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Matematik analiz

MatAnM2118 · 3-semester · 60110600 Music Education · 2022 intake

Credits
4
Total hours
120
Contact hours
16
Type
Compulsory
Block
Majburiy fanlar
Final assessment
Imtihon

Hours breakdown

  • Lecture8 h
  • Practical8 h
  • Independent study104 h

Topics · 20

Lecture · 8 h

  1. 1.Aniq integralning ta’rifi, uning mavjudlik shartlari. Aniq integralning xossalari va uni hisoblash2
  2. 2.Integrallash sohasi chegaralanmagan xosmas integral2
  3. 3.Chegaralanmagan funktsiyaning xosmas integrali2
  4. 4.Aniq integralning geometrik kattaliklarni hisoblashga tatbiqi. Aniq integralning fizikaga tatbiqi2

Practical · 8 h

  1. 1.Aniq integralning ta’rifi, uning mavjudlik shartlari. Aniq integralning xossalari va uni hisoblash2
  2. 2.Integrallash chegarasi, chegaralanmagan integral, uni hisoblash2
  3. 3.Chegaralanmagan funktsiyaning xosmas integrali, uni hisoblash2
  4. 4.Aniq integralning geometrik kattaliklarni hisoblashga tatbiqi. Aniq integralning fizikaga tatbiqi2

Independent study · 104 h

  1. 1.Asosiy elementar funksiyalarning hosilalari8
  2. 2.Egri chiziq urinmasi va normalning tenglamalari8
  3. 3.Yig’indi va ko‘paytmaning yuqori tartibli hosilalari8
  4. 4.Differentsiallash qoidalari.8
  5. 5.Oshkormas funktsiya.8
  6. 6.Asosiy elementar funksiyalarning n- tartibli hosilalari formulasini keltirib chiqarish10
  7. 7.Ikkinchi tartibli hosilaning mexanik ma’nosi8
  8. 8.Ba’zi bir elementar funksiyalar uchun Teylor formulalari10
  9. 9.Yuqori tartibli hosila yordamida funksiyalarni ekstremumga tekshirish10
  10. 10.Parametrik ko‘rinishda berilgan funksiyalarni differentsiallash10
  11. 11.Hosilaning funktsiya grafigini yasashga tatbiqi8
  12. 12.Asosiy integrallar jadvali8

Assessment (max score)

  • Final exam 5
  • Total 5
  • Midterm 1 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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