PhD School of Mathematics

PhD studies

3 years, 180 ECTS

 

Modules:

n Analysis

n Algebra and mathematical logic

 

 

 

Module:  Analysis

 

Course

Semester

ECTS

 
 

1.

Functional analysis

1

15

 

2.

Measure and integration

1

10

 

3.

Study research work 1

1

5

4.

Partial differential equations

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