Madi Raikhan
candidate of physical and mathematical sciences, associate professor
Calculus 1
AITU
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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
Requirements
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