Mathematics
Course List

1st Semester

CODE COURSE NAME M/E T P C ECTS
MTK703 INTRODUCTION TO LATTICE THEORYE3 0 3 12
MTK705 SET THEORY IIE3 0 3 12
MTK709 LINEAR EQUATIONS IN BANACH SPACESE3 0 3 12
MTK711 INTRODUCTION TO SPECTRAL ANALYSISE3 0 3 12
MTK713 SELECTED TOPICS IN NONLINEAR FUNCTIONAL ANALYSIS IE3 0 3 12
MTK715 MATHEMATICAL METHODS of PHYSICS IE3 0 3 12
MTK719 TOPOLOGICAL VECTOR SPACES IE3 0 3 12
MTK721 FUNCTIONAL ANALYSIS METHODS IN PARTIAL DIFF. EQ.E3 0 3 12
MTK723 K-THEORY of C*-ALGEBRASE3 0 3 12
MTK729 INTRODUCTION TO REPRESENTATION THEORY of ALG. IE3 0 3 12
MTK731 FIELD THEORYE3 0 3 12
MTK733 RING and MODULE THEORYE3 0 3 12
MTK735 COMMUTATIVE ALGEBRA IE3 0 3 12
MTK737 SELECTED TOPICS IN ALGEBRA IE3 0 3 12
MTK739 GENERALIZED MODULE CLASSES IE3 0 3 12
MTK743 SELECTED TOPICS IN GEOMETRY IE3 0 3 12
MTK745 HOMOLOGICAL ALGEBRA IE3 0 3 12
MTK749 TORIC VARIETIES IE3 0 3 12
MTK757 SELECTED TOPICS IN TOPOLOGY IE3 0 3 12
MTK759 SELECTED TOPICS IN ALGEBRAIC GEOMETRYE3 0 3 12
MTK761 ALGEBRAIC TOPOLOGY IE3 0 3 12
MTK765 TOPOLOGY of 3-MANIFOLDSE3 0 3 12
MTK767 BITOPOLOGICAL SPACE IE3 0 3 12
MTK769 ADVANCED TOPOLOGY IE3 0 3 12
Total ECTS credits (Elective courses) 30
1st Semester Total ECTS 30

2nd Semester

CODE COURSE NAME M/E T P C ECTS
MTK700 SEMINARM2 2 3 30
Total ECTS credits (Must courses) 2 2 3 30
CODE COURSE NAME M/E T P C ECTS
MTK704 INTRODUCTION TO CATEGORY THEORYE3 0 3 12
MTK714 SELECTED TOPICS IN NONLINEAR FUNCTIONAL ANALY. IIE3 0 3 12
MTK716 MATHEMATICAL METHODS of PHYSICS IIE3 0 3 12
MTK720 TOPOLOGICAL VECTOR SPACES IIE3 0 3 12
MTK722 ATTRACTORS FOR THE PARTIAL DIFFERANTIAL EQUATIONSE3 0 3 12
MTK728 INTRODUCTION TO REPRESENTATION THEORY of ALG. IIE3 0 3 12
MTK732 ALGEBRAIC NUMBER THEORYE3 0 3 12
MTK734 GROUP RINGS E3 0 3 12
MTK736 COMMUTATIVE ALGEBRA IIE3 0 3 12
MTK738 SELECTED TOPICS IN ALGEBRA IIE3 0 3 12
MTK740 GENERALIZED MODULE CLASSES IIE3 0 3 12
MTK744 SELECTED TOPICS IN GEOMETRY IIE3 0 3 12
MTK746 HOMOLOGICAL ALGEBRA IIE3 0 3 12
MTK750 TORIC VARIETIES IIE3 0 3 12
MTK754 HYPERBOLIC MANIFOLDSE3 0 3 12
MTK758 SELECTED TOPICS IN TOPOLOGY IIE3 0 3 12
MTK762 ALGEBRAIC TOPOLOGY IIE3 0 3 12
MTK766 TOPOLOGY of 4-MANIFOLDSE3 0 3 12
MTK768 BITOPOLOGICAL SPACE IIE3 0 3 12
MTK770 ADVANCED TOPOLOGY IIE3 0 3 12
Total ECTS credits (Elective courses) 0
2nd Semester Total ECTS 30

3rd Semester

CODE COURSE NAME M/E T P C ECTS
MTK795 NONLINEAR DIFFERENTIAL EQUATIONSE3 0 3 12
Total ECTS credits (Elective courses) 30
3rd Semester Total ECTS 30

4th Semester

CODE COURSE NAME M/E T P C ECTS
MTK701 PREPARATION TO DOCTORAL PROFICIENYM0 4 2 30
Total ECTS credits (Must courses) 0 4 2 30
Total ECTS credits (Elective courses) 0
4th Semester Total ECTS 30

5th Semester

CODE COURSE NAME M/E T P C ECTS
MTK799-01 RESEARCH PHD THESISM5 0 5 30
Total ECTS credits (Must courses) 5 0 5 30
Total ECTS credits (Elective courses) 0
5th Semester Total ECTS 30

6th Semester

CODE COURSE NAME M/E T P C ECTS
MTK799-02 RESEARCH PHD THESISM5 0 5 30
Total ECTS credits (Must courses) 5 0 5 30
Total ECTS credits (Elective courses) 0
6th Semester Total ECTS 30

7th Semester

CODE COURSE NAME M/E T P C ECTS
MTK799-03 RESEARCH PHD THESISM5 0 5 30
Total ECTS credits (Must courses) 5 0 5 30
Total ECTS credits (Elective courses) 0
7th Semester Total ECTS 30

8th Semester

CODE COURSE NAME M/E T P C ECTS
MTK799-04 RESEARCH PHD THESISM5 0 5 30
Total ECTS credits (Must courses) 5 0 5 30
Total ECTS credits (Elective courses) 0
8th Semester Total ECTS 30

Any Semester/Year

CODE COURSE NAME M/E T P C ECTS
MTK730 FINITE FIELDS and THEIR APPLICATIONSE3 0 3 12
MTK771 GEOMETRIC TOPOLOGY E3 0 3 12
MTK786 POST QUANTUM CRYPTOGRAPHYE3 0 3 12
MTK789 CRYPTOGRAPHIC FUNCTIONSE3 0 3 12
PROGRAM ECTS SUMMARY
Semesters ECTS credits in total for Must Courses180
Semesters ECTS credits in total for Elective Courses60
Sum of ECTS credits required for graduation from the program240