Faculty of Technical Sciences

University of Novi Sad

Mathematics in Engineering

General information:

Level and type of studies
Doctoral Academic Studies

Academic degree
Doctor of Science - Applied Mathematics (Ph.D.App.Math.)

Educational field
Interdisciplinary

Scientific, professional or art field
Applied Mathematics: Technical Sciences; Mathematical Sciences

Duration (years/sem)
3 / 6

Total ECTS
186

 

Management staff for the study programme:

Assoc. Prof. Tomić Filip

Associate Professor

Study Program Plan

Course

Lect.

SIR

ECTS

Tea.

Year: 1, Semester: Winter

Methods of Scientific Research

Lectures:

1

SIR: 6
ECTS:

8

Teaching staff:

Selected Chapters 1 in Mathematics

Lectures:

2

SIR:

1

ESPB:

5

Teaching staff:

Selected Chapters 2 in Mathematics

Lectures:

2

SIR:

1

ESPB:

5

Teaching staff:

Selected topics in physics

Lectures:

2

SIR:

1

ESPB:

5

Teaching staff:

Monte Carlo simulations in statistical physics

Lectures:

2

SIR:

1

ESPB:

5

Teaching staff:

Computer vision and information extraction from multimedia data

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Deep learning and biologically inspired machine learning

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Computer Science Selected Topics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Mathematical basics of artificial intelligence

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected Chapters in Computational Intelligence

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Interactive theorem provers

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected chapters in data science

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Optimization methods and mathematical modeling

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Nonlinear dynamics, chaos and fractals-application in engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Dynamical systems in the light of linear algebra 1

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Image processing 1

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Numerical Solutions of Differential Equations 1

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Combinatorial and geometry algorithms

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Mathematical physics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Formal methods in Engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Formal Models and Methods for Concurrency

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected chapters of digital signal processing in biomedical engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Statistical physics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected topics in information systems engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Statistical Inference in Engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Fundamentals of cryptology

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Shape Modeling and Topological Shape Analysis

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected chapters in programming

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Digital Signal Processing Algorithms

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Parallel computing

Lectures:

5

SIR:

2

ESPB:

13

Teaching staff:

Design of critical mission systems

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Modern Coding Theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Machine Learning

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:
Year: 1, Semester: Summer

Computational Models

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Aggregation functions

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Fixed point theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Functional analysis 1

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Theory of Mobile Processes

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Applied algorithms

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Partial differential equations

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Categorial proof theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Applied Abstract Algebra

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Discrete Random Structures

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Eigenvalues and eigenvectors

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Large deviations principles

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Operational Research

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Pattern Recognition

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Logic in Computer Science

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Graph theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Mathematical basis of the fuzzy systems

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Computational complexity theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Random sets

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Digital Geometry

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Actuarial Mathematics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Statistics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Theory of formal languages

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Computational Geometry

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Combinatorics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Numerical Analysis

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected chapters in programming paradigms

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Computational Models

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Actuarial Mathematics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Theory of formal languages

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Functional analysis 1

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Categorial proof theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Random sets

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Aggregation functions

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Large deviations principles

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Pattern Recognition

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Discrete Random Structures

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Applied Abstract Algebra

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Digital Geometry

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Theory of Mobile Processes

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Combinatorics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Mathematical basis of the fuzzy systems

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Computational complexity theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Numerical Analysis

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Applied algorithms

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Fixed point theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Computational Geometry

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Statistics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Logic in Computer Science

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Partial differential equations

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Eigenvalues and eigenvectors

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Graph theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Operational Research

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Introduction to Scientific Research Method

Lectures:

0

SIR: 6
ECTS:

12

Teaching staff:
Year: 2, Semester: Winter

Spectral graph theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Reasnoning about knoledge and automatic conclusion

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Fuzzy measures and integrals

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Nonlinear equations with applications

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Semantics of programming languages

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Statistical Processing of Fuzzy Data

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Positional Games

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Combinatorial matrix theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Fuzzy systems and applications

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Application of Linear Algebra in Engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Stochastic Processes

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Metaheuristic methods

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Functional analysis 2

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Numerical methods for differential equations 2

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Desicion-making theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Image processing 1

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Dynamical systems in the light of linear algebra 1

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Mathematical physics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected chapters in data science

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected Chapters in Computational Intelligence

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Computer vision and information extraction from multimedia data

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Nonlinear dynamics, chaos and fractals-application in engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Digital Signal Processing Algorithms

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Deep learning and biologically inspired machine learning

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected chapters of digital signal processing in biomedical engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Combinatorial and geometry algorithms

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Dynamic systems in the light of linear algebra

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Computer Science Selected Topics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Formal Models and Methods for Concurrency

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Image processing 2

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Fundamentals of cryptology

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Shape Modeling and Topological Shape Analysis

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Statistical physics

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Parallel computing

Lectures:

5

SIR:

2

ESPB:

13

Teaching staff:

Formal methods in Engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected chapters in programming

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Interactive theorem provers

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Selected topics in information systems engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Optimization methods and mathematical modeling

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Mathematical basics of artificial intelligence

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Statistical Inference in Engineering

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Design of critical mission systems

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Modern Coding Theory

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Machine Learning

Lectures:

5

SIR:

2

ESPB:

10

Teaching staff:

Doctoral thesis - Research and publication of results 1

Lectures:

0

SIR: 6
ECTS:

10

Teaching staff:
Year: 2, Semester: Summer

Doctoral thesis - Research and publication of the results 2

Lectures:

0

SIR: 15
ECTS:

18

Teaching staff:

Doctoral thesis - Theoretical foundations

Lectures:

0

SIR: 5
ECTS:

12

Teaching staff:
Year: 3, Semester: Winter

Doctoral thesis - Research and publication of the results 3

Lectures:

0

SIR: 20
ECTS:

30

Teaching staff:
Year: 3, Semester: Summer

Doctoral thesis - Elaborat

Lectures:

0

SIR: 20
ECTS:

20

Teaching staff:

Doctoral thesis - writing and defending a thesis

Lectures:

0

SIR: 0
ECTS:

10

Teaching staff:

Faculty of Technical Sciences

University of Novi Sad
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Contact:

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