Faculty of Technical Sciences

Subject: Optimization methods and mathematical modeling (17.D0M39Z)

General information:
 
Category Scientific-professional
Scientific or art field
  • Applied Computer Science and Informatics
  • Teorijska i primenjena matematika
ECTS 10

Enabling students to think abstractly and acquire knowledge in the field of selected optimization methods. The goal is to develop in the student the way of thinking that will enable postulating mathematical models for practical optimization problems and solve them successfully. These problems are of diverse nature, so the student is trained to use corresponding software for their solving (Matlab, Mathematica).

To utilize acquired knowledge in professional subjects and practical work, develop and solve mathematical models in the field of professional subjects using covered subject content in optimization methods.

Theory (lectures): Mathematical modelling and simulation. Classic optimization methods. One-dimensional optimization. Convex and non-convex programming. Linear programming (graph method; simplex method, transport problem). Non linear programming (unconditional optimization, square programming, convex programming, separable programming, integer programming). Dynamic programming. Multicriteria optimization. Compromise programming. Abstract programming. Variation bill. Part of the teaching is realized through independent research and study work in the field of mathematics. Research and study work includes active following of primary scientific sources, organization and conducting experiments and statistical data processing, numeric simulation, possible writing of scientific paper in the field of mathematics.

Lectures. Consultations. Lectures are realized by combining theory and practice. Theoretical part is followed by appropriate examples which lead to clarification of the theoretical part. Apart from lectures and practical classes, consultations are held regularly. Part of subject content, which represents a logical unity, can be taken as a part of the exam during the teaching process. During lectures (through project work) it is necessary to prove elementary knowledge of at least one program packages (C, Pascal, Matlab. Mathematica) needed for modelling and simulation of a problem treated by optimization methods. Part of subject content as agreed upon and which makes unity is can be taken orally as a presentation and submitted in written form as a seminar paper. Oral part of the final exam is eliminatory. Through research and study work, student studies scientific journals and other relevant literature and individually expands subject content covered in classes. In cooperation with professor, student is enabled for independent writing of scientific paper.

Authors Title Year Publisher Language
Zeidler E. Nonlinear Functional Analysis and Aplications 1985 Springer-Verlag, New York-Berlin-Heidelberg-Tokyo English
I. Ekeland, R. Temam Convex analysis and variational problems 1976 Nort-Holand English
Course activity Pre-examination Obligations Number of points
Term paper Yes Yes 20.00
Lecture attendance Yes Yes 5.00
Theoretical part of the exam No Yes 55.00
Project defence Yes Yes 20.00

Prof. Ralević Nebojša

Full Professor

Lectures
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Prof. Lukić Tibor

Full Professor

Lectures
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Asst. Prof. Ovcin Zoran

Assistant Professor

Lectures

Prof. Ralević Nebojša

Full Professor

Study research work
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Prof. Lukić Tibor

Full Professor

Study research work
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Asst. Prof. Ovcin Zoran

Assistant Professor

Study research work

Faculty of Technical Sciences

© 2024. Faculty of Technical Sciences.

Contact:

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(+381) 21 6350 413

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

© 2024. Faculty of Technical Sciences.