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Calculus 1

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About This Course

Calculus is a foundational course at Astana IT University; it plays an important role in the understanding of science, engineering, economics, and computer science, among other disciplines. This calculus-1 course covers differentiation and integration of functions of one variable, with applications. Topics include:

  • • Concepts of Function, Limits and Continuity
  • • Differentiation Rules, Application to Graphing, Rates, Approximations, and Extremum Problems
  • • Definite and Indefinite Integration
  • • The Fundamental Theorem of Calculus
  • • Applications to Geometry: Area, Volume, and Arc Length
  • • Applications to Science: Average Values, Work, and Probability
  • • Techniques of Integration
  • • Approximation of Definite Integrals, Improper Integrals, and L'Hôspital's Rule


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Course Staff

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Madi Raikhan

candidate of physical and mathematical sciences, associate professor

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