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

CodeCourseL+E+S ~ ECTS
WinterSummer
M009Multivariable Calculus3+2+0 ~ 7 
M015Complex Analysis 2+2+0 ~ 6
M019Linear Algebra II2+2+0 ~ 6 
M049Number Theory 2+2+0 ~ 6
M005Elementary Geometry 2+2+0 ~ 5
M014Combinatorial and Discrete Mathematics2+2+0 ~ 5 
I011Introduction to Data Structures and Algorithms2+2+0 ~ 5 
F001Elementary Physics I 2+2+0 ~ 4
I027Mathematical Tools1+2+0 ~ 4 
M062Applications of Differential and Integral Calculus I 1+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 ~ 3123 ~ 29

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

Compulsory courses:

CodeCourseL+E+S ~ ECTS
WinterSummer
M043Real Analysis4+2+0 ~ 7 
M001Algebra 2+2+0 ~ 6
M067Numerical Mathematics 2+2+0 ~ 5
M035Ordinary Differential Equations2+2+0 ~ 5 
M022Introduction to Set Theory and Mathematical Logic 2+2+0 ~ 5
M050Introduction to Probability and Statistics 2+2+0 ~ 5
M066Vector Spaces2+2+0 ~ 5 
M002Analytic Geometry 2+1+0 ~ 4
F002Elementary Physics II2+2+0 ~ 4 
I001Fundamentals of Databases1+1+1 ~ 4 
M063Applications of Calculus II 1+2+0 ~ 4
I017Introduction to Computer Networks and Services1+1+0 ~ 3 
Total 23 ~ 2822 ~ 29

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
M065Convex Sets1+0+1 ~ 3
M064Inequalities1+1+0 ~ 3
I020Office Operations0+1+1 ~ 3
Z005Influence of the Town on the Region of Slavonia and Vice Versa1+0+1 ~ 3
  University elective

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

Compulsory courses:

CodeCourseL+E+S ~ ECTS
WinterSummer
M029Didactics of Mathematics I2+1+1 ~ 62+1+1 ~ 6
M031Metric Spaces 2+2+0 ~ 6
M068Statistical Practice1+2+1 ~ 6 
M011Graphs2+2+0 ~ 5 
I026Web Programming and Applications1+2+0 ~ 4 
P007Didactics I 1+1+1 ~ 3
P009Pedagogy I1+1+1 ~ 3 
P010Pedagogy II 1+1+1 ~ 3
P005Psychology of Education I1+1+1 ~ 3 
P006Psychology of Education II 1+1+1 ~ 3
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
M052Probability2+2+0 ~ 6
M008Financial and Actuarial Mathematics2+2+0 ~ 5
M059Data Clustering and Applications2+1+1 ~ 5
M016Concrete Mathematics2+2+0 ~ 5
M020Linear Programming2+2+0 ~ 5
I019Algorithm Complexity2+2+0 ~ 5
M058Introduction to Integral Theory2+2+0 ~ 5
M036Introduction to Measure Theory2+2+0 ~ 5
I024Scientific Computing2+2+0 ~ 5
M053Convex Functions1+1+0 ~ 4
M069Non-Euclidean Geometry2+1+0 ~ 4
M048Decision Theory1+0+1 ~ 4

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 and Statistical Practice.


Year 5

Compulsory courses:

CodeCourseL+E+S ~ ECTS
WinterSummer
M027Practicum in Mathematics2+0+2 ~ 6 
I007Basics of Artificial Intelligence 2+2+0 ~ 6
M030Didactics of Mathematics II1+2+1 ~ 51+2+1 ~ 5
M017Constructive Geometry2+1+0 ~ 4 
I005Teaching Informatics2+1+0 ~ 4 
P008Didactics II1+1+1 ~ 3 
Z001Graduate Seminar0+0+2 ~ 30+0+2 ~ 3
M040History of Mathematics2+0+0 ~ 32+0+0 ~ 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
I004Cryptography and System Security2+2+0 ~ 6
M028Optimization Methods2+1+1 ~ 6
M057Reliability Theory2+1+1 ~ 6
M070Introduction to Algebraic Topology2+0+2 ~ 6
M024Mathematical Aspects of Electoral Systems1+0+1 ~ 3
M025Mathematical Models1+0+1 ~ 3
M037Operational Research1+0+1 ~ 3
M071Projective Geometry2+1+0 ~ 3
I018Computer Laboratory1+1+1 ~ 3
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.