Graduate University Programme in Applied Mathematics

Official length of programme

Two-year programme, 120 ECTS credits.

Access requirements

Applicants must have completed an Undergraduate university programme (first cycle) with at least 180 ECTS credits, providing them with relevant competencies in mathematics and computer science.

Name of qualification

Master of Science in Mathematics

Programme requirements

The Graduate University Programme in Applied Mathematics is the final part of the fundamental university education of specialists in applied mathematics. It provides the second cycle of university education for future mathematicians within the 3 + 2 Bologna system. The first cycle of this education is provided by the three-year Undergraduate University Programme in Mathematics or any related undergraduate or graduate programme in which students attain the competencies in mathematics and computer science required for enrolment in this programme.
The Graduate University Programme in Applied Mathematics, through its course contents as well as its forms and methods of teaching, provides for the acquisition of fundamental knowledge, the understanding of results in applied mathematics, and the application of the most important fields of theoretical mathematics. In mastering this programme the student acquires competencies essential to the integration of applied mathematicians in modern currents of technological development.
In this course of study students become acquainted with the standard program of functional and numerical analysis, numerical methods for ordinary and partial differential equations, and the fundamentals of optimisation and stochastic processes. A key part of the study is dedicated to the development of competence in mathematical modelling. The methods of mathematical modelling are elaborated in detail in the context of the problems of mathematical physics (specifically, fluid mechanics and elasticity theory), as well as in other specific areas of applied mathematics (e.g. material transport in ecology and in oil engineering, mathematical biology, control theory, database and Internet modelling, etc.) Through the practical tasks of the programme, students become acquainted with the entire process of solving problems from the real world, consisting of the creation of their mathematical model, its analysis, the solution of the appropriate mathematical (analytical, numerical, and computational) methods and tools, which sometimes need to be developed independently, and finally, the interpretation of the obtained results. The programme also provides a good basis for their further self-education in mathematics, as well as in sciences and other fields where it is applied.

Professional status

Holders of the degree of Master of Mathematics in Applied Mathematics are qualified for employment in the scientific research and higher education system (universities, polytechnics, research institutes) in entrance-level teaching or research positions in mathematics, and also as collaborators in research in mathematics and other sciences (natural and technical sciences, eco-
nomics, medicine, etc.). They are especially qualified for occupations in business and the service industry (industrial and technical development institutes and departments), where there is a demand for the skills of mathematical modelling and the application of analytical and numerical methods to other fields.

Access to further study

After completing this graduate university programme, students are qualified for postgraduate (doctoral or specialist) programmes at the Department of Mathematics, in accordance with the enrolment conditions for the academic year in which they apply. The received knowledge and acquired skills also qualify students for continued study in related postgraduate (doctoral or specialist) programmes at other higher education institutions. The conditions of enrolment in postgraduate programmes at other higher education institutions are determined by those institutions.


Applied Mathematics

1. semester, 1. year
ECTS Mandatory courses English level Semester workload Sem INFO
5.0 Normed spaces (45653)
Gogić, I.
1,0,0
45
(30L+15AE)
1 INFO
5.0 Numerical analysis 1 (45654)
Bujanović, Z.
1,0,0
45
(30L+15AE)
1 INFO
5.0 Partial differential equations 1 (45652)
Antonić, N.
1,0,0
45
(30L+15AE)
1 INFO
5.0 Scientific computing 1 (45655)
Bosner, N.
1,0,0
60
(15L+45AE)
1 INFO
ECTS Elective module Control Theory
=> Izborni modul Teorija upravljanja
English level Semester workload Sem INFO
5.0 Introduction to control theory (239813)
Bujanović, Z.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Linear systems theory (239814) *
Nakić, I.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Nonlinear analysis and applications
=> Izborni modul Nelinearna analiza i primjene
English level Semester workload Sem INFO
5.0 Nonlinear analysis and applications 1 (239819)
Muha, B.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Nonlinear analysis and applications 2 (239820) *
Erceg, M.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Parallel computing
=> Izborni modul Paralelno računanje
English level Semester workload Sem INFO
5.0 Applications of parallel computers (45664) *
Jurak, M.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
5.0 Introduction to parallel computing (45663)
Bosner, N.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
ECTS Facultative courses
=> Fakultativni kolegiji - Primijenjena matematika
English level Semester workload Sem INFO
4.0 Internship (252486)
Bašić, M.; Grubišić, L.
- 120
(120PP)
1, 2, 3, 4 INFO
2.0 Research in advanced mathematics (252487)
Erceg, M.; Nakić, I.
- 15
(15L)
1, 2, 3, 4 INFO
3.0 Students' competitions in mathematics (133310) *
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
1, 2, 3, 4 INFO
2. semester, 1. year
ECTS Mandatory courses English level Semester workload Sem INFO
5.0 Numerical analysis 2 (45658)
Marušić, M.
1,0,0
45
(30L+15AE)
2 INFO
5.0 Operators on normed spaces (45657)
Gogić, I.
1,0,0
45
(30L+15AE)
2 INFO
5.0 Partial differential equations 2 (45656)
Antonić, N.
1,0,0
45
(30L+15AE)
2 INFO
5.0 Scientific computing 2 (45659)
Bosner, N.
1,0,0
60
(15L+45AE)
2 INFO
ECTS Elective module Control Theory
=> Izborni modul Teorija upravljanja
English level Semester workload Sem INFO
5.0 Introduction to control theory (239813) *
Bujanović, Z.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Linear systems theory (239814)
Nakić, I.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Nonlinear analysis and applications
=> Izborni modul Nelinearna analiza i primjene
English level Semester workload Sem INFO
5.0 Nonlinear analysis and applications 1 (239819) *
Muha, B.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Nonlinear analysis and applications 2 (239820)
Erceg, M.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Parallel computing
=> Izborni modul Paralelno računanje
English level Semester workload Sem INFO
5.0 Applications of parallel computers (45664)
Jurak, M.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
5.0 Introduction to parallel computing (45663) *
Bosner, N.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
ECTS Facultative courses
=> Fakultativni kolegiji - Primijenjena matematika
English level Semester workload Sem INFO
4.0 Internship (252486)
Bašić, M.; Grubišić, L.
- 120
(120PP)
1, 2, 3, 4 INFO
2.0 Research in advanced mathematics (252487) *
Erceg, M.; Nakić, I.
- 15
(15L)
1, 2, 3, 4 INFO
3.0 Students' competitions in mathematics (133310)
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
1, 2, 3, 4 INFO
3. semester, 2. year
ECTS Mandatory courses English level Semester workload Sem INFO
5.0 Introduction to optimization (46268)
Erceg, M.; Vrdoljak, M.
1,0,0
45
(30L+15AE)
3 INFO
5.0 Markov chains (92929)
Planinić, H.
1,0,0
60
(30L+30AE)
3 INFO
5.0 Numerical solution of partial differential equations 1 (92927)
Jurak, M.
1,0,0
45
(45L)
3 INFO
5.0 Theory of elasticity (92925)
Tambača, J.
1,0,0
45
(45L)
3 INFO
ECTS Elective module Control Theory
=> Izborni modul Teorija upravljanja
English level Semester workload Sem INFO
5.0 Introduction to control theory (239813)
Bujanović, Z.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Linear systems theory (239814) *
Nakić, I.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Nonlinear analysis and applications
=> Izborni modul Nelinearna analiza i primjene
English level Semester workload Sem INFO
5.0 Nonlinear analysis and applications 1 (239819)
Muha, B.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Nonlinear analysis and applications 2 (239820) *
Erceg, M.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Parallel computing
=> Izborni modul Paralelno računanje
English level Semester workload Sem INFO
5.0 Applications of parallel computers (45664) *
Jurak, M.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
5.0 Introduction to parallel computing (45663)
Bosner, N.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
ECTS Facultative courses
=> Fakultativni kolegiji - Primijenjena matematika
English level Semester workload Sem INFO
4.0 Internship (252486)
Bašić, M.; Grubišić, L.
- 120
(120PP)
1, 2, 3, 4 INFO
2.0 Research in advanced mathematics (252487)
Erceg, M.; Nakić, I.
- 15
(15L)
1, 2, 3, 4 INFO
3.0 Students' competitions in mathematics (133310) *
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
1, 2, 3, 4 INFO
4. semester, 2. year
ECTS Mandatory courses English level Semester workload Sem INFO
5.0 Fluid mechanics (92931)
Muha, B.
1,0,0
45
(45L)
4 INFO
10.0 Master's thesis (61488)
- 1
(1S)
4 INFO
5.0 Numerical solution of partial differential equations 2 (92930)
Jurak, M.
1,0,0
45
(45L)
4 INFO
ECTS Elective module Control Theory
=> Izborni modul Teorija upravljanja
English level Semester workload Sem INFO
5.0 Introduction to control theory (239813) *
Bujanović, Z.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Linear systems theory (239814)
Nakić, I.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Nonlinear analysis and applications
=> Izborni modul Nelinearna analiza i primjene
English level Semester workload Sem INFO
5.0 Nonlinear analysis and applications 1 (239819) *
Muha, B.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Nonlinear analysis and applications 2 (239820)
Erceg, M.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Parallel computing
=> Izborni modul Paralelno računanje
English level Semester workload Sem INFO
5.0 Applications of parallel computers (45664)
Jurak, M.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
5.0 Introduction to parallel computing (45663) *
Bosner, N.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
ECTS Facultative courses
=> Fakultativni kolegiji - Primijenjena matematika
English level Semester workload Sem INFO
4.0 Internship (252486)
Bašić, M.; Grubišić, L.
- 120
(120PP)
1, 2, 3, 4 INFO
2.0 Research in advanced mathematics (252487) *
Erceg, M.; Nakić, I.
- 15
(15L)
1, 2, 3, 4 INFO
3.0 Students' competitions in mathematics (133310)
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
1, 2, 3, 4 INFO
1. semester, 1. year
ECTS Mandatory courses English level Semester workload Sem INFO
5.0 Normed spaces (45653)
Gogić, I.
1,0,0
45
(30L+15AE)
1 INFO
5.0 Numerical analysis 1 (45654)
Bujanović, Z.
1,0,0
45
(30L+15AE)
1 INFO
5.0 Partial differential equations 1 (45652)
Antonić, N.
1,0,0
45
(30L+15AE)
1 INFO
5.0 Scientific computing 1 (45655)
Bosner, N.
1,0,0
60
(15L+45AE)
1 INFO
ECTS Elective module Control Theory
=> Izborni modul Teorija upravljanja
English level Semester workload Sem INFO
5.0 Introduction to control theory (239813)
Bujanović, Z.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Linear systems theory (239814) *
Nakić, I.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Nonlinear analysis and applications
=> Izborni modul Nelinearna analiza i primjene
English level Semester workload Sem INFO
5.0 Nonlinear analysis and applications 1 (239819)
Muha, B.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Nonlinear analysis and applications 2 (239820) *
Erceg, M.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Parallel computing
=> Izborni modul Paralelno računanje
English level Semester workload Sem INFO
5.0 Applications of parallel computers (45664) *
Jurak, M.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
5.0 Introduction to parallel computing (45663)
Bosner, N.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
ECTS Facultative courses
=> Fakultativni kolegiji - Primijenjena matematika
English level Semester workload Sem INFO
4.0 Internship (252486)
Bašić, M.; Grubišić, L.
- 120
(120PP)
1, 2, 3, 4 INFO
2.0 Research in advanced mathematics (252487)
Erceg, M.; Nakić, I.
- 15
(15L)
1, 2, 3, 4 INFO
3.0 Students' competitions in mathematics (133310) *
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
1, 2, 3, 4 INFO
2. semester, 1. year
ECTS Mandatory courses English level Semester workload Sem INFO
5.0 Numerical analysis 2 (45658)
Marušić, M.
1,0,0
45
(30L+15AE)
2 INFO
5.0 Operators on normed spaces (45657)
Gogić, I.
1,0,0
45
(30L+15AE)
2 INFO
5.0 Partial differential equations 2 (45656)
Antonić, N.
1,0,0
45
(30L+15AE)
2 INFO
5.0 Scientific computing 2 (45659)
Bosner, N.
1,0,0
60
(15L+45AE)
2 INFO
ECTS Elective module Control Theory
=> Izborni modul Teorija upravljanja
English level Semester workload Sem INFO
5.0 Introduction to control theory (239813) *
Bujanović, Z.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Linear systems theory (239814)
Nakić, I.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Nonlinear analysis and applications
=> Izborni modul Nelinearna analiza i primjene
English level Semester workload Sem INFO
5.0 Nonlinear analysis and applications 1 (239819) *
Muha, B.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Nonlinear analysis and applications 2 (239820)
Erceg, M.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Parallel computing
=> Izborni modul Paralelno računanje
English level Semester workload Sem INFO
5.0 Applications of parallel computers (45664)
Jurak, M.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
5.0 Introduction to parallel computing (45663) *
Bosner, N.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
ECTS Facultative courses
=> Fakultativni kolegiji - Primijenjena matematika
English level Semester workload Sem INFO
4.0 Internship (252486)
Bašić, M.; Grubišić, L.
- 120
(120PP)
1, 2, 3, 4 INFO
2.0 Research in advanced mathematics (252487) *
Erceg, M.; Nakić, I.
- 15
(15L)
1, 2, 3, 4 INFO
3. semester, 2. year
ECTS Mandatory courses English level Semester workload Sem INFO
5.0 Introduction to optimization (46268)
Erceg, M.; Vrdoljak, M.
1,0,0
45
(30L+15AE)
3 INFO
5.0 Markov chains (92929)
Planinić, H.
1,0,0
60
(30L+30AE)
3 INFO
5.0 Numerical solution of partial differential equations 1 (92927)
Jurak, M.
1,0,0
45
(45L)
3 INFO
5.0 Theory of elasticity (92925)
Tambača, J.
1,0,0
45
(45L)
3 INFO
ECTS Elective module Control Theory
=> Izborni modul Teorija upravljanja
English level Semester workload Sem INFO
5.0 Introduction to control theory (239813)
Bujanović, Z.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Linear systems theory (239814) *
Nakić, I.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Nonlinear analysis and applications
=> Izborni modul Nelinearna analiza i primjene
English level Semester workload Sem INFO
5.0 Nonlinear analysis and applications 1 (239819)
Muha, B.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Nonlinear analysis and applications 2 (239820) *
Erceg, M.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Parallel computing
=> Izborni modul Paralelno računanje
English level Semester workload Sem INFO
5.0 Applications of parallel computers (45664) *
Jurak, M.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
5.0 Introduction to parallel computing (45663)
Bosner, N.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
ECTS Facultative courses
=> Fakultativni kolegiji - Primijenjena matematika
English level Semester workload Sem INFO
4.0 Internship (252486)
Bašić, M.; Grubišić, L.
- 120
(120PP)
1, 2, 3, 4 INFO
2.0 Research in advanced mathematics (252487)
Erceg, M.; Nakić, I.
- 15
(15L)
1, 2, 3, 4 INFO
4. semester, 2. year
ECTS Mandatory courses English level Semester workload Sem INFO
5.0 Fluid mechanics (92931)
Muha, B.
1,0,0
45
(45L)
4 INFO
10.0 Master's thesis (61488)
- 1
(1S)
4 INFO
5.0 Numerical solution of partial differential equations 2 (92930)
Jurak, M.
1,0,0
45
(45L)
4 INFO
ECTS Elective module Control Theory
=> Izborni modul Teorija upravljanja
English level Semester workload Sem INFO
5.0 Introduction to control theory (239813) *
Bujanović, Z.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Linear systems theory (239814)
Nakić, I.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Nonlinear analysis and applications
=> Izborni modul Nelinearna analiza i primjene
English level Semester workload Sem INFO
5.0 Nonlinear analysis and applications 1 (239819) *
Muha, B.
- 45
(45L)
1, 2, 3, 4 INFO
5.0 Nonlinear analysis and applications 2 (239820)
Erceg, M.
- 45
(45L)
1, 2, 3, 4 INFO
ECTS Elective module Parallel computing
=> Izborni modul Paralelno računanje
English level Semester workload Sem INFO
5.0 Applications of parallel computers (45664)
Jurak, M.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
5.0 Introduction to parallel computing (45663) *
Bosner, N.
1,0,0
45
(30L+15AE)
1, 2, 3, 4 INFO
ECTS Facultative courses
=> Fakultativni kolegiji - Primijenjena matematika
English level Semester workload Sem INFO
4.0 Internship (252486)
Bašić, M.; Grubišić, L.
- 120
(120PP)
1, 2, 3, 4 INFO
2.0 Research in advanced mathematics (252487) *
Erceg, M.; Nakić, I.
- 15
(15L)
1, 2, 3, 4 INFO

  (*)Course is currently not active
(***)Course is active in other academic year