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Matematik analiz 1

MATH111 · 1-semester · 60540100 Mathematics · 2026 intake

Credits
6
Total hours
180
Contact hours
75
Type
Compulsory
Block
Majburiy fanlar
Final assessment
Imtihon

Hours breakdown

  • Lecture45 h
  • Seminar30 h
  • Independent study105 h

Topics · 36

Lecture · 45 h

  1. 1.Sets and Operations on sets2
  2. 2.Numerikal sets and their properties2
  3. 3.Supremum and infimum2
  4. 4.The concept of a mapping and a functions2
  5. 5.Basic properties of functions2
  6. 6.Linear, qudratic, and linear functions2
  7. 7.Logarithmic and exponential functions2
  8. 8.Trigonometrik expressions, Equations and inequalities2
  9. 9.Trigonometric functions2
  10. 10.Numerical sequences and their properties2
  11. 11.Limits of Numerical sequences and their properties2
  12. 12.Properties of infinitesiemal and infinitly large sequences2
  13. 13.Monotone and fundamental sequences. The Cauchy creterion.2
  14. 14.Subsequences.Limsup and liminf of a sequence.2
  15. 15.Definition of the limit of a function.Right -hand and left -hand limits.2
  16. 16.Properties of the limit of a function2
  17. 17.The first and second remarkable limits2
  18. 18.Contunuity of a function.Functions with discontunuities.2
  19. 19.Cotunuity of elemenary functions .Some important Non - elementary functions4
  20. 20.Properties of continuious functions2
  21. 21.Iniformly continuious functions.Cantor's teorem.3

Seminar · 30 h

  1. 1.Sets and Operations on sets2
  2. 2.Numerikal sets and their properties2
  3. 3.Supremum and infimum2
  4. 4.The concept of a mapping and a functions2
  5. 5.Linear, qudratic, and linear functions2
  6. 6.Logarithmic and exponential functions2
  7. 7.Trigonometrik expressions, Equations and inequalities2
  8. 8.Trigonometrik expressions, Equations and inequalities2
  9. 9.Trigonometric functions2
  10. 10.Numerical sequences and their properties2
  11. 11.Limits of Numerical sequences and their properties2
  12. 12.Properties of infinitesiemal and infinitly large sequences2
  13. 13.Monotone and fundamental sequences. The Cauchy creterion.2
  14. 14.Subsequences.Limsup and liminf of a sequence.2
  15. 15.Subsequences.Limsup and liminf of a sequence.2

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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