Undergraduate university study programme in mathematics (Bachelor level)


 

Year 2

Second-year mentor: Dr. Krešimir Burazin, Associate Professor

Compulsory courses:

Code:M009
Course:Multivariable Calculus
Semester:Winter
Number of classes ~ ECTS:3+2+0 ~ 7
Teacher:Dr. Krešimir Burazin, Associate Professor
Assistant:Jelena Jankov, Ivana Crnjac
Code:M014
Course:Combinatorial and Discrete Mathematics
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Antoaneta Klobučar, Full Professor
Assistant:
Code:M019
Course:Linear Algebra II
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 6
Teacher:Dr. Darija Marković, Assistant Professor
Assistant:Katarina Vincetić
Code:I027
Course:Mathematical Tools
Semester:Winter
Number of classes ~ ECTS:1+2+0 ~ 4
Teacher:Dr. Slobodan Jelić, Assistant Professor
Assistant:
Code:Z003
Course:English/German for Mathematics and Computer Science Students II
Semester:Winter and Summer
Number of classes ~ ECTS:0+0+2 ~ 3, 0+0+2 ~ 3
Teacher:Ivanka Ferčec
Assistant:
Code:Z006
Course:Physical Education
Semester:Winter and Summer
Number of classes ~ ECTS:0+2+0 ~ 1, 0+2+0 ~ 1
Teacher:Dr. Josip Cvenić
Assistant:
Code:I011
Course:Introduction to Data Structures and Algorithms
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Slobodan Jelić, Assistant Professor
Assistant:Luka Borozan
Code:F001
Course:Elementary Physics I
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 4
Teacher:Dr. Branko Vuković, Associate Professor
Assistant:Ivana Štibi
Code:M005
Course:Elementary Geometry
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Zdenka Kolar - Begović, Full Professor
Assistant:Dr. Ljiljana Primorac Gajčić
Code:M015
Course:Complex Analysis
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 6
Teacher:Dr. Krešimir Burazin, Associate Professor
Assistant:Ivana Crnjac
Code:M062
Course:Applications of Differential and Integral Calculus I
Semester:Summer
Number of classes ~ ECTS:1+2+0 ~ 4
Teacher:Dr. Krešimir Burazin, Associate Professor
Assistant:Jelena Jankov
Code:M049
Course:Number Theory
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 6
Teacher:Dr. Mirela Jukić Bokun, Assistant Professor
Assistant:Dr. Ivan Soldo, Assistant Professor
Number of courses: 12, Number of classes ~ ECTS: 24 ~ 31 (Winter), 23 ~ 29 (Summer)


Criteria for enrolment in Year 3: all first-year exams passed and a minimum of 45 ECTS credits achieved in the second year of study, which must obligatorily include ECTS credits allocated to the following courses: Multivariable Calculus, Linear Algebra II and Elementary Geometry.


Year 3

Third-year mentor: Dr. Mihaela Ribičić-Penava, Associate Professor

Compulsory courses:

Code:F002
Course:Elementary Physics II
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 4
Teacher:Dr. Branko Vuković, Associate Professor
Assistant:Ivana Štibi
Code:M035
Course:Ordinary Differential Equations
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Krešimir Burazin, Associate Professor
Assistant:Ivana Crnjac
Code:I001
Course:Fundamentals of Databases
Semester:Winter
Number of classes ~ ECTS:1+1+1 ~ 4
Teacher:Dr. Slobodan Jelić, Assistant Professor
Assistant:Mateja Đumić
Code:M043
Course:Real Analysis
Semester:Winter
Number of classes ~ ECTS:4+2+0 ~ 7
Teacher:Dr. Dragan Jukić, Full Professor
Assistant:Jelena Jankov
Code:I017
Course:Introduction to Computer Networks and Services
Semester:Winter
Number of classes ~ ECTS:1+1+0 ~ 3
Teacher:Dr. Domagoj Ševerdija, Assistant Professor
Assistant:
Code:M066
Course:Vector Spaces
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Ivan Matić, Associate Professor
Assistant:
Code:M001
Course:Algebra
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 6
Teacher:Dr. Ivan Matić, Associate Professor
Assistant:Darija Brajković
Code:M002
Course:Analytic Geometry
Semester:Summer
Number of classes ~ ECTS:2+1+0 ~ 4
Teacher:Dr. Tomislav Marošević, Assistant Professor
Assistant:Dr. Ljiljana Primorac Gajčić
Code:M067
Course:Numerical Mathematics
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Rudolf Scitovski, Full Professor
Assistant:Ivan Papić
Code:M063
Course:Applications of Calculus II
Semester:Summer
Number of classes ~ ECTS:1+2+0 ~ 4
Teacher:Dr. Snježana Majstorović, Assistant Professor
Assistant:
Code:M022
Course:Introduction to Set Theory and Mathematical Logic
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Mihaela Ribičić Penava, Associate Professor
Assistant:
Code:M050
Course:Introduction to Probability and Statistics
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Mirta Benšić, Full Professor
Assistant:Ivan Papić
Number of courses: 12, Number of classes ~ ECTS: 23 ~ 28 (Winter), 22 ~ 29 (Summer)


In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below.

Elective courses::

Code:M064
Course:Inequalities
Semester:Winter
Number of classes ~ ECTS:1+1+0 ~ 3
Teacher:Dr. Mihaela Ribičić Penava, Associate Professor
Assistant:
Code:M065
Course:Convex Sets
Semester:Summer
Number of classes ~ ECTS:1+0+1 ~ 3
Teacher:Dr. Dragan Jukić, Full Professor
Assistant:

Criteria for enrolment in Year 4: all second-year exams passed and a minimum of 45 ECTS credits achieved in the third year of study, which must obligatorily include ECTS credits allocated to the following courses: Introduction to Probability and Statistics and Fundamentals of Databases.


Year 4

Fourth-year mentor: Dr. Darija Marković, Assistant Professor

Compulsory courses:

Code:M011
Course:Graphs
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Snježana Majstorović, Assistant Professor
Assistant:
Code:M029
Course:Didactics of Mathematics I
Semester:Winter and Summer
Number of classes ~ ECTS:2+1+1 ~ 6, 2+1+1 ~ 6
Teacher:Dr. Darija Marković, Assistant Professor
Assistant:Katarina Vincetić
Code:M068
Course:Statistical Practice
Semester:Winter
Number of classes ~ ECTS:1+2+1 ~ 6
Teacher:Dr. Danijel Grahovac, Assistant Professor
Assistant:
Code:I026
Course:Web Programming and Applications
Semester:Winter
Number of classes ~ ECTS:1+2+0 ~ 4
Teacher:Dr. Ivan Soldo, Assistant Professor
Assistant:Petar Taler, Msc
Code:M031
Course:Metric Spaces
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 6
Teacher:Dr. Krešimir Burazin, Associate Professor
Assistant:Ivana Crnjac
Number of courses: 5, Number of classes ~ ECTS: 15 ~ 21 (Winter), 8 ~ 12 (Summer)


In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below.

Elective courses::

Code:M008
Course:Financial and Actuarial Mathematics
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Mirela Jukić Bokun, Assistant Professor
Assistant:
Code:M036
Course:Introduction to Measure Theory
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Dragan Jukić, Full Professor
Assistant:Luka Borozan
Code:M052
Course:Probability
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 6
Teacher:Dr. Nenad Šuvak, Associate Professor
Assistant:
Code:I024
Course:Scientific Computing
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Ninoslav Truhar, Full Professor
Assistant:
Code:M059
Course:Data Clustering and Applications
Semester:Summer
Number of classes ~ ECTS:2+1+1 ~ 5
Teacher:Dr. Rudolf Scitovski, Full Professor
Assistant:Dr. Snježana Majstorović, Assistant Professor
Code:M053
Course:Convex Functions
Semester:Summer
Number of classes ~ ECTS:1+1+0 ~ 4
Teacher:Dr. Mihaela Ribičić Penava, Associate Professor
Assistant:
Code:M020
Course:Linear Programming
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Kristian Sabo, Full Professor
Assistant:
Code:I019
Course:Algorithm Complexity
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Domagoj Matijević, Associate Professor
Assistant:Dr. Domagoj Ševerdija, Assistant Professor
Code:M048
Course:Decision Theory
Semester:Summer
Number of classes ~ ECTS:1+0+1 ~ 4
Teacher:Dr. Zoran Tomljanović, Associate Professor
Assistant:
Code:M058
Course:Introduction to Integral Theory
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 5
Teacher:Dr. Dragan Jukić, Full Professor
Assistant:

Criteria for enrolment in Year 5: all third-year exams passed and a minimum of 45 ECTS credits achieved in the fourth year of study, which must obligatorily include ECTS credits allocated to the following courses: Didactics of Mathematics I, Algorithm Complexity and Statistical Practice.


Year 5

Fifth-year mentor: Dr. Darija Marković, Assistant Professor

Compulsory courses:

Code:Z001
Course:Graduate Seminar
Semester:Winter and Summer
Number of classes ~ ECTS:0+0+2 ~ 3, 0+0+2 ~ 3
Teacher:Dr. Ivan Matić, Associate Professor
Assistant:
Code:M017
Course:Constructive Geometry
Semester:Winter
Number of classes ~ ECTS:2+1+0 ~ 4
Teacher:Dr. Zdenka Kolar - Begović, Full Professor
Assistant:Dr. Ljiljana Primorac Gajčić
Code:M027
Course:Practicum in Mathematics
Semester:Winter
Number of classes ~ ECTS:2+0+2 ~ 6
Teacher:Dr. Rudolf Scitovski, Full Professor
Assistant:
Code:I005
Course:Teaching Informatics
Semester:Winter
Number of classes ~ ECTS:2+1+0 ~ 4
Teacher:Dr. Domagoj Ševerdija, Assistant Professor
Assistant:
Code:M030
Course:Didactics of Mathematics II
Semester:Winter and Summer
Number of classes ~ ECTS:1+2+1 ~ 5, 1+2+1 ~ 5
Teacher:Dr. Mirela Jukić Bokun, Assistant Professor
Assistant:Katarina Vincetić, Dr. Ljiljana Primorac Gajčić
Code:M040
Course:History of Mathematics
Semester:Winter and Summer
Number of classes ~ ECTS:2+0+0 ~ 3, 2+0+0 ~ 3
Teacher:Dr. Tomislav Marošević, Assistant Professor
Assistant:
Code:I007
Course:Basics of Artificial Intelligence
Semester:Summer
Number of classes ~ ECTS:2+2+0 ~ 6
Teacher:Dr. Darija Marković, Assistant Professor
Assistant:Rebeka Čorić
Number of courses: 7, Number of classes ~ ECTS: 18 ~ 25 (Winter), 12 ~ 17 (Summer)


In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below.

Elective courses::

Code:I004
Course:Cryptography and System Security
Semester:Winter
Number of classes ~ ECTS:2+2+0 ~ 6
Teacher:Dr. Ivan Soldo, Assistant Professor
Assistant:
Code:M025
Course:Mathematical Models
Semester:Winter
Number of classes ~ ECTS:1+0+1 ~ 3
Teacher:Dr. Dragan Jukić, Full Professor
Assistant:
Code:M037
Course:Operational Research
Semester:Winter
Number of classes ~ ECTS:1+0+1 ~ 3
Teacher:Dr. Tomislav Marošević, Assistant Professor
Assistant:
Code:M024
Course:Mathematical Aspects of Electoral Systems
Semester:Summer
Number of classes ~ ECTS:1+0+1 ~ 3
Teacher:Dr. Tomislav Marošević, Assistant Professor
Assistant:
Code:M028
Course:Optimization Methods
Semester:Summer
Number of classes ~ ECTS:2+1+1 ~ 6
Teacher:Dr. Ninoslav Truhar, Full Professor
Assistant:Dr. Suzana Miodragović
Code:I018
Course:Computer Laboratory
Semester:Summer
Number of classes ~ ECTS:1+1+1 ~ 3
Teacher:Dr. Zoran Tomljanović, Associate Professor
Assistant:
Code:M056
Course:Pupils' Mathematics Competitions
Semester:Summer
Number of classes ~ ECTS:1+0+1 ~ 3
Teacher:Dr. Ivan Matić, Associate Professor
Assistant:Mateja Đumić

Thesis topics are approved at the Department of Mathematics Council session.

Thesis ECTS credits are included in the course Graduate Seminar.