Study plan - Approved
Academic year:
 2025/2026
Study programme:
 Md - matematika - (jednoodborové štúdium, doktorandské III. st., denná forma)
Study field:
 22. - Mathematics
 

Study section
Min. 60 Credits
Compulsory courses

Block - I
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
CJP/AJD1/07  English Language for PhD Students 1   2 2P  PaS  1  W  Kolaříková, Kupková 
CJP/AJD2/07  English Language for PhD Students 2   3 2P  PaS  1  S  Kolaříková 
ÚMV/dISLa/14  Individual study of scientific literature I   12   A  1     
ÚMV/dISLb/14  Individual study of scientific literature II   12   A  2     

 
 
Compulsory elective courses
 Študent si vyberie jedno z dvoch zameraní "Diskrétna matematika" alebo "Matematická analýza a štatistika" a z príslušných blokov si zapíše predmety za stanovené počty kreditov.

Block - Diskrétna matematika 1 Min. 14  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dPTGa/25  Advanced graph theory I   7 4L  S  1, 2  W  Madaras, Fabrici, Soták 
ÚMV/dTTG/10  Topological graph theory   7 4L  S  1, 2  W  Soták 
ÚMV/dTGP/25  Group theory   7 4L  S  1, 2  S  Ploščica 
ÚINF/VYMD/15  Computational complexity and models   9 2L  S  1, 2  W  Geffert 


Block - I Min. 14  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dCTG/25  Chromatic graph theory   7 3L  S  1, 2  W  Soták 
ÚMV/dKOA/25  Combinatorial algorithms   7 4L  S  1, 2  S  Soták 
ÚMV/dTPG/14  Theory of planar graphs   7 4L  S  1, 2  W  Madaras 
ÚMV/dPMK/10  Probability method in combinatorics   7 4L  S  1, 2  W  Fabrici 
ÚMV/dPTGb/25  Advanced graph theory II   7 3L  S  1, 2  S  Soták, Madaras, Fabrici 
ÚMV/dTMT/10  Matroid theory   7 4L  S  1, 2  W  Soták 
ÚMV/dTZV/25  Lattice theory   7 3L  S  1, 2  S  Ploščica 
ÚMV/dEKO/10  Enumeration of combinatorial objects   7 4L  S  1, 2  S  Fabrici 
ÚMV/dATH/22  Algorithmic game theory   7 4L  S  1, 2  S  Cechlárová 
ÚMV/dDME/10  Discrete models of mathematical economics   8 3L  S  1, 2  W  Cechlárová 
ÚMV/dPME/14  Matching models in economics   7 4L  S  1, 2  S  Cechlárová 


Block - Matematická analýza a štatistika 1 Min. 15  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dFAN/10  Functional analysis   8 2L + 2P  S  1, 2  S  Doboš 
ÚMV/dDIR/14  Differential and integral equations   8 3L  S  1, 2  W  Kiseľák 
ÚMV/dNMI/11  Non-additive measures and integrals   7 4L  S  1, 2  W  Hutník 
ÚMV/dPMS/10  Advanced statistical methods   8 3L  S  1, 2  S  Žežula 
ÚMV/dVKO/25  Variance components   7 3L  S  1, 2  S  Klein, Žežula 


Block - Matematická analýza a štatistika 2 Min. 14  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dTRF/10  Real functions theory   8 3L  S  1, 2  W  Doboš 
ÚMV/dTOP/25  Topology   7 3L  S  1, 2  S  Kiseľák, Šupina 
ÚMV/dCFA/14  Methods of time-frequency analysis   7 4L  S  1, 2  S  Hutník 
ÚMAT/dSAA/25  Stochastic analysis and applications   7 2L + 2P  S  1, 2  S  Kiseľák 
ÚMV/dTOR/25  Optimal control theory   7 3L + 2P  S  1, 2  W  Cechlárová 
ÚMV/dMPS/25  Matrices in statistics   7 3L  S  1, 2  W  Žežula 
ÚMV/dTRH/10  Risk and extreme value theory   8 3L  S  1, 2  W  Hančová, Lučivjanská 
ÚMV/dPNP/25  Advanced stochastic processes   8 3L  S  1, 2  S  Hančová 
ÚINF/ZSUD/22  Basics of machine learning   7 2L + 2P  S  1, 2  W  Antoni 
ÚINF/PAHD/15  Probabilistic and approximate algorithms   9 2L + 1P  S  1, 2  S  Geffert, Semanišin 

 
 
Elective courses

Block - Pedagogicko-psychologický blok
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
KPE/PgVU/17  Pedagogy for University Teachers   5 28sL  A    W  Orosová 
KPPaPZ/PsVU/17  Psychology for University Lecturers   5 28sL  A    S  Janovská 

 
 

Research section

Block - Scientific papers published Min. 25  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dQ1V/24  Scientific publication in Q1 journal with significant author's contribution   40   A       
ÚMV/dQ1M/24  Scientific publication in Q1 journal   30   A       
ÚMV/dQ2V/24  Scientific publication in Q2 journal with significant author's contribution   30   A       
ÚMV/dQ2M/24  Scientific publication in Q2 journal   20   A       
ÚMV/dQ3V/24  Scientific publication in Q3 journal with significant author's contribution   25   A       
ÚMV/dQ3M/24  Scientific publication in Q3 journal   15   A       
ÚMV/dQ4V/24  Scientific publication in Q4 journal with significant author's contribution   20   A       
ÚMV/dQ4M/24  Scientific publication in Q4 journal   10   A       
ÚMV/dPZC/24  Scientific publication in international journal   8   A       
ÚMV/dPRZ/24  Scientific publication in peer-reviewed proceedings   5   A       
ÚMV/dPDC/24  Publication in local journal   6   A       
ÚMV/dPNZ/24  Publication in non-reviewed proceedings   2   A       
ÚMV/dPZR/24  Submitted scientific work   10   A       


Block - Active Presentation of Results Min. 16  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dPZK/24  Presentation of results at international conference   10   A       
ÚMV/dPDZ/24  Presentation of results at local conference with international participation   5   A       
ÚMV/dPDK/24  Presentation of results at local conference   2   A       
Dek. PF UPJŠ/JSD/14  Spring School for PhD Students   2 4dL  A    S  Kireš 


Block - Outputs
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dCSC/24  SCI or Scopus citation   8   A       
ÚMV/dCMG/22  Citation in monograph   8   A       
ÚMV/dCZC/22  Citation in international scientific journal   4   A       
ÚMV/dCDC/22  Citation in Slovak scientific journal   2   A       


Block - Other outputs
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dSMP/22  Co-investigator of international project   15   A       
ÚMV/dSDP/24  Co-investigator of national project   10   A       
ÚMV/dSPA/24  Co-investigator of applied research project   5   A       
ÚMV/dZVG/24  Principal investigator of internal grant (VVGS)   10   A       
ÚMV/dSVG/24  Co-investigator of internal grant (VVGS)   5   A       
ÚMV/dPSM/24  Presentation of results in seminar   5   A       
ÚMV/dSVU/24  Software in public repository   5   A       


Other activities

Block - I
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dPPC4/24  Teaching activities 4 h/s   8   A       
ÚMV/dPPC3/24  Teaching activities 3 h/s   6   A       
ÚMV/dPPC2/24  Teaching activities 2 h/s   4   A       
ÚMV/dPPC1/24  Teaching activities 1 h/s   2   A       
ÚMV/dZSP2/24  International study stay over 30 days   10   A       
ÚMV/dZSP1/24  International study stay up to 30 days   5   A       
ÚMV/dPPV/24  Popularisation of science   5   A       
ÚMV/dPOV/24  Membership in conference organising commiittee   3   A       
ÚMV/dVZP/24  Thesis supervising   8   A       
ÚMV/dKZP/24  Thesis consultant   4   A       
ÚMV/dVSS/24  Supervision of student scientific work   8   A       
ÚMV/dVOP/24  Elaboration of reviewer report   3   A       
ÚMV/dCOK/24  Certified training course   4   A       


State exams
Compulsory courses

Block - I
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dDZS/24  Dissertation exam   20   SS       
ÚMV/dODP/24  PhD thesis defence   30   OB       

 
 
Compulsory elective courses
 
 

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"
Other signs can occur next to the courses of the study programmes
! - course will not be implemented in the given academic year
+ - course will not be implemented, perhaps the next academic year
- - course is implemented for the last time

* - course has more prerequisites

Explanatory notes:

Range: L - Lecture, P - Practice
Semester: W - Winter, S - Summer
End: S - Examination, H - Evaluation, Z - Credit Exam, A - Passing, PaS - Continuous assessment with examination, P - Continuous assessment / Practice