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Faculty of Technical Sciences

Subject: Selected Chapters 2 in Mathematics (17.DZ02M)

General information:
 
Category Scientific-professional
Scientific or art field Teorijska i primenjena matematika
ECTS 5

To acquire knowledge which can be used in professional subjects and practical work, develop and solve mathematical models for engineering courses using the knowledge gained through selected chapters in mathematics

Student is competent for using acquired knowledge in further education within professional courses, as well as for making, analysing and solving mathematical models. He is able to solve tasks from the above fields and to follows courses in which algebra and mathematical analysis are applied. Acquired knowledge is used for solving mathematical models in professional courses.

Student can choose in consultation with programme supervisor, one of the suggested modules: 1. Numerical Mathematics 2; 2. Optimization 2; 3. Pattern Recognition 2; 4. Partial Differential Equations 2; 5. Nonlinear Equations 2; 6. Computational geometry 2; 7. Elements of Functional Analysis 2; 8. Combinatorics 2; 9. Graph Theory 2;10.Operational Research- Linear Programming 2; 11. Probability 2; 12. Statistics 2;13.Stochastic Processes 2; 14. Vector analysis 2; 15. Complex Analysis 2; 16. Linear Algebra 2; 17. Differential and Difference Equations 2; 18. Euclidean and Non-Euclidean Geometry 2; 19. Fractional Calculus,Differential Equations 2; 20. Operational Research-Quiuing theory 2; 21. Logic in Computing 2; 22. Discrete Mathematics 2; 23. Higher order Logic 2; 24. Theory of Mobile Processes 2; 25. Numerical Methods of Linear Algebra 2; 26. Fuzzy Sets 2; 27. Economic and Financial Mathematics 2; 28. Groups and Algebras Li 2; 29. Formal Languages and Automata Theory 2; 30. Process Algebras 2. Part of the course is in the form of independent research and study in the field of mathematics. Study and research work is based on primary scientific sources, organization and conduction of experiments and statistical data analysis, numerical simulations, and possible paper in the field of mathematics.

Lectures. (The student can choose in consultation with supervisor, one or more modules depending on module scope). Consultations. Lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. In addition to lectures there are regular consultations. Through research and study work the student will, on the bases of scientific journals and oth

Authors Title Year Publisher Language
Alexander Mood Introduction to the theory of statistics 2005 McGraw Hill English
M. Sipser Introduction to the Theory of Computation 2006 Thomson Course Technology English
G.Winskel The Formal Semantics of Programming Languages 1993 MIT Press English
Bishop, C. M. Pattern Recognition and Machine Learning 2006 Springer-Verlag, New York English
B.S. Everit Statistics 2006 Cambridge University Press English
Sheldon Ross Probability models 1997 Academic Press English
Shamos, M. I., Preparata, F. P. Computational Geometry: An Introduction 1985 Springer-Verlag, New York-Berlin-Heidelberg-Tokyo English
Hung T. Nguyen An Introduction to Random Sets 2006 Chapman and Hall/CRC English
D. Miller, Gopalan Nadathur Programming with Higher-order Logic 2012 Cambridge University Press English
J. Lambek and P. J. Scott Introduction to Higher Order Categorical Logic 1986 Cambridge University Press English
Berman, A., Plemmons, R.J. Nonnegative Matrices in the Mathematical Sciences 1994 Classics in Applied Mathematics 9, SIAM, Philadelphia English
D. Sangiorgi The pi-calculus, a Theory of Mobile Processes 2001 Cambridge University Press English
Sangiorgi, D., Walker, D. The Pi-Calculus : A Theory of Mobile Processes 2001 Cambridge University Press English
Franco P. Preparata, Michael Ian Shamos Computational Geometry an Introduction 1985 Springer English
Papoulis, A. Probability, Random Variables And Stoshastic Processes 2002 McGraw Hill English
Jorge Nocedal, Stephen J. Wright Numerical Optimization 2006 Springer English
Course activity Pre-examination Obligations Number of points
Theoretical part of the exam No Yes 50.00
Project Yes Yes 50.00
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Prof. Biljana Mihailović

Full Professor

Lectures

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Prof. Jovanka Pantović

Full Professor

Lectures

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Prof. Ksenija Doroslovački

Full Professor

Lectures

Prof. Lidija Čomić

Full Professor

Lectures

Prof. Ljiljana Teofanov

Full Professor

Lectures

Prof. Marko Kostić

Full Professor

Lectures

Prof. Nebojša Ralević

Full Professor

Lectures

Prof. Sandra Buhmiler

Full Professor

Lectures

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Prof. Silvia Gilezan

Full Professor

Lectures

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Prof. Slavica Medić

Full Professor

Lectures

Prof. Tatjana Grbić

Full Professor

Lectures

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Prof. Tibor Lukić

Full Professor

Lectures

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Assoc. Prof. Filip Tomić

Associate Professor

Lectures

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Assoc. Prof. Jelena Ivetić

Associate Professor

Lectures

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Assoc. Prof. Ljubo Nedović

Associate Professor

Lectures

Assoc. Prof. Maja Nedović

Associate Professor

Lectures

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Asst. Prof. Nataša Duraković

Assistant Professor

Lectures

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Asst. Prof. Srđan Milićević

Assistant Professor

Lectures

Asst. Prof. Vladimir Ilić

Assistant Professor

Lectures

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Prof. Biljana Mihailović

Full Professor

Study research work

API Image

Prof. Jovanka Pantović

Full Professor

Study research work

API Image

Prof. Ksenija Doroslovački

Full Professor

Study research work

Prof. Lidija Čomić

Full Professor

Study research work

Prof. Ljiljana Teofanov

Full Professor

Study research work

Prof. Marko Kostić

Full Professor

Study research work

Prof. Nebojša Ralević

Full Professor

Study research work

Prof. Sandra Buhmiler

Full Professor

Study research work

API Image

Prof. Silvia Gilezan

Full Professor

Study research work

API Image

Prof. Slavica Medić

Full Professor

Study research work

Prof. Tatjana Grbić

Full Professor

Study research work

API Image

Prof. Tibor Lukić

Full Professor

Study research work

API Image

Assoc. Prof. Filip Tomić

Associate Professor

Study research work

API Image

Assoc. Prof. Jelena Ivetić

Associate Professor

Study research work

API Image

Assoc. Prof. Ljubo Nedović

Associate Professor

Study research work

Assoc. Prof. Maja Nedović

Associate Professor

Study research work

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Asst. Prof. Nataša Duraković

Assistant Professor

Study research work

API Image

Asst. Prof. Srđan Milićević

Assistant Professor

Study research work

Asst. Prof. Vladimir Ilić

Assistant Professor

Study research work

Faculty of Technical Sciences

© 2024. Faculty of Technical Sciences.

Contact:

Address: Trg Dositeja Obradovića 6, 21102 Novi Sad

Phone:  (+381) 21 450 810
(+381) 21 6350 413

Fax : (+381) 21 458 133
Emejl: ftndean@uns.ac.rs

© 2024. Faculty of Technical Sciences.