Undergraduate University Programme in Mathematics Education

Official length of programme

Three-year programme, 180 ECTS credits.

Access requirements

Applicants must have completed a four-year secondary school.

Name of qualification

Bachelor of Education in Mathematics

Programme requirements

The Undergraduate University Programme in Mathematics Education is the first cycle in the Bologna education system of 3+2 university education of mathematicians specialized in teaching mathematics and/or computer science at the lower and higher levels of secondary education (upper grades of elementary schools and secondary schools).
The Undergraduate University Programme in Mathematics Education provides the acquisition of basic mathematical skills and those from the field of ICT and basic education in educational sciences. It provides the acquisition of basic knowledge and the understanding of the results in main fields of mathematics. Also, students familiarize themselves with contemporary theories, strategies and methods in the psychology and sociology of education and the possibilities of their applications in elementary and secondary schools. This study provides students with the ability to understand simple mathematical proofs and also logical argumentation in general situations, the ability of mathematical modelling of simpler situations and the ability of creative problem solving by using mathematical tools and ICT. The students of this undergraduate programme have also developed practical skills of the use and application of ICT and they are also able to further their education in the fields of mathematics, computer science and educational sciences. During their study, students are familiarized with various fields of mathematics, which are part of the curriculum in elementary and secondary schools, and through four one-semester seminars have further developed their professional and communicational skills.
The conditions necessary for a successful ending of the programme are passing grades from all subjects included in the programme (available at www.math.hr). During the first year of the Undergraduate University Programme in Mathematics Education students gain fundamental knowledge from the basic fields of mathematics (mathematical analysis, linear algebra, geometry) and also, psychology and ICT. On their second year they broaden the knowledge gained on the first year and also acquire basic terms in algorithmic thinking, sociology of education and English. They also, through seminars, develop their professional and communicational skills. Depending on their choosing, students familiarize themselves with the basics of programming during their second year or gain the basics of physics. During their third year students acquire basic knowledge of combinatorics and discrete mathematics, probability and statistics, number theory, ordinary differential equations, numerical mathematics and educational science. By choosing two out of four optional modules (algebra, analysis, geometry, and computer science) they gain deeper understanding of two areas of mathematics. Bachelors of Education in Mathematics become competent for: a) knowledge and understanding of: basic concepts in all fields of mathematics and computer science, basic concepts in educational science, key concepts in ICT development; b) problem solving: algebra, analysis, discrete mathematics, geometry, statistics and probability, psychology of education, sociology of education and educational sciences; c) the use of ICT: Windows, MS Office, FrontPage, Mathematica; d) practical skills: the ability to conduct searches of literature, and to use databases and other sources of information, team work on smaller project assignments, presentation of concrete results through seminars.

Professional status

The Undergraduate University Programme in Mathematics Education is the first in two cycles in the education of future teachers of mathematics and/or computer science in elementary and secondary schools. The second cycle is the two-year Graduate University Programme in Mathematics (and Computer Science) Education. Holders of the degree Bachelor of Education in Mathematics can exercise professional work in various technical fields and occupations in economy, state management and the public sector which include analytical ways of thinking, basic knowledge in mathematics and computer science, the ability of mathematical modelling and problem solving, understanding of statistics, the ability to organize, analyze and present information and apply ICT.

Access to further study

After completion of the undergraduate university degree programme, a student acquires the right to enrol in each of seven graduate university studies of the Faculty of Sciences, Department of Mathematics, University of Zagreb. Requirements for admission to university or professional study programmes at other higher education institutions are determined by these institutions.


Mathematics Education

1. semester, 1. year
ECTS Mandatory courses English level Semester workload Sem INFO
7.0 Analytic geometry (92894)
Kožić, S.
1,0,0
75
(45L+30AE)
1 INFO
5.0 Computing lab 1 (21540)
Biočić, I.
1,0,0
60
(30L+30AE)
1 INFO
6.0 Elementary geometry (21538)
Bombardelli, M.; Ilišević, D.
1,0,0
60
(30L+30AE)
1 INFO
8.0 Introduction to mathematics (92893)
Ilišević, D.; Muić, G.
1,0,0
105
(60L+45AE)
1 INFO
4.0 Personality psychology in education (21541)
Rovan, D.
1,0,0
30
(30L)
1 INFO
0.0 Physical and health education 1 (45709)
- 30
(30PEE)
1 INFO
2. semester, 1. year
ECTS Mandatory courses English level Semester workload Sem INFO
6.0 Computing lab 2 (21546)
Radulović, M.
1,0,0
60
(30L+30AE)
2 INFO
4.0 Developmental psychology (21547)
Rovan, D.
1,0,0
30
(30L)
2 INFO
10.0 Differential and integral calculus 1 (92895)
Marušić-Paloka, E.
1,0,0
105
(60L+45AE)
2 INFO
10.0 Linear algebra 1 (92896)
Franušić, Z.
1,0,0
105
(60L+45AE)
2 INFO
0.0 Physical and health education 2 (21522)
- 30
(30PEE)
2 INFO
ECTS Facultative course
=> Fakultativni kolegij
English level Semester workload Sem INFO
3.0 Students' competitions in mathematics (133310)
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
2, 4, 6 INFO
3. semester, 2. year
ECTS Mandatory courses English level Semester workload Sem INFO
9.0 Differential and integral calculus 2 (92897)
Marušić-Paloka, E.
1,0,0
105
(60L+45AE)
3 INFO
5.0 Educational psychology - theories of learning and teaching (31445)
Ljubin Golub, T.
1,0,0
45
(30L+15AE)
3 INFO
8.0 Linear algebra 2 (186320)
Prlić, A.
- 75
(45L+30AE)
3 INFO
0.0 Physical and health education 3 (45710)
- 30
(30PEE)
3 INFO
ECTS Elective course 1
=> Izborni predmet 1 - preddiplomski studij Matematika,nast. 2. god.
English level Semester workload Sem INFO
5.0 Computer programming 1 (36933)
Horvat, M.; Mihelčić, M.
1,0,0
60
(30L+30AE)
3 INFO
5.0 Fundamentals of algorithms (31441)
Krčadinac, V.
1,0,0
60
(30L+30AE)
3 INFO
ECTS Elective seminar 1
=> Izborni seminar 1 - Matematika; nast., 2. god.
English level Semester workload Sem INFO
3.0 Learning based on inquiry and problem solving (186323)
Arambašić, L.
- 30
(30S)
3 INFO
3.0 Seminar - Biographies of mathematicians (24213)
Najman, F.
1,0,0
30
(30S)
3 INFO
3.0 Seminar - History of computing (31443)
Bosner, N.
1,0,0
30
(30S)
3 INFO
4. semester, 2. year
ECTS Mandatory courses English level Semester workload Sem INFO
7.0 Constructive methods in geometry (186322)
Bombardelli, M.; Pejković, T.
- 75
(45L+30AE)
4 INFO
4.0 Educational Sociology (31448)
Rogošić, S.
1,0,0
30
(30L)
4 INFO
10.0 Fundamentals of mathematical analysis (186321)
Prlić, A.
- 90
(60L+30AE)
4 INFO
0.0 Physical and health education 4 (31438)
- 30
(30PEE)
4 INFO
3.0 Seminar 2 - Selected topics in geometry (31447)
Pejković, T.
1,0,0
30
(30S)
4 INFO
ECTS Elective course 2
=> Izborni predmet 2 - Matematika; nast. - 2. god
English level Semester workload Sem INFO
6.0 Computer programming 2 (36935)
Ljulj, M.; Mihelčić, M.
1,0,0
60
(30L+30AE)
4 INFO
6.0 Introduction to mathematical modelling (239803)
Bašić, M.; Radulović, M.
- 60
(45L+15AE)
4 INFO
6.0 Selected topics in applied linear algebra (252470)
Arambašić, L.
- 60
(45L+15S)
4 INFO
ECTS Facultative course
=> Fakultativni kolegij
English level Semester workload Sem INFO
3.0 Students' competitions in mathematics (133310)
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
2, 4, 6 INFO
5. semester, 3. year
ECTS Mandatory courses English level Semester workload Sem INFO
7.0 Applied mathematical analysis (36937)
Radulović, M.
1,0,0
60
(30L+30AE)
5 INFO
6.0 Combinatorial and discrete mathematics (36938)
Radunović, G.
1,0,0
60
(30L+30AE)
5 INFO
4.0 Pedagogy 1 - Theory and practice of education (36940)
Đuranović, M.
1,0,0
45
(30L+15S)
5 INFO
3.0 Seminar 3 - Mathematical competitions (33218)
Kovač, V.; Najman, F.
1,0,0
30
(30S)
5 INFO
ECTS Algebra
=> Algebra - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Algebraic structures (33443) *
Širola, B.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Vector spaces (33442)
Muić, G.
1,0,0
60
(30L+30AE)
5, 6 INFO
ECTS Analysis
=> Analiza - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Complex analysis (33226) *
Muić, G.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Metric spaces (227990)
Radunović, G.
- 45
(45L)
5, 6 INFO
ECTS Computer science
=> Računarstvo - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Database systems (36956) *
Manger, R.
1,0,0
45
(30L+15AE)
5, 6 INFO
5.0 Data structures and algorithms (36955)
Manger, R.
1,0,0
60
(30L+30AE)
5, 6 INFO
ECTS Facultative course
=> Fakultativni kolegiji - Stručna praksa - Matematika; nast. PDS
English level Semester workload Sem INFO
3.0 Internship (252471)
Bašić, M.; Grubišić, L.
- 90
(90PP)
5, 6 INFO
ECTS Geometry
=> Geometrija - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Euclidean spaces (33227)
Franušić, Z.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Introduction to differential geometry (33232) *
Milin Šipuš, Ž.
1,0,0
60
(30L+30AE)
5, 6 INFO
6. semester, 3. year
ECTS Mandatory courses English level Semester workload Sem INFO
6.0 Elementary number theory (37955)
Pejković, T.
1,0,0
60
(30L+30AE)
6 INFO
4.0 Pedagogy 2 - Educational system (36943)
Žnidarec Čučković, A.
1,0,0
45
(30L+15S)
6 INFO
7.0 Probability and statistics (37954)
Slijepčević, S.
1,0,0
75
(45L+30AE)
6 INFO
ECTS Algebra
=> Algebra - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Algebraic structures (33443)
Širola, B.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Vector spaces (33442) *
Muić, G.
1,0,0
60
(30L+30AE)
5, 6 INFO
ECTS Analysis
=> Analiza - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Complex analysis (33226)
Muić, G.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Metric spaces (227990) *
Radunović, G.
- 45
(45L)
5, 6 INFO
ECTS Computer science
=> Računarstvo - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Database systems (36956)
Manger, R.
1,0,0
45
(30L+15AE)
5, 6 INFO
5.0 Data structures and algorithms (36955) *
Manger, R.
1,0,0
60
(30L+30AE)
5, 6 INFO
ECTS Elective seminar 4
=> Izborni seminar 4 - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
3.0 Seminar - Mathematical modelling (36944)
Mrazović, R.
1,0,0
30
(30S)
6 INFO
3.0 Seminar - Selected topics in computer science (33444)
Radunović, G.
1,0,0
30
(30S)
6 INFO
ECTS Facultative course
=> Fakultativni kolegij
English level Semester workload Sem INFO
3.0 Students' competitions in mathematics (133310)
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
2, 4, 6 INFO
3.0 Internship (252471)
Bašić, M.; Grubišić, L.
- 90
(90PP)
5, 6 INFO
ECTS Geometry
=> Geometrija - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Euclidean spaces (33227) *
Franušić, Z.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Introduction to differential geometry (33232)
Milin Šipuš, Ž.
1,0,0
60
(30L+30AE)
5, 6 INFO
1. semester, 1. year
ECTS Mandatory courses English level Semester workload Sem INFO
7.0 Analytic geometry (92894)
Kožić, S.
1,0,0
75
(45L+30AE)
1 INFO
5.0 Computing lab 1 (21540)
Biočić, I.
1,0,0
60
(30L+30AE)
1 INFO
6.0 Elementary geometry (21538)
Bombardelli, M.; Ilišević, D.
1,0,0
60
(30L+30AE)
1 INFO
8.0 Introduction to mathematics (92893)
Ilišević, D.; Muić, G.
1,0,0
105
(60L+45AE)
1 INFO
4.0 Personality psychology in education (21541)
Rovan, D.
1,0,0
30
(30L)
1 INFO
0.0 Physical and health education 1 (45709)
- 30
(30PEE)
1 INFO
2. semester, 1. year
ECTS Mandatory courses English level Semester workload Sem INFO
6.0 Computing lab 2 (21546)
Radulović, M.
1,0,0
60
(30L+30AE)
2 INFO
4.0 Developmental psychology (21547)
Rovan, D.
1,0,0
30
(30L)
2 INFO
10.0 Differential and integral calculus 1 (92895)
Marušić-Paloka, E.
1,0,0
105
(60L+45AE)
2 INFO
10.0 Linear algebra 1 (92896)
Franušić, Z.
1,0,0
105
(60L+45AE)
2 INFO
0.0 Physical and health education 2 (21522)
- 30
(30PEE)
2 INFO
ECTS Facultative course
=> Fakultativni kolegij
English level Semester workload Sem INFO
3.0 Students' competitions in mathematics (133310)
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
2, 4, 6 INFO
3. semester, 2. year
ECTS Mandatory courses English level Semester workload Sem INFO
9.0 Differential and integral calculus 2 (92897)
Marušić-Paloka, E.
1,0,0
105
(60L+45AE)
3 INFO
5.0 Educational psychology - theories of learning and teaching (31445)
Ljubin Golub, T.
1,0,0
45
(30L+15AE)
3 INFO
8.0 Linear algebra 2 (186320)
Prlić, A.
- 75
(45L+30AE)
3 INFO
0.0 Physical and health education 3 (45710)
- 30
(30PEE)
3 INFO
ECTS Elective course 1
=> Izborni predmet 1 - preddiplomski studij Matematika,nast. 2. god.
English level Semester workload Sem INFO
5.0 Computer programming 1 (36933)
Horvat, M.; Mihelčić, M.
1,0,0
60
(30L+30AE)
3 INFO
5.0 Fundamentals of algorithms (31441)
Krčadinac, V.
1,0,0
60
(30L+30AE)
3 INFO
ECTS Elective seminar 1
=> Izborni seminar 1 - Matematika; nast., 2. god.
English level Semester workload Sem INFO
3.0 Learning based on inquiry and problem solving (186323)
Arambašić, L.
- 30
(30S)
3 INFO
3.0 Seminar - Biographies of mathematicians (24213)
Najman, F.
1,0,0
30
(30S)
3 INFO
3.0 Seminar - History of computing (31443)
Bosner, N.
1,0,0
30
(30S)
3 INFO
4. semester, 2. year
ECTS Mandatory courses English level Semester workload Sem INFO
7.0 Constructive methods in geometry (186322)
Bombardelli, M.; Pejković, T.
- 75
(45L+30AE)
4 INFO
4.0 Educational Sociology (31448)
Rogošić, S.
1,0,0
30
(30L)
4 INFO
10.0 Fundamentals of mathematical analysis (186321)
Prlić, A.
- 90
(60L+30AE)
4 INFO
0.0 Physical and health education 4 (31438)
- 30
(30PEE)
4 INFO
3.0 Seminar 2 - Selected topics in geometry (31447)
Pejković, T.
1,0,0
30
(30S)
4 INFO
ECTS Elective course 2
=> Izborni predmet 2 - Matematika; nast. - 2. god
English level Semester workload Sem INFO
6.0 Computer programming 2 (36935)
Ljulj, M.; Mihelčić, M.
1,0,0
60
(30L+30AE)
4 INFO
6.0 Introduction to mathematical modelling (239803)
Bašić, M.; Radulović, M.
- 60
(45L+15AE)
4 INFO
6.0 Selected topics in applied linear algebra (252470)
Arambašić, L.
- 60
(45L+15S)
4 INFO
ECTS Facultative course
=> Fakultativni kolegij
English level Semester workload Sem INFO
3.0 Students' competitions in mathematics (133310)
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
2, 4, 6 INFO
5. semester, 3. year
ECTS Mandatory courses English level Semester workload Sem INFO
7.0 Applied mathematical analysis (36937)
Radulović, M.
1,0,0
60
(30L+30AE)
5 INFO
6.0 Combinatorial and discrete mathematics (36938)
Radunović, G.
1,0,0
60
(30L+30AE)
5 INFO
4.0 Pedagogy 1 - Theory and practice of education (36940)
Đuranović, M.
1,0,0
45
(30L+15S)
5 INFO
3.0 Seminar 3 - Mathematical competitions (33218)
Kovač, V.; Najman, F.
1,0,0
30
(30S)
5 INFO
ECTS Algebra
=> Algebra - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Algebraic structures (33443) *
Širola, B.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Vector spaces (33442)
Muić, G.
1,0,0
60
(30L+30AE)
5, 6 INFO
ECTS Analysis
=> Analiza - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Complex analysis (33226) *
Muić, G.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Metric spaces (227990)
Radunović, G.
- 45
(45L)
5, 6 INFO
ECTS Computer science
=> Računarstvo - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Database systems (36956) *
Manger, R.
1,0,0
45
(30L+15AE)
5, 6 INFO
5.0 Data structures and algorithms (36955)
Manger, R.
1,0,0
60
(30L+30AE)
5, 6 INFO
ECTS Facultative course
=> Fakultativni kolegiji - Stručna praksa - Matematika; nast. PDS
English level Semester workload Sem INFO
3.0 Internship (252471)
Bašić, M.; Grubišić, L.
- 90
(90PP)
5, 6 INFO
ECTS Geometry
=> Geometrija - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Euclidean spaces (33227)
Franušić, Z.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Introduction to differential geometry (33232) *
Milin Šipuš, Ž.
1,0,0
60
(30L+30AE)
5, 6 INFO
6. semester, 3. year
ECTS Mandatory courses English level Semester workload Sem INFO
6.0 Elementary number theory (37955)
Pejković, T.
1,0,0
60
(30L+30AE)
6 INFO
4.0 Pedagogy 2 - Educational system (36943)
Žnidarec Čučković, A.
1,0,0
45
(30L+15S)
6 INFO
7.0 Probability and statistics (37954)
Slijepčević, S.
1,0,0
75
(45L+30AE)
6 INFO
ECTS Algebra
=> Algebra - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Algebraic structures (33443)
Širola, B.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Vector spaces (33442) *
Muić, G.
1,0,0
60
(30L+30AE)
5, 6 INFO
ECTS Analysis
=> Analiza - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Complex analysis (33226)
Muić, G.
1,0,0
60
(30L+30AE)
5, 6 INFO
5.0 Metric spaces (227990) *
Radunović, G.
- 45
(45L)
5, 6 INFO
ECTS Computer science
=> Računarstvo - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Database systems (36956)
Manger, R.
1,0,0
45
(30L+15AE)
5, 6 INFO
5.0 Data structures and algorithms (36955) *
Manger, R.
1,0,0
60
(30L+30AE)
5, 6 INFO
ECTS Elective seminar 4
=> Izborni seminar 4 - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
3.0 Seminar - Mathematical modelling (36944)
Mrazović, R.
1,0,0
30
(30S)
6 INFO
3.0 Seminar - Selected topics in computer science (33444)
Radunović, G.
1,0,0
30
(30S)
6 INFO
ECTS Facultative course
=> Fakultativni kolegij
English level Semester workload Sem INFO
3.0 Students' competitions in mathematics (133310)
Bašić, M.; Gogić, I.; Kazalicki, M.; Kovač, V.
1,0,0
30
(30L)
2, 4, 6 INFO
3.0 Internship (252471)
Bašić, M.; Grubišić, L.
- 90
(90PP)
5, 6 INFO
ECTS Geometry
=> Geometrija - preddiplomski studij Matematika; nast. 3. god.
English level Semester workload Sem INFO
5.0 Euclidean spaces (33227) *
Franušić, Z.
1,0,0
60
(30L+30AE)
5, 6 INFO

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