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Matematik va kompyuterli modellashtirish

MKOM5003 · 5-semester · 60110600 Music Education · 2023 intake

Credits
5
Total hours
150
Contact hours
60
Type
Compulsory
Block
Tanlov fanlar
Final assessment
Imtihon

Hours breakdown

  • Lecture30 h
  • Practical30 h
  • Independent study90 h

Topics · 23

Lecture · 30 h

  1. 1.Model va modellashtirish tushunchalari4
  2. 2.Matematik modelni qurish metodlari4
  3. 3.Xatoliklar arifmetikasi. Xatoliklarni aniqlashda differensial hisobini qo‘llash2
  4. 4.Algebraik va transsendant tenglamalarni taqriban yechish usullari hamda metodlari.2
  5. 5.Funksiyalarni interpolyasiyalashning umumiy masalasi. Chekli ayirmalar2
  6. 6.Sonli differensiallash2
  7. 7.Birinchi tartibli tenglamalarni taqriban yechish2
  8. 8.Chiziqli dasturlash masalalarining qo‘yilishi va unda qo‘llaniladigan modellar.4
  9. 9.Chiziqli dasturlash masalasini simpleks va sun’iy bazis usulda yechish2
  10. 10.Transpotga oid masalalar va ularni yechish usullari.2
  11. 11.Matematik statistika elementlarini modellashtirish4

Practical · 30 h

  1. 1.Turli modellar tuzishga doir misollar yechish.4
  2. 2.Xatoliklar arifmetikasi. Xatoliklarni aniqdashda differensial hisobini qo‘llash2
  3. 3.Bir noma’lumli algrebraik va transsendent tenglamalarni vatarlar va urinmalar va oddiy iteratsiya usullarida yechish2
  4. 4.Chiziqli tenglamalar sistemasini kvadrat ildizlar, Gauss va iteratsiya usullarida yechish2
  5. 5.Lagranj interpolyasion ko‘phadini qurish va xatoligini baholash. Nyutonning I va II interpolyasion ko‘phadlarini qurish va xatoliklarini baholash.2
  6. 6.Lagranj va Nyuton interpolyasion ko‘phadlarni sonli differensiallash2
  7. 7.Trapesiya va Simpson formulasi bo‘yicha sonli integrallash va aniqlikni baholash.2
  8. 8.Koshi masalasini taqriban yechishning Eyler va Runge-Kutga usullari2
  9. 9.Chiziqli dasturlashga keltiriladigan masallarning matematik modelini qurish. Chiziqli dasturlash masalasini grafik usulda yechish4
  10. 10.Chiziqli dasturlash masalasini simpleks, simpleks jadval va sun’iy bazis usullarida yechish.2
  11. 11.Transport masalasini yechishning shimoli - garb burchak usuli.2
  12. 12.Kuzatish natijalarini qayta ishlashga doir masalalar yechish.4

Assessment (max score)

  • Final exam 5
  • Total 5
  • Midterm 1 5
  • Midterm 2 5

Source: HEMIS. Titles as in HEMIS (in Uzbek). Reading list and grading criteria are in the department's approved syllabus.

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