PHD STUDIES

Study program – Mathematics

Mathematics - 3 years, 180 ECTS

  • Study length: 3 years (6 semesters)
  • Total number of ECTS: 180
  • This Study Program became active since the 2022/23. school year.
  • Note: The study program will be performed in serbian and english languages.

Dictionary of terms:

  • L – the number of classes of lectures
  • RW – the number of classes of exercises
  • ECTS – European Credit Transfer and Accumulation System
1st yearLRWECTS
FIRST SEMESTER
Elective course 14069
Elective course 24069
Preparation of a doctoral dissertation 100212
SECOND SEMESTER
Elective course 34069
Elective course 44069
Preparation of a doctoral dissertation 200212
60
2nd yearLRW
ECTS
FIRST SEMESTER
Elective course 54069
Elective course 64069
Preparation of a doctoral dissertation 300212
SECOND SEMESTER
Elective course 74069
Special course 14069
Preparation of a doctoral dissertation 400212
60
3rd yearLRWECTS
FIRST SEMESTER
Scientific research work 100104
Preparation of a doctoral dissertation 5001026
SECOND SEMESTER
Scientific research work 200104
Preparation of a doctoral dissertation 6001026
60
List of elective courses - M3LRWECTS
Algebra 44069
Universal algebra4069
Commutative rings4069
Rings and modules4069
Algebraic geometry4069
Homology methods in algebra4069
Model-theoretical algebra4069
Non-commutative algebra4069
Introduction to Hopf algebras4069
Discrete mathematics4069
Introduction to the theory of representations4069
Automorphic forms and representations4069
Analytic number theory4069
Algebraic number theory4069
Elliptic curves and an introduction to Diophantine geometry4069
Special course - Algebra4069
Analysis 44069
Complex analysis 24069
Theory of manifolds4069
Global analysis4069
Morse theory4069
Symplectic manifolds4069
Chaos theory in dynamical systems4069
Contact dynamics4069
Hamiltonian dynamics4069
Hamiltonian dynamics with elements of Flore's theory4069
Flor's theory with applications in contact and Hamiltonian dynamics4069
Hardy's and Bergman's spaces4069
Whole functions4069
The premises of Soboljevo4069
Integral operators4069
Interpolation of operators4069
Matrix analysis4069
Algebras of operators4069
Non-commutative dynamics4069
Spectral theory4069
Geometric theory of harmonic functions4069
Classical harmonic analysis4069
Quasiconformal and harmonic mappings4069
Differential operators4069
Pseudodifferential operators4069
Compact and non-self-conjugate operators4069
Banach algebras4069
Hilbert modules4069
K theory C* algebra4069
Pseudoholomorphic curves in symplectic manifolds4069
Fredholm mappings in global analysis4069
Contact manifolds and holomorphic curves4069
Symplectic and Hamiltonian actions4069
Near-complex structures and holomorphic curves4069
Linear topological spaces4069
Theory of distributions4069
Functional analysis4069
Nonlinear functional analysis4069
Stability of solutions of ordinary differential equations4069
Qualitative analysis of ordinary differential equations4069
Complex dynamic systems4069
Asymptotic analysis4069
Fixed point theory4069
Geometric theory of functions 24069
Analysis on manifolds4069
Special course - Analysis and differential equations4069
Riemannian geometry A4069
Riemannian geometry B4069
Groups in geometry A4069
Groups in geometry B4069
Non-Euclidean geometries4069
Regular polytopes4069
Geometry of discrete groups4069
Complex manifolds4069
Spectral geometry4069
Differential geometry of vector layers4069
Differential geometric methods in statistics4069
Discrete differential geometry4069
Geometry in computer science4069
Geometry in astronomy4069
Geometric modeling in industry and design4069
Symmetry groups4069
Groups of transformations4069
Homogeneous spaces4069
Representations of Lie groups and algebras4069
Symplectic geometry4069
Stochastic differential geometry4069
Theory of submanifolds4069
Special course - Geometry4069
Model theory4069
Theory of computability4069
Evidence theory4069
Theory of sets4069
Mathematical logic in computing4069
Non-classical logic4069
Theoretical computing4069
Theory of automats and formal grammar4069
Boolean algebras4069
Applied logical theories4069
Non-standard analysis4069
Special course - Mathematical logic and theoretical computing4069
Selected chapters of the theory of extremal problems4069
Numerical analysis 34069
Finite element method with applications4069
Finite difference method4069
Theory of approximations with applications4069
Game theory4069
Regularization methods4069
Discrete optimization4069
Pontryagin's maximum principle4069
Theory of location problems with applications4069
Metaheuristic methods - advanced concepts4069
Spectral theory of graphs with applications4069
Algorithms on graphs and their applications4069
Combinatorial graph theory with applications4069
Special course - Applied mathematics4069
Algebraic combinatorics4069
Dynamic systems4069
Optimization4069
Data structures4069
Algebraic topology4069
Differential topology4069
Topological combinatorics4069
Discrete and computational topology4069
Function spaces4069
PL topology4069
K - theory4069
Vector layers and characteristic classes4069
Homotopy theory4069
Low dimensional topology4069
Cohomology of groups4069
Spectral arrays4069
Selected chapters from general topology4069
Selected chapters in algebraic topology4069
Cohomological operations4069
The theory of cobordism4069
Equivariant topologies and applications4069
Special course - Topology4069
Mathematical statistics4069
Bayesian data analysis4069
Theory of random processes4069
Reliability theory4069
Theory of mass catering4069
Spectral theory of random processes4069
Gaussian random processes4069
Stationary random processes4069
Time series analysis4069
Statistics of random processes4069
Stochastic differential equations4069
Stochastic financial mathematics4069
Statistical hypothesis testing4069
Linear statistical models4069
Non-parametric statistics4069
Information theory4069
Coding theory4069
Ergodic theory4069
Stochastic analysis4069
Probability measures in metric spaces4069
Theory of extreme values4069
Risk theory - advanced concepts4069
Special Course - Probability and Statistics4069
Fluid mechanics4069
Integrable dynamical systems and solitons4069
General Relativity and Cosmological Models (NEW)4069
Dynamics of body systems4069
Analytical mechanics4069
Educational Software - Advanced Concepts4069
Research methodology in teaching mathematics and computer science with practicum4069