Study plan - Approved
Academic year:
 2021/2022
Study programme:
 DMd - Discrete Mathematics - (Single degree study, Ph.D. III. deg., Full-Time form)
Study field:
 22. - Mathematics
 

Study section
Min. 60 Credits
Compulsory courses

Block - I
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dTGF/10  Graph theory   5 3L  S  1  W  Soták, Horňák, Madaras, Fabrici 
CJP/AJD1/07  English Language for PhD Students 1   2 2P  PaS  1  W  Petruňová, Kolaříková 
CJP/AJD2/07  English Language for PhD Students 2   3 2P  PaS  1  S  Petruňová, Kolaříková 
ÚMV/dISLa/14  Individual study of scientific literature I   12   A  1     
ÚMV/dTGR/10  Group theory   7 4L  S  2  S  Ploščica 
ÚMV/dISLb/14  Individual study of scientific literature II   12   A  2     

 
 
Compulsory elective courses Min. 19 Credits

Block - I Min. 19  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dVTGa/10  Selected topics in graph theory I   7 2L  S  1  S  Soták, Horňák, Madaras, Fabrici 
ÚMV/dTMT/10  Matroid theory   7 4L  S  1, 2  W  Horňák 
ÚMV/dTTG/10  Topological graph theory   7 4L  S  1, 2  W  Soták 
ÚMV/dTPG/14  Theory of planar graphs   7 4L  S  1, 2  W  Madaras 
ÚMV/dUAL/10  Universal algebra   5 3L  S  1, 2  W  Studenovská 
ÚMV/dEKO/10  Enumeration of combinatorial objects   7 4L  S  1, 2  S  Horňák 
ÚMV/dPMK/10  Probability method in combinatorics !  7 4L  S  1, 2  W  Fabrici 
ÚMV/dUAS/10  Ordered algebraic structures   5 3L  S  1, 2  S  Studenovská 
ÚMV/dKOA/10  Combinatorial algorithms   5 3L  S  1, 2  S  Maceková 
ÚMV/dTZV/10  Lattice theory   5 2L  S  1, 2  S  Ploščica 
ÚMV/dKOM/10  Combinatorics   5 3L  S  2  W   
ÚINF/VYMD/15  Computational complexity and models   9 2L  S  2  W  Geffert 
ÚMV/dVTGb/10  Selected topics in graph theory II   7 2L  S  2  W  Soták, Horňák, Madaras, Studenovská 
ÚMV/dPLT/10  Polyhedral theory   7 4L  S  2  S  Madaras 

 
 
Elective courses

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

 Certifikované interdisciplinárne bloky
 Študent si volí jeden alebo viac certifikovaných interdisciplinárnych blokov na základe aktuálnej ponuky: IB1, IB2, IB3, IB4, IB5, IB6, IB7, IB8, IB9, IB10, IB11,
 IB12.
 Absolvovaním predpísaných predmetov z vybraného certifikovaného interdisciplinárneho bloku získa študent certifikát UPJŠ alebo medzinárodne uznávaný
 certifikát.
 Postup pre zápis predpísaných predmetov zvoleného certifikovaného interdisciplinárneho bloku nájdete na: https://rifiv.ccv.upjs.sk/CIB/ako-si-zapisatpredmety.
 Certifikované interdisciplinárne bloky boli vytvorené v rámci projektu „Rozvoj inovatívnych foriem vzdelávania a podpora interdisciplinarity štúdia na Univerzite
 Pavla Jozefa Šafárika v Košiciach (RIFIV)“. Bližšie informácie nájdete na: https://rifiv.ccv.upjs.sk/CIB
 

Certified study programmes
Abbreviation Name
IB1
 Ethics in Biomedical Sciences For Medical Practice
IB10
 International certificate ECo-C
IB11
 International certificate ECDL
IB12a
 Use, Administration, and Development in the SAP System – Administrator
IB12p
 Use, Administration, and Development in the SAP System – Programmer
IB12u
 Use, Administration, and Development in the SAP System – User
IB13
 Psychological, social, and cultural aspects of health
IB2
 Essentials of Law – Aspects of Private Law
IB3
 Essentials of Law – Aspects of Public Law
IB4
 Project Management
IB5
 Closed-end Economy
IB6
 Conflict and Crisis Situations Resolving in Educational Practice
IB9
 International certificate of TOEFL
ITpP
 IT for practice
Z-E-S
 Foreign Erasmus Internship

 

Research section
Min. 90 Credits

Block - Scientific papers published Min. 25  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dPCW/12  Scientific publication registered in the database Web of Science or Scopus   20   A       
ÚMV/dPCR/12  Scientific publication registered in the database Math. Reviews or Zentralblatt MATH   15   A       
ÚMV/dPRZ/12  Scientific publication in peer-reviewed proceedings   5   A       


Block - Active Presentation of Results Min. 16  Credits
 Konferencia je považovaná za medzinárodnú, ak aspoň polovica jej účastníkov je neslovenských. Pod vnútorným grantom sa rozumie grant získaný v rámci Vnútorného vedeckého grantového systému UPJŠ alebo Vnútorného vedeckého grantového systému PF UPJŠ.
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dVMK/14  Presentation of results at an international conference   6   A       
ÚMV/dPDZ/12  Presentation of results at a local conference with international participation   4   A       
ÚMV/dPDK/12  Presentation of results at a local conference   2   A       
ÚMV/dPSM/12  Presentation of results in a seminar   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/12  SCI or SCOPUS citation   20   A       
ÚMV/dCMG/12  Citation in a monograph   20   A       
ÚMV/dCZC/12  Citation in an international scientific journal   10   A       
ÚMV/dCDC/12  Citation in a Slovak scientific journal   5   A       


Block - Other outputs
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dZMG/14  Obtaining of a mobility grant   10   A       
ÚMV/dSVG/12  Co-researcher of an internal grant   10   A       
ÚMV/dSMP/14  Co-researcher of an international project   3   A       
ÚMV/dSVP/14  Co-researcher of an APVV or VEGA project   2   A       


Other activities
Min. 25 Credits

Block - I Min. 25  Credits
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dPPC/12  Semestral pedagogical activity   5   A       
ÚMV/dZSP/12  Study stay abroad   4   A       
ÚMV/dVBP/12  Supervising a bachelor thesis   6   A       
ÚMV/dVOP/12  Reviewer report   2   A       
ÚMV/dVPS/12  Supervising a student's scientific work   6   A       
ÚMV/dPOV/12  Conference organising commiittee membership   2   A       


State exams
Compulsory courses

Block - I
Abbreviation Name Current Credit Range End Year Sem. Prerequisites Teacher
ÚMV/dDZS/14  Dissertation examination   20   SS       
ÚMV/ODP/14  PhD thesis defence   30   OB       
ÚMV/PDS/18  Writing dissertation work       OB       

 
 
Compulsory elective courses
 
 

Such a symbol can occur after the teaching range:
d - Days in a semester
h - Hours in a week
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