Odjel za matematiku

Integrated undergraduate and graduate university study programme in mathematics and computer science

Study programme

 

Academic title: Master of Education in Mathematics and Computer Science (MEd)

Year 2

Compulsory courses:

CodeCourseL+E+S ~ ECTS
WinterSummer
M009Multivariable Calculus3+2+0 ~ 7
M019Linear Algebra II2+2+0 ~ 6
I027Mathematical Tools1+2+0 ~ 4
I011Introduction to Data Structures and Algorithms2+2+0 ~ 5
M014Combinatorial and Discrete Mathematics2+2+0 ~ 5
M015Complex Analysis2+2+0 ~ 6
M049Number Theory2+2+0 ~ 6
M005Elementary Geometry2+2+0 ~ 5
F001Elementary Physics I2+2+0 ~ 4
Z003English/German for Mathematics and Computer Science Students II0+0+2 ~ 30+0+2 ~ 3
Z006Physical Education0+2+0 ~ 10+2+0 ~ 1
Total 24 ~ 3120 ~ 25

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: .


Year 3

Compulsory courses:

CodeCourseL+E+S ~ ECTS
WinterSummer
F002Elementary Physics II2+2+0 ~ 4
I001Fundamentals of Databases1+1+1 ~ 4
I017Introduction to Computer Networks and Services1+1+0 ~ 3
M066Vector Spaces2+2+0 ~ 5
M050Introduction to Probability and Statistics2+2+0 ~ 5
M067Numerical Mathematics2+2+0 ~ 5
M022Introduction to Set Theory and Mathematical Logic2+2+0 ~ 5
M063Applications of Calculus II1+2+0 ~ 4
Total 13 ~ 1615 ~ 19

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 Course L+E+S ~ ECTS
M064Inequalities1+1+0 ~ 3
Z005Influence of the Town on the Region of Slavonia and Vice Versa1+0+1 ~ 3
I020Office Operations0+1+1 ~ 3

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: .


Year 4

Compulsory courses:

CodeCourseL+E+S ~ ECTS
WinterSummer
M011Graphs2+2+0 ~ 5
M031Metric Spaces2+2+0 ~ 6
I026Web Programming and Applications1+2+0 ~ 4
P009Pedagogy I1+1+1 ~ 3
P005Psychology of Education I1+1+1 ~ 3
M068Statistical Practice1+2+1 ~ 6
P007Didactics I1+1+1 ~ 3
P010Pedagogy II1+1+1 ~ 3
P006Psychology of Education II1+1+1 ~ 3
M029Didactics of Mathematics I2+1+1 ~ 62+1+1 ~ 6
Total 21 ~ 2717 ~ 21

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 Course L+E+S ~ ECTS
M036Introduction to Measure Theory2+2+0 ~ 5
M008Financial and Actuarial Mathematics2+2+0 ~ 5
I024Scientific Computing2+2+0 ~ 5
M016Concrete Mathematics2+2+0 ~ 5
M069Non-Euclidean Geometry2+1+0 ~ 4
M058Introduction to Integral Theory2+2+0 ~ 5
M053Convex Functions1+1+0 ~ 4
M020Linear Programming2+2+0 ~ 5
M059Data Clustering and Applications2+1+1 ~ 5
M048Decision Theory1+0+1 ~ 4
I019Algorithm Complexity2+2+0 ~ 5

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: .


Year 5

Compulsory courses:

CodeCourseL+E+S ~ ECTS
WinterSummer
I005Teaching Informatics2+1+0 ~ 4
M027Practicum in Mathematics2+0+2 ~ 6
M017Constructive Geometry2+1+0 ~ 4
P008Didactics II1+1+1 ~ 3
I007Basics of Artificial Intelligence2+2+0 ~ 6
M030Didactics of Mathematics II1+2+1 ~ 51+2+1 ~ 5
M040History of Mathematics2+0+0 ~ 32+0+0 ~ 3
Z001Graduate Seminar0+0+2 ~ 30+0+2 ~ 3
Total 21 ~ 2812 ~ 17

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 Course L+E+S ~ ECTS
M025Mathematical Models1+0+1 ~ 3
M037Operational Research1+0+1 ~ 3
I004Cryptography and System Security2+2+0 ~ 6
M057Reliability Theory2+1+1 ~ 6
M070Introduction to Algebraic Topology2+0+2 ~ 6
M071Projective Geometry2+1+0 ~ 3
M024Mathematical Aspects of Electoral Systems1+0+1 ~ 3
I018Computer Laboratory1+1+1 ~ 3
M028Optimization Methods2+1+1 ~ 6
M056Pupils' Mathematics Competitions1+0+1 ~ 3

Thesis topics are approved at the Department of Mathematics Council session. Thesis ECTS credits are included in the course Graduate Seminar.