Linearno programiranje u srednjoškolskoj nastavi matematike

Ovaj rad opisuje glavne sastavnice linearnog programiranja, funkciju cilja i dopustivo područje, uključujući njihove moguće oblike i metode rješavanja problema linearnog programiranja – geometrijski pristup rješavanju problema linearnog programiranja i opis koraka simpleks metode, najpoznatijeg algoritma za rješavanje problema linearnog programiranja. Posebno pažnja je usmjerena na geometrijski pristup rješavanju problema linearnog programiranja i njegovu primjenu u srednjoškolskoj nastavi matematike. Nadalje, u ovom radu možemo pronaći područja i načine primjene linearnog programiranja u ravnini i u višedimenzionalnim prostorima. Također, opisuje se i korištenje informatičke tehnologije u svrhu rješavanja i vizualizacije problema linearnog programiranja koja su primjerena učenicima srednjih škola. Zaključno, ovaj rad je opis procesa linearnog programiranja i njegove primjene u nastavi matematike u srednjim školama. S obzirom na to, nadam se da će mnogima biti pomoć u radu te poticaj i ohrabrenje za poučavanje matematike. This thesis describes the main ideas and steps in linear programming, objective function and feasible area, including their possible forms and methods of solving linear programming problems - a geometric approach to solving the problem of linear programming and a description of the steps of the simplex method, well known algorithm for solving problems of linear programming. Particular attention is focused on the geometric approach to solving the problem of linear programming and its application in secondary school mathematics. Furthermore, in this thesis we can find areas and ways of applying linear programming in the plane and in multidimensional spaces. We also describe the use of informatic technology for the purpose of solving and visualizing linear programming problems that are appropriate for high school students. To conclude, this thesis describes the process of linear programming and its application in teaching mathematics in secondary schools. With this in mind, Ihope that this thesis will be helpful in work, thrust and encouragement for many to teach mathematics.