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22MM2 - Mathematical programming

Course specification
Course titleMathematical programming
Acronym22MM2
Study programme
Module
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ESPB5.0Status
      ConditionОблик условљености
      The goalMathematical 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 outcomeAcquisition and improvement of theoretical and practical knowledge in the field of theory of extreme problems.
      Contents
      Contents of lecturesThe 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
      Literature
      1. Nash. S, Sofer, A., Linear and nonlinear programming, McGraw-Hill Companies, Inc., 1996
      Number of hours per week during the semester/trimester/year
      LecturesExercisesOTCStudy and ResearchOther classes
      3
      Methods of teachingLectures
      Knowledge score (maximum points 100)
      Pre obligationsPointsFinal examPoints
      Activites during lecturesTest paper
      Practical lessonsOral examination40
      Projects
      Colloquia60
      Seminars