PhD School of Mathematics
PhD studies
3 years, 180 ECTS
Modules:
n Analysis
n Algebra and mathematical logic
Module: Analysis
|
|
Course |
Semester |
ECTS |
|
|
1. |
1 |
15 |
|
|
|
2. |
1 |
10 |
|
|
|
3. |
Study research work 1 |
1 |
5 |
|
|
4. |
2 |
15 |
|
|
|
5. |
Optional course 1 |
2 |
10 |
|
|
6. |
Study research work 2 |
2 |
5 |
|
|
7. |
Optional course 2 |
3 |
10 |
|
|
8. |
Optional course 3 |
3 |
10 |
|
|
9. |
Study research work 3 |
3 |
10 |
|
|
10. |
Optional course 4 |
4 |
10 |
|
|
11. |
Optional course 5 |
4 |
10 |
|
|
12. |
Study research work 4 |
4 |
10 |
|
|
13. |
Study research work 5 |
5 |
20 |
|
|
14. |
Study research work 6 |
6 |
20 |
|
|
15. |
PhD Theses |
6 |
20 |
|
The List of Analysis optional courses
|
1. |
Complex analysis |
|
2. |
Dynamical systems |
|
3. |
Stochastic analysis |
|
4. |
Differential geometry |
|
5. |
Numerical integration |
|
6. |
Spectral theory |
|
7. |
Generalized functions |
|
8. |
Numerical methods for solving partial differential equations |
|
9. |
Mathematical statistics |
|
10. |
Riemannian manifolds |
|
11. |
Harmonic analysis |
|
12. |
Generalized inverses |
|
13. |
Numerical optimization |
|
14. |
Lie groups and Lie algebras |
|
15. |
Time series analysis |
|
16. |
Functional analysis 2 |
|
17. |
Approximation theory |
|
18. |
Stochastic differential equations |
|
19. |
Simplectic and analytic mechanics |
|
20. |
Algebraic topology |
|
21. |
Pseudodifferential operators |
|
22. |
Operational research |
|
23. |
Generalized stochastic processes and applications |
|
24. |
Discrete geometry |
|
25. |
Operator algebras and Hilbert modules |
Module: Algebra and mathematical logic
|
|
Course |
Semester |
ECTS |
|
|
1. |
Mathematical logic |
1 |
15 |
|
|
2. |
Optional course 1 |
1 |
10 |
|
|
3. |
Study research work 1 |
1 |
5 |
|
|
4. |
General algebra |
2 |
15 |
|
|
5. |
Optional course 2 |
2 |
10 |
|
|
6. |
Study research work 2 |
2 |
5 |
|
|
7. |
Optional course 3 |
3 |
10 |
|
|
8. |
Optional course 4 |
3 |
10 |
|
|
9. |
Study research work 3 |
3 |
10 |
|
|
10. |
Optional course 5 |
4 |
10 |
|
|
11. |
Optional course 6 |
4 |
10 |
|
|
12. |
Study research work 4 |
4 |
10 |
|
|
13. |
Study research work 5 |
5 |
20 |
|
|
14. |
Study research work 6 |
6 |
20 |
|
|
15. |
PhD Theses |
6 |
20 |
|
The List of Alebra and mathematical logic optional courses
|
1. |
Universal algebra |
|
2. |
Non-classical logics |
|
3. |
Semigroup theory |
|
4. |
Model theory |
|
5. |
Theory of ordered sets |
|
6. |
Category theory and proof theory |
|
7. |
Ordered algebraic structures |
|
8. |
Computability teory |
|
9. |
Non-standard analysis |
|
10. |
Fuzzy sets and systems |
|
11. |
Boolean algebras |
|
12. |
Group theory |
|
13. |
Semiring theory |
|
14. |
Set theory |
|
15. |
Lattice theory |