Graduate university study programme in mathematics (Master level) - Industrial and Applied Mathematics

Study programme

Academic title: Master of Mathematics (MMath)

Year 1

CodeCourseL+E+S ~ ECTS
WinterSummer
M038Foundations of Fourier Analysis and Wavelets 2+2+0 ~ 6
M052Probability2+2+0 ~ 6 
M081Applications of Dynamic Systems 2+2+0 ~ 5
M080Data Clustering: Approaches, Methods and Applications 2+1+1 ~ 5
I032Signals and Systems2+2+0 ~ 5 
I024Scientific Computing2+2+0 ~ 5 
M054Introduction to Approximation Theory2+2+0 ~ 4 
Total 16 ~ 2012 ~ 16

In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below. The courses taken shall not carry less than 25 ECTS credits per semester.

Elective courses:

Code Course L+E+S ~ ECTS
M031Metric Spaces2+2+0 ~ 6
M044Stohastic Processes2+2+0 ~ 6
M068Statistical Practice1+2+1 ~ 6
M045Statistics2+2+1 ~ 6
M020Linear Programming2+2+0 ~ 5
I019Algorithm Complexity2+2+0 ~ 5
M058Introduction to Integral Theory2+2+0 ~ 5
M036Introduction to Measure Theory2+2+0 ~ 5
M053Convex Functions1+1+0 ~ 4
E005Macroeconomics(2+2+0) + (2+2+0) ~ 8
M055Selected Topics in Matrix Theory2+1+0 ~ 4
M048Decision Theory1+0+1 ~ 4
I026Web Programming and Applications1+2+0 ~ 4

Criteria for enrolment in Year 2: a minimum of 45 ECTS credits which must obligatorily include ECTS credits allocated to the following courses: Scientific Computing and Introduction to Approximation Theory.


Year 2

CodeCourseL+E+S ~ ECTS
WinterSummer
M027Practicum in Mathematics2+0+2 ~ 6 
M028Optimization Methods 2+1+1 ~ 6
I007Basics of Artificial Intelligence 2+2+0 ~ 6
M060Theory of Partial Differential Equations 3+1+0 ~ 4
Z001Graduate Seminar0+0+2 ~ 30+0+2 ~ 3
M025Mathematical Models1+0+1 ~ 3 
Total 8 ~ 1214 ~ 19

In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below. The courses taken shall not carry less than 25 ECTS credits per semester.

Elective courses:

Code Course L+E+S ~ ECTS
M023Mathematical Finance2+1+1 ~ 7
M003Time Series2+0+2 ~ 6
I004Cryptography and System Security2+2+0 ~ 6
M032Multivariate Analysis2+1+1 ~ 6
M076Operations Research and Applications2+1+1 ~ 6
M057Reliability Theory2+1+1 ~ 6
M070Introduction to Algebraic Topology2+0+2 ~ 6
E009Credit Risk Management2+0+2 ~ 4
E004Financial Markets2+0+1 ~ 3
M024Mathematical Aspects of Electoral Systems1+0+1 ~ 3
M061Numerical Linear Algebra in Control of Linear Systems2+1+0 ~ 3
I018Computer Laboratory1+1+1 ~ 3

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