- KLASIUS-SRV: Masters education (second Bologna cycle)/Master (second Bologna cycle)
- ISCED: Mathematics and statistics
- KLASIUS-P: Mathematics (broad programmes)
- KLASIUS-P-16: Mathematics
- Frascati: Natural Sciences
- SOK level: 8
- EOK level: 7
- EOVK level: Second cycle
Mathematics, Second Cycle
Please visit our Master's degree website for more information about the programme, department, and life in Ljubljana.
This programme is designed for Bachelors in Mathematics (academic) wishing to take active part in planning, engineering and development in professional environments, or engage in scientific research in mathematics, theoretical computer science or theoretical mechanics.
Level:
2
Number of years:
2
Credits per year:
60
Duration:
2 years
(4 semesters), total of 120 ECTS credits
Professional title:
Graduates obtain the title magister matematike/magistrica matematike, abbreviated to mag. mat.
Coordinator(s):
Classification
Curriculum
P = lecture and seminar hours per week
V = theoretical and laboratory exercise hours per week
ECTS = credit points
1. year
2. year
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Master's thesis and exam | 25 | 0/0 | 0/0 |
| Mathematical seminar | 3 | 1/0 | 1/0 |
| 4 | 0/0 | 2/1 | |
| 16 | 7/6 | 0/0 | |
| 12 | 6/4 | 0/0 |
1., 2. year
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Analytical mechanics | 6 | 3/2 | 0/0 |
| Dynamical systems | 6 | 3/2 | 0/0 |
| Functional analysis | 6 | 3/2 | 0/0 |
| Topics in analysis | 6 | 3/2 | 0/0 |
| Complex analysis | 6 | 3/2 | 0/0 |
| Mechanics of deformable bodies | 6 | 3/2 | 0/0 |
| Fluid mechanics | 6 | 3/2 | 0/0 |
| Continuum mechanics | 6 | 3/2 | 0/0 |
| Partial differential equations | 6 | 3/2 | 0/0 |
| Special functions | 6 | 3/2 | 0/0 |
| Measure theory | 6 | 3/2 | 0/0 |
| Operator theory | 6 | 3/2 | 0/0 |
| Introduction to C* algebras | 6 | 3/2 | 0/0 |
| Introduction to functional analysis | 6 | 3/2 | 0/0 |
| Introduction to harmonic analysis | 6 | 3/2 | 0/0 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Topics in algebra | 6 | 3/2 | 0/0 |
| Topics in discrete mathematics 1 | 6 | 3/2 | 0/0 |
| Topics in discrete mathematics 2 | 6 | 3/2 | 0/0 |
| Combinatorics | 6 | 3/2 | 0/0 |
| Commutative algebra | 6 | 3/2 | 0/0 |
| Nonassociative algebra | 6 | 3/2 | 0/0 |
| Noncommutative algebra | 6 | 3/2 | 0/0 |
| Graph theory | 6 | 3/2 | 0/0 |
| Theory of semigroups and groups | 6 | 3/2 | 0/0 |
| Number theory | 6 | 3/2 | 0/0 |
| Applied discrete mathematics | 6 | 3/2 | 0/0 |
| Ordered algebraic structures | 6 | 3/2 | 0/0 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Algebraic topology 1 | 6 | 3/2 | 0/0 |
| Algebraic topology 2 | 6 | 3/2 | 0/0 |
| Analysis on manifolds | 6 | 3/2 | 0/0 |
| Differential geometry | 6 | 3/2 | 0/0 |
| Topics in topology | 6 | 3/2 | 0/0 |
| Convexity | 6 | 3/2 | 0/0 |
| Lie groups | 6 | 3/2 | 0/0 |
| Riemann surfaces | 6 | 3/2 | 0/0 |
| Introduction to algebraic geometry | 6 | 3/2 | 0/0 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Iterative numerical methods in linear algebra | 6 | 3/2 | 0/0 |
| Topics in numerical mathematics | 6 | 3/2 | 0/0 |
| Numerical approximation and interpolation | 6 | 3/2 | 0/0 |
| Numerical integration and ordinary differential equations | 6 | 3/2 | 0/0 |
| Numerical methods for linear control systems | 6 | 3/2 | 0/0 |
| Numerical solving of partial differential equations | 6 | 3/2 | 0/0 |
| Computer aided (geometric) design | 6 | 3/2 | 0/0 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Actuarial mathematics | 6 | 3/2 | 0/0 |
| Bayesian statistics | 6 | 3/2 | 0/0 |
| Time series | 6 | 3/2 | 0/0 |
| Econometrics | 6 | 3/2 | 0/0 |
| Financial mathematics 2 | 6 | 3/2 | 0/0 |
| Financial mathematics 3 | 6 | 3/2 | 0/0 |
| Topics in financial mathematics 1 | 6 | 3/2 | 0/0 |
| Topics in financial mathematics 2 | 6 | 3/2 | 0/0 |
| Topics in game theory | 6 | 3/2 | 0/0 |
| Modelling with stochastic processes | 6 | 3/2 | 0/0 |
| Numerical methods for financial mathematics | 6 | 3/2 | 0/0 |
| Optimization in finance | 6 | 3/2 | 0/0 |
| Riesz spaces in mathematical economics | 6 | 3/2 | 0/0 |
| Stochastic processes 2 | 6 | 3/2 | 0/0 |
| Stochastic processes 3 | 6 | 3/2 | 0/0 |
| Statistics 2 | 6 | 3/2 | 0/0 |
| Probability 2 | 6 | 3/2 | 0/0 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Topics in optimization | 6 | 3/2 | 0/0 |
| Topics in mathematical foundations of computer science | 6 | 3/2 | 0/0 |
| Logic | 6 | 3/2 | 0/0 |
| Mathematics with computers | 6 | 3/2 | 0/0 |
| Advanced Machine Learning | 6 | 3/2 | 0/0 |
| Optimization 2 | 6 | 3/2 | 0/0 |
| Data structures and algorithms 3 | 6 | 3/2 | 0/0 |
| Computational complexity | 6 | 3/2 | 0/0 |
| Computability theory | 6 | 3/2 | 0/0 |
| Set theory | 6 | 3/2 | 0/0 |
| Theory of programming languages | 6 | 3/2 | 0/0 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Astronomy * | 7 | 2/1 | 2/1 |
| Workplace experience 1 | 6 | 0/0 | 1/0 |
| Workplace experience 2 | 6 | 0/0 | 1/0 |
| Mathematical models in biology | 6 | 3/2 | 0/0 |
| Mathematics in industry | 6 | 2/0 | 0/0 |
| Modern physics | 6 | 3/2 | 0/0 |
| Project work | 3 | 1/0 | 0/0 |
| Theoretical physics | 7 | 4/2 | 0/0 |
