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Calculus (2)

Course Description: Definition of the definite integral and its properties. Mean value theorem. The fundamental theorem of calculus and the indefinite integral. Integration of basic functions. Derivatives and integrals of hyperbolic and inverse hyperbolic functions. Integration techniques: substitution method, integration by parts. Trigonometric integrals. Partial fractions and the method of completing the square. Other substitutions. L'Hopital's rule. Improper integrals. Calculation of areas and volumes of solids of revolution. Calculation of arc length of a curve. Polar coordinates and sketching polar curves.
Credit hours: 4
Prerequisites: MATH.101
Objectives of the course :

To provide the student with the basic concepts to understand the properties of integration, how to calculate integrals, and how to compute areas and volumes.

Course outputs :

- Distinguishing between integration and differentiation and the relationship between them - Knowing the basic properties of integration - Writing some functions defined by integrals through the definition of definite and indefinite integrals - Knowing Riemann sums and calculating areas and volumes using integrals - Identifying integrals of all types of functions, as well as hyperbolic and inverse hyperbolic integrals and the scope of their applications - Training the student on multiple methods for calculating integrals - Identifying the geometric meaning of integration.

Additional information:
  • Last update: 2026-09-15

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