week lectures Teaching planning; Evaluation of student achievements
XI week exercises
XII week lectures Contemporary education models /Reggio Emilia, Waldorf/
XII week exercises
XIII week lecturesContemporary education models /Montessori, Step by Step/
XIII week exercises
XIV week lecturesII test/colloquium
XIV week exercises
XV week lecturesFinal exam
XV week exercises
Student workloado Correct interpretation and interpretation of basic pedagogical terms and aspects/assumptions/concepts of education; o Knowledge and understanding of historical and contemporary definitions of pedagogical science; o Demonstrating knowledge and understanding of the main features of the educational phenomenon, the structure of the educational process, basic educational areas, general principles, educational methods and means, educational communication; o Demonstrating knowledge and understanding of basic didactic principles, organization and constitutive elements of teaching; o Critical analysis of relations and relationships in the environment with primary, secondary, positive and negative influences in the context of the whole class and final exam: (5 hours and 30 min.) x 16 = 88 hours Necessary preparations before the beginning of the semester (administration, registration, certification) 2 x (5 hours and 30 minutes) = 11 hours Total workload for the course 4x30 = 120 hours Supplementary work for exam preparation in the make-up exam period, including taking the make-up exam from 0 a.m. to 9 p.m. (remaining time from the first two items to the total load for the courses) Load structure: 88 hours (Teaching) + 11 hours (Preparation) + 21 hours (Additional work) specific pedagogic requirements and lifelong education/learning.
Per weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 sat(a) practical classes
0 excercises
3 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, participate in debates and take two tests. Students prepare one essay each and participate in a debate after the presentation of the essay.
ConsultationsMonday 11:30, room no. 227
Literature1. Giesecke, H. (1993), Uvod u pedagogiju. Zagreb: Educa.(odabrana poglavlja) 2. Gudjons, H. (1994), Pedagogija-temeljna znanja. Zagreb: Educa.(odabrana poglavlja) 3. Mušanović, M., Lukaš, M (2011), Osnove pedagogije. Rijeka: Hrvatsko futurološko društvo (odabrana poglavlja) 4. Trnavac, N. i Đorđević, J. (1998), Pedagogija. Naučna knjiga. Beograd. 5. Krulj, R. , Kačapor, S. , Kulić, R. , (2002), Pedagogija. Svet knjige. Beograd
Examination methods- Two tests with 20 points (Total 40 points), - Highlighting during lectures and participation in debates 5 points,: Essay with 6 points, - Final exam with 49 points. A passing grade is obtained if at least 51 points are accumulated cumulatively
Special remarksNo
Commenthttp://www.ffri.uniri.hr/files/studijskiprogrami/PED_program_preddipl_1P_2014-2015.pdf
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / PSYCHOLOGY

Course:PSYCHOLOGY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
5728Obavezan253++0
ProgramsMATHEMATICS
Prerequisites No prerequisites.
Aims This course is aimed to introduce student with relevant theoretical concepts of applied psychology and psychological literature.
Learning outcomes After passing this exam, a student will be able to: 1. explains basic psychological concepts and theories; 2. independently analyzes the mental processes, functioning personality and psychological development; 3. identify psychological disorders and mental health prevention measures; 4. promote the values and behaviors that support human rights and individuality; 5. apply psychological findings in practical work; 6. self-evaluate their own and others work.
Lecturer / Teaching assistantAndrija Dulovic
Methodology
Plan and program of work
Preparing weekPreparation and registration of the semester
I week lecturesThe subject of psychology considered by the dominant psychological schools (structuralism, functionalism, behaviorism, humanistic and cognitive psychology).
I week exercises
II week lecturesPsychological methods> 1. Basic methodological principles 2. Psychological instruments
II week exercises
III week lecturesIntelligence> 1. The nature of intelligence and its measurement 2. Theories of inteligence.
III week exercises
IV week lecturesIntellectual development.
IV week exercises
V week lecturesMoral development. Language development.
V week exercises
VI week lecturesCognitive processes> 1. Observation 2. Opinion
VI week exercises
VII week lecturesFirst test
VII week exercises
VIII week lecturesCognitive processes> Learning – special forms.
VIII week exercises
IX week lecturesCognitive processes> Remembering and forgetting
IX week exercises
X week lecturesNeurophysiological and neurochemical basis of cognitive processes
X week exercises
XI week lectures1. Emotion and motivation 2. The frustrations, conflicts, stress
XI week exercises
XII week lecturesPersonality as a psychological construct: the theory of personality.
XII week exercises
XIII week lecturesThe dynamic and depth theories of personality
XIII week exercises
XIV week lecturesSecond test
XIV week exercises
XV week lecturesMental hygiene: Normality, disorders, psychotherapy
XV week exercises
Student workloadWeekly 5 credits x 40/30 = 7 hours structure: 2 hours for teaching 2 hours of exercise per semester Teaching and the final exam: Necessary preparation (before semester): 2 x 5 hours and 20 min. = 10 hours and 40 minutes total hours for the course: 4 x 30 = 120 hours Additional hours: from 0 to 30 hours structure: 85 hours and 20 minutes. (Lectures) + 10 hours and 40 minutes. (preparation) + 24 hours (additional work)
Per weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 sat(a) practical classes
0 excercises
3 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 and to work tests.
ConsultationsGroup or individual (once a week)
LiteratureLiteratura: Ljubomir Žiropadja: Psihologija, „Cigoja štampa“ Beograd, 2004.
Examination methods1 test /20 points 2 test/ 20 points School attendance /10 points Final exam /50 points.
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / THEORY OF ALGORITHM COMPLEXITY

Course:THEORY OF ALGORITHM COMPLEXITY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
5755Obavezan253+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / MATHEMATICAL SOFTWARE PACKAGES

Course:MATHEMATICAL SOFTWARE PACKAGES/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6916Obavezan252+2+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer 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:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / GEOMETRY

Course:GEOMETRY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6926Obavezan253+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / TEACHING MATHEMATICS 2

Course:TEACHING MATHEMATICS 2/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
6929Obavezan253+1+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / THE PHILOSOPHY OF THE MATEMATICS

Course:THE PHILOSOPHY OF THE MATEMATICS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
8974Obavezan252+2+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer 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:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS / FOUNDATION OF MATHEMATICS

Course:FOUNDATION OF MATHEMATICS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
9677Obavezan252+2+0
ProgramsMATHEMATICS
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer 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:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points
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