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Chiziqli algebra va analitik geometriya

CHAAG11208 · 1-semester · 60540200 Applied Mathematics · 2025 intake

Credits
4
Total hours
120
Contact hours
48
Type
Compulsory
Block
Majburiy fanlar
Final assessment
Imtihon

Hours breakdown

  • Lecture24 h
  • Practical24 h
  • Independent study72 h

Topics · 36

Lecture · 24 h

  1. 1.1. Chiziqli algebra va analitik geometriya faniga kirish.2
  2. 2.2. To‘plamlar va ular ustida amallar.2
  3. 3.3. Chiziqli tenglamalar sistemalari va ularni yechish usullari.2
  4. 4.4. Chiziqli tenglamalar sistemalari va ularni yechish usullari.2
  5. 5.5. Yuqori tartibli determinantlar va ularning xossalari.2
  6. 6.6. Minorlar va algebraik to‘ldiruvchilar. Chiziqli tenglamalar sistemasining.2
  7. 7.7. Chiziqli tenglamalar sistemasini yechishning matritsaviy usuli.2
  8. 8.8. Teskari matritsa.2
  9. 9.9. Chiziqli fazo. O‘lcham va bazis.2
  10. 10.10. Qism fazolarining yig‘indisi va kesishmasi.2
  11. 11.11. Birjinsli sistemalar. Yechimlarning fundamental sistemalari.2
  12. 12.12. Bichiziqli va kvadratik formulalar.2

Practical · 24 h

  1. 1.1. “Chiziqli algebra va analitik geometriya” fanning tarkibiy tuzilmasi.2
  2. 2.2. To‘plam birlashmasi, kesishmasi, simmetrik ayirmasi.2
  3. 3.3. Chiziqli tenglamalar sistemasini yechishning Gauss usuli.2
  4. 4.4. Matritsalarni qo‘shish, ayirish va ko‘paytirish.2
  5. 5.5. Determinantlarni hisoblash.2
  6. 6.6. Chiziqli tenglamalar sistemasini to‘ldirish usullari.2
  7. 7.7. Teskari matritsani topish usullari.2
  8. 8.8. O‘lcham va bazis.2
  9. 9.9. Turli bazislarda vektor koordinatalari orasidagi bog‘lanish.2
  10. 10.10. Ortogonal sistemalarga oid masalalar.2
  11. 11.11. Kvadratik formani kanonik ko‘rinishga keltirish usullari.2
  12. 12.12. Kvadratik formalarga oid masalalar.2

Independent study · 72 h

  1. 1.To‘plam tushunchasi.6
  2. 2.Ikki to‘plamlarning quvvati va Dekart ko‘paytmasi.6
  3. 3.Chiziqli tenglamalar sistemasini yechishning Kramer usuli.6
  4. 4.O‘rinlashtirishlar va o‘rin almashtirishlar.6
  5. 5.Determinantlar ustida amallar bajarish.6
  6. 6.Chiziqli tenglamalar sistemasining minorlari8
  7. 7.Kramer usulida teskari matritsani topish.6
  8. 8.Vektor fazo.6
  9. 9.Ortogonallashtirish jarayoni.6
  10. 10.Bichiziqli va kvadratik formalarga oid misollar yechish.8
  11. 11.Inertsiya qonuniga oid amaliy masalalar.4
  12. 12.Konus kesimlarining kanonik va qutb koordinatalar sistemasidagi tenglamalari.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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