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Matematik modellashtirish

MM15609 · 5-semester · 60540200 Applied Mathematics · 2024 intake

Credits
4
Total hours
120
Contact hours
60
Type
Compulsory
Block
Majburiy fanlar
Final assessment
Imtihon

Hours breakdown

  • Lecture30 h
  • Practical30 h
  • Independent study60 h

Topics · 12

Lecture · 36 h

  1. 1.Model va modellashtirish tushunchalari.Bilish jarayonida va insonning amaliy faoliyatida modellash-tirishning roli. Mate-matik model tushun-chasi.Matematik modellarga misol-lar.Matematik modelni ifodalash shakllari.8
  2. 2.Matematik modellarga qo‘yiladigan asosiy talablar.Matematik modellarni qurish metodlari.Matematik model va uning real obyekti orasidagi muvofiqlilik. Matematik modellarning nazariy va amaliy tadqiqoti, ularning adekvatligi.8
  3. 3.Energiyaning saqlanish qonuni. Massa (materiya) ning saqlanish qonuni.Impulsning saqlanish qonuni.Matematik modellashtirishda variatsion prinsipdan foydalanish.Ierarxiya prinsipidan foydalanib, matematik modellar qurish.8
  4. 4.Jamiyat rivojlanishining demografik modeli.Mal’tus va Fyurxst-Perl modellari.Populyatsiya chiziqsiz modelining uvh turdagi rejimi.6
  5. 5.«Yirtqich-o‘lcha» sistemasining o‘zaro munosabat modeli.Ikki davlat o‘rtasidagi qurollanish poygasi modeli.Ikki armiya jangovar harakati modeli.6

Practical · 36 h

  1. 1.Tabiat qonunlaridan foydalanib, matematik modellar qurishga doir masalalar. Obyekt va hodisalarning formatlashtirish.8
  2. 2.Variatsion prinsipdan foydalanib matematik modellar qurishga doir masalalar. Iyerarxik prinsipdan foydalanib matematik modellar qurishga doir masalalar.8
  3. 3.Matematik modellarning nazariy va amaliy tadqiqotiga doir masalalar. Matematik model va uning real obyekti orasidagi muvofiqlilikni tahlil qilishga doir masalalar.8
  4. 4.Jamiyat rivojlanishining modellariga doir masalalar. Demografik modellarga doir masalalar.6
  5. 5.Biologik modellarga doir masalalar. Turlar orasidagi munosabatlarga doir masalalar. Muvozanat va turg‘unlik masalalariga doir masalalar.6

Independent study · 44 h

  1. 1.Amaliy mashg‘ulotlarga nazariy tayyorgarlik ko‘rish. Eksperimentni rejalashtirish.22
  2. 2.Statistik modellashtirish elementlari. Yumshoq va qattiq modellar.22

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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