Type of studies | Title |
---|---|
Doctoral Academic Studies | Mathematics in Engineering (Year: 1, Semester: Winter) |
Doctoral Academic Studies | Mathematics in Engineering (Year: 2, Semester: Winter) |
Category | Scientific-professional |
Scientific or art field |
|
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 |
---|---|---|---|---|
1985 | English | |||
1976 | 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 |
Full Professor
Full Professor
Assistant Professor
Full Professor
Full Professor
Assistant Professor
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