PhD in Mathematics (3 years, 180 ECTS)

The Structure of the Study Programme

Name and the Goals of the Study Programme

The study program Mathematics is a Ph.D. program in mathematical sciences carried out by the Department of Mathematics and Informatics of the Faculty of Science, University of Novi Sad.

Professional Title, Academic, or Scientific Title

Upon completion of the program, the students receive the title of a doctor of mathematical sciences.

Admission Conditions

Applicants for admission must previously acquire at least 300 ECTS points on academic bachelor and master studies in mathematics or closely related fields. In accordance to our strategic guidelines oriented towards a dynamic development of young researchers, the basic principle of the program is the free choice of courses comprising the curriculum. Upon admittance, an advisor is assigned to each student.

The Time Allotted for the Realization of Particular Study Forms

Its duration is 3 academic years (6 semesters).

Credit Values of Particular Courses

Total credit value of 180 ECTS. The student and her/his advisor define an individual curriculum and work out its details, bearing in mind student’s research interests. This comprises a total of 8 courses which should be completed in the first 4 semesters, along with defending 4 seminar papers which are meant to contribute to further development of research skills. Each course and seminar paper are worth 10 ECTS points, a total of 120 ECTS during the first two academic years.

Diploma Work

The third year is entirely devoted to writing the Ph.D. thesis, the value of which is the remaining 60 ECTS.

The Curriculum

A Distribution of the Courses into Semesters and Academic Years


No.	Corse Code	Course Title	Semester	Course Type	Actuve Teaching Hours		ECTS
					Lectures	SRW	SRW
FIRST YEAR
1		Elective course 1	I	Elec.	4	2	10
2		Elective course 2	I	Elec.	4	2	10
3	SR-01	Seminar paper 1	I	Comp.	-	8	10
4		Elective course 3	II	Elec.	4	2	10
5		Elective course 4	II	Elec.	4	2	10
6	SR-02	Seminar paper 2	II	Comp.	-	8	10
Active teaching hours – total					40
ECTS – total							60
SECOND YEAR
1		Elective course 5	III	Elec.	4	2	10
2		Elective course 6	III	Elec.	4	2	10
3	SR-03	Seminar paper 3	III	Comp.	-	8	10
4		Elective course 7	IV	Elec.	4	2	10
5		Elective course 8	IV	Elec.	4	2	10
6	SR-04	Seminar paper 4	IV	Comp.	-	8	10
Active teaching hours – total					40	40	40
ECTS – total							60
THIRD YEAR
1	DD-01	Ph.D. thesis	V	Comp.	-
			VI	Comp.	-		60
Active teaching hours – total					40
ECTS – total							60

Course type: AO-academic and general education, ТМ-theoretical-methodological, SP-scientific-professional, PА-professional applicative
Course status: O-obligatory, E-elective block
Teaching hours: L-lecture, E-exercise, АE-auditory exercises, LE-laboratory exercises, OTF-other teaching forms (seminar work, etc.), SRW-study research work

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Elective courses in the Study Program


No.	Corse Code	Course Title	Course instructor(s)	Subfield
			Course instructor(s)	Subfield
1	AN-01	Algebras of Generalized Functions	Dora Seleši	An&P
2	AN-02	Analysis on Manifolds	Stevan Pilipović	An&P
3	AN-03	Classical Measure Theory	Endre Pap	An&P
4	AN-04	Linear Partial Differential Equations	Marko Nedeljkov	An&P
5	AN-05a	Wavelets and Gabor Analysis 1	Nenad Teofanov	An&P
6	AN-05b	Wavelets and Gabor Analysis 2	Nenad Teofanov	An&P
7	AN-06	Non-additive Measures	Endre Pap	An&P
8	AN-07	Non-linear Partial Differential Equations	Marko Nedeljkov	An&P
9	AN-08	Operator Semigroups	Stevan Pilipović	An&P
10	AN-09	Applications of Partial Differential Equations	Marko Nedeljkov	An&P
11	AN-10	Spaces of Functions	Jelena Aleksić	An&P
12	AN-11	Pseudo-analysis	Endre Pap	An&P
13	AN-12a	Pseudo-differential and Fourier Integral Operators 1	Stevan Pilipović	An&P
14	AN-12b	Pseudo-differential and Fourier Integral Operators 2	Stevan Pilipović	An&P
15	AN-13	Stochastic Processes and Chaos Expansion	Dora Seleši	An&P
16	AN-13a	Generalized Stochastic Processes	Danijela Rajter-Ćirić	An&P
17	AN-13b	Stochastic Differential Equations	Dora Seleši	An&P
18	AN-14	Probability Theory	Danijela Rajter-Ćirić	An&P
19	AN-15	Topology 1	Ljiljana Gajić	An&P
20	AN-16	Topology 2	Olga Hadžić	An&P
21	AN-17	Topology 3	Olga Hadžić	An&P
22	AN-18	Topology 4	Miloš Kurilić	An&P
23	AN-19	Generalized Functions and Transformations	Stevan Pilipovicć	An&P
24	AN-20	Aggregation Functions	Endre Pap	An&P
25	AN-21	Functional Analysis and Operator Theory 1	Stevan Pilipović	An&P
26	AN-22	Functional Analysis and Operator Theory 2	Stevan Pilipović	An&P
27	AN-23	Generalized Functions on Manifolds	Sanja Konjik	An&P
28	AN-24	Lie Group Applications to Differential Equations	Sanja Konjik	An&P
29	AN-25	Semi-Riemannian Geometry	Sanja Konjik	An&P
30	AL-01	Algebraic Logic	Rozália Sz. Madarász	Al&L
31	AL-02	Boolean Algebras	Miloš Kurilić	Al&L
32	AL-03	Combinatorial Group Theory	Petar Marković	Al&L
33	AL-04	Mathematical Logic	Siniša Crvenković	Al&L
34	AL-05	General Algebra	Siniša Crvenković, Andreja Tepavčević	Al&L
35	AL-06	Model Theory 1	Maja Peh, Boris Šobot	Al&L
36	AL-07	Model Theory 2	Maja Peh, Boris Šobot	Al&L
37	AL-08	Lattice Theory 1	Andreja Tepavčević	Al&L
38	AL-09	Lattice Theory 2	Branimir Šešelja	Al&L
39	AL-10	Semigroup Theory 1	Igor Dolinka	Al&L
40	AL-11	Semigroup Theory 2	Igor Dolinka	Al&L
41	AL-12	Ring Theory	Igor Dolinka	Al&L
42	AL-13	Fuzzy Set Theory 1	Branimir Šešelja	Al&L
43	AL-14	Fuzzy Set Theory 2	Andreja Tepavčević	Al&L
44	AL-15	Set Theory 1	Miloš Kurilić	Al&L
45	AL-16	Set Theory 2	Miloš Kurilić	Al&L
46	AL-17	Theory of Ordered Sets	Branimir Šešelja	Al&L
47	AL-18	Universal Algebra 1	Petar Marković	Al&L
48	AL-19	Universal Algebra 2	Petar Marković	Al&L
49	AL-20	Mathematical Logic 1	Rozália Sz. Madarász	Al&L
50	AL-21	Mathematical Logic 2	Boris Šobot	Al&L
51	DM-01	Combinatorics	Ivica Bošnjak	DM
52	DM-02	Graph Theory 1	Vojislav Petrović	DM
53	DM-03	Graph Theory 2	Vojislav Petrović	DM
54	ММ-01	Mathematical Models in Technical Sciences	Srboljub Simić	ММ
55	ММ-02	Mathematical Models in Finance	Nataša Krejić	ММ
56	ММ-03	Methods of Functional Analysis in Mechanics	Teodor Atanacković	ММ
57	ММ-04	Operations Research	Nataša Krejić	ММ
58	NМ-01	Iterative Methods for Linear Problems	Ljiljana Cvetković	NM
59	NМ-02	Numerical Optimization	Nataša Krejić	NM
60	NМ-03	Numerical Methods for Mathematical Models in Economics	Zorana Lužanin	NM
61	NМ-04	Numerical Algorithms in Linear Algebra	Ljiljana Cvetković	NM
62	NМ-05	Numerical Solving of Differential Equations	Helena Zarin	NM
63	NМ-06	Numerical Solving of Parabolic Partial Differential Equations	Helena Zarin	NM
64	NМ-07	Finite Element Methods for Partial Differential Equations	Helena Zarin	NM
65	NМ-08	Scientific Computing	Vladimir Kostić	NM
66	TI-01	Theory of Algorithms	Siniša Crvenković	ТCS
67	TI-02	Theory of Automata and Formal Languages	Rozália Sz. Madarász	ТCS

Course type: AO-academic and general education, ТМ-theoretical-methodological, SP-scientific-professional, PА-professional applicative
Course status: O-obligatory, E-elective block
Teaching hours: L-lecture, E-exercise, АE-auditory exercises, LE-laboratory exercises, OTF-other teaching forms (seminar work, etc.), SRW-study research work

Show less