22DM1 - Mathematical programming
| Course specification | ||||
|---|---|---|---|---|
| Course title | Mathematical programming | |||
| Acronym | 22DM1 | |||
| Study programme | Biochemical Engineering and Biotechnology,Chemical Engineering,Environmental Engineering,Material Engineering,Metallurgical Enginering | |||
| Module | ||||
| Lecturer (for classes) | ||||
| Lecturer/Associate (for practice) | ||||
| Lecturer/Associate (for OTC) | ||||
| ESPB | 6.0 | Status | ||
| Condition | Облик условљености | |||
| The goal | Mathematical programming is the part of Mathematics which studies wide classes of extremal problems. Mentioned problems are involved in many practical problems and it's solving is ver important..The aim of this course is to formulate and solve extremal problems. | |||
| The outcome | Acquisition and improvement of theoretical and practical knowledge in the field of theory of extreme problems. | |||
| Contents | ||||
| Contents of lectures | The subject of mathematical programming. Examples of mathematical models. Elements of convex analysis. Linear programming. Transport problem..Nonlinear programming. Problem of unconstrained optimization - necessary and sufficient conditions for optimality.Extremal problems with constraints.. Lagrange function. Convex programming.Karush-Kuhn-Tucker theorem. Game theory. | |||
| Contents of exercises | Solving examples and tasks that illustrate various concepts presented in the theoretical contens as well as their mutual relations. Moreover, the practical examples give an opportunity to exercise applying acquired theoretical knowledge to problems of natural and technical-technological sciences. | |||
| Literature | ||||
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| Number of hours per week during the semester/trimester/year | ||||
| Lectures | Exercises | OTC | Study and Research | Other classes |
| 3 | ||||
| Methods of teaching | Lectures | |||
| Knowledge score (maximum points 100) | ||||
| Pre obligations | Points | Final exam | Points | |
| Activites during lectures | Test paper | |||
| Practical lessons | Oral examination | 40 | ||
| Projects | ||||
| Colloquia | 60 | |||
| Seminars | ||||