Study programme - Approved
Academic year:
 2025/2026
Study programme:
 Mathematics (dMATa/x)
(Single degree study, Ph.D. III. deg., external form)
Teaching language: English
Study field:
 22. Mathematics
Person responsible for the delivery, development and quality of the study programme:
 prof. RNDr. Róbert Jajcay, DrSc.

Study section
Compulsory courses

Block: Obligatory Subjects
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MAT-101/22  Individual Study of Science and Research Resources (1) - FMFI.KAG, tutor 1/W    10IW   10        
 3-MAT-102/22  Individual Study of Science and Research Resources (2) - FMFI.KAG, tutor 1/S    10IW   10        
 3-MAT-103/22  Individual Study of Science and Research Resources (3) - FMFI.KAG, tutor 2/W    10IW   10        
 3-MAT-104/22  Individual Study of Science and Research Resources (4) - FMFI.KAG, tutor 2/S    10IW   10        
 3-MAT-105/22  Individual Study of Science and Research Resources (5) - FMFI.KAG, tutor 3/W    10IW   10        
 3-MAT-113/25  Completion of Defined Stage of PhD Research Project (1) - FMFI.KAG, tutor 3/W      10        
 3-MAT-106/22  Individual Study of Science and Research Resources (6) - FMFI.KAG, tutor 3/S    10IW   10        
 3-MAT-114/25  Completion of Defined Stage of PhD Research Project (2) - FMFI.KAG, tutor 3/S      10        
 3-MAT-107/22  Individual Study of Science and Research Resources (7) - FMFI.KAG, tutor 4/W    10IW   10        
 3-MAT-115/25  Completion of Defined Stage of PhD Research Project (3) - FMFI.KAG, tutor 4/W      10        
 
Compulsory elective courses

Block: Obligatory-Optional Subjects min. 40 credits
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MMA-023/15  Nonlinear Functional Analysis - M. Fečkan 1/W    2L   10   C      
 3-MMA-012/22  Semigroups and Evolution Equations - P. Quittner 1/W    2L   10   C      
 3-MDM-025/10  Topological Graph Theory - M. Škoviera 1/W    2L   10   C      
 3-MGT-012/00  Algebraic Topology (1) - T. Macko 1/W    4L   10   C      
 3-MGT-008/22  Commutative Algebra - P. Chalmovianský, M. Mačaj 1/W    4L   10   C      
 3-MGT-024/10  Contemporary Geometric Modeling - P. Chalmovianský 1/W    4L   10   C      
 3-MGT-030/10  General Topology - T. Macko, J. Guričan 1/W    4L   10   C      
 3-MGT-021/25  Fundamentals of Geometry - J. Chalmovianská, T. Macko 1/W    2L   10   C      
 3-MMA-028/15  Partial Differential Equations - E. Viszus 1/S    2L   10   C      
 3-MMA-022/15  Dynamical Systems and Bifurcation Theory - M. Fečkan, M. Pospíšil 1/S    2L   10   C      
 3-MDM-027/10  Classic Algebraic Structures - M. Mačaj 1/S    2L   10   C      
 3-MNA-002/00  Numerical Methods for Solving ODEs - H. Šmitala Mizerová 1/S    2L   10   C      
 3-MDM-029/10  Algebraic Theory of Graphs - M. Škoviera, R. Jajcay 1    2L   10   C      
 3-MGT-013/25  Algebraic Topology (2) - T. Macko 1/S    2L   10   C      
 3-MGT-016/25  Global Differential Geometry - P. Chalmovianský 1/S    2L   10   C      
 3-MGT-023/25  Classical Differential Geometry - P. Chalmovianský 1/S    2L   10   C      
 3-MGT-027/10  Visualisation and Virtual Environments - A. Ferko 1/S    4L   10   C      
 3-MMA-021/15  Functional Differential Equations - J. Jaroš 2/W    2L   10   C      
 3-MAM-009/15  Models of Fluids Dynamics - P. Guba 2/W    2L   10   C      
 3-MAM-005/00  Biomathematics - R. Kollár 2/W    2L   10   C      
 3-MNA-003/00  Variational Methods of Solving of PDEs - M. Fečkan 2/W    2L   10   C      
 3-MGT-010/25  Algebraic Geometry - P. Chalmovianský 2/W    4L   10   C      
 3-MGT-026/25  Machine Vision and Image Processing - A. Ferko 2/W    2L   10   C      
 3-MGT-031/25  Category Theory - T. Macko 2/W    2L   10   C      
 3-MGT-017/25  Selected Topics in Low-Dimensional Topology - M. Niepel, T. Macko 2/W    2L   10   C      
 3-MAM-014/00  Asymptotic Methods - P. Guba 2/S    2L   10   C      
 3-MNA-004/00  Numerical Methods for Conservation Law - J. Filo, H. Šmitala Mizerová 2/S    2L   10   C      
 3-MGT-014/25  Differential Topology - T. Macko 2/S    2L   10   C      
 3-MGT-002/25  Constructive Applied Geometry - P. Chalmovianský 2/S    2L   10   C      
 3-MGT-015/25  Lie Groups and Algebras - M. Niepel, T. Macko 2/S    2L   10   C      
 3-MGT-032/15  Real Algebraic Geometry - P. Chalmovianský 2/S    4L   10   C      
 3-MGT-025/10  Trends and Applications of Computer Graphics - A. Ferko 2/S    4L   10   C      
 3-MGT-018/25  Introduction to Symplectic Topology - M. Niepel, T. Macko 2/S    2L   10   C      
 3-MDM-028/10  Algorithmics for Hard Problems - R. Kráľovič W    2L   10   C      
 3-MDM-030/10  Graph Theory Methods in Computer Science - R. Kráľovič W    2L   10   C      
 3-MDM-024/22  Probabilistic Methods in Combinatorics - R. Lukoťka W    2L   10   C      
 3-MDM-035/15  Selected Topics in Modern Graph Theory - M. Škoviera, E. Mačajová     2L   10   C      
 3-MDM-031/10  Advanced Linear Algebra - P. Zlatoš, M. Škoviera     2L   10   C      
 3-MDM-034/10  Selected Topics in Group Theory - P. Zlatoš, M. Škoviera, R. Jajcay     2L   10   C      
 3-MNA-005/15  Finite Element Methods - J. Filo, H. Šmitala Mizerová W    2L   10   C      
 
Elective courses

Block: Electives
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MXX-101/15  Course of English for PhD Studies (1) - A. Zemanová, S. Dobiašová W    2P   5        
 3-MXX-102/15  Course of English for PhD Studies (1) - A. Zemanová, S. Dobiašová S    2P   5        
 3-MAT-023/22  Subject of Specialisation - FMFI.KAG, tutor     10IW   10        
 

Research section

Block: Independent Research
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MAT-203/22  Seminar in Science (1) - M. Škoviera, P. Quittner 1/S      10        
 3-MAT-204/22  Seminar in Science (2) - M. Škoviera, P. Quittner 2/S      10        
 3-MAT-205/22  Seminar in Science (3) - M. Škoviera, P. Quittner 3/S      10        
 3-MAT-206/22  Seminar in Science (4) - M. Škoviera, P. Quittner 4/S      10        
 3-MAT-207/22  Response to a Publication - FMFI.KAG, tutor S    5O   5        
 3-MAT-201/22  Publication in an A-category Periodical - FMFI.KAG, tutor S    30IW   30        
 3-MAT-222/25  Category B Publication - FMFI.KAG, tutor S      25        
 3-MAT-223/25  Category C Publication - FMFI.KAG, tutor S      20        
 3-MAT-224/25  Category D Publication - FMFI.KAG, tutor S      10        
 3-MAT-202/22  Publication in a Reviewed Periodical or Reviewed Almanac - FMFI.KAG, tutor S    15IW   15        
 3-MAT-208/22  Scientific Project Co-researcher - FMFI.KAG, tutor S    10IW   10        
 3-MAT-209/22  Presentation at a Home Conference - FMFI.KAG, tutor S    5IW   10        
 3-MAT-210/22  Presentation at an International Conference - FMFI.KAG, tutor S    20IW   20        
 3-MAT-211/22  Obtaing the Comenius University Grant for the Young - FMFI.KAG, tutor S    20IW   20        
 3-MAT-212/22  Organisation of Science Events - FMFI.KAG, tutor S    10IW   10        
 3-MAT-213/22  PhD Students´ Mobility - FMFI.KAG, tutor S    10IW   10        
 3-MAT-214/22  Introduction of Novel Experimental Method Linked with PhD Project - FMFI.KAG, tutor 4/S      5        
 3-MAT-215/22  Development of Novel Software Product Linked with PhD Project - FMFI.KAG, tutor 4/S      5        

Other activities

Block: Teaching Activities
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MAT-801/22  Teaching Practice in the Winter Semester - FMFI.KAG 1/W    5O   5        
 3-MAT-802/22  Teaching Practice in the Summer Semester - FMFI.KAG 1/S    5O   5        
 3-MAT-803/22  Teaching Practice in the Winter Semester - FMFI.KAG 2/W    5O   5        
 3-MAT-804/22  Teaching Practice in the Summer Semester - FMFI.KAG 2/S    5O   5        
 3-MAT-805/22  Teaching Practice in the Winter Semester - FMFI.KAG 3/W    5O   5        
 3-MAT-806/22  Teaching Practice in the Summer Semester - FMFI.KAG 3/S    5O   5        
 3-MAT-807/22  Teaching Practice in the Winter Semester - FMFI.KAG 4/W    5O   5        
 3-MAT-808/22  Teaching Practice in the Summer Semester - FMFI.KAG 4/S    5O   5        
 3-MAT-809/22  Guidance of a Final Thesis or of a Project for the Students´ Conference - FMFI.KAG, tutor S    10O   10        
 3-MAT-811/25  Writing BSc Thesis Assessment Protocol - FMFI.KAG, tutor S      4        
 3-MAT-813/25  Creation of Teaching Texts and Aids - FMFI.KAG, tutor S      6        

State exams
Compulsory courses

Block: State Examination
Subject code Subject title Credits Current
 3-MAT-950/22  Passing Dissertation Examination 20        
 3-MAT-990/22  Dissertation Thesis Defense 30        
 

Such a symbol can occur after the teaching range: d - days in a semester, h - hours in a week, r - hours in a year, s - hours in a semester, t - weeks in a semester
When none of these symbols are given, expected range of teaching is "hours in a week".
Form: L - lecture, P - practicals, S - seminar, C - course, LP - laboratory practicals, X - practice, IW - independent work, E - excursion, O - other, p - practical, TS - training session, FW - fieldwork, I - internship