MathematicsProgram Description
The study program of doctoral studies in Mathematics is established by scientific staff capable for independent research in the mathematical sciences, as well as critical estimation of research in Mathematics and related fields. A key element in this regard is achieving a high level of knowledge and understanding of the latest trends in Mathematics, as well as introducing to the structure of the scientific research process and skills which are necessary for effective preparation, publication and presentation of the results of scientific research, according to standards adopted in the Mathematical sciences.
The study program includes modern areas of Mathematics that are motivated by formulating and solving models for problems that arise in other scientific disciplines, for example in the natural sciences, in many areas of IT, technical, technological, economic research, as well as medical, agricultural and human sciences. Therefore, in addition to research in the field of mathematical sciences, the study program provides to young scientists to gain knowledge for specific applications and integration into general social trends, with aim to use and apply Mathematics in raising of the general level of social development.
Students who complete the doctoral studies are young scientific researchers who possess modern scientific and technical knowledge required for inclusion in the global scientific trends in areas of interest. They have at least one published paper work or accepted for publication in leading international journals in the field of Mathematics of interest, and as a result confirmation that they will be able to continue successful scientific research independently and in collaboration with other researchers. These young doctors will acquire the necessary knowledge for inclusion in the university teaching process in the areas of Mathematics at the undergraduate and graduate studies in Mathematics, as well as studies in other areas. They will have knowledge and techniques needed for inclusion in the technical and scientific teams at other institutions of direct and indirect production, where they will contribute to the quality of scientific models with direct application. Successfull mastering of this program provides knowledge and methodological approach to the analysis of various problems thanks to the specifics of the mathematical formulation of evidence and assertions on which is particulary insisted in Mathematics.
The general structure of the curriculum of studies is very simple. It is anticipated that in the first four semesters the student passes 12 subjects, 3 per semester. Of these 12 subjects, 4 are seminar paperworks (one in each semester), while the remaining 8 are elective subjects that student choose from the available list (which has a total of 63 subjects), in consultation with his advisor.
Student chooses his advisor (tutor) or he is awarded to the student at the begining. Mentor takes over the role of advisor at the time of application of doctoral dissertation.
In respect of seminar paperworks, the student (if it is necessary with help of his advisors) chooses the head of then seminar paperworks from the rank of teachers involved in the study program. In agreement with him he defines and processes the selected material. The results of his work are public exposed at regular scientific seminars at Faculty of Science (in relevant fields), which are held once a week as part of the projects of the Ministry of Science of Republic of Serbia and other projects (international, regional, etc.).
All elective courses and seminars are equivalent to 10 ECTS, which makes a total of 120 ECTS in the first two years of study. The third year is entirely devoted to writing of doctoral dissertation that is 60 ECTS.
CURRICULUM OF DOCTORAL STUDIES OF MATHEMATICS
THE LIST OF (ELECTIVE) SUBJECTS AT DOCTORAL STUDIES 
